Market System Analyzer
Version 3

User's Guide

Copyright © 2005-2015 Adaptrade Software
www.Adaptrade.com

Disclaimer
HYPOTHETICAL OR SIMULATED PERFORMANCE RESULTS HAVE CERTAININHERENT LIMITATIONS. UNLIKE AN ACTUAL PERFORMANCE RECORD,
SIMULATED RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, SINCETHE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY
HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF
CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATEDTRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT
THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO
REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELYTO ACHIEVE PROFITS OR LOSSES SIMILAR TO THOSE SHOWN.

EasyLanguage and TradeStation are registered trademarks of TradeStation Technologies,
Inc.
MultiCharts is a trademark of MultiCharts, LLC.
Last Revision: Dec 2015 (version 3.5.0)
Copyright © 2005-2015 Adaptrade Software
www.Adaptrade.com

ii

Software License Agreement
This is a legal agreement between you, the licensee, and Adaptrade Software for the Market
System Analyzer software, including associated documentation. By installing, copying, orotherwise using this software, you agree to be bound by the terms of this agreement, as statedbelow.
This software is protected by copyright and intellectual property laws, including internationallaws and agreements. This software is licensed, not sold. The terms of this license agreement
include the following:
1. The software may be freely distributed provided the installation executable is unalteredand distributed in whole.
2. A single license may allow operation of the software only on the computer on which it isoriginally installed. To install the licensed version on more than one computer or to
install it on a different computer, please contact Adaptrade Software for additional
activation codes. Additional codes are generally free of charge for reasonable use.
Regardless of how many copies are installed, a single license grants you the right to use
only one copy at a time.
3. This license agreement is not transferable.
4. You agree not to hold Adaptrade Software liable for any losses or damages resulting
from the use of this software.
5. You agree not to reverse engineer or “decompile” any part or component of thesoftware.
6. The software is provided “as is.” While Adaptrade Software makes every effort toprovide reliable software, free of defects, omissions, and errors, there is no guaranteethat such defects, omissions and errors are not present in the software. You accept sole
responsibility for verifying any calculations made by the software.

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Table of Contents
Disclaimer .............................................................................................................................................................i
Software License Agreement ............................................................................................................................. ii
Table of Contents .............................................................................................................................................. iii
Quick Start .......................................................................................................................................................... 1
Introduction ......................................................................................................................................................... 9
Overview .......................................................................................................................................................... 9
Installation ..................................................................................................................................................... 10
Market Systems and Portfolios ....................................................................................................................... 11
Understanding the Document Windows ......................................................................................................... 11
Program Conventions .................................................................................................................................... 13
Data Requirements ......................................................................................................................................... 14
Examples ........................................................................................................................................................ 15
Input Data .......................................................................................................................................................... 20
Getting Data into the Program ...................................................................................................................... 20
Trade Risk ................................................................................................................................................. 22
Trade Size .................................................................................................................................................. 23
Entry and Exit Dates .................................................................................................................................. 23
ATR ........................................................................................................................................................... 23
Currency Conversion ................................................................................................................................. 23
Trade Type ................................................................................................................................................ 23
Entry and Exit Times ................................................................................................................................ 24
Getting Data From TradeStation or MultiCharts ....................................................................................... 24
Getting Data From Other Sources ............................................................................................................. 24
Reading the Trade Data into MSA ............................................................................................................ 24
WriteTrades EasyLanguage Function ............................................................................................................ 27
Creating Trades from Statistics ...................................................................................................................... 28
Specifying a Risk Value for All Trades ........................................................................................................... 29
Editing Input Data.......................................................................................................................................... 30
Basic Settings ..................................................................................................................................................... 32
Overview ........................................................................................................................................................ 32
Market System Settings................................................................................................................................... 32
Portfolio Settings ............................................................................................................................................ 38
Position Sizing ................................................................................................................................................... 41
Overview ........................................................................................................................................................ 41
None ............................................................................................................................................................... 42
Fixed Size ....................................................................................................................................................... 42
Constant Value ............................................................................................................................................... 42
Fixed Amount of Equity .................................................................................................................................. 43
Percent Volatility............................................................................................................................................ 43
Kelly Formula ................................................................................................................................................ 43

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Fixed Fractional............................................................................................................................................. 44
Optimal f......................................................................................................................................................... 44
Profit Risk Method ......................................................................................................................................... 45
Fixed Ratio ..................................................................................................................................................... 45
Generalized Ratio ........................................................................................................................................... 46
Margin Target ................................................................................................................................................ 47
Leverage Target ............................................................................................................................................. 48
Percent of Equity ............................................................................................................................................ 48
Max Drawdown Method ................................................................................................................................. 48
Maximum Possible ......................................................................................................................................... 49
Equity Curve Crossovers ................................................................................................................................ 49
Real Time Position Sizing............................................................................................................................... 50
Monte Carlo Analysis ....................................................................................................................................... 53
Overview ........................................................................................................................................................ 53
Options ........................................................................................................................................................... 56
Parameter Studies ............................................................................................................................................. 57
Overview ........................................................................................................................................................ 57
Plotting a Curve ............................................................................................................................................. 57
Optimizing Position Sizing ............................................................................................................................... 60
Overview ........................................................................................................................................................ 60
Optimization Objectives ................................................................................................................................. 60
Options ........................................................................................................................................................... 61
Trade Dependency ............................................................................................................................................ 64
Overview ........................................................................................................................................................ 64
Setting Dependency Rules .............................................................................................................................. 65
Significance Testing .......................................................................................................................................... 68
Correlation Analysis ......................................................................................................................................... 70
Viewing the Results ........................................................................................................................................... 72
Equity Table ................................................................................................................................................... 72
Performance Results ...................................................................................................................................... 72
Settings Tab ............................................................................................................................................... 73
Summary Tab ............................................................................................................................................ 74
Return Tables Tab ..................................................................................................................................... 78
Dependency Tab ........................................................................................................................................ 78
Significance Test Tab ................................................................................................................................ 79
Correlation Table Tab (portfolios only) .................................................................................................... 79
Monte Carlo Results ....................................................................................................................................... 80
Trading Parameters .................................................................................................................................... 80
Key Results at Select Confidence Levels .................................................................................................. 80
Monte Carlo Results at X% Confidence .................................................................................................... 81
Optimization Results ...................................................................................................................................... 82
Working with MSA Files .................................................................................................................................. 86
Overview ........................................................................................................................................................ 86v

Saving Analysis Reports ................................................................................................................................. 86
Menu Commands .............................................................................................................................................. 88
File Menu Commands .................................................................................................................................... 88
New Command .......................................................................................................................................... 88Open Command ......................................................................................................................................... 88
Close Command ........................................................................................................................................ 89
Save Command .......................................................................................................................................... 89
Save As Command .................................................................................................................................... 89
Export Analysis Report ............................................................................................................................. 89
Print Command .......................................................................................................................................... 89
Print Preview Command ............................................................................................................................ 90
Print Setup Command ................................................................................................................................ 90
Properties Command ................................................................................................................................. 91
1, 2, 3, …Command .................................................................................................................................. 91
Exit Command ........................................................................................................................................... 91
View Menu Commands ................................................................................................................................... 91
Equity Table Command ............................................................................................................................. 91
Performance Results Command ................................................................................................................ 92
Monte Carlo Results Command ................................................................................................................ 92
Optimization Results Command ................................................................................................................ 92
Randomize Trade Order Command ........................................................................................................... 92
Restore Original Order Command ............................................................................................................. 92
Zoom In Command.................................................................................................................................... 92
Zoom Out Command ................................................................................................................................. 93
Format Chart Command ............................................................................................................................ 93
Equity Curve Selection Command (portfolios only) ................................................................................. 95
Getting Started Screen Command ............................................................................................................. 95
Toolbar Command ..................................................................................................................................... 95
Toolbar ...................................................................................................................................................... 95
Summary Pane Command ......................................................................................................................... 96
Status Bar Command ................................................................................................................................. 96
Status Bar .................................................................................................................................................. 96
Customize Command ................................................................................................................................ 96
Application Style Command ..................................................................................................................... 97
Trades Menu Commands ................................................................................................................................ 97
Data Source Command .............................................................................................................................. 97
Edit/Add Command ................................................................................................................................... 97
Import Menu Command ............................................................................................................................ 97
Export Command....................................................................................................................................... 98
Create Trades from Statistics Command ................................................................................................... 98
Specify Trade Risks Command ................................................................................................................. 98
Clear All Command ................................................................................................................................... 98
Reload From File Command ..................................................................................................................... 98
Analysis Menu Commands ............................................................................................................................. 99
Setup Command ........................................................................................................................................ 99
Position Sizing Command ......................................................................................................................... 99
Dependency Rules Command ................................................................................................................. 101
Monte Carlo Analysis Command ............................................................................................................ 101
Parameter Studies Command ................................................................................................................... 101
Optimize Position Sizing Command ....................................................................................................... 102
Trade Size Command .............................................................................................................................. 102
Portfolio Menu Commands .......................................................................................................................... 102
Setup Command ...................................................................................................................................... 102
Position Sizing Command ....................................................................................................................... 103

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Dependency Rules Command ................................................................................................................. 104
Monte Carlo Analysis Command ............................................................................................................ 105
Optimize Position Sizing Command ....................................................................................................... 105
Trade Size Command .............................................................................................................................. 105
Reload Command .................................................................................................................................... 105
Window Menu Commands ............................................................................................................................ 105
New Horizontal Tab Group Command .................................................................................................... 106
New Vertical Tab Group Command ........................................................................................................ 106
New Window Command ......................................................................................................................... 106
Split Command ........................................................................................................................................ 106
Window 1, 2, ... Command ...................................................................................................................... 106
Help Menu Commands ................................................................................................................................. 106
Help Topics Command ............................................................................................................................ 106
About MSA Command ............................................................................................................................ 106
FAQ (Frequently Asked Questions) List ....................................................................................................... 107
Appendix: Position Sizing Code for TradeStation and MultiCharts .......................................................... 111
Index ................................................................................................................................................................. 117

Chapter 1
Quick Start
The following steps outline the basic process of using Market System Analyzer (MSA) 3:
1.
2.
3.
4.
5.
6.
7.
8.

Compile the trade data for the market system(s) you wish to analyze into one ormore text files.
Select the file(s) of trade data compiled in step 1.
Enter basic settings, such as whether the input data represent stocks or futures,
starting account equity, margin, commissions, etc.
Choose a position sizing method.
Explore optional methods and analyses, such as dependency rules and equity curve
crossover rules.
Adjust the position sizing settings and rules to maximize trading performance.
Use the Trade Size command for real-time position sizing if desired.
Optionally create a portfolio by selecting two or more market-system files.

Step 1
MSA supports two basic text file formats: RINA xml files and text files in which the trades
are arranged one trade per line with separate fields on each line for the different elements ofeach trade. RINA xml files can be saved from the performance reports of various trading
programs, such as MultiCharts and TradeStation.
For all other text file formats, the trade data should be compiled into a spreadsheet or text filein column format with one trade per line. At a minimum, MSA requires the profit or loss
amount in dollars for each trade or, alternatively, the entry and exit prices. The order of thecolumns does not matter. The formatting details are specified at the time the data are firstread in via the Trades File Format window (see Step 2). A typical spreadsheet of trade data isshown below.

2

If all trades are the same size, the number of shares or contracts can be entered once on the
Analysis Setup window. Stock traders will want to include columns for the entry and exit
prices; entry prices are used to calculate margin requirements for stock trading. If the data areentered into a spreadsheet, the spreadsheet file should be saved as a .txt or .csv file. See
Chapter 3, Input Data, Getting Data into the Program, for more information on compilingdata for use in MSA.
If all trades have the same trade risk, defined as the amount you'd lose per share/contract if
the trade were a loss, you can specify the risk after importing the trade data by using theSpecify Trades Risk command of the Trades menu. Trades risks are only necessary whenusing one of the position sizing methods that requires them, such as fixed fractional.
Step 2The simplest way to get the trade data into MSA is to use the Open command of the Filemenu to select the file(s) of trade data. This will open and read each file of trade data andcreate one or more market-system (.msa) files, depending on whether you choose to combine
the different files of trade data into one .msa file or create a new .msa file for each file oftrade data. If you select multiple files of trade data, you can also have MSA automaticallycreate a portfolio file consisting of the separate .msa files associated with each file of trade
data.
Alternatively, you can select the New command from the File menu, followed by either the
Import command or the Data Source command of the Trades menu. Either command
allows you to select a file of trade data to read in. The Import command reads in the trade
data but stores it in a separate "trades file". In this case, you're prompted to enter the name of
the trades file later when first saving the .msa file. The name of the trades file is shown under
Data Source.
Note: Using the Open command to read in trade data and create a new .msa file also
automatically creates a new trades file with a default name derived from the name of the fileof trade data.
If you select the file of trade data using the Data Source command directly, the selected file
becomes the trades file, and the trades will be stored and read from this file whenever the.msa file is in use. The advantage of using the Data Source command over importing is that
if you update the data file with new trades, the market-system (.msa) file will be
automatically updated as well. If you have multiple market-system files using the same data
source (trades file), they will all be updated automatically if you change the trades file. Tradedata are not stored in the .msa file; they are stored in the trades file. The downside of
selecting the file of trade data via Data Source is that the file will be changed by MSA if you
edit the trade data within MSA. Using Import or the File Open command creates a new
trades file, which leaves the original file of trade data unaffected by any changes made in
MSA.
RINA xml files contain the formatting information that tells MSA which data item is whichpart of the trade; for example, which item is the entry price, and which item is the tradeprofit/loss. For all other text file formats, it's necessary to tell MSA what each column in thefile represents. This is done through the Trades File Format window, as shown below, which
is displayed after the file of trade data is selected. By clicking on each column heading, you
can identify the contents of each column.

3

Trades can also be entered manually using the Edit/Add command of the Trades menu.

This brings up the Edit/Add Trades window. Enter the data for each trade in the fields
provided under "Add Trade..." If entry and exit prices are entered, it is not necessary to also
enter the Profit/loss amount. Similarly, if the stop price is entered, it is not necessary to also
enter the Risk amount. If a stop was not used with the trade, leave the risk and stop pricefields blank. See Chapter 3, Input Data, Editing Input Data, for more information.
After the trade data have been entered into MSA, save the market-system (.msa) file using
the Save command of the File menu. Saving the market-system file will save the trade data
to the text file specified under Data Source (Trades menu) and save all program settings in
the .msa file. Double-clicking on an .msa file will start MSA and open the selected file.
Step 3
Select the Setup command from the Analysis menu. On the Input Data tab, use the dropdown list next to “Trading Vehicle” to select either Stocks or Futures.

4

If selecting Futures, also enter the Point Value. The point value is used to calculate theprofit/loss amount from entry and exit prices. For example, if an entry price for the E-mini
S&P is given as 1204.75, the point value would be $50. If the same price were entered as
120475, the point value would be $0.50.

5

If all trades entered in step 2 were the same size and the size was not specified in the input
data, the trade size can be entered in the field “Default Trade Size.”
On the Account Settings tab, enter the starting account equity and margin amount (if futures)or margin percentage (if stocks). If the trade data do not include commission and slippage
costs, enter those costs here. Click Ok to save the settings and exit.
See Chapter 4, Basic Settings, for more information on the Analysis Setup window.
Step 4
Bring up the Position Sizing window by selecting “Position Sizing…” from the Analysis
menu. Select one of the methods listed in the box on the left side of the window.

Most methods have either one or two adjustable parameters. Enter each parameter value inthe corresponding box. The Parameter Studies feature (see Chapter 7) is helpful in choosing
values for the position sizing parameters. See Chapter 5, Position Sizing, for more detailed
information.
Step 5
Explore other analysis features and options of MSA listed in the Analysis menu. For
example, selecting the Monte Carlo Analysis command performs a Monte Carlo analysis byrandomly sampling from the distribution of trades. Try one of the trading rules under“Dependency Rules…” Equity curve crossover rules can be applied using the Equity Curve
Crossovers tab of the Position Sizing window.
Step 6
Finding the best combination of settings for any given set of trades is largely a matter of trial
and error. Each setting is immediately reflected in the equity curve of the main chart and in
the right-hand pane, which displays summary statistics that correspond to the displayed
equity curve. For more detailed performance results, select Performance Statistics from theView menu (also see Chapter 12, Viewing the Results). The performance statistics combinedwith the shape of the equity curve can be used to determine if the chosen settings are
acceptable. One possible scenario is to use MSA to optimize the position sizing method
while limiting the analysis to a range of trades and saving the rest for out-of-sample testing.

6

You could then select other rules, such as dependency rules or equity crossover rules, andverify the analysis with out-of-sample testing and Monte Carlo analysis.
Step 7
Once a good combination of settings has been found, use the Trade Size command of theAnalysis menu to get the position size for any upcoming trades.

Enter the current value of your account equity (and optionally the trade risk and market
price) then press the "Calculate" button. The number of shares or contracts plus the required
margin will be displayed for the next trade based on all current settings in the software. For
stocks the required margin is the cost of the trade. For example, with no leverage (100%margin) and an entry price of $25, 200 shares of stock will cost $5000, which is the required
margin for the trade.
To keep the calculations up-to-date, make sure the trades file, as listed under Data Source, is
up-to-date. For example, you could enter each new trade into the program using theEdit/Add command (Trades menu) or use the included WriteTrades function for
TradeStation. The Trade Size command is described in more detail in Chapter 5, Position
Sizing, Real Time Position Sizing.
Step 8Once you've created more than one market-system (.msa) file, you can create a portfolio by
opening a new portfolio (.msaport) file and selecting any number of market-system files.
Create a new portfolio document by selecting New from the File menu and selecting New
Portfolio from the submenu. The available menus should change to include a Portfolio
menu. Select Setup from the Portfolio menu or from the right-click menu and click theMarket Systems tab. Use the Add Market System(s)... button to select any number of existing
market-system (.msa) files that you've already created. On the Settings tab, enter yourstarting account equity. Click Ok to save your changes and exit. The resulting equity curve
will display the combined result of all selected market systems, with the trades in order ofexit date and including any rules and settings from the individual market-system files.

7

A short-cut is available for creating a portfolio file from a set of files of trade data. Select theOpen command of the File menu and select multiple files of trade data together by holding
down the shift key or control key while selecting the files. A dialog box will give you theoption of combining the trades from all files into one .msa file or creating multiple .msa files
with an optional portfolio file comprising all the market-system files. The market-system fileor files and, optionally, the portfolio file will be created automatically.

8

Select Position Sizing from the Portfolio menu or from the right-click menu to bring up a listof each market system with its default position sizing settings. Double-click on any market
system to change the position sizing method and/or parameters. By default, the settings are
retrieved from the market-system file. To change a parameter value, change the Parameter
Source to User Selected on the Position Sizing window then enter the new value in the spaceprovided.
Equity curve crossover rules can be added to the portfolio from the Equity Curve Crossovers
tab of the Position Sizing window. These rules are in addition to any equity curve crossoverrules defined in the market-system file, which will still apply to the market system after it's
added to a portfolio unless specifically turned off. You can turn off the equity curve
crossover rules in the market-system files by checking the box labeled "Deactivate all
crossover rules ..." on the Equity Curve Crossovers tab of the Position Sizing window.
To add a dependency rule to the portfolio, select Dependency Rules from the Portfolio menu
or from the right-click menu. These rules are in addition to any dependency rules defined in
the market- system file, which will still apply to the market system after it's added to aportfolio unless specifically turned off. The dependency rules for the market system can beturned off by checking the box labeled "Deactivate all dependency rules ..." on the Portfolio
Dependency Rules window.
If you change any settings in an individual market-system file, save the .msa file, then selectReload from the portfolio menu to update the portfolio file.

To get help on any feature or command while using MSA, press F1 at any time. The Getting
Started help screen can be displayed at any time by selecting the Getting Started Screencommand from the View menu.

Chapter 2
Introduction
Overview
Market System Analyzer (MSA) will help you get the most out of your current approach to
trading the markets. MSA is designed to uncover profitable patterns, optimize trade
allocations, and avoid trades that have a low likelihood of success.
MSA analyzes "market systems.” A market system is defined as the combination of afinancial market and a trading system or method applied to that market; for example, amoving average crossover system applied to the Euro market. MSA analyzes market systems
in terms of the trades they generate. The program is designed to extract the maximum
amount of information from the minimum amount of input data. Moreover, all analysis
features in MSA are accessible from simple menu commands, making it easy to perform
powerful analyses without any complicated programming.
The analysis features available in MSA include: 15 position sizing methods and several options for applying position sizing.
 The ability to combine market systems into portfolios.
 A randomization feature that lets you visualize the effect of trade order on trading
performance.
 Monte Carlo analysis to quantify the effect of trade randomization on trading
performance.
 A unique parameter studies feature that lets you plot position sizing parameters against
any of eight performance measures.
 Position sizing optimization so you can maximize your trading performance using anyof the available position sizing methods.
 Dependency analysis to determine if your trading system or method has a statisticallysignificant tendency to form runs of wins or losses.
 Dependency rules to exploit any trade dependency that may exist.
 Significance testing to determine the likelihood that your trading system or method isinherently profitable.
 A unique equity curve crossover feature with rules for modifying your trading based oncrossovers of the equity curve with its moving average.
In addition, Market System Analyzer enables you to: Perform real time position sizing.
 Import trades from a text file.
 Synthetically generate a series of trades from summary performance statistics.
 Edit, add, or delete trades.
 Export, copy, or print trades or performance results.
 Perform the position sizing optimization on a sliding window of trades, with automatic
walk-forward testing.
 Perform the dependency analysis on a sliding window of trades to uncover short-term
dependencies.
 Restrict the analysis to a range of trades, saving the rest for out-of-sample testing.
 Work with your existing TradeStation systems.

10

Format the chart: change fonts, line and bar colors, grid, title, etc.

Market System Analyzer can be used for several different purposes:
 As an educational tool.
 To test and evaluate trading systems and methods.
 For day to day trading decisions -- to decide whether to take an upcoming trade and, if so,
how many shares or contracts to trade.
The software is designed for both individual and professional traders. The familiar Windowsinterface makes the program easy to use, and detailed help files are available if needed to
explain how to use each analysis feature. To get started, all you need is a list of profit/losses
for the trading system or method you want to analyze.

Installation
Minimum System Requirements:
333 MHz processor
64 MB RAM
50 MB hard disk space
Windows XP operating system
Recommended System Requirements:
1.2 GHz processor or faster
128 MB or more RAM
50 MB hard disk space
Windows Vista or newer operating system

If you obtained Market System Analyzer (MSA) by downloading it from the web site, thedownloaded file should be named MSASetup-vxxx-32bit.exe or MSASetup-vxxx-64bit.exe,
where xxx represents the version number of the release and the last part indicates whether it's
intended to run under 32-bit or 64-bit versions of Windows; e.g., MSASetup-v350-64bit.exe
for MSA version 3.5.0 for 64-bit Windows.
Note: Recent versions of Windows are almost all 64-bit, so, in most cases, the 64-bit versionof MSA should be installed. While the 32-bit version of MSA will run on both 32 and 64-bit
versions of Windows, the 64-bit version will be able to take advantage of all available
installed memory to process larger data files. If you're not sure which version of Windows you
have, you can check the System settings under the Control Panel. Both the 32 and 64-bit
versions are compiled from the same code and are functionally identical, including the files
they generate. Because they're the same program, only one may be installed on the same
computer. If your computer runs 64-bit Windows, it's strongly recommended that you installthe 64-bit version. For older computers running 32-bit Windows, install the 32-bit version of
MSA.
To install MSA, go to the Start menu in the Windows task bar and select Run... Browse to thelocation of the MSA3 file, click Open, then click OK in the Run window. The installation
should begin.
The installation program will prompt you for the location to install the program files. The
default location is the folder Program Files\Adaptrade Software\Market System Analyzer 3.x\.
You can install the program in another location if you wish. If you're installing in the same

11

folder, it’s recommended that you uninstall the previous version of MSA 3 before installingthe new one.
Once the installation is complete, you should find the MSA icon on your desktop and the
MSA program in the programs menu. You should also find a folder called MSA Examples in
the Market System Analyzer 3 folder. The Examples folder contains sample files of type .msa
and .msaport and sample text files containing trade data. The Market System Analyzer 3
folder also contains a web link to the user's guide in PDF format and the TradeStation
EasyLanguage file WriteTrades32.eld, along with its text file equivalent, WriteTrades32.txt.
The WriteTrades function (see Chapter 3) allows you to generate a text file of trade data froma TradeStation system for use in MSA.
The licensed (paid) version of MSA also includes the TradeStation file PSCalc32.eld, which
includes the PSCalc TradeStation function (see Appendix). PSCalc implements the position
sizing methods used in MSA. A sample trading system to illustrate the use of the function is
also included.
To uninstall MSA, open " Programs and Features" from the Windows Control Panel, selectthe entry for Market System Analyzer, and click the Uninstall button.

Market Systems and Portfolios
Critical to understanding MSA is the concept of a market system, defined as the combinationof a market and the trading system or method applied to that market. For example, a trading
range breakout system applied to T-bonds is a single market system. The same system applied
to crude oil, or a different system applied to T-bonds, would be a different market system.
A market system is fully represented by the series of trades that results from trading thesystem or method on the market. As long as the list of trades is available, the details of the
trading system logic and of the underlying market are unnecessary. This is the approach
adopted by MSA. The list of trades is the fundamental input data required by MSA to define amarket system.
In addition, market systems can be combined into portfolios. Provided two or more market
systems have been established in MSA, a portfolio can be defined as a combination of market
systems. The files for the market systems (.msa files) must be saved in order to create a
portfolio. Once the market-system files are available, a portfolio is created by selecting theexisting .msa files.
In a portfolio, MSA automatically combines the trades from the separate market systems as if
all selected market systems were being traded together in the same account. The programaccounts for overlapping trades in terms of costs and margin requirements and calculates theperformance of the overall portfolio. The settings made in the individual market-system files
are applied to the portfolio. Additional settings can be made for the portfolio overall, and theposition sizing for each market system in a portfolio can be set within the portfolio file.
Each market system and each portfolio is represented by a separate window in MSA. Bothtypes of windows can be open in MSA at the same time, where each window is identified by atab containing the name of the file.

Understanding the Document Windows
MSA can work with multiple document windows, as shown below. These windows represent
the documents opened via the File menu. MSA can work with documents for both market

12systems and portfolios. In either case, a document window is displayed within a tab. Eachdocument window contains the main chart, which displays the equity curve and the numberof shares/contracts for the current sequence of trades using the analysis settings and options
currently in effect. In addition to the equity curve, the main chart optionally displays amoving average of the equity curve and an “ideal equity curve.” The moving average can beused to modify position sizing (see Chapter 5, Position Sizing, Equity Curve Crossovers).
Below the equity curve is a bar chart for the number of shares/contracts for each trade. The
number of shares/contracts is determined by the position sizing method selected by the user.
To the right of the document windows is a summary pane, which contains a list of
performance statistics for the document currently selected. The performance statistics in thesummary pane correspond to the equity curve and are updated whenever the equity curvechanges based on the user’s selections. The performance results in the summary pane are an
abbreviated version of the full performance report, which can be opened by right-clicking inthe summary pane.

Almost everything that happens in MSA is reflected in the document windows. All changes
and settings made in the program are reflected in the equity curve, in the bar chart for thenumber of shares/contracts, and in the corresponding performance statistics in the summary
pane. The equity curve and the bar chart are a visual representation of the program’s data(the profit/loss sequence) and the analysis options and settings. These settings include theposition sizing method, which adjusts the number of shares/contracts for each trade, therange of trades to analyze, the order of the trades, trade dependency rules, and other analysis
options. The initial account equity and the slippage and commission costs are also reflectedin the charts.
A commonly used term in MSA is the "current sequence of trades." The current sequence oftrades is the set of trades currently under analysis and in the order displayed in the main
chart. The current sequence of trades may be a subset of the trades originally entered or

13

imported via the Trades menu and may be in a different order than the original trades. The
document window always displays the current sequence of trades. You can change the orderof the trades in the current sequence using the randomize button on the toolbar or choose torestrict the analysis to a range of the original sequence of trades. In either case, this willchange the "current sequence," although the original sequence, as initially entered orimported via the Trades menu, remains unchanged. To see the original sequence at any time,
use the Edit/Add command (Trades menu). The current sequence can be restored to theoriginal sequence at any time by restoring the original trade order and trade range via thetoolbar.
The document windows in MSA can be modified in a number of ways. The summary panecan be resized by clicking and dragging its left border. The two graphs (equity and trade size)
can be resized in the same manner by clicking and dragging in the horizontal area separating
the two graphs.
Above the main chart, a drop-down menu in the menu bar allows the plotting of the equity
curve to be switched between “Linear” and “Logarithmic.” Logarithmic plotting is usefulwhen position sizing is applied. An equity curve with equal rates of return from period toperiod will plot as a straight line on a logarithmic chart.
Another drop-down menu in the menu bar can be used to change the plotting from "Plot by
Trade" (the default),which plots equity versus trade number, to plotting versus date ("Plot byDay", "Plot by Week", "Plot by Month" or "Plot by Year"). Plotting by date plots the equity
at the end of the selected period (day, week, month, or year) by the period ending date.
Plotting by date is only available if dates are available for every trade in the trades file.
If a Monte Carlo analysis has been performed, the "Current Sequence" drop down menu canbe changed to "Monte Carlo", which plots four equity curves together: the equity curve forthe current sequence of trades, the equity curve representing the chosen confidence level forMonte Carlo analysis (e.g., 95%), the equity curve at the corresponding lower confidenceband (i.e., 100 - confidence level, such as 5% for a confidence level of 95%), and the equity
curve at 50% confidence. See the chapter Monte Carlo Analysis for more information.
The trade range option in the menu bar allows the analysis to be restricted to a range of
trades. After entering the first and last trades to include in the analysis, click the“Recalculate” button in the menu bar to update the analysis. The trade range can also bechanged using the calendar controls adjacent to the trade number edit boxes.
Lastly, clicking on the equity curve will display data for the selected trade in a box thattracks the cursor, as well as in the status bar at the bottom of the chart. Using the zoom
feature, any part of the chart can be magnified and later restored to normal magnification.

Program Conventions
MSA contains a number of features that are common throughout the program. Many of theseconventions may be familiar from other Windows programs you already use. Learning these
program conventions will make using MSA more convenient and efficient.
One such convention is context menus. In most windows in MSA, including document
windows and the performance reports, you can right-click anywhere in the window to bringup a context menu with common program commands. Right-clicking in the document
window over the charts brings up the largest context menu, which contains commands for
setup, position sizing, dependency rules, chart formatting, and other common commands. It’s

14

often more convenient to right-click than navigate to the menus in the menu bar. This rightclick menu can be customized using the Customize command (View menu), Menu tab.
Another short-cut in MSA is provided by double-clicking in the document window. Doubleclicking over the chart brings up the Format Chart window.
MSA 3also includes the common convention of copying to the clipboard. Any window that
contains a context menu can be copied to the clipboard. For example, the main chart can becopied using the copy button in the toolbar, by right-clicking and selecting Copy, or by using
the Ctrl-C keyboard shortcut. This copies the entire chart image to the clipboard as a bitmap.
The right-hand performance summary pane can be copied by right-clicking in the pane or byclicking in the pane to set the focus then using the Ctrl-C shortcut. In this case, the copy
command copies the text from the pane to the clipboard. The text is copied in tab-delimited
format so that it can be pasted into a spreadsheet correctly. Similarly, the different
performance reports can be copied to the clipboard as tab-delimited text.
Another convention in MSA is that the different performance reports in MSA all contain thesame menus, which include commands for copying, as described above, printing, and saving(exporting) to a text file. For exporting, the available formats are tab-delimited text (.txt
files), comma-delimited text (.csv), unformatted Word documents (.doc), and web files(.htm).
Similar to other Windows programs, the menus available in the menu bar of the main
window of MSA change depending on the type of document currently open and selected. In
particular, you’ll notice that when a market-system (.msa) document is open and active, anAnalysis menu is present. If you then open a portfolio (.msaport, or .msp) document, theAnalysis menu will no longer be accessible, but a Portfolio menu will be present. The
available menus and associated commands are appropriate to the type of document that’s
currently active. To see the Analysis menu again, you would simply have to click on the tab
for a market-system document to make it the active window.
Lastly, MSA uses the Windows help system convention. This means that you can bring up a
help topic for a command or open window by pressing the F1 key. If a help topic is available
for that command or window, the help system will be opened with the corresponding topic
displayed.

Data Requirements
MSA is designed to extract the maximum amount of information from the minimum amountof data. Because a market system can be defined by its trades, the only data required by the
program is a list of profit/losses for the trading system or method you want to analyze.
Optionally, to apply fixed fractional position sizing, or a variant of fixed fractional called the
profit risk method, you will also need the risk of each trade. The risk is defined as the dollar
amount that the trade would lose per contract (share) if it were a loss. Commonly, the traderisk is taken as the size of the money management stop applied, if any, to each trade. If yourtrading doesn’t use protective (money management) stops, the risk can be taken as the largest
historical loss. Trade risks are only used with these two position sizing methods and in thecalculation of R-multiples.
You may also specify trades in terms of the entry and exit prices, along with the trade
direction – long or short, instead of the profit/loss itself. For example, if a stock was bought
at a price of 52 and sold at a price of 54, the profit/loss would be $2 per share. If you traded
100 shares, the total profit/loss would be $200. You can either enter $200 as the profit/loss,

15

with a trade size of 100 shares, or enter the entry and exit prices of 52 and 54. Optionally, thestop price can be entered in place of the risk. If, for example, a sell stop was placed at a priceof 49, the trade risk would be 52 - 49 or $3 per share. Alternatively, the stop price of 49
could be entered.
Each trade can optionally include the date and time for the entry and exit. For the purpose of
constructing the equity curve, the exit date/time is used; i.e., the equity is accumulated when
the trade is closed out. Entry dates/times are used primarily to determine the cost and margin
requirements of open positions.
The Trade menu provides the commands needed to work with trade data in MSA. There areseveral methods of entering the trade data into the program. Trade data can be read from anexisting text file specified via the Data Source command, imported through the Importcommand, or selected via the File Open command. Data can be entered manually throughthe Edit/Add command, or a synthetic series of trades can be created based on specified
statistical properties of the trades (see Chapter 3, Input Data, Creating Trades from
Statistics). This method randomly generates a series of trades based on the average profit,
average loss, maximum profit, maximum loss, and percentage of winners. See Chapter 3,
Input Data, Getting Data into the Program.
If the trade risk value is the same for all trades, the Specify Trade Risks command of theTrades menu can be used to set the trade risk for all trades to one of the following values: thelargest loss, maximum loss, average loss plus N standard deviations, or a user entered value.
Trade data are only entered for market-system documents, not portfolio documents. If a
portfolio document is active, the Trades menu will not be available. To work with the trade
data in a portfolio, open the market system containing the data and work with the data in themarket-system document.
When a market-system document is saved as a .msa file, the trade data are saved in a
separate trades file, which is listed under the Data Source command. With regards to tradedata, the .msa file only saves the name of the trades file. Using the Save command saves boththe .msa file and the trades file.

ExamplesTo demonstrate how to get started with Market System Analyzer (MSA), there are several
sample data files provided with the installation. These files can be found in the MSA
Examples folder of the installation folder, which is typically Program Files\Adaptrade
Software\Market System Analyze 3\. The files include market-system files (extension .msa),
a portfolio file (.msaport), and the trades files (.csv) read by the market-system files.
To open the samples, use the Open command of the File menu, navigate to the Examples
folder, select all available .msa files, and click the Open button. Open the portfolio file using
the same command by selecting the .msaport file.
The file Example1.msa is a stock trading example. Click the document’s tab to make it theactive document, as shown below.

16

Go to the View menu and select Equity Table. With the Equity Table still open, try clicking
the Randomize button in the toolbar. Randomizing a sequence of trades can be an effective
way to learn how the order of the trades affects trading performance. Also, by randomizing
the sequence, we can determine if our performance expectations depend on a particularordering of the trades that may never reoccur. When you randomize the trade order, the chart
should redraw with the trades in a different order, and the results to the right of the chart
should show the corresponding performance for the new sequence of trades. Also, you
should see the order of the trades in the Equity Table change to match the order in the chart.
Now restore the trades to the original order by clicking the Restore button in the toolbar.
Now go to the Analysis menu and select the Setup command. On the Account Settings tab,enter a value of $5,000 for the starting account size and click OK. The chart will update toreflect the new account size. Now choose Position Sizing from the Analysis menu and select"Fixed Amount of Equity" from the Position Sizing Method tab. Enter an equity amount of$20,000 per unit. Where it says “When plotting, use parameter values from…”, make surethe first option in the drop-down list (“User entries”) is selected. Click OK. The chart should
redraw with the new position sizing method, which should be indicated in the summary pane
to the right of the chart. Now go back to the Position Sizing window and return the position
sizing to “Fixed risk (aka fixed fractional).”Try running a Monte Carlo analysis by pressing F4 (function key) or selecting the Monte
Carlo Analysis command from the Analysis menu. This will bring up a window displaying
the Monte Carlo analysis results. Now press F1 or click on the Help command on the results
window. This should bring up a help window with information on the results window. In
general, pressing F1 brings up a help topic for the command currently selected or the window
currently displayed.

17

To see how the Parameter Studies command works, press F5 or select the Parameter
Studies command from the Analysis menu. On the y axis pull-down menu, select “Max %DD.” On the x axis, select Fixed Fraction. Enter 10 in the box labeled "Max X Value" andclick on the PLOT CURVE button. The plot should appear as shown above, where thedrawdown increases with increasing values of the fixed fraction. Try changing the y axis
parameter and plotting the curve again. Now try selecting "Monte Carlo Analysis" in the box
below the chart labeled "Calculate Y values using." The plot should take much longer to plot
because each point requires a Monte Carlo analysis.

18

Close the Parameter Studies window and select the Optimize Position Sizing commandfrom the Analysis menu (F7). The Optimize Position Sizing window will appear, as shown
above. Select Net Profit as the performance measure to maximize, check the "Limit max
percent drawdown..." box, and enter a maximum drawdown value of 20%. Optimize over all
trades in the current sequence and optimize using the current sequence of trades (as opposed
to Monte Carlo analysis). Now click the calculate button. The optimal results will appear in
the bottom part of the window. You should find that the optimal value of the fixed fraction is3.12%. The worst-case drawdown at this value is 19.8%, matching our drawdown limit of20%.
Close the Optimization Results window and right-click in the summary pane or selectPerformance Results from the View menu. This will open the performance results window.
Try the different tabs. The Settings tab displays the program settings under which the results
were calculated. The Summary tab displays the results in summary form, including separate
columns for long and short trades, if applicable. The Return Tables tab presents the results
for annual, monthly, weekly, and daily periods. There are also tabs for the dependency andsignificance test results. The settings for the significance test are made on the Options tab of
the Analysis Setup window (Analysis menu). Lastly, try different dependency rules using the
Dependency Rules command and see how they affect the performance results.
Let’s move to the portfolio example. Click on the tab for the document
PorfolioExample.msaport. Now right-click on the chart and select Setup from the context
menu. The Market Systems tab displays the market-system files that compose the portfolio.
You should see three market-system files. If you double-click on a file in this list, themarket-system file will open in its own window. You can also use this window to add
additional market systems or remove existing market systems from the list.
Now select the Settings tab of the Portfolio Setup window. This is where you enter thestarting account size for the portfolio, as well as basic settings for the portfolio Monte Carloanalysis, dependency analysis, and significance test.
The position sizing for the portfolio is set for each market system individually. When aportfolio is initially constructed, the position sizing method and parameter values for eachmarket system are retrieved from the market-system file. To set the position sizing todifferent values, select the Position Sizing command of the Portfolio menu. This opens thePortfolio Position Sizing window, as shown below.
To change the position sizing settings for any market system, either double-click on themarket system in the list or select from the list and click the Edit Selection button. To set theposition sizing for all market systems to the same method and/or parameter values, click the
Set All button.
The Portfolio menu is similar to the Analysis menu for market-system documents. Most of
the analysis functions available for portfolios are listed in the Portfolio menu, including
dependency rules, Monte Carlo analysis, and optimizing position sizing. These commands
are also available in the context menu by right-clicking in the chart area.

19

The best way to learn MSA is to try things. Select a list of trades from your favorite systemor trading method using Data Source, and try the various analyses. If you have questions
along the way, try pressing F1 to bring up the associated help topic at any time. Also try the
FAQ (Frequently Asked Questions) list of the help system or search for a help subject
using the help index.

Chapter 3
Input Data
Getting Data into the Program
All analyses in Market System Analyzer (MSA) are performed on data representing the trade
history of a trading system or discretionary trading method. One way to supply the required
data to MSA is to specify a text file of trade data via the Data Source command of theTrades menu. This defines the so-called "trades file," which is where the trade data will beread from or written to when opening or saving, respectively, the market-system (.msa) file.
Alternatively, the data may be imported from a text file or entered manually via the editor;
see Editing Input Data below. When importing or manually entering trades, a separate trades
file is used to store the trade data.
To save time when a creating a new market-system (.msa) file, the file can be created at thesame time the data are specified by using the Open command of the File menu. In this case,just use the Open command to select the file of trade data. The new .msa file will be createdautomatically after the data are read in, and a new trades file will be created with a default
name derived from the name of the selected file of trade data.
Note: MSA stores all trade data in the trades file, rather than in the market-system (.msa)
file. This makes it possible to update or alter the trade data outside of MSA. Also, only when
the file of trade data is selected using the Data Source command is the trades file the sameas the original source of trade data. In all other cases, the trades file is a separate file. The
advantage of using Data Source to select the original file of trade data to be the trades file isthat if you update the original data file with new trades, the market-system (.msa) file will be
automatically updated as well. If you have multiple market-system files using the same data
source (trades file), they will all be updated automatically if you change the trades file. The
drawback of selecting the original file of trade data to be the trades file is that the original file
will be changed by MSA if you edit the trade data within MSA. Using Import or the File
Open command creates a separate trades file, which leaves the original file of trade data
unaffected by any changes made in MSA.
MSA can read trade data presented in two different file formats. The first one is RINA xml
format. This type of file is used by several trading platforms, including TradeStation andMultiCharts, to save strategy details, price data, and trading results. Among other data, thisformat specifies the trade entry and exit dates/times and prices, as well as the profit/loss
amount, trade size, and trade direction (long or short). If a RINA xml file is supplied, nofurther formatting or specification is required (i.e., the Trades File Format window, as
described below, is not used).
The other formatting option is a text file with one trade per line or one trade every other line.
Each column in the file will contain a different data field, such as the profit/loss, entry price,
exit price, trade size, etc. The simplest such file would contain a single column of the profit
or loss for each trade. A typical text file of profit/loss data for MSA is shown below.

21

300.00-250.00
500.00175.00-425.00-300.00
350.00...
...
For example, the first trade was a profit of $300.00, and the second trade was a loss of $250.00. The third trade was a profit of $500.00, and so on. A more complete file might look
like the spreadsheet shown below. Each line contains the data for one trade: entry date/time,entry price, exit date/time, exit price, stop price, trade direction, profit/loss, trade risk, andposition size.

MSA can read the data fields listed in the table below.

Data Field

Description

Examples/Acceptable
Formats*

Profit/Loss

Trade profit or loss indollars

Profit: 400.25, $1,025.64
Loss: -325, (325)

Risk

Trade risk in dollars

Same as Profit/Loss

Trade Size

Number of shares orcontracts
corresponding to
profit/loss and risk

2 1000 25,028
Sign (+/-) indicateslong/short if no trade
direction column.

Entry Price

Price at which trade
was entered

1204.25 54.37 1,189.75

Exit Price

Price at which tradeexitedSame as Entry Price

22

Stop Price

Price at which money
management stop wasplacedSame as Entry Price

Entry Date

Date/time at which
trade was entered

3/29/2007
12/10/2005 11:00 AM(Standard Windows dateformats, interpreted by
locale setting.)

Exit Date

Date/time at which
trade exited

Same as Entry Date

Trade
Direction

Whether trade waslong or shortLong trades: long,EnterLong, Long, LNG,
L, Buy, C (for “compra”),
1
Short trades: short,EnterShort, Short, SHT ,S, Sell, V (for “venta”), -1

SymbolString representing
marketES, MSFT, GPB, Index1

ATR

Average true range

Same units as price.

Currency
Conversion

Factor multiplied byprices and ATR

Numeric. Defaults to 1.0
if not specified.

Trade Type

Indicates regulartrade, cost/fee, oraddition/withdrawal

R or 0 for regular trade; C,F, or 1 for cost/fee;
A or 2 for add/withdraw
amount; P or 3 for
add/withdraw percentageof equity.

Entry TimeTime at which trade
was entered (if notalready defined aspart of Entry Date).

13:15, 8:30 AM,
Standard Windows time
formats, interpreted by
locale setting.

Exit TimeTime at which tradeexited (if not alreadydefined as part of
Exit Date).

Same as Entry Time.

*Interpreted based on selected locales.

It’s not necessary to enter data for all fields. For example, if the entry price, exit price, andtrade direction (long or short) are entered, MSA will calculate the profit/loss amount, so it’s
not necessary to enter the profit/loss amount as a separate item in this case.
Trade Risk
Trade risks work the same way. The risk is defined as the dollar amount the trade would lose
if it were a loss. Commonly, the trade risk is taken as the size of the money management stop
applied, if any, to each trade. For example, a stop size of 10 points in the E-mini S&P would
be a risk of $500 per contract. If the entry price, stop price, and trade direction are entered,23

it’s not necessary to enter the risk amount in dollars. MSA will calculate the trade risk fromthe entry and stop prices in this case. If a profit/loss or risk value is entered, the amountshould be for the same number of shares or contracts listed in the Trade Size column.
If you don’t use protective (money management) stops, the risk can be taken as the largest
historical loss. Trade risks are only used with two position sizing methods (fixed fractional
and profit risk) and for calculating R-multiples.
Trade Size
The trade size field is also not required in every case. If all the trades are for the same
number of shares or contracts, the size can be entered separately on the Analysis Setup
window on the Input Data tab under Default Trade Size. The trade size field is also not
required if the trade data are entered in terms of prices. However, if you’re entering historical
trade data and you want to be able to plot the trades using the actual, historical position sizes,
it will be necessary to include a column for the trade size.
Entry and Exit Dates
When entering entry and exit dates, MSA requires an exit date for each and every trade inorder to use the date data. Entry dates are not required but will be used to determine if two or
more trades occur simultaneously. If you enter exit dates without entry dates, MSA willautomatically set the entry dates to the exit dates for computational purposes.
ATR
The average true range field is provided for use with the percent volatility position sizing
method. If you don’t plan to use this method, it’s not necessary to provide ATR values. If
you do provide values for this field, the ATR value should be calculated on the bar prior totrade entry to avoid the benefit of hindsight. The ATR values should be provided in priceunits; i.e., the same units as the entry and exit price. The point value provided on the Setup
screen will be used to convert price units to currency amounts (e.g., dollars).
Currency Conversion
This field is used to convert the price data to a different currency. The field value ismultiplied by the entry price, exit price, stop price, and ATR values. It defaults to a value of
1.0 if not provided. It is not multiplied by the P/L and risk amounts, which are assumed to beprovided in the same currency units as the account.
The currency conversion field can be used to provide a pip value for forex trades. Dependingon the currency, the pip value may change from trade to trade. If currency prices are used as
input data, the currency conversion field will act as the pip value when the trading vehicle isset to “Stocks”.
Trade TypeThe trade type field will normally be set to “regular” (or a value of 0) to indicate a trade. If
this field is not provided, trades are assumed be “regular” trades. If this field is set to “Cost”
or “Fee” (“C” or “F”) or to a value of 1, the profit/loss amount will be assumed to represent a
cost or fee amount. Costs and fees include such items as commissions, trading fees, andmiscellaneous adjustments to account equity. A cost or fee amount is deducted from theaccount equity at the date/time specified by the trade exit date/time. Costs/fees are notsubject to position sizing.
If this field is set to “Addition” or “A” or the value 2, the profit/loss amount will beinterpreted as an addition to or withdrawal from equity. Additions are positive P/L values;
withdrawals are negative P/L values. An addition/withdrawal amount is treated differently
than a cost/fee amount. The returns and drawdowns are adjusted so that an24

addition/withdrawal does not directly alter the performance. For example, if you have a 50%
return at the end of the year, and withdraw half of your profits for the year on December 31 st,
the rate of return should still show a 50% return, despite the lower equity after thewithdrawal. If the withdrawal were entered as a cost/fee, the return would be displayed as25%, rather than 50% in this example.
It’s also possible to enter an addition or withdrawal as a percentage of account equity. To dothis, the trade type is set to “Percent” or “P” or the value 3. In this case, the P/L value isinterpreted as the percentage of current account equity to add (positive P/L) or withdraw(negative P/L). For example, if the P/L value is -5.0 for this trade type, 5% of equity would
be withdrawn at the date specified by the trade exit date.
A schedule of account withdrawals can be entered on the Setup window, Account Settingstab, to withdraw a set amount or percentage of equity at regular intervals (every week,
month, quarter, or year). Withdrawals are discussed in more detail in the next chapter.
Entry and Exit Times
Normally, the trade entry and exit times are part of the date/time fields for entry and exit
dates. In some cases, as with trade data saved from MultiCharts, the date and time areprovided as separate fields. Use these fields if the time must be a separate field. If the dates
and times are combined into date/time fields, use the Entry Date and Exit Date fields instead.
Getting Data From TradeStation or MultiCharts
If you use TradeStation or MultiCharts to run your trading system(s), there are several
options for generating the text file of trade data. One method is to use the EasyLanguage
function WriteTrades, which can be found in the installation directory of Market System
Analyzer. WriteTrades collects the data for each trade as the system executes and writes thedata out to a user-specified text file. The WriteTrades function is described in more detail in
the next section. Another method is to save the performance report as an Excel (.xls) file,
open the Excel file, and save the Trades List sheet as a text (.csv or .txt) file. MSA candirectly import WriteTrades files and text-formatted Trades List sheets. Lastly, you can savethe results as a RINA xml file.
Getting Data From Other Sources
Many traders record their trade results in a spreadsheet. Provided the spreadsheet contains
the required data, as explained above, it’s only necessary to save the spreadsheet as a text file(either .csv or .txt format). The columns of pertinent trade data can be arranged in any orderin the spreadsheet/text file. As shown below, the Trades File Format window allows you to
identify the contents of each column you want MSA to read. Unlabeled columns are ignored.
If your trading software supports the RINA xml format for trade results, you can save orexport your results in that format. MSA directly reads RINA xml files without the need for
additional formatting specifications.
Reading the Trade Data into MSA
Once the trade data have been compiled in a text file, the data can be read into MSA using
the Data Source command of the Trades menu, the Import command of the Trades menu,
or through the Open command of the File menu.
To create a new MSA file based on the file of trade data, the easiest method is to select Openfrom the File menu. If you select multiple files of trade data at the same time, this will bringup the File Creation Options dialog, as shown below.

25This dialog gives you the option to create one market-system (.msa) file for each file of trade
data or to combine the files into a single .msa file. If you select the option to create multiple.msa files, you can optionally choose to also combine the separate .msa files into a portfolio.
For each newly created .msa file, a trades file will be created based on the name of the file oftrade data. As with all trades files, you can view the name of the file and/or select a new one
using the Data Source command.
If you choose to select the file of trade data using Data Source directly, the Data Source
window is opened, as shown below.

After selecting the text file of trades, click the Save button to read the data. If the selected fileis not a RINA xml file, MSA will open the Trades File Format window, shown below, toallow you to specify the format of the selected file. The Trades File Format window is also
displayed when importing a text file of trades. There are several options available in checkboxes below the data display that control how the data are interpreted. In the section labeled“Delimiters,” check the box or boxes that describe how the columns of data in the text file
are separated. Columns can be separated by commas, spaces, tabs, and/or semi-colons.
Note: If a RINA xml file is selected as the trades file (i.e., selected via Data Source), MSA
will prompt you for a different trades file when saving the .msa file if the trades have been
modified or edited. This is because MSA does not write to RINA xml files; it only reads
from them.

26

To skip over one or more lines at the top of the text file, such as a line of column headings,
check the box labeled “Skip first [ ] lines.” Click the arrows to select the number of lines toskip. If the data for each trade occupy two lines, check the next box, “Merge lines two at atime.” This will combine each pair of lines into one long line. For example, the trades list
from a TradeStation performance report uses two lines per trade, so this option is required toproperly interpret files of that format. The final option, “Profit/loss and risk data areexpressed as percent of equity,” accommodates the case where instead of dollar amounts forthe profit/loss and trade risk, percentages are used. If this box is checked, the profit/loss andrisk values are interpreted as percentages of the initial account equity.
The "Preset format" pull-down menu at the top left of the Trades File Format window allows
you to set the column headings to match a TradeStation Trades list, a WriteTrades3 file, or a
general text file. To clear the column headings, select "None/Clear Format." Regardless ofwhich preset format you select, you can change the heading of each column of data ifnecessary by clicking on each column heading, which opens the pop-up window “Select datalabel:” shown above.
For example, if the third column is the entry price, you would click on the heading forcolumn three, and double-click on “Entry Price” from the pop-up window. This identifies thethird column as containing the entry prices. Any column you don’t want to import should beleft blank, which you do by selecting the label "No label/Skip." Once all the pertinentcolumns of data have been identified, click the Ok button, then click Ok on the Data Source:
Setup Trades File window. The data will be read in and plotted in the chart window.
Once data have been read in from a text file, select Save from the File menu to save thecurrent .msa file. The name of the trades file you selected in Data Source will be stored in
the .msa file, but the trades themselves are stored in the trades file. If you have not yet
selected the trades file, you will be prompted to select one or to enter a name for a new one.
If the market-system file has not been previously saved, you will be prompted to enter aname for the file. The name of the file will be shown in the title bar of the main window.

27

After entering trade data for a new market system, go to the Analysis Setup window(Analysis Setup command) to enter the corresponding settings, such as whether the data
represent stocks or futures, the starting account size, margin, etc. See Chapter 14, Menu
Commands, Analysis Menu Commands, Setup Command.

WriteTrades EasyLanguage Function
The WriteTrades function is an EasyLanguage user function -- designed to work with
TradeStation and MultiCharts -- that generates a text file of trade data in a format that can beused directly in Market System Analyzer (MSA). If you use TradeStation or MultiCharts totrade your system, you can use the WriteTrades function to create a list of trades produced by
the system, provided you have access to the EasyLanguage code for the system.
The WriteTrades function can be found in the installation directory for MSA, typically
Program Files\Adaptrade Software\Market System Analyzer 3\. The exact name of thefunction and file depends on the version of MSA. As of this writing, the most recent version
is WriteTrades32 (for MSA version 3.2.0), and the file name is WriteTrades32.eld. To install
the function, either double-click on the file or open TradeStation and use the Import/Export
EasyLanguage command from the File menu. In MultiCharts, open the PowerLanguage
editor and select the Import command from the File menu.
To use the WriteTrades function, all you need to do is insert the following line at the end ofyour system:
Value99 = WriteTrades32(TradeRisk, StopL, StopS, NATR, CurrConv, "filename");where TradeRisk is the risk of the trade in currency units (e.g., dollars), StopL is the stop
price for a long trade, StopS is the stop price for a short trade, NATR is the period (numberof bars) for calculating the average true range (ATR), CurrConv is the currency conversion
factor, and “filename” is the name of the file to write the data to, including the full path
name. For example, suppose you use a 12 point stop in the E-mini S&P, which is equivalent
to a risk of $600 per contract. Let’s also say that the stop is relative to the entry, which is at
the close of the most recent bar. Assuming you want to write the data to the file
c:\tradedata.txt, you would write
Value99 = WriteTrades32(600, C – 12, C + 12, 10, 1, "c:\tradedata.txt");
Here, a length of 10 bars has been entered for NATR, although the ATR will only be used if
percent volatility position sizing is chosen. Since there is no need for currency conversion, avalue of 1 has been entered for CurrConv.
As explained in the previous section, it’s not necessary to have both the dollar value of risk
and the stop prices, so this could also be written as
Value99 = WriteTrades32(0, C – 12, C + 12, 10, 1, "c:\tradedata.txt");
If you don't use a stop or don't want to use fixed fractional or profit risk position sizing,
which are the only position sizing methods in MSA that requires the trade risk, specify "0"for the first three inputs:
Value99 = WriteTrades32(0, 0, 0, 10, 1, "c:\tradedata.txt");

28

When selecting a text file created from WriteTrades using the Data Source command, selectthe pre-set column format “WriteTrades3 function” on the Trades File Format window. This
will pre-select the column headings correctly to match the data generated by the function.
The return value variable, Value99, can actually be any variable you choose. EasyLanguage
provides pre-declared numeric variables Value1 - Value99. Most EasyLanguage code uses
the lower-numbered variables, if any, so using Value99 should avoid conflicts in most cases.
To make sure the function works properly, please note the following:
1. The WriteTrades function should be called as the last line of your trading system,
outside of all loops and other program statements.
2. If entering a value for the trade risk (first function parameter), the risk value should be
for the same number of shares or contracts as the corresponding trade profit/loss. For
example, if the 20th trade was for 300 shares, then when WriteTrades is called for the
20th trade, the first input to the function should be the dollar value of the risk for 300
shares. In many cases, it will be easier to enter the stop price (2 nd and 3rd parameters)
than the stop amount.
The EasyLanguage code for the WriteTrades function contains a comment block at the top of
the code with further details about the function inputs and usage. The code can be viewed in
the EasyLanguage editor in either TradeStation or MultiCharts.

Creating Trades from Statistics
Market System Analyzer (MSA) includes a statistical trade generator, which can be used toapproximate or recreate a series of trades to match a given trading system or method. To
create a series of trade profit/losses based on the statistical properties of your trading systemor method, select the Create Trades from Statistics command from the Trades menu. Thiscan be used as an alternative method to quickly enter a trade history for an existing trading
system or discretionary trading method. For example, suppose you have a history of 30
trades. Rather than importing the trades or entering them manually, you could enter the fivesummary statistics described below to recreate the series. The advantages of this approachare (1) you can create a series of trades that’s as long as you want, and (2) the synthesized
series will contain random characteristics that may increase the reliability of the analysis
results.
The Create Trades from Statistics command brings up the Create Trades from Statistics
window, as shown below. Fill in all the fields and indicate using the drop-down list whether
the created trades should replace the existing trades or add to the existing list of trades. If you
decide to replace the existing trades and you don’t want to lose them, make sure to save theopen file before clicking the Create Trades button.
You can create as many trades as you want, up to available memory limits. For the largest
losing and average losing trade statistics, you can use either a positive or negative number
with the same result. The program uses a proprietary algorithm to randomly generate theseries of trades so that it approximates the specified statistical properties. The more tradesthat are generated, the closer the statistics of the generated series will match the input
statistics. A sample size of at least 100 trades is recommended to generate a representative
series.
For the trade statistics (largest winning, average winning, largest losing, and average losing
trade), enter the dollar amounts corresponding to the trade size entered in the box next to“Trade amounts are for.” For example, if you entered 100 shares in the “Trade amounts …”box, the trade amounts should be for 100 shares.

29

After using this feature to generate a series of trades, you can check how closely thestatistical properties of the generated series match the input statistics by selecting the
Performance Results command from the View menu. If the statistics are not sufficiently
close to the statistics you entered, try repeating the process. Because of the random nature of
the process, a second series of trades based on the same inputs will often have slightly
different results, which may match the inputs more closely.
After generating the trades, dates can be attached to the trades using the trade editor(Edit/Add, Trades menu) via the Set Date Range button.

Specifying a Risk Value for All Trades
Market System Analyzer (MSA) allows you to specify a risk value to be assigned to all
trades. If all your trades have the same risk, it's often easier to specify this value once for all
trades rather than including a separate column for trade risk in the text file to import. The
Specify Trade Risks command of the Trades menu allows you to do this.

The Specify Trade Risks command brings up the Trade Risks window, as shown above.
This window offers several options for specifying a risk value to be assigned to existing
trades. The options are as follows:

30

1.
2.
3.

4.

The largest historical loss. This is the largest loss among the trades currently loaded into
MSA. This option is often used with fixed fractional trading.
The average loss. This is the simple numerical average of all losing trades.
The average loss minus X standard deviations. This subtracts a user specified multiple ofthe standard deviation of the losing trades from the average losing trade. Enter a value
for X, the number of standard deviations, then click the Calculate button to compute therisk value.
A user-specified risk value. This value can be entered as either a positive or negative
number (it has the same effect either way). A typical value would be the size in dollarsof the money management stop used for trading.

For the Trade Risk window, the loss and risk amounts are always on a per-share or percontract basis. For example, if the largest loss in the trade history is -$500, and this trade
took place with 100 shares, then the largest historical loss shown in the Trade Risks window
would be $5.00 (-$500/100 shares is a loss of $5 per share). This also applies to userspecified risk values (i.e., the option “Use the following value:”). When using this option, therisk value should be entered on a per-share basis for stocks or a per-contract basis for futures.
After specifying the risk value, choose whether to replace all current risk values or assign thespecified risk value only where risks are currently undefined. The latter option is useful if
you have already manually entered risk values for some trades and want to fill in theremaining risks with the value specified here.
The fixed fractional (fixed risk) and profit risk position sizing methods are the only position
sizing methods of MSA that requires risk values. The calculation of R-multiples also requires
risk values.
Note that this command directly modifies the input data. The specified risk values are stored
in the trades file.

Editing Input Data
The Edit/Add command of Market System Analyzer (MSA) allows you to manually enter
new trade data into MSA or edit trades that have already been entered. Selecting the Edit/Add
command from the Trades menu brings up the Edit/Add Trades window, as shown below.
The top part of the window lists the trades currently in the program. To edit a trade, select itfrom the list then click the Edit Trade button or simply double-click on the trade you want toedit. This will bring up the edit window (Edit/Add Trade), shown below. Make your changes
and optionally use the Next or Previous buttons to navigate to other trades in the list. Click the"Save and Close" button when done editing. The list of trades in the Edit/Add Trades window
will be updated with the edited trades.
To add a trade, use the Add Trade button beneath the trades list or the Add New button on the
Edit/Add Trade window. As explained in the section “Getting Data into the Program” earlier
in this chapter, not all data fields are required. For example, if the entry price, exit price, stop
price, and trade direction are entered, the profit/loss and risk amounts are not necessary. The
trade will be added above the highlighted trade or above the last trade selected from the list. If
there is no current selection, the trade will be added to the bottom of the list.

31

When entering a new trade, the trade type (“Type of Trade”) defaults to “Regular trade”. As
explained above under the description of the Trade Type input data field, trades can also beentered to represent cost/fees or additions/withdrawals. To enter either of these trade types,
select the corresponding option under Type of Trade and enter the amount in the Profit/Lossfield.
If you want to add a trade to the bottom of the list, scroll to the bottom and click in the blankspace below the last trade. This will deselect any trade that may be selected. Clicking Add
Trade will then add the new trade to the bottom of the list. The trade being edited or added isindicated by the Trade Number displayed on the Edit/Add Trade window. The Copy Tradebutton initializes the Edit/Add Trade window with the trade data from the selected trade andadds it to the bottom of the trade list when you click Finish. You can delete one or more tradesby selecting them from the list then clicking the Delete Trade button below the list. Multiple
trades can be selected using the Shift and Control keys.
To export the trade data to a text file, use the Save to File command on the File menu locatedon the Edit/Add Trades window (not the File menu on the main frame window of MSA).
Enter or select a file name to export to then click Save. The file can be saved to any of thefollowing formats: tab-delimited text (.txt), comma-delimited text (.csv), unformatted Word(.doc), or html (.htm).

Chapter 4
Basic Settings
Overview
Once the trade data are entered into Market System Analyzer (MSA), there are a number ofsettings that should be made to properly set up the market-system document. These basic
settings include specifying the trade vehicle (stocks or futures), the starting account equity,
margin, point value (for futures), account locale, and position sizing and withdrawal options.
For market systems, these settings are made via the Setup command of the Analysis menu.
The most important basic settings for portfolios are the list of market systems in the portfolio,
the starting account equity, and the account locale. These settings are made using the Setup
command of the Portfolio menu.

Market System Settings
To enter the basic settings for a market-system (.msa) document, select the Setup command of
the Analysis menu. The Analysis Setup window has three tabs: Input Data, Account Settings,
and Options.
Input Data tab
The Input Data tab allows you to control how the input data are interpreted. The Trading
Vehicle drop-down menu allows you to choose between “Futures” and “Stocks.” If the trading
vehicle is futures, position sizing will be in terms of “contracts.” If the trading vehicle isstocks, position sizing will be in terms of “shares.” The other major difference between stocks
and futures is how the margin requirement is determined. For futures, the required margin is a
fixed amount per contract. The margin requirement for stocks, on the other hand, is a fractionof the purchase price, which is determined from the entry price. For forex trading, “Stocks” isgenerally the better choice.
If the trading vehicle is futures, the point value for the futures contract can be entered in thespace following “Point Value (futures only):” The point value is used to determine the valueof a futures position, which is required with several position sizing methods, such as theleverage target method. The point value is multiplied by the price to determine the value ofthe position. For example, if the price of an E-mini S&P futures contract is 1225.00, the pointvalue would be $50, and value of the position would be 50 x 1225 or $61, 250. For forex
trades, the point value can be set using the “currency conversion” field in the input data (seeChapter 3).

33

The drop down menu next to “Calculate profit/loss and/or risk using:” is used to specify how
the input data are used to determine the profit/loss and risk values when both profit/loss/riskand price data are available. If the first option, “Profit/loss/risk data,” is chosen, the profit/loss
and risk data themselves are used. If the second option, “Prices (entry/exit/stop),” is chosen,
the price data are used to calculate the profit/loss and risk values. The default is
Profit/loss/risk data.
The next entry on this tab is the default trade size. This is used to interpret the profit/loss andrisk data if the trade size has not been included with the input data. For example, if the
profit/loss amount is $500, and there is no corresponding trade size in the input data, thedefault trade size will be used. If the default trade size is 100 shares, for example, then the
profit/loss value of $500 will be interpreted as $500 per 100 shares or a profit of $5 per share.
This can be used to simplify the data entry when all trades are for the same number of sharesor contracts. In this case, the trade size can be entered here, and the trade size field can beskipped when importing or entering the data. If the trades are specified in terms of entry, exit
and stop prices rather than profit/loss and risk amounts, the default trade size will only be used
when the position sizing is set to “None.”
The first check box in the bottom part of the window can be used to indicate that the
profit/loss and risk data are percentages of the initial account equity rather than dollar
amounts. For example, if a trade profit/loss is 1.4% of equity, it could be entered as 1.4 rather
than the equivalent dollar amount. Checking the box would instruct MSA to interpret thevalue 1.4 as a percentage. If the trade profit/loss data already include an amount forcommissions, slippage and fees, check the middle box. If this is done, the fees will not be
deducted from the profit/loss amount but will be listed in the results. Similarly, if the entry
and exit prices include the slippage, you would check the next box. In this case, MSA will not
deduct the amount entered for slippage from the profit/loss results determined from the pricedata (if applicable).

34

The last box is used to automatically reload the chart data at specified intervals. If this box ischecked, the program will reload the trade data from the trades file every specified number ofhours, minutes, and seconds. For example, if you entered zero in the first box, 3 in the second
box, and 15 in the last box, MSA would reload the chart data every three minutes and 15
seconds. This is intended for day traders who have set up their trading software to update thetrades file after each trade. For example, a system written for TradeStation could use theWriteTrades function included with MSA for this purpose.
Account Settings tab
The Account Settings tab, shown below, allows you to set basic options related to your trading
account, such as the starting account equity value, margin requirements, and trading costs. At
the top of the page, you can enter the starting account size in currency units (e.g., dollars) andthe maximum allowable number of shares/contracts. The starting account size is used to begin
the equity curve calculation. This is the amount of money in the trading account at the start ofthe simulation. The starting account size must be greater than zero to generate an equity curve.
The program will automatically calculate the minimum value necessary to cover the
maximum drawdown without position sizing and set the starting equity to that value by
default.

The "Trade size limit" puts a limit on the number of shares or contracts generated in
producing the equity curve. The default is 1,000,000 shares or 5000 contracts. One reason tochange this value would be to set it to the exchange's position size limit for the futurescontract being traded. For example, if you're trading a futures contract that has an exchangemandated position size limit of 500 contracts, you could change this value to 500.
You can also select the locale for your trading account on this tab. The locale determines thecurrency unit used for display purposes (dollar, Yen, Euro, etc.) as well as the number format.

35

The default value is the locale set in Windows in the control panel under Regional and
Language Options.
The next set of entries on this tab is grouped according to whether the trading vehicle isfutures or stocks. If the trading vehicle is futures, the initial margin requirement per contract,
the round turn slippage, and the round turn commissions and fees should be entered. “Roundturn” means that the slippage and commission/fee amounts are deducted once per trade rather
than once at the entry and again at the exit.
If the trading vehicle is stocks, the margin requirement is entered as a percentage of thepurchase price of the trade. For example, if the margin is 50%, the equity in the trading
account would need to be at least 50% of the purchase price of the trade. To purchase 100
shares of a $25 stock would require $1250. A “margin account” in the U.S. generally allows
no less than 50% margin.
Margin is related to leverage. The lower the margin requirement, the higher the leverage. The
relationship is as follows: Leverage = 100/margin. For example, a margin of 50% implies
leverage of two, or 2:1 (“two to one”). Margin of 25% would be leverage of 4:1.
For stock trading, the slippage and commission and fees are entered as the amount per side.
This means that the amount is deducted twice from each trade, once at the entry and again at
the exit. The values can be specified as “per share” or “per trade.”
Periodic Withdrawals. This option allows you to set up a schedule of regular withdrawals
within the simulation that MSA performs. Withdrawals can be specified as a fixed amount(e.g., $5000) or a percentage of account equity (e.g., 4% of equity). The withdrawals can bescheduled weekly, monthly, quarterly, or yearly. The actual withdrawal date/time is 1 second
prior to midnight on the last day of the week, month, quarter, or year. Once the settings are
made, withdrawal “trades” are added to the trades file at each withdrawal date. These
withdrawal trades are given the symbol “Period WD” and can be examined using theEdit/Add command of the Trades menu. The value of the withdrawal (either amount orpercent of equity) will be shown in the Profit/loss field. The trade type will be shown in the
Edit/Add Trades list as either “Amt-Add/With” for a withdrawal amount or “Per-Add/With”
for a percentage withdrawal.
Periodic withdrawal trades cannot be changed via the trade editor. To change or remove thewithdrawals, use this tab of the Setup command. To add one-time additions or withdrawals,
use the trade editor and set the trade type to one of the Addition/Withdrawal options, as
discussed in Chapter 3, Input Data.
Because periodic withdrawals are implemented as a specific type of trade, they can only be
added to market systems, not portfolios. When a market system with periodic withdrawals is
added to a portfolio, the withdrawals will be automatically included in the portfolio. Periodic
withdrawals specified as a percentage of equity will be applied to the portfolio equity.
Options tab
The Options tab, as shown below, contains a number of options for position sizing, Monte
Carlo analysis, dependency analysis and the significance test. The first option, "No skippedtrades. Trade a minimum of [] shares/contracts/units per trade", if checked, means that even if
the account size is too small to support one shares/contract/unit, as determined by the position
sizing method, the specified minimum number of shares/contracts/units will be traded
nonetheless. This option can be useful for smaller accounts, where you might choose toexceed the risk limits imposed by the position sizing method. It is also a way to force thesimulation to trade through a drawdown that would otherwise result in a position size of zero.

36

The second option in this section, "Trade [] shares/contracts/units per trade until equity
reaches []," means that the program will trade exactly the specified number ofshares/contracts/units, ignoring the position sizing method, until the equity reaches the
specified value. At that time, the chosen position sizing method will take effect. This option
can be useful for small futures trading accounts, where typical position sizing methods often
switch from one contract to two after a win then back down to one contract after a loss. To
avoid this kind of "unstable" position sizing, it's sometimes preferable to simply trade a fixed
number of contracts until the account equity is large enough to take full advantage of a moreformal position sizing method, such as fixed fractional trading.
The next option is to trade in units of a specified number of shares of contracts. This isparticularly useful for stock trading, where you may want to trade in “even lots” of, say, 100
shares. In this case, you would check the option and enter 100 in the box. The number ofshares for each trade will be a multiple of 100. When this option is checked, some parameters
and results will be listed in terms of “units” rather than shares or contracts.
The next section of this tab presents options and settings for Monte Carlo analysis. The
number of samples used in performing the Monte Carlo calculations can be entered here. The
default is 500 samples. Choosing more than this will provide more accurate results but willslow down the analysis proportionally to the number of samples; twice as many samples willtake twice as long, for example. You can also select the probability at which the Monte Carlo
results are recorded. The default is 95%. Any value from 50% to 100% can be entered. This is

37

the probability that is displayed in the Monte Carlo Results window. Also see Chapter 6,
Monte Carlo Analysis, Overview.
You can choose between two types of Monte Carlo analysis. Selecting "Include all trades in
MC analysis" will perform a standard Monte Carlo analysis based on randomizing the tradeorder. Following the analysis, the equity curve plot will display four lines: the current
sequence of trades, the equity curve at the specified confidence level, the equity curve at thelower confidence level (100 minus the specified confidence), and the equity curve at 50%
confidence.
If you choose "Predict equity curve over last N trades", where N is the number entered in theedit box, the trades prior to the last N trades will be randomly sampled (with replacement) to
extrapolate the equity curve over the last N trades based on the prior trades. As with the otheroption, four equity curves will be displayed, this time over the last N trades: the current
sequence and the curves at high, low, and median confidence. This feature can be used todetect when the trading strategy is underperforming based on the prior history. In particular, if
the current sequence is below the predicted curve at high confidence (i.e., the lower curve),
the strategy may be out of sync with the market and may need to be modified (e.g., reoptimized) or abandoned.
There are two optional Monte Carlo analyses that can be performed. The first option
calculates the probability that the account will be X% lower after N trades. For example, X
might be 25, and N might be 10. This would calculate the probability that the account equity
would be 25% lower after the first 10 trades. Note that this is not the same as a maximum
drawdown of 25% within the first 10 trades but rather the probability that at the end of 10
trades, the equity will be 25% lower.
The second option calculates the probability that the account will be X% higher after N trades.
For example, you might calculate the probability that the account will be 50% higher after 30
trades. Note that you must have at least N trades in the current sequence to generate results forthese options. In other words, if you want to know the probability of the account being 50%
higher after 30 trades, for example, you need at least 30 trades in your trade sequence. If yourtrade list contains too few trades, you can increase the size of your trade sequence using oneof the methods discussed in Chapter 6, Monte Carlo Analysis, Overview.
The next option affects the dependency analysis. In addition to performing the dependency
analysis (runs test) over all trades in the current sequence, the runs test can optionally be
performed over a sliding window of trades, N trades in length. To add this analysis, check thebox and enter the value for N. The analysis will repeat the runs test over a window of trades N
trades in length, moving the window one trade forward each time. For example, if there are
100 trades, and N = 30, the first runs test will be conducted over trades 1 - 30. The next runs
test will be over trades 2 - 31, the third over trades 3 - 32, etc. The last runs test will be
performed over trades 71 - 100. The results for each runs test will be displayed in the
Dependency tab of the Performance Results window. Also see Chapter 9, Trade Dependency,
Overview.
The next section is where you enter the inputs for the statistical significance test. Enter thenumber of rules and/or restrictions imposed by the trading system or method, and select theconfidence limit for the average trade calculation. See Chapter 10, Significance Testing, formore information.
Finally, this tab allows you to enter a value for the risk-free interest rate used in calculating
the Sharpe ratio. The interest rate is a monthly rate, not an annual rate. See Chapter 12,
Viewing the Results, Performance Results, for the definition of the Sharpe ratio.

38

Portfolio Settings
To enter the basic settings for a portfolio (.msaport) document, select the Setup command of
the Portfolio menu. The Portfolio Setup window has two tabs, Market Systems and Settings,
described below.
Market Systems tab
Use the Add Market System(s)... button on this tab to select any number of existing marketsystem (.msa) document files. The selected market systems will be added to the portfolio. A
market system can be removed using the Remove Market System(s) button. To open one of
the market-system documents comprising the portfolio, either double-click on the marketsystem name in the list or use the Open File(s) button.
The check box at the bottom of this tab is used to automatically reload the chart data at
specified intervals. If this box is checked, the program will reload the trade data from thetrades files for each market system at every specified number of hours, minutes, and seconds.
For example, if you entered 5 in the box for seconds, with zero in the other boxes, MSA
would reload the chart data every five seconds. This is intended for day traders who have set
up their trading software to update the trades file after each trade. For example, a system
written for TradeStation could use the WriteTrades function included with MSA for thispurpose.

Settings tab
The Account Settings tab, shown below, allows you to set basic options related to your trading
account, such as the starting account equity value, and options for Monte Carlo analysis,
dependency analysis and the significance test. At the top of the page, you can enter thestarting account size in currency units (e.g., dollars). The starting account size is used to begin
the equity curve calculation. This is the amount of money in the trading account at the start ofthe simulation. The starting account size must be greater than zero to generate an equity curve.

39

You can also select the locale for your trading account on this tab. The locale determines thecurrency unit used for display purposes (dollar, Yen, Euro, etc.) as well as the number format.
The next section of this tab presents options and settings for Monte Carlo analysis. The
number of samples used in performing the Monte Carlo calculations can be entered here. The
default is 500 samples. Choosing more than this will provide more accurate results but willslow down the analysis proportionally to the number of samples; twice as many samples willtake twice as long, for example. You can also select the probability at which the Monte Carlo
results are recorded. The default is 95%. Any value from 50% to 100% can be entered. This is
the probability that is displayed in the Monte Carlo Results window. Also see Chapter 6,
Monte Carlo Analysis, Overview.

You can choose between two types of Monte Carlo analysis. Selecting "Include all trades in
MC analysis" will perform a standard Monte Carlo analysis based on randomizing the tradeorder. Following the analysis, the equity curve plot will display four lines: the current
sequence of trades, the equity curve at the specified confidence level, the equity curve at thelower confidence level (100 minus the specified confidence), and the equity curve at 50%
confidence.
If you choose "Predict equity curve over last N trades", where N is the number entered in theedit box, the trades prior to the last N trades will be randomly sampled (with replacement) to
extrapolate the equity curve over the last N trades based on the prior trades. As with the otheroption, four equity curves will be displayed, this time over the last N trades: the current

40

sequence and the curves at high, low, and median confidence. This feature can be used todetect when the portfolio is underperforming based on the prior history. In particular, if thecurrent sequence is below the predicted curve at high confidence (i.e., the lower curve), one ormore of the strategies in the portfolio may be out of sync with the market and may need to bemodified (e.g., re-optimized) or abandoned.
There are two optional Monte Carlo analyses that can be performed. The first option
calculates the probability that the account will be X% lower after N trades. For example, X
might be 25, and N might be 10. This would calculate the probability that the account equity
would be 25% lower after the first 10 trades. Note that this is not the same as a maximum
drawdown of 25% within the first 10 trades but rather the probability that at the end of 10
trades, the equity will be 25% lower.
The second option calculates the probability that the account will be X% higher after N trades.
For example, you might calculate the probability that the account will be 50% higher after 30
trades. Note that you must have at least N trades in the current sequence to generate results forthese options. In other words, if you want to know the probability of the account being 50%
higher after 30 trades, for example, you need at least 30 trades in your trade sequence. If yourtrade list contains too few trades, you can increase the size of your trade sequence using oneof the methods discussed in Chapter 6, Monte Carlo Analysis, Overview.
The next option affects the dependency analysis. In addition to performing the dependency
analysis (runs test) over all trades in the current sequence, the runs test can optionally be
performed over a sliding window of trades, N trades in length. To add this analysis, check thebox and enter the value for N. The analysis will repeat the runs test over a window of trades N
trades in length, moving the window one trade forward each time. For example, if there are
100 trades, and N = 30, the first runs test will be conducted over trades 1 - 30. The next runs
test will be over trades 2 - 31, the third over trades 3 - 32, etc. The last runs test will be
performed over trades 71 - 100. The results for each runs test will be displayed in the
Dependency tab of the Performance Results window. Also see Chapter 9, Trade Dependency,
Overview.
The next section is where you enter the inputs for the statistical significance test. Enter thenumber of rules and/or restrictions imposed by the trading system or method, and select theconfidence limit for the average trade calculation. See Chapter 10, Significance Testing, formore information.
Finally, this tab allows you to enter a value for the risk-free interest rate used in calculating
the Sharpe ratio. The interest rate is a monthly rate, not an annual rate. See Chapter 12,
Viewing the Results, Performance Results, for the definition of the Sharpe ratio.

Chapter 5
Position Sizing
Overview
Position size is the number of shares or contracts bought or sold for a given trade. If yourposition size is too large, a string of losses could force you to stop trading. With the built-in
leverage of futures, trading too many contracts can even cause you to lose more money thanyou have in your account. On the other hand, if your position size is too small, you'll be
underutilizing your account equity, and your performance will suffer. Finding the properbalance is a part of good money management, and most experts agree that money
management is one of the most critical aspects of trading.
In Market System Analyzer (MSA), the position sizing method for a market system is selectedusing the Position Sizing command of the Analysis menu. For a portfolio, the position sizing
methods for the market systems comprising the portfolio are selected using the Position
Sizing command on the Portfolio menu. See Chapter 14, Menu Commands, for the specifics
of each Position Sizing command.
With each position sizing method available in MSA, except for fixed size and constant value
position sizing, the number of contracts increases as profits accrue and decreases as the equity
drops during a drawdown. Position sizing methods that use this approach are known as
antimartingale methods. Antimartingale methods take advantage of the positive expectancy ofa winning trading system or method. If you have an "edge" with your trading (i.e., yourtrading method is inherently profitable), you should use an antimartingale method, such as
those listed above. The alternatives, known as martingale methods, decrease the amount at
risk after a win and increase the amount at risk after a loss. A commonly used example is"doubling down" after a loss in gambling. Martingale methods are often used by gamblers,
who trade against the house's advantage.
Provided you have a profitable trading method, antimartingale methods are always preferable
over the long run because they're capable of growing your trading account geometrically.
However, it's sometimes possible to lower your risk by taking advantage of patterns of wins
and losses, similar to martingale methods. MSA offers two options for doing this: dependency
rules and equity curve trading. Both of these methods adjust the position sizing while
maintaining the selected position sizing method. While martingale methods are notrecommended, these adjustments to the antimartingale methods can sometimes prove
beneficial.
When a position sizing method is applied in MSA, the equity curve in the main chart uses thatmethod to accumulate the equity from trade to trade to simulate continuous trading over that
series of trades. This approach is intended for evaluating market systems and position sizing
methods. However, a different approach is needed for trading on a day to day basis, where it'snecessary to determine the number of shares/contracts for the next (upcoming) trade. In MSA
this is referred to as real time position sizing (see Real Time Position Sizing, below). This
capability is provided with the Trade Size command (Analysis menu for market systems;
Portfolio menu for portfolios), which is a kind of position sizing calculator. You can use theTrade Size command to determine the position size for the next trade based on your current
account equity and applying the currently selected position sizing method, parameters, andrelated settings.

42

Regardless of the position sizing method chosen, the number of shares or contracts in MSA islimited by the margin requirements, provided margin data have been entered on the Analysis
Setup window. This insures that the number of shares or contracts could actually be tradedwith a real money account. To turn off this limit, enter a value of zero for the futures margin
or stock margin percentage. The position size is also limited to the trade size limit specified on
the Account Settings tab of the Analysis Setup window.
When applying position sizing to a portfolio, MSA uses the settings retrieved from themarket-system documents unless a setting made via the Portfolio menu overrides a marketsystem setting.
For information on applying the position sizing methods of MSA within TradeStation
strategies, see the Appendix: Position Sizing Code for TradeStation.

None
The default position sizing method in MSA is “None.” This is the first method listed on the
Position Sizing Method window. In this case, the position size is taken directly from the tradesize field of the input data. If the trade size was not provided in the input data, the default
trade size entered on the Analysis Setup window is used.

Fixed Size
This is the simplest method of position sizing. With this method, you simply choose thenumber of shares or contracts, and that number is used for each trade. This option is included
because (1) it provides a good baseline for comparison to more sophisticated position sizing
methods, and (2) many traders are comfortable trading a fixed lot size.
The Monte Carlo analysis feature of MSA can be used to provide a credible prediction of
future performance with a fixed position size. Suppose, for example, that you only want toincrease the lot size after your account equity has doubled. One of the Monte Carlo options(available on the Options tab of the Analysis Setup window) will estimate the probability thatthe account equity will double after, say, 50 trades. You could also use the position sizing
optimization feature with fixed size position sizing to determine the number of shares orcontracts that maximizes your net profit, for example, subject to a limit on the maximum
drawdown.

Constant Value
With constant value position sizing, each position is sized so that it has a specified value, suchas $1000 per trade. This method can be used when you want to allocate a specified amount ofequity to each trade. The constant value method will determine the number of shares/contracts
corresponding to your specified amount. For example, if you plan to purchase a stock at a
price of $25 and you want to spend $35,000, you would trade 35000/25 or 1400 shares. In thiscase, the constant value amount is 35000; each trade will be sized so that the position value is$35,000.
As with fixed size position sizing, this method does not increase position size based on equity.
The position size will vary only with the price of the instrument being traded. Also note that
this method requires the entry price for each trade.

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Fixed Amount of Equity
In this position sizing method, you choose the amount of account equity to trade one share,contract, or unit. The amount is “per unit” if the “Trade in units” option has been selected on
the Options tab of the Analysis Setup window. For example, if the dollar amount is $5,000
and the trading vehicle is futures, you would trade one contract for every $5,000 in theaccount. If the account equity is currently $50,000, you would trade 10 contracts on the next
trade.
As another example, suppose the trading vehicle is stocks, the option to trade in units of 100
shares has been selected, and the account equity is $30,000. If the dollar amount of equity is$6,000 per unit, then you would trade five units or 500 shares. If the position size calculated inthis manner is fractional, the number is rounded down to the nearest integer. For example, fora fixed dollar amount per contract of $4,000 and an account equity of $25,000, the program
would calculate 25,000/4,000 = 6.25, which rounds down to six contracts.
It's important to understand that the calculation for the position size is performed prior to eachtrade using the current value of account equity. For example, if you start with an account sizeof $10,000 and there are several winners in a row, you may have, say, $15,000 in the accountafter the 10th trade. For the 11th trade, the position size calculation is based on the accountbalance of $15,000. As with all position sizing methods in MSA (except fixed size andconstant value), the number of shares or contracts increases with higher account balances anddecreases as the equity drops during a drawdown.

Percent Volatility
The percent volatility method sizes each trade so that the value of the volatility, as represented
by the average true range (ATR), is a specified percentage of account equity. This method is
attributable to Van K. Tharp. See, for example, his book "Trade Your Way to Financial
Freedom," 2nd ed., McGraw-Hill, New York, 2007, pp. 426-8.
As an example, consider a futures trading system where the ATR is 7.2 points, and the valueof each point is $50. The ATR values can be calculated over any period you choose and areread in with the trade data using the ATR data input field. With a specified volatility
percentage of 4% and account equity of $20,000, the position size for the next trade would be
0.04 x 20000/(50 x 7.2) or 2.22. The result is 2 contracts for the next trade.
TradeStation users can use the WriteTrades function, discussed in the previous chapter, towrite out the ATR value corresponding to each trade.

Kelly Formula
The Kelly formula is a specialized form of fixed fractional position sizing, described below,
which uses an approximate formula – the Kelly formula – to determine the fixed fraction thatmaximizes the equity growth rate. Fixed fractional position sizing risks a specified fraction of
account equity on each trade. The Kelly formula specifies a particular value of the fixed
fraction. This “Kelly f value” is given by the following equation:
Fk = ((WL + 1) * Pw – 1)/WL
where WL is the ratio of the average winning trade to the average losing trade and Pw is theprobability of a winning trade.

44

For example, if the average winning trade is $300, the average losing trade is $400, and thepercentage of winning trades is 65%, the Kelly f value would be ((0.75 + 1) * .65 – 1)/0.75 or
0.183. This means that 18.3% of the account would be risked on each trade.
To determine the position size, the trade risk is assumed to be equal to the largest historicalloss. For example, if the largest loss experienced by the system in question was $1,200 trading
one contract, and the account equity was $35,000, then 18.3% of $35,000 is $6,405. This is
the amount to risk on the trade according to the Kelly formula. With a trade risk of $1,200,
this means we can trade 6405/1200 or 5 contracts.
MSA automatically calculates the Kelly f value for the current sequence of trades. The value
is displayed in the Position Sizing window in the Parameters section when the Kelly formula
is selected from the list of position sizing methods.
Please note the following:
1. The Kelly formula is approximate in that it assumes all wins are the same size and all
losses are the same size. The optimal f method, described below, removes thisassumption.
2. The formula does not take equity drawdowns into account and may produce very large
drawdowns in equity. In many cases, the position size will be limited by margin
requirements when using the Kelly formula.
3. The Kelly formula is not generally considered to be a practical or viable method of
position sizing and is only included for comparison to other methods and for educational
purposes.

Fixed Fractional
The idea behind fixed fractional position sizing is that the number of shares or contracts isbased on the risk of the trade. Fixed fractional position sizing is also known as fixed risk
position sizing because it risks the same percentage or fraction of account equity on eachtrade. For example, you might risk 2% of your account equity on each trade. Fixed fractional
position sizing has been written about extensively by Ralph Vince. See, for example, his book
"Portfolio Management Formulas," John Wiley & Sons, New York, 1990.
The risk of a trade is defined as the dollar amount that the trade would lose per contract/share
if it were a loss. Commonly, the trade risk is taken as the size of the money management stop
applied, if any, to each trade. If your system doesn’t use protective (money management)
stops, the trade risk can be taken as the largest historical loss per contract/share. This was theapproach Vince adopted in his book Portfolio Management Formulas.
As an example, consider a stock trading system that uses a 2 point stop. It might enter long ata price of 48 with a sell stop at 46, for example. The risk per share would be $2. With a fixed
fraction of 5% and account equity of $20,000, fixed fractional position sizing would risk 0.05
* 20000 or $1,000 on the next trade. Since the risk per share is $2, this means 1000/2 or 500
shares would be purchased.
Fixed fractional position sizing is often used with leveraged instruments, such as futures. It’s
one of the only position sizing methods that directly incorporates the trade risk (also see theProfit Risk method).

Optimal f
Like the Kelly formula, optimal f position sizing is a specialized form of fixed fractional(fixed risk) position sizing. Optimal f position sizing uses the fixed fraction that maximizes

45

the geometric rate of equity growth. This method was developed by Ralph Vince (seereference in previous section) as a more accurate version of the Kelly formula. Unfortunately,
optimal f has many of the same drawbacks as the Kelly formula. Namely, the optimal f value
often results in drawdowns that are too large for most traders to tolerate. As with the Kelly
formula, the position size based on the optimal f is often so high that it’s limited by margin
requirements.
The optimal f value is calculated according to an iterative procedure that maximizes thegeometric growth rate for the current sequence of trades. MSA performs this calculation
automatically and displays the resulting optimal f value on the Position Sizing window underParameters when the Optimal f method is selected. The calculation for the position size is thesame as for the Kelly formula except that the optimal f value is used in place of the Kelly fvalue. The trade risk is taken as the largest historical loss per share/contract.
As with the Kelly formula, optimal f position sizing is included primarily for educational
purposes. As a practical alternative to optimal f, consider using the optimization feature of
MSA with fixed fractional position sizing. Select rate of return as the optimization parameterto maximize, and check the box for applying a limit to the maximum allowable drawdown.
Optimize using Monte Carlo analysis to find a much smaller and therefore less risky fixed
fraction than optimal f.

Profit Risk Method
The profit risk method is similar to fixed fractional position sizing. In fixed fractional position
sizing, the dollar amount risked on a trade is a percentage of the current account equity. In the
profit risk method, the dollar amount risked on a trade is a percentage of the starting accountequity plus a percentage of the total closed trade profit. Once the risk amount is determined,
the number of shares or contracts is calculated the same way as in fixed fractional trading;
namely, the amount to be risked is divided by the trade risk per share/contract.
As an example, consider a futures trade where the risk of the upcoming trade is $300 per
contract. This amount might correspond to the size of the money management stop that will be
used during the trade or it might be the largest loss per contract that the trading method has
ever produced. Now suppose that the trading account started with a balance of $25,000 and iscurrently at a value of $45,000 (a total closed trade profit of $20,000). The percentages for the
profit risk method might be 2% of initial equity and 5% of profits. This means that the total
amount to risk on the trade would be 0.02 x 25000 + 0.05 x 20000 or $1,500. Since the traderisk is $300 per contract, the number of contracts to trade is 1500/300 or 5 contracts.
Compared to fixed fractional position sizing, the profit risk method is sometimes moreconvenient because it separates the account equity into initial equity and closed trade profit.
The percentage applied to the initial equity provides a baseline level of position sizing
independent of trading profits. Note that if both percentages are the same, the profit risk
method will produce the same result as the fixed fractional method.
If the optimization feature of Market System Analyzer is used with the profit risk method,
only the parameter for the percentage of profits will be optimized. The parameter for thepercentage of the initial equity will be unchanged by the optimization.

Fixed Ratio
In fixed ratio position sizing the key parameter is the delta. This is the amount of profit per
share/contract/unit to increase the number of shares/contracts/units by one. A delta of $3,000,
for example, means that if you're currently trading one contract, you would need to increase

46

your account equity by $3,000 to start trading two contracts. Once you get to two contracts,
you would need an additional profit of $6,000 to start trading three contracts. At threecontracts, you would need an additional profit of $9,000 to start trading four contracts, and soon.
Fixed ratio position sizing was developed by Ryan Jones in his book "The Trading Game,"John Wiley & Sons, New York, 1999. Based on an equation presented by Jones, it's possible
to derive the following equation for the number of contracts in fixed ratio position sizing:N = 0.5 * [((2 * N0 – 1)^2 + 8 * P/delta)^0.5 + 1]
where N is the position size, N0 is the starting position size, P is the total closed trade profit,and delta is the parameter discussed above. The carat symbol (^) represents exponentiation;that is, the quantity in parentheses is raised to the power following the carat (x^2 is “xsquared; x^0.5 is “square root of x”).
A few points are worth noting. The profit, P, is the accumulated profit over all trades leading
up to the one for which you want to calculate the number of shares/contracts/units.
Consequently, the position size for the first trade is always N0 because you always start withzero profits (P = 0). The account equity is not a factor in this equation. Changing the starting
account size, for example, will not change the number of shares/contracts/units, provided
there is enough equity to avoid dropping below zero.
The trade risk is also not a factor in this equation. If trade risks are defined for the current
sequence of trades, they will be ignored when fixed ratio position sizing is in effect. All thatmatters is the accumulated profit and the delta. The delta determines how quickly theshares/contracts/units are added or subtracted. If the “trade in units” option is selected, delta
will be the profit per unit to increase the number of units by one. For stock trading, without
the trade-in-units option, the delta will be the profit per share to increase the number of sharesby one.
Note that the equation above is applicable only to the case where a single delta is used forboth increasing and decreasing the number of shares/contracts. MSA allows you to decrease ata different rate. This is accomplished by specifying a delta fraction for decreasing. The delta
fraction is multiplied by the original delta to determine the delta for decreasing the position
size. The delta fraction is set to the value 1.0 by default, which implies the two deltas will be
the same.
If a delta fraction less than 1.0 is entered, the levels of increase and decrease will be closer
together, which will cause the position size to decrease more frequently in drawdowns as theequity drops. This will provide more protection from drawdowns but less ability to recover. If
a delta fraction greater than 1.0 is entered, the level of decrease will be farther from the levelof increase, so the position size will not drop as quickly or change as often during adrawdown. This will provide less protection during drawdowns but make is easier to recover.
Note that if the optimization feature of MSA is used with fixed ratio position sizing, only thedelta parameter will be optimized. The delta fraction will be unchanged by the optimization.

Generalized Ratio
As the name suggests, generalized ratio position sizing is a generalized version of fixed ratio
position sizing. Generalized ratio position sizing uses an additional parameter – the exponent– to alter the characteristics of the fixed ratio equation. Generalized ratio position sizing is
unique to MSA.

47

The number of shares/contracts/units in generalized ratio position sizing is given by thefollowing equation:
N = 0.5 * [(1 + 8 * P/delta)^m + 1]
where N is the number of shares/contracts/units, P is the total closed trade profit, m is the
exponent, which must be greater than or equal to zero, and delta is as described for the fixedratio method. The carat symbol (^) represents exponentiation; that is, the quantity inparentheses is raised to the power of m.
With an exponent of ½, the generalized ratio method is the same as the fixed ratio methodwith an initial position size of one. With exponent values less than ½ the position size
increases more slowly with increasing profits than with the fixed ratio method. With
exponents greater than ½, the position size increases more quickly than with the fixed ratio
method. An exponent value of one provides the same proportionality as the fixed fractional
method. An exponent value of zero gives one share/contract/unit for each trade.
The number of shares/contracts/units always starts at one with generalized ratio position
sizing. This can be seen in the equation above. If the profit, P, is zero, N is equal to 1. For thisreason, generalized ratio position sizing is more suitable for smaller accounts. Also, for stock
trading, the “trade in units” option should be selected so that the initial number of shares will
be equal to one unit. If the unit size is 100 shares, for example, the generalized ratio method
will start with 100 shares.
Note that if the optimization feature of MSA is used with generalized ratio position sizing,
only the delta parameter will be optimized. The exponent, m, will be unchanged by the
optimization.

Margin Target
Margin target position sizing sets the size of each position so that the chosen percentage ofaccount equity will be allocated to margin. For example, if you choose a margin target of
30%, then 30% of the account equity will be allocated to margin. For futures trading, thetrading margin is specified on a per-contract basis. The margin requirement for trading one
contract of the E-mini S&P futures might be $4,000, for example. For an account equity valueof $30,000, a 30% margin target would mean that 0.3 x 30,000 or $9,000 would be allocatedto margin. With a margin requirement of $4,000, the number of contracts would be 9000/4000
or 2 contracts (rounded down from 2.25). In other words, a position size of two contracts
requires a margin amount ($8,000) that is as close to 30% of equity as possible without
exceeding that target.
For stock trading, the margin requirement is calculated as a percentage of the purchase priceof the position. If the margin requirement is 100% (no leverage), you need to pay the fullamount of the trade. For example, a stock trade that enters at a price of $23 would require $23
per share. However, a typical retail margin account in the US can be margined up to 50%,
which mean that the margin requirement for a $23 stock would be only $11.5 per share. If themargin target is, say, 40%, and the account equity is $25,000, then $10,000 should beallocated to margin (i.e., 0.4 x 25000). For a $23 stock and a margin requirement of 50%, you
would trade 10000/11.5 or 869 shares. In other words, 869 shares would require margin of
about $10,000, which is 40% of the account equity of $25,000.

48

If the margin is undefined or the entry price is undefined for stocks, the position size for themargin target method will default to the maximum allowable position size, as defined on the
Account Settings tab of the Analysis Setup window.

Leverage Target
The leverage target position sizing method sets the position size so that the leverage of theresulting position matches the selected target. Leverage is defined as the ratio of the value ofthe position to the account equity. For example, if 1000 shares of a $30 stock are purchasedwith a $25,000 account, the leverage would be $30,000/$25,000 or 1.2. Leverages greater than
1.0 imply margin percentages less than 100%. A margin percentage of 50%, for example, isequivalent to a leverage of 2 (“2 to 1” or “2:1”). For stocks, the relationship between theminimum margin requirement in percent and the maximum allowable leverage is provided on
the Account Settings tab of the Analysis Setup window.
This method requires the entry price and, for futures, the point value (defined on the Input
Data tab of the Analysis Setup window). If the entry prices have not been defined or the pointvalue for futures has not been entered, the position size will be zero.

Percent of Equity
This method is intended primarily for stocks. The number of shares is chosen so that the valueof the position is equal to the selected percent of account equity. For example, if the percent ofequity is 40%, the position size will have a value equal to 40% of the account equity. If theaccount equity is $30,000, the position would have a value of 0.4 x 30000 or $12,000. If theshare price is $25, the position size would be 12000/25 or 480 shares. In other words, a
position size of 480 shares at $25 per share has a value of $12,000, which is 40% of the equity
value of $30,000.
As with the leverage target method, this method requires the entry price and, for futures, thepoint value. If the required data are not available, the position size will be zero.

Max Drawdown Method
This method was devised by legendary trader Larry Williams and described in his book “TheDefinitive Guide to Futures Trading, Volume II,” Windsor Books, New York, 1989, pp. 1846. The basic idea is to make sure you have enough equity in your account to weather the
worst-case drawdown. At a minimum, you would need enough equity to cover the size of theworst-case drawdown plus the margin requirement. For futures trading, this means that inorder to trade one contract, you would need at least the one-contract margin requirement plus
the worst-case, one-contract drawdown. Larry Williams recommended taking 150% of theworst-case drawdown plus margin for the first contract.
Each subsequent contract is added when the equity increases by 150% of the worst-casedrawdown. This insures that you always have enough equity to avoid losing everything even
if the worst-case drawdown repeats itself. In fact, even if the drawdown is 150% of thehistorical worst-case value and it happens at the most inopportune time (which is immediately
after adding a new contract), you would still be left with enough equity to cover the marginfor one contract. In MSA, the percentage of maximum drawdown, such as William’s
recommended value of 150%, is selected by the user. You can set this percentage to any
positive value.
Although originally devised for futures trading, this method works equally well for stocks. If
the entry price for a stock trade is not available or the margin has not been specified, therequired equity for the first share/contract/unit will be zero. In the unlikely case that the49historical sequence of trades has zero drawdown, the position size will default to the
maximum allowable value specified on the Account Settings tab of the Analysis Setup
window.

Maximum Possible
This method sets the position size to the maximum possible number of shares or contracts
based on margin requirements. In other words, you’ll trade as many contracts or shares as you
can afford.
For example, consider a futures trade where the margin requirement for one contract is $3000.
For a $25,000 account, the maximum possible number of contracts is 25000/3000 or eightcontracts. For a stock trade with an entry price of $14, a margin requirement of 50% and an
account size of $35,000, the maximum possible number of shares would be 5000 shares(35000/(0.5 x 14)).
If the margin, or the entry price if trading stocks, has not been defined, this method defaults tothe maximum allowable position size specified on the Account Settings tab of the Analysis
Setup window.

Equity Curve Crossovers
MSA includes an equity crossover feature that allows you to modify the position sizing basedon crossovers of a moving average of the equity curve. The equity curve crossover rules areavailable on the Equity Curve Crossovers tab of the Position Sizing window, as shown below
for a market-system document. The same rules can be applied to a portfolio’s equity curveusing the same command from the Portfolio menu. For a portfolio, you can optionallydeactivate any equity curve crossover rules active in individual market-system files.

The basic idea is to either trade more or fewer shares or contracts when the equity curve
crosses above or below its moving average. Three rules for implementing this are available.
The first rule, "Stop trading when equity crosses above/below moving average; resume tradingon crossover in opposite direction" is the most basic and commonly used method. If this ruleis selected, you must choose either "above" or "below" to indicate whether to stop trading

50

when equity crosses above or below the moving average. Choose "below" if your system or
method tends to produce streaks of wins and losses, so that when it starts to lose, it's best to
stop trading until it starts winning again. Choose "above" if your system or method tends to"revert to the mean"; i.e., after several wins, it starts to lose, and vice-versa. Note that thedependency analysis can be used to determine if your system has either of these tendencies
with statistical significance. If the first rule is chosen, the other two rules are deactivated.
The second and third rules produce a more subtle change in position sizing than the first one.
Whereas the first rule starts and stops trading on crossovers of equity with the moving
average, the second and third rules reduce or increase the position size on moving averagecrossovers. Selecting the second rule will increase the position size for the currently selected
method by X% when the equity crosses above/below the moving average. Selecting the third
rule will decrease the position size by Y% when the equity crosses above/below the moving
average. The second and third rules can be selected together or one or the other can beselected alone. The increase or decrease in the position size is relative to the current value of
position size.
If both rules are selected together, make sure that if one rule uses "above", the other uses
"below." For example, the second rule might be to increase the position size 50% when equity
crosses above the moving average. The third rule might be to decrease the position size by
30% when equity crosses below the moving average. In this case, the parameter is either 50%
higher or 30% lower than the baseline value. Alternatively, you can alter the position size on
crossovers in one direction but not the other by selecting only one of the second and thirdrules. For example, if you only select the second rule with a percentage value of 40% andselect "above," then the position size will be 40% higher on crossovers above the moving
average and will return to the baseline value on crossovers below the moving average.
Under “options” on the Equity Curve Crossovers tab, you can enter the length of the moving
average of the equity curve and the type of moving average. The length is the number of
trades used to calculate the moving average. MSA has four optional moving average types:
simple, exponential, weighted, and TRIX (triple exponential). There is also an option to show
the moving average on the chart. The length entry and the option to show the moving average
are also available through the Format Chart command.

Real Time Position Sizing
Real time position sizing refers to calculating the size of a trading position (i.e., the number ofshares of stock or contracts of futures) prior to placing a trade. This is in contrast to theposition sizing calculations performed during simulations or back-testing of a trading systemor method, such as the calculations performed by MSA in constructing the equity curve for thechart window. MSA provides the Trade Size command of the Analysis menu to enable realtime position sizing for individual market systems and the same command on the Portfolio
menu for real-time position sizing of portfolios.
The Trade Size window for market systems is shown below.

51

To begin, enter the current value of your account equity in the first box. If fixed fractional(fixed risk) or the profit risk position sizing method has been chosen, enter the trade risk in thesecond box. If the “trade in units” option has been selected, the trade risk will be the risk perunit; e.g., the risk per 100 shares. As explained previously, the trade risk is the dollar amountthe trade would lose per share/contract if it were a loss. This is most often determined fromthe placement of a money management stop order or from the size of the largest historicalloss. If required by the selected position sizing method, enter the market price or expectedentry price of the trading vehicle and the average true range (ATR) on the bar prior to entry.
Once these data have been entered, click the “Calculate” button in the Results section or press
the Enter key on your keyboard. The number of shares or contracts and the required margin
will be displayed. You can enter different values for the account equity and trade risk (ifapplicable) to recalculate the results. Click Close to close the window when finished.
The calculations are performed using the position sizing method, parameters, and settingscurrently in effect. These settings include the options on the Analysis Setup and Position
Sizing windows, including the equity curve crossover rules, as well as the dependency rules.
The calculation is performed as if the trade in question was the next trade in the current
sequence. That is, the trade for which the position size is calculated is assumed to be the tradethat immediately follows the last trade in the current sequence. If, for example, the negative
dependency rule has been selected -- "skip the next trade after a win, take the next trade after aloss" -- and the last trade in the current sequence is a win, Trade Size will calculate zero
shares/contracts for the next trade. The calculation may also produce a zero position size if theequity curve crossover rule is in effect (depending on the selected rule and the equity curve) or
if the entered value of equity is so low that the position size rounds down to zero from afraction.
Trade Size can also be used as a stand-alone position sizing calculator. In this mode, simply
run MSA without opening a .msa file or entering any data into the program. With no data inthe program, select your position sizing method and options from the Analysis menu thenpress F11 (or select Trade Size from the Analysis menu) to open the Trade Size window.
Enter the data and click “Calculate,” as explained above.

52

In most cases, the best way to use this feature is to maintain a .msa file containing an up-todate list of the trades from the system or method of interest. Use MSA to analyze the trades
and optimize the position sizing method, preferably limiting the analysis to a range of trades
and saving the rest for out-of-sample testing. Select any other rules, such as dependency rules
or equity crossover rules, and verify the analysis with out-of-sample testing and Monte Carloanalysis. At this point, assuming the last trade in the current sequence is the most recent tradefrom your system or method, you can run Trade Size with the optimized position sizing
parameters and rules to calculate the number of shares or contracts for the next trade. Entereach new trade into MSA to make sure any selected dependency or equity crossover rules
reflect the actual trade history. Keeping the list of trades up-to-date also enables you to reoptimize as frequently as after each trade if desired. You should maintain a separate .msa filefor each market system you follow with the program in order to store all your analysis
settings.
The Trade Size command for portfolios is shown below.

To use this command, enter the current value of your account equity in the space provided.
Then enter the data for each market system in the boxes on the left-hand side of the window.
Use the Next MS button to move to the next market system until the data have been enteredfor each market system. Finally, click the “Calculate Position Sizes” button. The results are
displayed in the list above the calculate button. The results include the name and number ofthe market system, the trade risk per share/contract/unit if applicable, the calculated position
size for the next trade, and the margin or cost for the indicated position size. The total margin
or cost for the portfolio is also shown. Note that the word “margin” is typically used with
futures while “cost” is used with stocks. This reflects the fact that futures trades require amargin deposit, whereas stocks are typically bought or sold based on the position’s value.
Most of the required data, such as the trade risk and the entry price, are the same as describedabove for the Trade Size command for market systems. However, for portfolios, it’s also
necessary to account for any open positions. This is the purpose of the check box “Open trade.
Position size:” If there is an open position for the market system, the size of the position
should be entered here. If no entry is expected for the market system, it can be excluded fromthe calculations by checking the box “No new entry; exclude MS”. This will ensure that noequity is allocated to this market system when determining the position sizes for the othermarket systems.

Chapter 6
Monte Carlo Analysis
Overview
Monte Carlo analysis is a computational technique for assessing the impact of randomvariation in a simulation model's parameters. In Monte Carlo analysis, the random variables ofa model are represented by statistical distributions, which are randomly sampled to produce
the model's output. The output is therefore also a statistical distribution. Compared tosimulation methods that don't include random sampling, the Monte Carlo method often
produces more useful results, which tend to be more conservative and often more accurate
when used as predictions.
In Market System Analyzer (MSA), the trade distribution, as represented by the list of trades,
is sampled to generate a trade sequence. Each such sequence is analyzed, and the results are
sorted to determine the probability of each result. In this way, a probability or confidence
level is assigned to each result. Without Monte Carlo analysis, the standard approach forcalculating the historical rate of return, for example, would be to analyze the current sequenceof trades using, say, fixed fractional position sizing. It might be found that the rate of return
over the sequence was 114%. With Monte Carlo analysis, on the other hand, hundreds or
thousands of different sequences of trades are analyzed, and the rate of return is evaluated at a
specified probability. For example, the rate of return as determined by Monte Carlo analysis
might be 83% with 95% confidence. This means that of all the thousands of sequences
considered, 95% had rates of return greater than or equal to 83%.
The Monte Carlo analysis for a market system in MSA is performed when the Monte Carlo
Analysis command is selected from the Analysis menu. For portfolios, the same command isavailable on the Portfolio menu. The analysis is performed on the current sequence of trades
using the number of samples entered in the Options tab of the Analysis Setup window (orSettings tab of the Portfolio Setup window for portfolios). In this context, "sample" means arandomly selected sequence of trades. The default is 500 samples, which means that theMonte Carlo results will be based on 500 random trade sequences. The results in the Monte
Carlo Results window will be displayed at the confidence level selected on the Analysis Setup(Portfolio Setup for portfolios) window.
Note: In MSA version 3.5 and above, the Monte Carlo analyses for both market systems andportfolios use parallel processing algorithms that are designed to fully utilize all cores of amulti-core computer to maximize processing speed.
There are two types of Monte Carlo analyses available in MSA. As shown on Analysis Setup,the options are "Include all trades in MC analysis" and "Predict equity curve over last N
trades".
Including All Trades in the Monte Carlo Analysis
If this option is selected, each sequence of trades analyzed during the Monte Carlo analysis
will consist of a random sampling of the same trades as in the current sequence, with eachtrade included once. This method of sampling the trade distribution is known as random
selection without replacement. Another possible sampling method is random selection withreplacement. If this method were used, trades would be selected at random from the original

54

list of trades without regard to whether or not the trade had already been selected. In selection
with replacement, a trade could occur more than once in the new sequence.
The benefit of selection without replacement is that it exactly duplicates the probability
distribution of the input sequence, whereas selection with replacement may not. The drawback
to selection without replacement is that the randomly sampled sequences are limited to thenumber of trades in the input sequence. If you have a short sequence of trades (say, less than
30 trades), this may limit the accuracy of certain calculations, such as the drawdown.
Fortunately, the data manipulation features of MSA provide a way to avoid this problem.
If you have a small sample of trades to analyze, it's recommended that you increase the size ofyour trade list using one of two methods:
1. Import the list of trades multiple times, appending the imported trades to the existing ones
each time. When the list of trades is long enough, such as 100 trades, randomize thesequence several times before performing your analysis. If you entered the trades
manually rather than through the import command, export the trades you entered to create
a file that can then be imported back in.
2. Use the statistical properties of your small sample, as given in the Performance Results
window, to create a larger series of trades using the Create Trades From Statistics
command.
The first method is similar to random selection with replacement with the added benefit thatthe final list of trades will have the same statistical properties as the original list. The second
method introduces more randomness into the trade sequence, which may be preferable giventhat trades encountered in the future will likely be different than those of the original
sequence. Either of these methods will provide you with a sequence of trades that is as long as
needed to generate meaningful results.
When performing the Monte Carlo analysis for a portfolio, MSA randomizes the trade
sequence for each market system separately before combining the trade sequences into theportfolio equity curve. This means that any correlations between market systems will be lost
during the Monte Carlo analysis. If your analysis or position sizing settings depend on thecorrelations between market systems, a portfolio Monte Carlo analysis may not generatemeaningful results. On the other hand, by removing the correlations, a more conservative
result may be generated.
In addition to displaying summary results in the Monte Carlo Results window, the equity
curve display will be changed following the Monte Carlo analysis so that it displays
probability bands resulting from the analysis. The "Current Sequence" drop-down menu in themenu bar will change to "Monte Carlo", and four equity curves will be displayed, as shown
below.
The thicker curve in the figure below is the equity curve for the current sequence of trades.
This curve can be changed using the Randomize/Restore commands just like when the"Current Sequence" option is selected in the menu bar. The upper and lower curves in the plot
are the lower and higher confidence bands, respectively, for the Monte Carlo analysis. For
example, if the confidence level for Monte Carlo analysis is 95%, the lower band will be at
95% confidence, and the upper band will be at 5% confidence (i.e., 100% - 95%). The middle
curve represents the results at 50% confidence.

55

All three curves are calculated trade-by-trade. For example, the equity value at 95%
confidence for trade 100 is the equity value lower than 95% of the Monte Carlo iterations forthat trade; i.e., 95% of the Monte Carlo iterations had an equity value for that trade higher
than the plotted value. In general, increasing the confidence level will increase the width ofthe channel -- the distance between the upper and lower bands. Setting the confidence level to
100% implies that all equity curves generated from the Monte Carlo analysis fell between thetwo bands. The curve at 50% confidence represents the trade-by-trade median value of theMonte Carlo iterations. The display can be changed back to the normal equity curve plot bychanging the drop-down menu from "Monte Carlo" to "Current Sequence".
Predicting the Equity Curve Over the Last N Trades
If this option is selected, the Monte Carlo analysis will be used to predict a range of possible
outcomes for the equity curve over the last N trades, where N is the number of trades enteredin the edit box on the Options tab of the Analysis Setup (or Portfolio Setup) window. In thiscase, the trades preceding the last N trades are randomly sampled with replacement to choose
N trades for each Monte Carlo sample. These trades are appended to the trades from thehistorical sequence prior to the last N trades to construct the full equity curve for each Monte
Carlo iteration. In other words, for each Monte Carlo iteration, the trades prior to the last N
trades are the same as the historical sequence, and the last N trades are chosen by samplingfrom the prior trades. This approach effectively extrapolates the equity curve -- projects it
forward -- over the last N trades, with each Monte Carlo iteration generating a different
possible curve over the last N trades. The result is illustrated below.
The green envelope shows the range of possible equity curves generated by the Monte Carloanalysis by sampling from the trades prior to the last N trades in the sequence. As with theother type of Monte Carlo analysis, this analysis generates three curves: the high confidence isthe user-chosen confidence level, the low confidence level is 100 minus the enteredconfidence level, and the middle curve represents 50% confidence (i.e., the median result).
The green envelope is the region between the high and low confidence bands.

56This envelope represents a prediction for the equity curve over the last N trades. The tradesthat actually took place are shown overlaid on the prediction envelope. By comparing theactual trades to the prediction envelope, this analysis can be used to determine if the trading
strategy or portfolio is still performing within expected bounds. For example, for an individual
market system, if the historical sequence of trades falls outside the lower boundary of theenvelope, the trading strategy may need to be re-optimized, or it may be prudent to stop
trading the strategy. Similarly, for a portfolio, if the equity curve falls outside the lower
boundary of the envelope, there may be a problem with one or more of the market systems in
the portfolio.

Options
There are two optional calculations that can be performed with the Monte Carlo Analysis. To
select these options, select Setup on the Analysis menu and go to the Options tab (or selectSetup on the Portfolio menu and go to the Settings tab). In the Monte Carlo Analysis section,
there are two check boxes for calculating the probability that the account equity will be x%
higher or lower after N trades. The number of Monte Carlo samples and the confidence level
for the Monte Carlo calculations are also selected in this section. Also see Chapter 14, Menu
Commands, Analysis Menu Commands, and Portfolio Menu Commands. The results
generated by a Monte Carlo analysis are described in Chapter 12, Viewing the Results.

Chapter 7
Parameter Studies
Overview
The Parameter Studies feature of Market System Analyzer (MSA) lets you see how theperformance statistics of your system or method vary with the position sizing parameters
available to you. For example, you can plot the rate of return versus the fixed fraction or the
average trade versus the number of contracts. This kind of analysis is sometimes referred to as
sensitivity analysis. It allows you to see how sensitive your results may be to changes in theposition sizing parameter values.
Sensitivity analysis is a useful complement to optimization, which is another feature of MSA.
While optimization tells you the best value of the position sizing parameter, it's also importantto check how sensitive the results are near the optimum. In general, you want to choose avalue where the sensitivity is low. This means that the curve should be relatively flat near the
optimum, so that values on either side of the optimum produce results close to the optimum.
Let's say for example that you use the optimization feature to find the delta value for fixedratio position sizing that maximizes the profit factor subject to keeping the drawdown to lessthan 30%. Perhaps the optimal delta that results from this optimization is $3200. You could
then bring up the parameter studies window and plot the delta vs. profit factor for delta values
in the range of say, 1000 to 5000. You would want to verify that values near 3200 also
produce good profit factors. If not, then 3200 may not be a good choice, and you could use theparameter studies plot to find a value where the curve is flatter and therefore less sensitive tothe delta value. You could also plot the drawdown vs. delta to make sure any value of delta
you chose did not exceed your drawdown limit of 30%.

Plotting a Curve
To use the Parameter Studies feature, select Parameter Studies from the Analysis menu.
Parameter Studies are only applicable to market systems, not portfolios. This command brings
up a window with a blank graph, as shown below. The graph will display some basic
instructions about how to create a plot. In general, you need to select the X and Y axis
parameters from the pull down menus near each axis.

58

The X (horizontal) axis pull down menu allows you to select from the following parameters:
Trade Size, Pos Value, Fixed Eqty Amount, Volatility (%), Fixed Fraction (%), Profit Risk(%), Delta (Fix Ratio), Delta (Gen Ratio), Margin (%), Leverage, % of Equity, and % of Max
DD. These choices correspond to the available position sizing methods that have adjustableparameters; namely, fixed size, constant value, fixed amount of equity, percent volatility,
fixed fractional, profit risk method, fixed ratio, generalized ratio, margin target, leveragetarget, percent of equity, and max drawdown method, respectively.
The Y (vertical) axis pull down menu provides the following choices: Net Profit, Rate of
Return, Ave Trade ($), Ave Trade (%), Profit Factor, RR-DD Ratio (return-drawdown ratio),
Mod Sharpe (modified Sharpe ratio), and Max % DD (maximum percentage drawdown).
These choices correspond to performance measures listed in the Performance Results window.
Once the X and Y axis choices are made, type in the minimum and maximum values for the X
parameter in the boxes labeled "Min X Value" and "Max X Value" near the X axis. The
program provides default values in these boxes based on the X parameter chosen, but a tighter
range is usually preferable. You can also optionally select the number of points to plot along
the curve; the default value is 50 points.
Lastly, you can choose whether to plot the curve using the current sequence of trades, as
shown in the main chart window, or using Monte Carlo analysis. If you choose Monte Carloanalysis, the performance measure on the Y axis will correspond to the performance measurelisted in the Monte Carlo Results window. For example, the rate of return will be the rate of
return at the confidence level selected for Monte Carlo analysis. Keep in mind that selecting
Monte Carlo analysis will slow down the calculation process considerably. If you choose thisoption, it would be prudent to select a relatively small number of data points (e.g., 10) the firsttime to see how long the process takes. In many cases, choosing Monte Carlo analysis will
provide smoother plots for the same number of points.

59

After the various inputs and options are selected, click on the button at the bottom of the chartlabeled "PLOT CURVE." The curve will be plotted as it calculates each point. The selections
made in the Parameter Studies window have no effect elsewhere in Market System Analyzer
and are not saved when the window is closed.

Chapter 8
Optimizing Position Sizing
Overview
The optimization feature of Market System Analyzer (MSA) enables you to find the optimal position
sizing parameter values for market systems and portfolios. You can maximize one of seven
performance metrics and add an optional constraint on the worst-case peak-to-valley drawdown. The
optimization can be performed over the current sequence of trades or using Monte Carlo analysis torandomize the trade sequence.

Optimization Objectives
The optimal position sizing results depend on the performance metric maximized during the
optimization. These are referred to as the optimization objectives. To see the choices
available, select Optimize Position Sizing from the Analysis menu (or the same commandfrom the Portfolio menu for optimizing a portfolio). This brings up the Optimize Position
Sizing window, as shown below.

The choices for the optimization objective appear in the top left section of the window,
labeled "Maximize…." The same objectives are available for optimizing portfolios. You canchoose to maximize the following performance measures: Net Profit, Rate of Return, Average
Trade, Average Trade (%), Profit Factor, Return-Drawdown Ratio, or Modified Sharpe Ratio.
In addition, the maximum peak-to-valley percentage drawdown can be limited to a specified
value; e.g., 20%. See Chapter 12, Viewing the Results, Performance Results, for a definitionof each performance measure when optimizing over the current sequence of trades. When61

optimizing using Monte Carlo analysis, see Chapter 12, Viewing the Results, Monte Carlo
Results, for a definition of each performance measure.
When optimizing a market system, the optimization process is applied to whichever position
sizing method is currently selected. Likewise, for portfolios, the optimization process applies
to the position sizing methods currently selected for each market system, as shown on the
Position Sizing window for the portfolio. Each market system may use a different position
sizing method if desired, and the portfolio can mix stocks and futures. The program will
search for the position sizing parameter value(s) that maximizes the chosen objective, subject
to the drawdown constraint, if selected. The following table lists the parameter that is
optimized for each position sizing method.
Position Sizing Method
Fixed size
Constant Value
Fixed amount of equity
Percent Volatility
Fixed risk (fixed fractional)
Profit risk method
Fixed ratio
Generalized ratio
Margin target
Leverage target
Percent of equity
Max drawdown method

Optimized Parameter
Number of shares/contracts/units
Position value
Amount per share/contract/unit
Percent of equity
Fixed fraction (risk percentage)
Percentage of profits risked
Delta
Delta
Margin as % of equity
Leverage
Value of position as % of equity
Percent of maximum drawdown

Notes to table:
1. For the profit risk method, only the percentage of profits is optimized. The percentage ofinitial account equity is unaffected by the optimization.
2. For the fixed ratio method, only the delta is optimized. The initial trade size and the delta
fraction are unaffected by the optimization.
3. For generalized ratio position sizing, only the delta parameter is optimized. The exponent
is not changed.
4. The following position sizing methods have no adjustable parameters and cannot be
optimized: None, Kelly formula, Optimal f, and Maximum possible.
While the optimization is ongoing, the top part of the Optimize Position Sizing window will
be dimmed, and the results will be displayed as they are generated in the bottom part of thewindow. The corresponding chart window will change to display the message “Optimizationin progress. Please wait…” To cancel the optimization without saving the results, click theCancel button at the bottom of the Optimize Position Sizing window. To cancel the
optimization while keeping the best results found up to that point, click the Cancel Save
button. After the optimization process is complete, the summary results will be displayed in
the bottom part of the Optimize Position Sizing window. The complete optimization results
can be displayed in a separate window by clicking the View Full Results button. Provided the
optimization is successful, the chart window will be recalculated to use the optimal parametervalue(s).

Options
There are several available options for optimizing position sizing. These options are available
on the upper part of the Optimize Position Sizing window, whether for market systems or
portfolios. One option is whether to optimize over all trades in the current sequence or using asliding window. This option is only available for market-system documents, not portfolios.

62

When optimizing over all trades, the optimization looks for the position sizing parametervalue that optimizes the objective over all trades in the current sequence. In other words, theoptimization objective is calculated based on the performance statistics generated from thetrades shown in the chart window. For example, if the optimization objective is rate of return,the optimization will try to maximize the rate of return calculated over all trades shown in thechart window.
The other choice is to optimize over a sliding window of trades. In this case, the user enters
the number of trades in the sliding window, and the optimization is repeated for each window
as it slides forward one trade at a time. For example, suppose there are 100 trades in thecurrent sequence, and the user enters a sliding window size of 50 trades. The first optimization
will be performed over trades 1 - 50. The optimization window then slides forward one trade,and the next optimization is over trades 2 - 51. The third optimization will be over trades 3 52, and so on until the last optimization is performed over trades 51 - 100.
In a sliding window optimization, an optimal result is obtained for each window. These
optimal position sizing parameter values can be used in plotting the main chart window by
selecting the Position Sizing Method tab in the Position Sizing window under the Analysis
menu. On the Source drop-down menu in the Parameters section, select the option “sliding
window opt, in-sample” or “sliding window opt, out-of-sample.” The former will cause thechart to be plotted using the optimal sliding window parameter values applied as optimized (insample). The latter choice will apply the parameter value optimized over trades n - m to trade
m+1. For example, the parameter value optimized over trades 1 - 50 will be applied to
calculate the number of contracts for trade 51. In this way, you can test the optimization
results "out of sample," without the benefit of hindsight. This is explained further in Chapter
14, Menu Commands, Analysis Menu Commands, Position Sizing Command.
Another option available for optimization is whether to optimize using the current sequence oftrades or Monte Carlo analysis. This option is available for either market systems or
portfolios. Selecting "Current sequence of trades" from the "Optimize using..." section of the
Optimize Position Sizing window instructs the program to perform the analysis calculations
using the current sequence of trades, as shown in the chart window. Alternatively, you canselect "Monte Carlo analysis" to instruct the program to perform the analysis calculations
using Monte Carlo analysis. In this case, the optimization objective will be calculated using
Monte Carlo analysis at the confidence level entered on the Setup window under the Options
tab (Settings tab for portfolios). For example, if a confidence level of 95% has been chosen forMonte Carlo analysis and the optimization objective is the rate of return, then the optimization
will use the rate of return at 95% confidence as the optimization objective.
There are two different search methods available for optimizing individual market systems.
The default method, which is called the adaptive search method, iteratively subdivides theinterval around the parameter being optimized until the optimal value is found. The alternative
method is called the exhaustive search method. This method divides the search interval into
evenly spaced values and evaluates every value within the interval. In almost all cases, theadaptive search method will be much faster than the exhaustive method. Consequently, theadaptive search method is recommended for most optimizations. The exception is when the
optimization is for the number of shares/contracts/units in fixed size position sizing. In thiscase, the adaptive search method may fail to find a solution or may take longer than theexhaustive search method.
For portfolios, there is only one search method. Optimizing a portfolio involves searching forthe best position sizing parameter values for all market systems simultaneously. An
exhaustive search technique would be prohibitively time-consuming in this case.

63

There is one option that is only available when optimizing a portfolio. The option labeled“Start optimization at…” allows you to set the starting point for the optimization at the current
position sizing values or at values chosen by the program. The former choice starts the
optimization at whichever values are currently selected for calculating the equity curve, as
displayed in the chart window. These values can be changed using the Position Sizing
command of the Portfolio menu. This is often a good choice if you believe the current position
sizing values are close to the optimum.
The latter choice (“Values chosen by program”) randomly selects the parameter value for eachmarket system. Several randomly chosen sets of parameter values are generated, and the set
that produces the highest value of the objective is selected as the starting point. Because not
all randomly generated values will yield positive results or meet the drawdown constraint (ifselected), some trials will be rejected. As a result, this process can be time-consuming. In
effect, the process of finding the starting point in this manner is an optimization by itself. The
benefit of this approach is that it can often yield results that are unexpected and often quite
different than starting from the current parameter values. In fact, if the results obtained bystarting at the current parameter values are not satisfactory, the recommended approach is toperform the optimization again starting at values chosen by the program.

Chapter 9
Trade Dependency
Overview
Trade dependency is the characteristic in which one trade depends on the previous trade. For
example, in some trading systems or methods, winning trades tend to follow other winning
trades, and losses tend to follow losses. This is known as positive dependency: wins follow
wins and losses follow losses. In negative dependency, wins tend to follow losses, and losses
tend to follow wins.
Market System Analyzer (MSA) uses a "runs test" to determine if there is any statisticallysignificant dependency in the current sequence of trades. A runs test determines if the runs ofwins and losses are significantly longer or shorter than can be expected if the trades occurredin random order. A "run" is simply a consecutive series of wins or losses. For example,
suppose the trade sequence consists of $500, $200, $300, $150, -$750, -$250, $350, $400, $500. This series of nine trades consists of two runs of wins and two runs of losses. The firstrun of wins is four trades in length, which is followed by a run of two losses. Following that isa run of two wins and finally a run of one loss.
The runs test is a specialized z test that takes the following form:

where r is the number of runs, W is the number of winning trades, L is the number of losing
trades, X = (2WL)/(W + L), and N is the total number of trades (N = W + L).
The critical value of the z statistic comes from the z, or normal, distribution. With 95%
confidence, for example, the critical value for a two-tailed test is 1.96. So, if the calculated z
statistic is greater than 1.96 or less than -1.96, we would conclude that the number of runs is
significant with 95% confidence. Positive values of z imply more runs than by chance;negative z values imply fewer runs than by chance.
If there are fewer runs than expected by chance, this implies the runs are longer than expected,
which implies positive dependency (wins follow wins; losses follow losses). If there are moreruns than by chance, this implies the runs are shorter than expected, which implies negative
dependency (wins follow losses and losses follow wins). If the dependency has a high degreeof significance (high confidence level) – e.g., 95% or greater – it may be worth exploiting.
Market System Analyzer allows you to set dependency rules in this case to exploit thedependency you find (see below).
MSA automatically performs a runs test to analyze trade dependency whenever the current
sequence of trades is analyzed. If the sliding window option has been selected in the Options
tab of the Analysis Setup window (or Settings tab of the Portfolio Setup window for
portfolios), then the runs test is also performed on a sliding window of trades. The results of
the runs test are displayed in the Dependency tab of the Performance Results window (Viewmenu).

65

Setting Dependency Rules
MSA enables you to set several different trade dependency rules, which alter the position size
either by skipping trades or by adding to or subtracting from the position. If a trade is skipped,
it will still appear in the chart window and in the Equity Table, but the position size will be
zero.
To apply one of the dependency rules, select Dependency Rules from the Analysis orPortfolio menu. This opens the Dependency Rules window, shown below for portfolios. The
same rules are available for individual market systems.

The dependency rules are grouped into three categories: basic rules, consecutive win rules,
and consecutive loss rules. The basic dependency rule choices are as follows: No dependency. All trades are included. This is the default.
 Positive Dependency: Skip trades after a loss until a skipped trade would have been awinner. This rule can improve trading performance if wins tend to follow wins and losses
tend to follow losses.
 Negative Dependency: Skip the next trade after a win; take the next trade after a loss.
This is intended to be used when wins tend to follow losses and losses tend to follow
wins.
The consecutive win rules are as follows: After X wins in a row, skip the next Y trades. Here, X and Y are entered by the user. This
rule is intended to be used in conjunction with the results of the dependency analysis,
which calculates the average length of runs of wins and losses. For example, if theaverage winning run is 3 trades, and average losing run is 2 trades, you might try skipping
the next two trades after three wins in a row.

66





After X wins in a row, increase/decrease position size by Y shares/contracts/units. In
addition to entering values for X and Y, the user selects either “increase” or “decrease.”
Select “increase” if the trading record indicates that wins occur in runs. Select “decrease”
if the trading system or method tends to produce losses after a run of wins. The change inposition size applies to the next trade only.
After X wins in a row, increase/decrease position size by Y%. This is a variation of thepreceding rule. For example, if fixed risk position sizing is currently selected, X is 4
trades, “increase” has been selected, and Y is 50, this rule would increase the position
size 50% (relative to the fixed fractional equation) after four consecutive winning trades.
The higher position size would apply to the next trade only. After that, the position size
would be calculated according the fixed fractional equation without any additional
increase.

The consecutive loss rules are as follows: After X losses in a row, skip the next Y trades. X and Y are entered by the user. As withthe analogous rule for consecutive wins, this rule can be tailored to the results of thedependency analysis. If, for example, there is positive dependency (meaning losses tend
to follow losses) and the average length of the losing runs is 4 trades, then you might try
skipping the next three trades after 1 loss in a row.
 After X losses in a row, increase/decrease position size by Y shares/contracts/units. In
addition to entering values for X and Y, the user selects either “increase” or “decrease.”
Select “decrease” if the trading record indicates that losses occur in runs. Select“increase” if the trading system or method tends to produce wins after a run of losses. Thechange in position size applies to the next trade only.
 After X losses in a row, increase/decrease position size by Y%. This is a variation of thepreceding rule. For example, if margin target position sizing is currently selected, X is 3
trades, “increase” has been selected, and Y is 50, this rule would increase the position
size 50% (relative to the standard margin target equation) after three consecutive losing
trades. The higher position size would apply to the next trade only. After that, the position
size would be calculated according to the standard margin target equation.
 After X losses in a row, add Y shares/contracts/units after each loss until a win. Subtract
after each win until a loss or back to baseline. This method was developed by Larry
Williams and described in his book “The Definitive Guide to Futures Trading, Volume
II,” Windsor Books, New York, 1989, pp. 187. The idea is that after a streak of losses,
you expect a winning trade, so you start increasing the position size after X losses in arow. If you continue to have losses, you increase the position size by Y after each loss. If
you get a win, you decrease the position size by Y. If you continue to get winners, you
keep subtracting Y from the position size until you get back to the baseline value of
position size. If a loss is encountered, you wait until X losses in a row before adding Y
shares/contracts/units. The baseline value of position size is the position size calculatedusing the currently selecting position sizing method without any other rules applied.
If either of the basic dependency rules is selected, no other rules can be selected. However, ifneither of the basic dependency rules is selected, one rule can be selected from each of theconsecutive win and consecutive loss rule categories, for a total of up to two dependency
rules. For example, you might select the rules “After 4 wins in a row, decrease the position
size by 100 shares” and “After 3 losses in a row, increase the position size by 100 shares.”
As shown in the figure above, the Dependency Rules window for portfolios includes an option
at the bottom of the window to deactivate all dependency rules in individual market systems.
Checking this box will turn off any dependency rules that have been selected in the individual
market systems comprising the portfolio. In this case, the only dependency rules that willaffect the portfolio trading results will be those selected for the portfolio. These rules are

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applied to the trade sequence for the portfolio, which includes all market systems taken
together. The trades in a portfolio are ordered according to their exit dates.

Chapter 10
Significance Testing
Market System Analyzer (MSA) includes a statistical test to help determine if a trading
system or method has an inherent edge. The test is a type of "significance" test called theStudent's t test, which is applied to the average trade for the current sequence of trades. The
test determines if the average trade is significantly greater than zero at a user specified
confidence level. For example, the test will determine if the average trade is greater than zero
with, say, 95% confidence.
To perform the test, you'll need to enter the number of rules and/or restrictions imposed byyour trading system or method. The number of rules and/or restrictions is used to calculate thenumber of "degrees-of-freedom," which is necessary to calculate the t value for the t test.
There needs to be a sufficient number of degrees of freedom to insure that the system is notover fit to the market. The number of degrees of freedom is the number of trades minus thenumber of restrictions. With too few trades, we can't be sure that the profitability of oursystem or method is not due to a chance arrangement of trades. The more trades we have, thegreater the number of degrees of freedom and the more confident we can be that our
calculated average profit is not a statistical fluke but a real number that is likely to hold up in
the future.
To count the number of restrictions, Thomas Hoffman (Babcock, Bruce. The Business One
Irwin Guide to Trading Systems. Richard D. Irwin, Inc. 1989, p. 89) suggests examining a
trading system's rules and counting any condition that would change the resulting trades. For
example, suppose you have a trading system that buys when today's close is less thanyesterday's close in an up trend. It defines an up trend as when a shorter moving average isgreater than a longer moving average. For simplicity, let's assume the sell side is the reverse,
and there are no stops. It's a simple stop and reverse system.
We would probably count the moving average cross over condition as three restrictions, one
for the condition itself, and one for each moving average period. The price pattern would be
another restriction for a total of four restrictions for the long side. We would then count four
more for the short side. This would give us eight restrictions in total. If we had, say, only eight
trades, there would be no degrees of freedom, and we shouldn't have any confidence in the
average trade number, even if it were very high. On the other hand, if we had 100 trades, wewould have 92 degrees of freedom, which would give us much more confidence in the
average trade number.
In MSA, the t test is expressed as a confidence interval for the average trade:
CI = t * SD/sqrt(N)where CI is the confidence interval around the average trade, t is the Student's t statistic, SD is
the standard deviation of the trades, N is the number of trades, and sqrt represents "squareroot." The t statistic is retrieved from a look-up table and depends on the number of degrees of
freedom and the user-chosen confidence level.

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The confidence interval means that the average trade is likely to lie between T - CI and T +CI. For the system to be profitable at our specified confidence level, we want the average
trade, T, to be greater than zero at the lower bound, T - CI; i.e.,
T > CI.
If this condition is true at the specified confidence level, it means that the system or method isinherently profitable subject to the assumptions of the test. One of these assumptions is thatthe statistical properties of the trades remain the same. Specifically, if the average trade and its
standard deviation remain the same in the future, the results will continue to be valid.
However, as markets change and evolve over time, the properties of the statistical distributionof trades may change as well, so caution is warranted in interpreting the results.
Note: The significance test performed in MSA assumes the strategy in question is from asingle evaluation. If the strategy was arrived at by evaluating multiple candidates, such as
optimizing the strategy inputs and selecting the best result, then a different, stricter test would
be required.
MSA performs the statistical significance (t) test automatically whenever the current sequenceof trades is analyzed. The test is performed for both market-system and portfolio documents.
The number of rules and/or restrictions imposed by the trading system or method and theconfidence limit for the average trade calculation are entered on the Setup window (Analysis
menu, Options tab, for market systems or Portfolio menu, Settings tab, for portfolios). The
results of the significance test are displayed in the Significance Test tab of the Performance
Results window (View menu). The results include the average trade at the specified
confidence level (average trade +/- confidence intervals), the worst-case trade at the specified
confidence, and the probability that the average trade is greater than zero. See Chapter 12,
Viewing the Results, Significance Test Results for a detailed description of the test results.

Chapter 11
Correlation Analysis
Market System Analyzer (MSA) automatically performs a correlation analysis on portfolio
documents. The correlation between each pair of market systems is calculated whenever thecurrent sequence of trades is analyzed by the program. The correlation analysis is based on thefollowing equation for the linear correlation coefficient:where x and y represent arrays of equity values for the two market systems for which thecoefficient is calculated, and x and y are the averages of x and y, respectively.
To evaluate this equation, MSA uses the equity curve for each market system as it contributes
to the portfolio equity curve displayed in the chart window. The equity curves for theindividual market systems can be directly viewed in the portfolio chart window using theEquity Curve Selection command of the View menu.
The equity array for each market system consists of a fixed number of points, equallydistributed along the date axis of each market system. The array is restricted to dates that arecommon to each market system in the pair; i.e., only points for which the curves overlap areused in the calculation. The equity values in the array are interpolated from the nearest values
on the curve.
The correlation coefficient lies in the range -1 to +1. Values less than zero indicate negative
correlation, which means that when the equity curve from one market system is increasing, theequity curve from the other market system tends to be decreasing. Similarly, positive
correlation (correlation coefficients greater than zero) indicate that the two equity curves
move more or less together. A correlation coefficient of zero implies the two market systems
are uncorrelated.
The closer the coefficient is to -1 or +1, the stronger the correlation. A market system withstrong negative correlation to another market system is particularly valuable, especially if themarket system is profitable overall. This means that when one system is losing money, theother one is making money, which can offset the losses from the other system. This results ina smoother equity curve and therefore better risk-adjusted returns.
In fact, even a market system that loses money can improve the overall results of a portfolio if
it has a strong negative correlation to another market system in the portfolio. This is because
when the two equity curves are combined in the portfolio, the overall risk of the portfolio will
be reduced as profits from one market system offset losses from the other. With less risk, theposition size can be increased, which leads to greater returns.
The results of the correlation analysis are displayed in a correlation table, which is included in
the Performance Results window; see Chapter 12, Viewing the Results. The correlation tabledisplays the correlation coefficient for each pair of market systems in the portfolio.

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The correlation table can be used to assess the mix of market systems in a portfolio. Ideally,
one would want negative correlation coefficients between all market-system pairs. The market
systems in such a portfolio would tend to offset each other’s losses, which would produce thebest risk-adjusted returns. By contrast, if two market systems are highly correlated (positive
correlation coefficient close to 1), their profits and losses will tend to coincide, which means
there’s little benefit in including both market systems in the same portfolio.
Note that the correlation analysis requires that the market systems comprising the portfolio
have exit dates for all trades. If the program is unable to compute the correlation coefficient,
the symbol “NA” will appear in the table in place of the coefficient values.

Chapter 12
Viewing the Results
Equity Table
The Equity Table lists the trade-by-trade results of the equity curve simulation, as depicted in
the chart window. Specifically, the Equity Table lists the symbol, trade type (regular, cost/fee,or add/withdrawal), entry and exit dates of each trade, the profit/loss on a pershare/contract/unit basis, the risk of the trade, if any, the position sizing parameter value, theposition size (shares, contracts or units), trading costs (commission and fees), the profit/loss
for the position (trade profit/loss per share/contract/unit times the number ofshares/contracts/units less any commission and slippage costs), required margin, drawdown(amount and percentage), and the current account equity. For a portfolio, the Equity Table
also includes a column for the market-system number (“Mark-Sys”).
The Equity Table can be sorted by any column by clicking once on the column heading. Clickagain on the heading to reverse the sorting order.
If desired, the equity table contents can be exported to a text file using the Save to Filecommand of the File menu located on the menu bar of the Equity Table window. The table
can also be copied to the clipboard using the Copy command of the Edit menu or printed
using the File menu Print command.

To view the Equity Table, select Equity Table from the View menu. Unlike most otherwindows in MSA, the Equity Table can be kept on the screen while you work elsewhere in the
program. Any changes to the data or analysis settings will be reflected in the Equity Table
while it's open, just as they are in the chart window.

Performance Results
The Performance Results window displays all performance results for the current sequence oftrades, as displayed in the chart window. Tabs along the top of the window are used toorganize the results by category. The Performance Results window for a portfolio document isshown below. This window differs from the Performance Results window for a market-system
document only in that the portfolio window includes a tab for the correlation table, which is
not applicable to individual market systems.

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To view the Performance Results window, select the Performance Results command fromthe View menu or double-click or right-click in the right-hand pane of the main window. The
results are grouped into the following tabs:
Settings Tab
The Settings tab lists the basic settings on which the analysis is based. For market-system
documents, these settings consist of the account settings, data input settings, and position
sizing settings and rules. For portfolios, the settings include the portfolio starting accountequity, the list of market systems comprising the portfolio, and the position sizing settings andrules currently in effect.
The following settings are listed for market-system documents:
Initial Account Equity: The starting account size in currency units (e.g., dollars) entered in
Setup.
Trading Vehicle: Either Futures or Stocks, as selected in Setup.
Slippage: The amount to deduct from each trade to account for the difference between theordered price and the actual fill price. Entered in Setup.
Commissions and fees: The amount to deduct from each trade to account for trading costs.
Entered in Setup.
Profit/loss calculation: Either “Profit/loss and risk calculated from P/L and risk inputs” or“Profit/loss and risk calculated from price data input” depending on the selection on the Input
Data tab of the Analysis Setup window.

74

Profit/loss input data include slippage/commissions/fees: This option is displayed if
selected in Setup.
Entry and exit prices include slippage: This option is displayed if selected in Setup.
Trades file: The name of the file of trade data listed under Data Source (Trades menu).
Position Sizing Method: The name of the position sizing method chosen via the Position
Sizing command (Analysis menu).
Position sizing parameter value: The value of the position sizing parameter via the Position
Sizing command (Analysis menu) or calculated via optimization.
Trade N shares/contracts/units until equity reaches X$: This option is displayed if selected
in Setup.
No skipped trades. Trade at least N shares/contracts/units: This option is displayed if
selected in Setup.
Trade in units of N shares/contracts: This option is displayed if selected in Setup.
Any selected dependency or equity curve crossover rules are also listed under this tab.
When viewing the performance results for a portfolio, refer to the individual market-system
reports for costs, margins, fees, and position sizing rules, other than the position sizing
methods, specific to each market system.
Summary Tab
This tab lists the performance statistics generated over the entire trading period, as reflected in
the chart window. The results are listed for all trades, for long trades only, and for short trades
only. The following performance statistics are listed under this tab:
Gross Profit: The sum of the winning trades.
Gross Loss: The sum of the losing trades.
Total Net Profit: Gross profit plus gross loss (where gross loss is a negative number).
Profit Factor: Gross profit divided by the absolute value of gross loss. Profit factors of 1.5 ormore suggest a strong system. A trading system or method with a low profit factor could
become unprofitable with just a slight change in market dynamics.
Pessimistic Return Ratio: Similar to profit factor, but discounted by the number of trades. As
the number of trades approaches infinity, the pessimistic return ratio approaches the profit
factor. See Vince, Ralph. "Portfolio Management Formulas," John Wiley & Sons, New York,
1990, p. 46.
Trading Period: The time period over which trading occurred, spanning the first trade
displayed in the equity curve to the last trade shown.
Highest Closed Trade Equity: The greatest value of account equity on a closed trade basis
over all trades in the current sequence.
Lowest Closed Trade Equity: The lowest value of account equity on a closed trade basis
over all trades in the current sequence.
Additions to Equity: Total value of all additions to account equity during the trading period.
Withdrawals from Equity: Total value of withdrawals from account equity during the
trading period.
Final Account Equity: Value of account equity on the last trade, as shown on the equity
curve in the chart window.

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Return on Starting Equity: Percentage change in account equity from the first to last traderelative to the initial account equity.
Number of Trades: Total number of trades, excluding those with zero numbers ofshares/contracts.
Number of Winning Trades: Total number of trades with a profit/loss greater than zero.
Number of Losing Trades: Total number of trades with a profit/loss less than or equal tozero.
Percent Profitable: The winning trades expressed as a percentage of the total number of
trades.
Max Number of Shares/Contracts: Largest number of shares/contracts for any one trade.
Minimum Number of Shares/Contracts: Smallest number of shares/contracts of any trade,
excluding trades with zero shares/contracts.
Average Number of Shares/Contracts: Average number of shares/contracts per trade,
excluding trades with zero shares/contracts.
Largest Winning Trade: Largest winning trade, where the winners are expressed in currency
units. On the next line, the value of this trade expressed as a percentage of account equity at
the time the trade was taken is shown.
Largest Winning Trade (%): Largest winning trade, where each winner is expressed as apercentage of account equity at the time the trade was taken. On the next line, the value of thistrade in currency units is shown.
Average Winning Trade: Average of the winning trades, where the winners are expressed incurrency units.
Average Winning Trade (%): Average of the winning trades, where each winner isexpressed as a percentage of account equity at the time the trade was taken.
Average R-Multiples, Wins: The R-multiple is the trade profit/loss divided by the risk of the
trade, including trading costs. See Tharp, Van K. “Trade Your Way to Financial Freedom,”
2nd ed., McGraw-Hill, New York, 2007. This metric is the average of the R-multiples forwinning trades.
Average Length of Wins: Average duration of winning trades in days, hours, minutes,
seconds.
Max Number Consecutive Wins: Largest number of winning trades in a row.
Largest Losing Trade: Largest losing trade, where the losses are expressed in currency units(e.g. dollars). On the next line, the value of this trade expressed as a percentage of accountequity at the time the trade was taken is shown.
Largest Losing Trade (%): Largest losing trade, where each loss is expressed as apercentage of account equity at the time the trade was taken. On the next line, the value of thistrade in currency units is shown.
Average Losing Trade: Average of the losing trades, where the losses are expressed incurrency units.
Average Losing Trade (%): Average of the losing trades, where each loss is expressed as apercentage of account equity at the time the trade was taken.
Average R-Multiples, Losses: The R-multiple is the trade profit/loss divided by the risk ofthe trade, including trading costs. See Tharp, Van K. “Trade Your Way to Financial

76

Freedom,” 2nd ed., McGraw-Hill, New York, 2007. This metric is the average of the Rmultiples for losing trades.
Average Length of Losses: Average duration of losing trades in days, hours, minutes,
seconds.
Max Number Consecutive Losses: Largest number of losing trades in a row.
Average Trade (Expectation): Average of all trades, where the trades are expressed incurrency units. This is also known as the expectation.
Average Trade (%): Average of all trades, where each trade is expressed as a percentage ofaccount equity at the time the trade was taken.
Trade Standard Deviation: Standard deviation of the trades, where the trades are expressedin currency units. The standard deviation is a measure of variability or dispersion. 68% ofnormally distributed values are within one standard deviation of the average. 99.7% are within
three standard deviations of the average.
Trade Standard Deviation (%): Standard deviation of the trades, where each trade isexpressed as a percentage of account equity at the time the trade was taken.
Win/Loss Ratio: Ratio of average winning trade to average losing trade, where the trades are
expressed in currency units.
Win/Loss Ratio (%/%): Ratio of average winning trade to average losing trade, where eachtrade is expressed as a percentage of account equity at the time the trade was taken.
Return/Drawdown Ratio: Return on starting equity divided by the maximum percentage
peak-to-valley closed trade drawdown.
Modified Sharpe Ratio: Average of all trades, where each trade is expressed as a percentageof account equity, divided by the standard deviation of the trades in percent. The modified
Sharpe ratio is a measure of risk adjusted return. Higher Sharpe ratios are better.
Sharpe Ratio: Average monthly return minus the risk-free interest rate, all divided by thestandard deviation of the monthly returns. The risk-free interest rate is the monthly rate ofinterest, as entered on the Options tab of the Setup window (Settings tab of the Portfolio Setup
window for portfolios). This is a classic measure of risk-adjusted return. Higher values are
better.
Average risk: Average of position risks for all trades. The position risk is the risk per
contract/share multiplied by the number of contracts/shares for the position. The average risk
includes trading costs for the position.
Average Risk (%): Average position risk where the risk of each position is expressed as apercentage of account equity at the time the trade is taken.
Average R-Multiple (Expectancy): The R-multiple is the trade profit/loss divided by the riskof the trade, including trading costs. See Tharp, Van K. “Trade Your Way to Financial
Freedom,” 2nd ed., McGraw-Hill, New York, 2007. This metric is the average of the Rmultiples for all trades, both wins and losses. Tharp refers to this as the expectancy.
R-Mulitple Standard Deviation: Standard deviation of R-multiples over all trades, both wins
and losses.
Average Margin: Average value of total margin required at each trade. This might include
margin from multiple trades if two or more trades are open at the same time.
Average Margin (%): Average of margin values, where each value is expressed as apercentage of the account equity at the time the trade was taken.

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Max Margin (%)/Margin Value: Maximum value of margin requirement, where the margin
is expressed as a percentage of the account equity at the time the trade was taken. The marginvalue in currency units (e.g., dollars) corresponding to the maximum percentage values is also
listed.
Date of Max Margin: Date at which max margin (%) value occurs.
Average Leverage: Average value of leverage over all positions. Leverage is defined as the
position value divided by the account equity.
Risk of Ruin: Probability of account depletion. See Vince, Ralph. "Portfolio Management
Formulas," John Wiley & Sons, New York, 1990, p. 136, equation R3. The equation for riskof ruin assumes (1) unequal wins and losses, (2) a fixed number of contracts/shares per trade,and (3) ruin is defined as 100% account depletion.
Average Annual Profit/loss: Average of all yearly profits (losses), including partial years.
Ave Annual Compounded Return: Average annual rate of return assuming annualcompounding.
Average Monthly Profit/loss: Average of all monthly profits (losses), including partial
months.
Ave Monthly Compounded Return: Average monthly rate of return assuming monthly
compounding.
Average Weekly Profit/loss: Average of all weekly profits (losses), including partial weeks.
Ave Weekly Compounded Return: Average weekly rate of return assuming weekly
compounding.
Average Daily Profit/loss: Average of all daily profits (losses).
Ave Daily Compounded Return: Average daily rate of return assuming daily compounding.
In Market System Analyzer, drawdown is defined as a decline from the highest prior peak inclosed trade equity. The drawdown is measured from the highest prior peak to the lowest
closed trade equity value.
Number of Closed Trade Drawdowns: This is the total number of drawdowns over thecurrent sequence of trades, as shown in the chart window.
Average Drawdown: Average value of the drawdowns expressed in currency units (e.g.,
dollars).
Average Drawdown (%): Average value of the drawdowns expressed as percentage declines
from the prior highest peak in equity.
Average Length of Drawdowns: Average duration of drawdowns.
Average Trades in Drawdowns: Average number of trades from the start of a drawdown
until the first trade that makes a new equity high.
Worst-case Drawdown: Largest drawdown, where the drawdowns are expressed in currency
units. On the next line, the value of this drawdown expressed as a percentage decline from theprior peak in equity is shown.
Date at Trough: The date of the trade at the lowest equity point during the worst-casedrawdown.
Trade Number at Trough: The number of the trade at the lowest equity point during the
Worst-case drawdown. The trade number corresponds to that shown on the equity curve.

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Length of Drawdown: Duration of worst-case drawdown, from the start of the drawdown to
the trade that makes a new equity high.
Trades in Drawdown: The number of trades from the start of the worst-case drawdown until
the trade the makes a new equity high.
Worst-case Drawdown (%): Largest value of the drawdowns expressed as percentage
declines from the prior highest peak in equity. On the next line, the value of this drawdown incurrency units is shown.
Date at Trough: The date of the trade at the lowest equity point during the worst-casepercentage drawdown.
Trade Number at Trough: The number of the trade at the lowest equity point during the
Worst-case % drawdown. The trade number corresponds to that shown on the equity curve.
Length of Drawdown: Duration of worst-case percentage drawdown, from the start of thedrawdown to the trade that makes a new equity high.
Trades in Drawdown: The number of trades from the start of the worst-case percentage
drawdown until the trade that makes a new equity high.
Longest Drawdown: Duration of longest drawdown, from the first trade in the drawdown to
the trade that makes a new equity high.
Start of Drawdown: Date of trade that marks the start of the longest drawdown.
End of Drawdown: Date of trade that marks the end of the longest drawdown.
Percent of Equity: Depth of longest drawdown, expressed as a percentage decline from theprior equity peak.
Return Tables Tab
The Return Tables tab lists the annual, monthly, weekly, and daily returns in tabular form.
Each table includes columns for the period (year, month, week, or day), net profit, net
additions/withdrawals during the period, ending equity, percentage return, percentage
drawdown, number of trades, percentage of winning trades, and profit factor. The table ofannual results also includes a column for the Sharpe ratio. Because the Sharpe ratio is
calculated from monthly returns, it’s only applicable to the annual table. The last two rows ineach table are highlighted in bold text. These are the average and standard deviation,
respectively, of the elements in the corresponding columns.
Dependency Tab
The results from the dependency analysis, as determined from a statistical runs test (seeChapter 9, Trade Dependency), are displayed in this tab. The top section of this tab displays
the results of the runs test applied to all trades in the current sequence. The dependency
identified from the runs test is listed as either Positive or Negative. Positive dependency
means that wins tend to follow wins and losses tend to follow losses. Negative dependency
means that wins tend to follow losses and losses tend to follow wins. The confidence level forthe stated dependency is listed as a percentage. The higher the number, the more significant
the dependency. A confidence level of 95% or greater may be considered significant.
The total number of runs is listed next. This is the sum of the number of runs of wins and thenumber of runs of losses. A run is simply a consecutive series of trades, including series of
one trade. The average length of the winning and losing runs is also listed in this section.
The bottom section lists the results for the sliding window runs test, if selected in the Options
tab of the Setup command in the Analysis Menu (Settings tab of the Setup command for79

portfolios). The sliding window runs test repeats the runs test over each sliding window. For
each window, the following results are listed: window number, trades comprising the window,
dependency (Positive/Negative), and confidence level (%).
The dependency results can be used as a guide in setting the dependency rules, as explained in
Chapter 9, Trade Dependency, Setting Dependency Rules.
Significance Test Tab
The significance test results are displayed in this tab. See Chapter 10, Significance Testing,for a discussion of the significance test.
The window lists the number of trades and the number of degrees of freedom for the current
sequence of trades. Below that, the average trade is listed with confidence intervals calculated
at the confidence level selected by the user. For example, if the average trade is $300 and theconfidence interval at 95% confidence is +/- $250, then the average trade should lie between$50 (300 -25) and $550 (300 + 250) with 95% confidence. The average trade in this case will
be shown as $300 +/- 250. The worst-case average trade at the specified confidence level isthen shown. This is the average trade minus the confidence level. In this example, the worstcase average trade at 95% confidence would be $50; i.e., the average trade of $300 minus theconfidence interval value of $250.
The probability that the average trade is greater than zero is also calculated and displayed in
the tab. Provided the trade distribution stays the same in the future, this is the probability thatthe system or trading method will be profitable in the future. Finally, if the worst-case average
trade at the specified confidence level is less than zero, the following message is displayed:"System/method may not be profitable at specified confidence level." Given the confidence
level and trade distribution, this indicates that there are too few degrees of freedom (too few
trades or too many restrictions) to be confident in the results. On the other hand, if the worstcase average trade at the specified confidence level is greater than zero, the following message
is displayed: "Trades pass statistical significance test at specified confidence level." In thiscase, provided the trade distribution stays the same in the future, the probability that thesystem or trading method will be profitable in the future is at least as great as the specified
confidence level.
Correlation Table Tab (portfolios only)
The Correlation Table tab displays the results of the correlation analysis, which is explained in
Chapter 11, Correlation Analysis. The correlation table displays the correlation coefficient foreach pair of market systems in a portfolio. The correlation coefficient indicates how closely
the equity curves correspond. The correlation coefficient can vary between -1 and +1. A
negative value (negative correlation) indicates that the market systems tend to move in
opposite direction; when one is winning the other is losing, and vice-versa. A positive value(positive correlation) indicates that the market systems tend to move together so that wins andlosses tend to coincide. A coefficient of zero implies no correlation. A value of “NA” means
the program was unable to calculate the coefficient. This typically happens when dates areunavailable for all trades.

The Performance Results window can be kept on the screen while you work elsewhere in the
program. Any changes to the data or analysis settings will be reflected in the Performance
Results window while it's open, just as they are in the chart window.
The contents of the Performance Results window can be exported to a text file using the Save
to File command of the File menu located on the Performance Results menu bar. The results
can also be copied to the clipboard using the Copy command of the Edit menu or printed

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using the File menu Print command. When saving, copying, or printing, the entire
performance report is sent, including all tabs.

Monte Carlo Results
The Monte Carlo Results window displays the results from the most recent Monte Carloanalysis. This window will be opened immediately after the Monte Carlo Analysis isperformed via the Analysis menu (Portfolio menu for portfolios) or it can be opened directlyfrom the View menu by selecting the Monte Carlo Results command.

If the trade data or analysis settings have been changed since the last Monte Carlo analysis
was performed, this item will be dimmed in the View menu, and the Monte Carlo analysis
must be performed again to view the results. The Monte Carlo Results window is divided into
three sections:
Trading Parameters
The Trading Parameters section contains all the analysis settings for the current sequence oftrades, as described above for the Settings section of the Performance Results window. Thissection also lists the number of Monte Carlo samples used in the analysis.
Key Results at Select Confidence Levels
This section is intended to show how specific results vary with the confidence level. The
following results are tabulated for confidence levels ranging from 50% to 100%: rate of

81

return, maximum percentage peak-to-valley drawdown, return/drawdown ratio, and themodified Sharpe ratio.
Monte Carlo Results at X% ConfidenceThis is the main results section, which displays the results at the confidence level entered by
the user on the Options tab of the Analysis Setup window (Settings tab of the Setup window
for portfolios); e.g., X% = 95%. This section lists the following results (For an explanation of
how the performance statistics listed below are calculated for a given sequence of trades, see
the previous section, Performance Results.):
Total Net Profit: Net profit such that X% of the Monte Carlo samples had net profits of atleast this much.
Final Account Equity: Final equity amount such that X% of the Monte Carlo samples had
final equities of at least this much.
Return on Starting Equity: Rate of return such that X% of the Monte Carlo samples had
returns of at least this much.
Profit Factor: Profit factor such that X% of the Monte Carlo samples had profit factors of atleast this much.
Max Number of Shares/Contracts: Value of the maximum number of shares/contracts
statistic such that X% of the Monte Carlo samples had a maximum number of shares/contracts
of at least this much.
Minimum Number of Shares/Contracts: Value of the minimum number of shares/contracts
statistic such that X% of the Monte Carlo samples had a minimum number of shares/contracts
of at least this much.
Average Number of Shares/Contracts: Value of the average number of shares/contracts
statistic such that X% of the Monte Carlo samples had an average number of shares/contracts
of at least this much.
Largest Winning Trade: Value of the largest winning trade such that X% of the Monte Carlosamples had a largest winning trade of at least this much.
Largest Winning Trade (%): Value of the largest winning trade, expressed as a percentageof trading equity at the time the trade was taken, such that X% of the Monte Carlo samples
had a largest winning trade of at least this much.
Average Winning Trade: Value of the average winning trade such that X% of the Monte
Carlo samples had an average winning trade of at least this much.
Average Winning Trade (%): Value of the average winning trade, where each trade isexpressed as a percentage of trading equity at the time the trade was taken, such that X% of
the Monte Carlo samples had an average winning trade of at least this much.
Largest Losing Trade: Value of the largest losing trade such that X% of the Monte Carlosamples had a largest losing trade less than this in absolute value.
Largest Losing Trade (%): Value of the largest losing trade, expressed as a percentage of
trading equity at the time the trade was taken, such that X% of the Monte Carlo samples had alargest losing trade less than this in absolute value.
Average Losing Trade: Value of the average losing trade such that X% of the Monte Carlosamples had an average losing trade less than this in absolute value.
Average Losing Trade (%): Value of the average losing trade, where each trade is expressed
as a percentage of trading equity at the time the trade was taken, such that X% of the Monte
Carlo samples had an average losing trade less than this in absolute value.

82

Average Trade: Value of the average trade such that X% of the Monte Carlo samples had an
average trade of at least this much.
Average Trade (%): Value of the average trade, where each trade is expressed as apercentage of trading equity at the time the trade was taken, such that X% of the Monte Carlosamples had an average trade of at least this much.
Trade Standard Deviation: Standard deviation of the trades, such that X% of the Monte
Carlo samples had a standard deviation less than this.
Trade Standard Deviation (%): Standard deviation of the percentage trades such that X% of
the Monte Carlo samples had a standard deviation less than this.
Win/Loss Ratio: Value of the win/loss ratio such that X% of the Monte Carlo samples had awin/loss ratio of at least this much.
Win/Loss Ratio (%/%): Value of the win/loss ratio (%/%) such that X% of the Monte Carlosamples had a win/loss ratio of at least this much.
Max Consecutive Wins: Maximum number of consecutive wins such that X% of the Monte
Carlo samples had at least this many consecutive wins.
Max Consecutive Losses: Maximum number of consecutive losses such that X% of theMonte Carlo samples had no more than this many consecutive losses.
Worst-case Drawdown: Value of the maximum peak-to-valley closed trade drawdown inequity such that X% of the Monte Carlo samples had a worst-case drawdown less than this inabsolute value.
Worst-case Drawdown (%): Value of the maximum peak-to-valley closed trade drawdown
expressed as a percentage decline from the prior highest peak in equity such that X% of theMonte Carlo samples had a worst-case drawdown less than this.
Average Drawdown: Value of the average closed trade drawdown such that X% of theMonte Carlo samples had an average drawdown less than this in absolute value.
Average Drawdown (%): Value of the average closed trade drawdown expressed as apercentage decline from the prior highest peak in equity such that X% of the Monte Carlosamples had an average drawdown less than this.
Return/Drawdown Ratio: Value of the return/drawdown ratio such that X% of the Monte
Carlo samples had a return/drawdown ratio of at least this much.
Modified Sharpe Ratio: Value of the modified Sharpe ratio such that X% of the Monte Carlosamples had a modified Sharpe ratio of at least this much.
The contents of the Monte Carlo Results window can be exported to a text file using the Save
to File command of the File menu located on the menu bar of the Monte Carlo Results
window. The results can also be copied to the clipboard using the Copy command of the Editmenu or printed using the File menu Print command.

Optimization Results
The Optimization Results window, as shown below, displays the results of the position sizing
optimization. This window can be opened after the optimization is performed via the
Optimize Position Sizing command or it can be opened directly from the View menu byselecting the Optimization Results command. For market-system documents, MSA stores themost recent optimization results for each position sizing method. If no optimization has been
performed for the currently selected position sizing method, this item will be dimmed in the83

View menu. Selecting a position sizing method for which an optimization was previously
performed for the current sequence of trades will make this item available on the View menu.

For portfolios, the results of the most recent portfolio optimization are stored and can beviewed using the Optimization Results command, regardless of whether the analysis settings
have been subsequently changed. If the settings have been changed since the last optimization,
the portfolio should be re-optimized to reflect the new settings. If no optimization has yet been
performed for the portfolio, this command will be dimmed in the View menu.
For market-system documents, the Optimization Results window consists of two sections. The
first section, entitled "Optimal Results Over All Trades," is for the optimization performed
over all trades. If this optimization has not been performed for the currently selected position
sizing method, this section will not appear. If present, this section consists of two parts,
ANALYSIS SETTINGS, and RESULTS. Under ANALYSIS SETTINGS, all analysis options
selected at the time the optimization was performed are listed, including the optimization
objective, drawdown constraint, if selected, initial account equity, whether or not the
optimization was performed using Monte Carlo analysis, and so on.
Following the ANALYSIS SETTINGS, the RESULTS section lists the following
optimization results: optimal value of the position sizing variable, optimization objective (e.g.,rate of return, net profit, average trade, etc.) at the optimum, and the maximum closed trade
percentage peak-to-valley drawdown at the optimum. To see a complete list of performancestatistics at the optimum, select Performance Results from the View menu.

84

The second section in the Optimization Results window is entitled "Optimal Results for
Sliding Windows." If an optimization was performed using the sliding windows option for thecurrently selected position sizing method, the results of that optimization will appear in thissection. If a sliding window optimization was not performed for the currently selected position
sizing method and current sequence of trades, this section will not be shown. The ANALYSISSETTINGS part of this section lists all analysis settings in effect at the time the optimization
was performed and all optimization choices made for the sliding window optimization.
The RESULTS section presents the optimal results for each sliding window in tabular form.
The table consists of the following columns: window number, trade range, optimal value ofthe position sizing parameter, value of the optimization objective at the optimum, and the
maximum closed trade percentage peak-to-valley drawdown at the optimum. Each line in thetable corresponds to a single optimization, performed over the trades listed under the Trades
column.
The trade numbers in the Trades column refer to the order of the trades present when the
optimization was performed. If the sequence of trades was subsequently randomized using theRandomize Trade Order command of the View menu (or the Randomize button on the
toolbar), the current sequence may consist of a different ordering of the trades than waspresent at the time of optimization. However, if the trade order is changed subsequent to asliding window optimization, the optimal position sizing parameter values move with thetrades. For example, if the optimal fixed fraction for trade number 16 is 0.042 following thesliding window optimization, and the trade order is randomized so that trade 16 becomes trade61, then the optimal fixed fraction for trade 61 will be 0.042. This is done so that a Monte
Carlo analysis performed with sliding window-derived parameter values will be moremeaningful.
For portfolio documents, the Optimization Results window is as shown below. It consists ofan Analysis Settings section and an Optimization Results section. The settings section lists all
analysis options selected at the time the optimization was performed, including the
optimization objective, drawdown constraint, if selected, initial account equity, whether or not
the optimization was performed using Monte Carlo analysis, and so on.

85

The Optimization Results section displays the optimization objective (e.g., rate of return, net
profit, average trade, etc.) at the optimum and the maximum closed trade percentage peak-tovalley drawdown at the optimum. This section also displays a table listing the optimal value ofthe position sizing variable for each market system, along with the market-system number(“MS”), the market-system description, and the position sizing method selected for the market
system at the time the optimization was performed.
The contents of the Optimization Results window can be exported to a text file using the Save
to File command of the File menu located on the menu bar of the results window. The results
can also be copied to the clipboard using the Copy command of the Edit menu or printed
using the File menu Print command.

Chapter 13
Working with MSA Files
Overview
Market System Analyzer (MSA) creates and reads files with the extensions .msa and .msaport.
(MSA can also read older portfolio files with the extension .msp, although it’s recommended
that these older portfolio files be saved with the new .msaport extension to avoid conflicts
with Windows installer files that also share the .msp extension.) Files of type .msa store thesettings for a single market system. Files of type .msaport store the settings for a portfolio.
Because portfolios in MSA consist of multiple market systems, .msaport files also contain thefile names of the .msa files comprising the portfolio. The trade data for a market system isstored in a separate trades file, which can be any text file with a format that MSA can read.
The name of the trades file, as shown in the Data Source command (Trades menu), is stored
in the .msa file.
The commands for working with MSA files are the New, Open, Close, Save, and Save As
commands, which are found on the File menu. Although text files of trades can be read into
MSA (provided their contents are in the proper format) using the Open command, the other
File menu commands only apply to files of type .msa and .msaport. When a .msa or .msaportfile is opened or saved in MSA, the name of the file will be displayed in the title bar of the
document window. The .msa and .msaport files are in binary format and can only be read by
the MSA program.
When a market-system document is saved and the trades file has not been specified under
Data Source, MSA will prompt you to enter a name for the trades file. In this case, MSA
creates a default name of the form MSATrades_mmddyyhhmmss_rnd.csv, where mmddyy
represents the month, day and year, hhmmss represents the current hours, minutes andseconds, and rnd is a three-digit random number. You can either accept this default name orenter a different name.
Previously created .msa and .msaport files can be opened outside of MSA by double-clicking
on the file name or within MSA by using the Open command of the File menu. Multiple filesof either type can be opened simultaneously in MSA. The File menu lists the 10 most recently
opened files. To open a file on this list, simply select it from the list.
Current versions of MSA can read prior versions’ files, such as version 1 or version 2 .msa
files. However, once the document is saved from within the current version, the file will nolonger be readable by the older version of MSA that originally created it. For example, if you
save a version 2 .msa file within version 3, it will become a version 3 file, and version 2 will
no longer be able to read it.

Saving Analysis Reports
MSA allows you to save most analysis results to a text file. Most windows in MSA that
display analysis results contain a File menu with a "Save to File..." command. Selecting thiscommand opens a file save window entitled "Export Results." This window allows you toenter or select a location and file name to save the analysis results displayed in the results

87

window. The results can be saved to any of the following formats: tab-delimited text (.txt),
comma-delimited text (.csv), unformatted Word (.doc), or html (.htm).
In addition, you can choose to save all current analysis results to a single file by selecting
Export Analysis Report from the File menu. This command combines the separate analysis
reports with headings for each section. The same file type options are offered as with theseparate reports (.txt, .csv, .doc, or .htm).

Chapter 14
Menu Commands
File Menu Commands
The File menu of Market System Analyzer (MSA) offers the following commands:
New
Open
Close
Save
Save As
Export Analysis Report
Print
Print Preview
Print Setup
Properties
Exit

Creates a new document.
Opens an existing document.
Closes an open document
Saves an opened document using the same file name.
Saves an opened document to a specified file name.
Writes an analysis report to a specified file name.
Prints the main window.
Displays the document on the screen as it would appear
printed.
Selects a printer and printer connection.
Displays file properties for the selected document.
Exits MSA.

New Command
Use this command to create a new document in MSA. The new command consists of two submenu items:
New MSA File
New Portfolio

Creates a new market-system (.msa) file.
Creates a new portfolio (.msaport) file.

The new document will be blank.
You can open an existing document with the Open command.
Open Command
Use this command to open an existing market-system (.msa) or portfolio (.msaport/.msp)
document or to select one or more text files of trade data. If text files are selected, a .msa file
will be created automatically for each file of trade data or, optionally, all trade data will beread into a single .msa file. Also, if multiple .msa files are created from multiple text files, an
optional portfolio (.msaport) file can be created automatically from the newly created .msa
files.
You can create new documents with the New command.
File Open Window
The following options allow you to specify which file to open:
File Name
Specifies the file you want to open. This field lists files with the extension you select in the
List Files of Type box.

89

Files of TypeSpecifies the type of file you want to open. MSA creates files of type .msa and .msaport. You
can also select "Trade Files (*.txt, *.csv, *.xml)" or "All Files (*.*)" in this box. Select "Trade
Files" to open a text file of trade data and create a corresponding .msa file.
Close Command
Use this command to close the active document. When you close a document, MSA prompts you tosave the document if it has any unsaved changes, then closes the document window.
Save Command
Use this command to save the active document to its current name and directory. When you
save a document for the first time, MSA displays the Save As window so you can name yourdocument. If you want to change the name and directory of an existing document before you
save it, choose the Save As command.
Save As Command
Use this command to save and name the active document. MSA displays the Save As window
so you can name your document.
To save a document with its existing name and directory, use the Save command.
File Save As Window
The following options allow you to specify the name and location of the file you are about tosave:File Name
Specifies a file name to save a document with a different name. MSA adds the extension you
specify in the Save As Type space.
Export Analysis Report
Use this command to export a report containing all analysis results to a file. MSA displays an
Export Analysis Report window so you can name the document and choose the location where
the document will be saved. The results can be saved to any of the following formats: tabdelimited text (.txt), comma-delimited text (.csv), unformatted Word (.doc), or html (.htm).
Also see Chapter 13, Working with MSA Files, Saving Analysis Reports.
Print Command
Use this command to print the main window. This command presents a Print window, where
you may specify the range of pages to be printed, the number of copies, the destination
printer, and other printer setup options.
Print window
The following options allow you to specify how the document should be printed:
Printer
Specifies the active printer and printer connection. Choose the Setup option to change theprinter and printer connection.
Print Range
Specify the pages you want to print:
Prints the entire document.
All
Prints the currently selected text.
Selection
Prints the range of pages you specify in the From and To fields.
Pages

90

CopiesSpecifies the number of copies you want to print for the above page range.
CollatePrints copies in page number order, instead of separated multiple copies of each page.
Print Progress Window
The Printing window is shown during the time that Market System Analyzer is sending output
to the printer. The page number indicates the progress of the printing.
To abort printing, click Cancel.
Print Preview Command
Use this command to display the active document as it would appear when printed. When you
choose this command, the document window will be replaced with a print preview window inwhich one or two pages will be displayed in their printed format. The print preview toolbar
offers you options to view either one or two pages at a time; move back and forth through the
document; zoom in and out of pages; and initiate a print job.
Print Preview toolbar
The Print Preview toolbar offers you the following options:
Print
Opens the print window, to start a print job.
Next Page
Previews the next printed page.
Prev Page
Previews the previous printed page.
One Page / Two Page
Previews one or two printed pages at a time.
Zoom In
Takes a closer look at the printed page.
Zoom Out
Takes a larger look at the printed page.
Close
Returns from print preview to the document window.
Print Setup Command
Use this command to select a printer and a printer connection. This command opens a Print
Setup window, where you specify the printer and its connection.
Print Setup window
The following options allow you to select the destination printer and its connection.
Printer
Specifies the printer you want to use. Choose the default printer; or choose the SpecificPrinter option and select one of the current installed printers shown in the pane. You install
printers and configure ports using Control Panel.
Orientation
Specifies Portrait or Landscape.
Paper Size
Specifies the size of paper on which the document is to be printed.

91Paper Source
Specifies the tray for the paper source, because some printers offer multiple trays for different
paper sources.
Properties
Displays a window where you can make additional choices about printing, specific to the typeof printer you have selected.
Network
Click this button to connect to a network location, assigning it a new drive letter.
Properties Command
Use this command to display properties for the currently selected document. Displayed
properties include the file name, the full path, type of file (market system or portfolio), MSA
file version number, file size, date created, and date last modified. For market system files, thename and path of the trades file is also shown.
1, 2, 3, …Command
Use the numbers and filenames listed at the bottom of the File menu to open the last ten
documents you closed. Select the number that corresponds to the document you want to open.
Exit Command
Use this command to end your MSA session. MSA prompts you to save any open documentthat has unsaved changes.

View Menu Commands
The View menu offers the following commands:
Equity Table
Performance Results
Monte Carlo Results
Optimization Results
Randomize Trade Order
Restore Original Order
Zoom In
Zoom Out
Format Chart
Equity Curve Selection
Getting Started Screen
ToolbarSummary Pane
Status Bar
Customize
Application Style

Shows or hides the equity table.
Shows or hides the window of performance results
for the current sequence.
Displays the results of the Monte Carlo analysis.
Displays the results of the position sizing
optimization.
Randomizes the order of the trades.
Restores the sequence of trades to its original order.
Magnifies selected chart area
Restores normal magnification
Opens the Format Chart window.
Allows selection of equity curve to plot (portfolios
only)
Displays screen with help on getting started
Shows or hides the toolbar.
Shows or hides the summary pane.
Shows or hides the status bar.
Provides options for customizing the menus.
Presents optional visual styles for the program.

Equity Table Command
Use this command to show or hide the Equity Table. The Equity Table is a tabular listing of
the results displayed in the equity curve in the main window. The Equity can be kept on thescreen while working elsewhere in the program. The window can be moved out of the way by

92

clicking and dragging the title bar. To reduce the size of the window, click and drag the lower
right-hand corner of the window. The window can be closed at any time by clicking the close
button in the upper right-hand corner or by selecting this command. Once closed, it can bereopened by selecting this command again or by pressing Alt+E. See Chapter 12, Viewing theResults, Equity Table, for more information.
Performance Results Command
Use this command to show or hide the window of performance results for the current
sequence of trades. See Chapter 12, Viewing the Results, Performance Results, for more
information, including a description of each statistic.
Monte Carlo Results Command
Use this command to display the results of the most recent Monte Carlo analysis. See Chapter
12, Viewing the Results, Monte Carlo Results, for more information, including a descriptionof each Monte Carlo output result.
Optimization Results Command
Use this command to display the optimization results for the selected document. For marketsystem documents, the results are displayed for the currently selected position sizing method.
If no optimization has been performed for the currently selected position sizing method or the
trades and/or analysis settings have been changed since the last optimization, this item will bedimmed (unavailable). For portfolio documents, this command will display the results of themost recent optimization, if one has been performed. If no optimization has been performed
for the portfolio, this command will be dimmed. For more information, see Chapter 12,
Viewing the Results, Optimization Results.
Randomize Trade Order Command
Use this command to randomize the order of the current sequence of trades. Even if thestatistical properties of a trading system or method remain the same in the future, the sequenceof profits and losses is unlikely to repeat. Randomizing the trade order can provide insight into
how the ordering of the profits and losses affects the performance results. If, for example, thehistorical sequence of trades contains an unusually beneficial series of profits and losses that
results in a high rate of return with a low drawdown, then such favorable results should not be
expected in the future. Randomizing the trade sequence repeatedly can show how the rate of
return and drawdown, as well as other statistics, might differ with other possible orderings ofthe trades.
The Restore Original Order command restores the sequence of trades to its original order.
This command may also be accessed by right-clicking anywhere within the main window or
by using the Randomize button on the toolbar of the main chart window.
Restore Original Order Command
Use this command to restore the current sequence of trades to its original order. If thesequence has not been randomized (Randomize Trade Order command), this command will
be dimmed. For market-system documents, the original order of trades can be viewed at any
time using the Edit/Add command of the Trades menu.
This command may also be accessed by right-clicking anywhere within the main window or
by using the Restore button on the toolbar of the main chart window.
Zoom In Command
Use this command to magnify part of the chart window. When the command is selected, thecursor changes to a magnifying glass. Click the mouse at one corner of the rectangular area to93

be magnified and drag the cursor while keeping the mouse button down. As the zoom cursor
is dragged across the chart window, a rectangle indicates the area that will be magnified.
Release the mouse to complete the process. The process can be repeated to zoom in further.
Select the Zoom Out command to restore the original magnification.
The Zoom In command is also available on the toolbar and in the context menu that can beaccessed by right-clicking over the chart.
Zoom Out Command
Use this command to restore normal screen magnification for the main chart window after thechart has been magnified with the Zoom In command. A chart that has been magnified with
Zoom In displays the label “Zoom on” in the upper left corner. Selecting Zoom Out restores
normal magnification regardless of how many times the Zoom In command was used tomagnify the screen.
The Zoom Out command is also available on the toolbar and in the context menu that can beaccessed by right-clicking over the chart.
Format Chart Command
Use this command to format the main window. Selecting this command opens a window with
options for changing the chart title, chart fonts, line colors, and line widths. There are also
options for plotting the chart grid, data point markers for the equity curve, the ideal equity
curve, the equity curve as an area (solid) curve, and the moving average of the equity curve.
The length of the moving average of the equity curve may also be set.
The figures below show the two tabs of the Format Chart window.

On the Fonts and Options tab, the Title section is used to enter the chart title, which appears
above the main chart window. The font used for the title is shown in the font face and size
currently selected. Click the “Font…” button to change the font face and/or text size. All othertext on the chart is displayed using the font shown in the Labels section. Click thecorresponding “Font…” button to change the font face and size for the label text.

94

The Options section provides options for showing or hiding the data point markers, the chartgrid, the ideal equity curve, and the moving average of the equity curve. There is also an
option for drawing the equity curve as an area curve. If this option is chosen, the color
currently selected for the equity curve line is used to fill in the area below the equity curve.
The number of trades comprising the moving average of the equity curve can be entered on
this page as well.
The ideal equity curve is constructed as follows: for position sizing methods other than fixed
size, each “ideal” trade is assigned the average percentage trade. For example, if the average
trade is 0.5%, the ideal equity curve is constructed by incrementing the equity by 0.5% fromtrade to trade starting with the starting account equity value. On a linear chart, this produces
an equity graph that curves upward (i.e., has increasing slope). On a logarithmic scale, thiscurve is a straight line because the rates of return for all periods (trades in this case) are thesame. If the slope of the actual equity curve is close to that of the ideal equity curve whenplotted on a logarithmic scale, it indicates that the trading system or method has uniform
performance over different time periods.
For fixed size position sizing, the ideal equity curve is constructed by assigning each “ideal”
trade the average trade in currency units (e.g., dollars). In this case, the equity curve isgenerated by incrementing the equity by the average trade amount from trade to trade,
resulting in a straight-line equity curve on a linear chart. On a logarithmic chart, the ideal
equity curve in this case will curve downward (i.e., has decreasing slope).

The Lines and Colors tab allows you to set the line color and line width of the equity curve,
trade size bar graph (color only), moving average, ideal equity curve, and tick marks at newequity highs.The color is chosen from a drop-down list of standard colors. To choose a color
not on the list, select the last item in the drop-down list, “other…” This will bring up the color
picker screen, which will enable you to choose any color available on your system.
Alternatively, you can select one of the pre-defined color schemes from the Color Scheme
pull-down menu at the top of the page. This will set colors for each component. Line widths
are unaffected by the color scheme choice.
Line widths are also chosen from a drop-down list, which provides widths from 1 to 20 pixels.
Click OK to apply the chosen selections.

95

The Format Chart command may also be accessed by right-clicking anywhere within the main
window.
Equity Curve Selection Command (portfolios only)
For portfolio documents, this command allows you to plot either the portfolio equity curve or
any of the market-system equity curves comprising the portfolio. Note that the individual
market-system equity curves are not the same as the equity curves displayed in thecorresponding market-system (.msa) documents. When a market system is part of a portfolio,
the position sizing for the market system depends on the total account equity, which includes
equity contributions from all the market systems in the portfolio. Also, profits and losses fromdifferent market systems in a portfolio often offset one another, which tends to reduce thevariance or volatility in the portfolio equity curve. It’s not uncommon to see large drawdowns
in individual market systems while the drawdown in the portfolio is quite modest.
Getting Started Screen Command
The getting started screen, shown below, normally appears when the program starts up. Use
this command to display the getting started screen at any time. If the box “Don’t display thiswindow at startup” has been checked, the startup screen will not be displayed unless thiscommand is used. The getting started screen has three buttons that bring up basic help topics.
Click the Close button in the lower right-hand corner to close the window.

Toolbar Command
Use this command to display and hide the toolbar, which includes buttons for some of themost common commands in MSA, such as File Open. A checkmark appears next to the menu
item when the Toolbar is displayed.
See Toolbar below for help on using the toolbar.
Toolbar
The toolbar is displayed across the top of the application window, below the menu bar. The
toolbar provides quick mouse access to File menu functions (New, Open, Save, Print), as
well as common analysis functions, such as Setup, Position Size, Optimize, Randomize, etc.
Place the mouse cursor over a button (without clicking) to display a brief description of the

96button. The small, downward-pointing button at the right edge of the toolbar provides options
for adding or removing toolbar buttons and for opening the Customize menu (see below).
To hide or display the toolbar, click Toolbar from the View menu.
Summary Pane Command
Use this command to display and hide the summary pane, which displays summary
performance results corresponding to the equity curve displayed in the main chart. A
checkmark appears next to the menu item when the summary pane is displayed.
Select a performance statistic in the summary pane to see a description of it in the area below
the pane. To view the complete performance report, right-click anywhere in the summary
pane and select “View Full Results”. The summary pane results can be copied to the clipboard
by right-clicking and selecting “Copy”.
Status Bar Command
Use this command to display and hide the status bar, which describes the action to be
executed by the selected menu item or depressed toolbar button and equity curve information
when the user clicks the left mouse button over the equity curve chart. A checkmark appears
next to the menu item when the status bar is displayed.
See Status Bar below for help on using the status bar.
Status Bar
The status bar is displayed at the bottom of the MSA main window. To display or hide thestatus bar, click Status Bar from the View menu.
The left area of the status bar describes actions of menu items as you use the arrow keys tonavigate through menus. This area similarly shows messages that describe the actions oftoolbar buttons as you select them, before releasing them. If after viewing the description of
the toolbar button command you decide not to execute the command, then release the mousebutton while the pointer is off the toolbar button. When the left mouse button is clicked overthe equity curve, the left area of the status bar displays the following information for the tradeat the cursor location: trade number, market-system number (portfolios only), date/time,
equity value, drawdown (% drawdown), and position size.
The right areas of the status bar indicate which of the following keys are latched down:
Indicator
CAP

Description
The Caps Lock key is latched down.

NUM

The Num Lock key is latched down.

SCRL

The Scroll Lock key is latched down.

Customize Command
Use this command to customize the menus, toolbars, and keyboard shortcuts. The right-click
context menus for the main chart window can be customized using the Menu tab. On theright-hand side of the menu tab, select the context menu under “Context Menus”. Then switch
to the Commands tab, select a command from the list, and drag and drop it onto the context
menu. To remove a command from the context menu, drag it off the menu.

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Application Style Command
Use this command to change the style of the menus, toolbars, and other visual elements of theuser interface of the MSA program. To change the program style, select a style from the
popup menu. Styles are available to emulate various Windows programs, such as Office XP,
Office 2003, Office 2007, Windows 2000, and Windows XP. Once the style has beenchanged, it will be stored locally, and the program will continue to use that style until a newstyle is selected.

Trades Menu Commands
The Trades menu is only applicable to market-system (.msa) documents and is not present
when a portfolio (.msaport) document is active. The Trades menu offers the following
commands, which facilitate entering and editing the trade data needed by MSA:
Data Source

Edit/Add
ImportExportCreate Trades From Statistics
Specify Trade Risks
Clear All
Reload From File

Opens the Data Source window for specifying
the text file of trades (trades file) on which themarket system’s equity curve is based.
Opens the Edit/Add Trades window forentering and editing trade data.
Offers commands for importing trade data fromtext files.
Exports the trade data to a text file.
Synthetically generates a series of tradeprofit/losses from statistics.
Presents options for defining the risks for aseries of trades.
Deletes the trade data from the open file.
Reads the trades from the trades file andrecalculates the equity curve.

Data Source Command
Use this command to select or name the trades file. The trades file is the text file containing
the trade data (profit/loss, entry and exit prices, etc.) for the market system. This command
opens the Data Source window, which displays the name of the current trades file if one has
been selected. Use this window to select a new trades file. After a trades file is selected, thetrades will be read into the document. If the document already contains trade data, MSA willprompt you to either over-write the existing trades, append the new trades to the existing ones,or ignore the trade data in the new trades file. See Chapter 3, Getting Data Into the Program,for more information on using the Data Source command.
Edit/Add Command
Use this command to edit, add, and delete trades. This command opens the Edit/Add Trades
window, which lists the trades in their original order. When restricting the current sequence oftrades to a subset of the original sequence using the toolbar, use the trade numbers listed in the
Edit/Add Trades window. See Editing Input Data in Chapter 3 for details on using theEdit/Add Trades window.
Import Menu Command
The Import command on the Trades menu is used to read in a series of trades from a text file.
This command can be used instead of the Data Source command to enter trade data into
MSA. Selecting the Import command prompts you to select a text file containing the tradedata. As with the Data Source command, after the file is selected, the data are read in fromthe file and displayed in the Trades File Format window (see Chapter 3, Input Data, Getting
Data into the Program). The Trades File Format window enables you to identify the columns

98of data in the file, including the columns to read and the ones to ignore. The Trades File
Format window is not displayed (and is not necessary) when reading trade data from RINA
xml files.
Two pre-set formats, available on the Preset column format pull-down menu of the Trades
File Format window, are designed to simplify this process. The first predefined format is theTradeStation Trades List. Select this format to import trade data from a text file generated
from the Trades List portion of a TradeStation performance report. The file should be in text
format, either as a .txt or .csv file. TradeStation software, version 8 or newer, is required. To
create the file, view the TradeStation performance report from within TradeStation. Save thereport as an Excel (.xls) file, then open the saved file in Excel. Go to the Trades List sheet and“save as” the spreadsheet as a .txt or .csv text file. Only the Trades List sheet will be saved.
Also see Chapter 3, Input Data, Getting Data into the Program.
The other predefined format is the WriteTrades3 file format. Use this format to import tradesfrom a text file generated by the WriteTrades TradeStation function, which is included with
MSA. The WriteTrades function is designed to be called as the last line in a TradeStation
strategy. It generates a text file that contains the trade data needed by MSA. See Chapter 3,
Input Data, WriteTrades EasyLanguage Function.
Export Command
Use this command to export the trade data currently in MSA to a file. This command opens
the Export Trades window, which allows you to choose an existing file or name a new file tocontain the exported trades. For each trade, the following data are written: symbol, entry date,entry price, exit date, exit price, stop price, trade direction (1/-1), profit/loss, risk, trade size,
ATR, currency conversion factor, and trade type (0 – 2). The trades can be saved to any of thefollowing formats: tab-delimited text (.txt), comma-delimited text (.csv), unformatted Word(.doc), or html (.htm). To import a .csv or .txt file created with the Export command, select the
WriteTrades3 preset format on the Trades File Format window and use the option to skip thefirst two lines. Also see Chapter 3, Input Data.
Create Trades from Statistics Command
Use this command to synthetically generate a series of trade profit/losses from the following
set of performance statistics: percent profitable, average winner, largest winner, average loss,
largest loss. The command can be used to create any specified number of trades. The trades
can replace the existing trades, if any, or be appended to the existing set of trades. See Chapter
3, Input Data, Creating Trades from Statistics.
Specify Trade Risks Command
Use this command to define the risk for each trade. The trade risk is defined as the amountthat would be lost per share/contract if the trade were a loss. Options include specifying therisk as the largest loss, the average loss, the average loss plus N standard deviations, or a
specified value per share/contract. The specified risk value can either replace all existing risks,
if any, or it can be used to define any currently undefined values. See Chapter 3, Input Data,
Specifying a Risk Value for All Trades.
Clear All Command
Use this command to delete all trade data from the current document. If a trades file has been
selected, the data will be deleted from the trades file the next time the .msa file is saved.
Reload From File Command
Use this command to force a reload of the trades file. The trades file, as specified under Data
Source, will be read into the document, the equity curve and associated performance results

99will be recalculated, and the equity curve will be redrawn. To instruct MSA to execute thiscommand automatically at specified intervals, use the Setup command of the Analysis menu.

Analysis Menu Commands
The Analysis menu contains commands for analyzing the current market-system document.
The Analysis menu is only applicable to market-system (.msa) documents. For portfolios,
please refer to the Portfolio menu, described below. The following commands are available on
the Analysis menu:
Setup
Position Sizing
Dependency Rules
Monte Carlo Analysis
Parameter Studies
Optimize Position Sizing
Trade Size

Opens a window for entering analysis settings andoptions.
Presents methods for position sizing.
Presents optional rules for exploiting tradedependency.
Performs a Monte Carlo analysis on the current
sequence of trades.
Opens a charting window for plotting position sizing
parameters.
Finds the optimal position sizing parameter.
Calculates the position size for the next (upcoming)
trade.

Setup Command
Use this command to enter analysis settings and options. The Analysis Setup window has
three tabs: Input Data, Account Settings, and Options. See Chapter 4, Basic Settings, for a
detailed description of each tab. Briefly, the Input Data tab allows you to control how the
input data are interpreted. Settings include the trading vehicle (stocks or futures), the pointvalue (futures only), whether the profit/loss and risk amounts are determined from price inputs
or from the P/L and risk amounts themselves, the default trade size, and several options
specifying whether trading costs are included in the data. There is also an option on this tab toreload the file of trade data at specified intervals.
The Account Settings tab allows you to set basic options related to your trading account, suchas the starting account equity value, margin requirements, and trading costs. You can also
select the locale for your trading account on this tab. The locale determines the currency unit
used for display purposes (dollar, Yen, Euro, etc.) as well as the number format. There is also
an option on this tab to set up a schedule of regular account withdrawals within thesimulation. If you plan to regularly withdraw money from your trading account, this option
will make the simulation more accurate.
The Options tab contains a number of options for position sizing, Monte Carlo analysis,
dependency analysis and the significance test. The position sizing options include the ability
to specify a minimum position size, the option to trade a fixed size until the account equity
reaches a specified threshold, and the option of trading in multiples of a fixed size, such as
100 shares. The full set of options is discussed in Chapter 4.
Position Sizing Command
Use this command to select the position sizing method and associated options. The Position
Sizing window, as shown below, consists of two tabs, Position Sizing Method and Equity
Curve Crossovers, described below.

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Position Sizing Method tab
The Position Sizing Method tab presents a list of the different position sizing methods
available in MSA. See Chapter 5, Position Sizing, for a description of each method. When amethod is selected from the list, the name of the method is displayed to the right of the list in
the section marked “Method.” Below that, in the Parameters section, the method’s parametervalues can be entered, such as the percentage of equity to risk per trade in the fixed risk
method.
The drop-down Source menu in the Parameters section is used to tell Market System Analyzer
where to obtain the position sizing parameter values. There are four choices: “User Entries(below),” “Optimization, All Trades,” “Sliding Window Opt, In-sample,” and “Sliding
Window Opt, Out-of-sample.”If the first option is chosen, the parameter values for position sizing are obtained from thevalues entered by the user on the Position Sizing Method tab for the currently selected
position sizing method. If the second option is selected, MSA uses the optimal value of theposition sizing parameter for the currently selected method, as determined from theoptimization over all trades. If the optimization has not been performed for the currently
selected position sizing method, the values entered by the user will be used instead.
If the third or fourth option is chosen, the position sizing parameter values obtained from
optimizing over a sliding window of trades will be used. If the sliding window optimization
has not been performed for the currently selected position sizing method, the values enteredby the user will be used instead. There are two ways to use the sliding window parametervalues: in sample (as optimized), or out-of-sample (walk-forward). Selecting the third option
from the drop-down list ("…in-sample") means that the parameter values will be applied tothe same trades that were used in the optimization. For example, suppose the optimization
window was 30 trades in length, and the optimized parameter was the delta (fixed ratio
method). The optimization would have used trades 1 - 30 for optimization window #1.
Applying the optimal delta in-sample means that trades 1 - 30 will use the optimal delta from
window #1. Trade 31 will use the optimal delta from window #2 (trades 2 - 31). Trade 32 will
use the optimal delta from window #3 (trades 3 - 32), and so on.

101

If the fourth option ("…out-of-sample") is selected, the optimized parameter value will beassigned to the trade following the optimization window. In the example above, the delta
value for trade 31 will be the optimal value from window #1 (trades 1 - 30). The delta value
for trade 32 will be the optimal value from window #2 (trades 2 - 31), and so on. Trades 1 - 30
will have a position size of zero because there is no out-of-sample value to assign to trades in
the first window. Selecting this option provides a way to test the optimized parameter values
on data not used in the optimization. This is known as out-of-sample testing.
The Notes section on the bottom right of the Position Sizing Method tab provides a brief
description of the selected position sizing method.
When the OK button is clicked, the chart will be redrawn to employ the selected position
sizing method. All subsequent analyses will employ the selected method. The chosen position
sizing method will also determine the parameter optimized during position sizing
optimization; e.g., for fixed fractional position sizing, the optimized parameter will be thefixed fraction (percent risk). See Chapter 8, Optimizing Position Sizing, Optimization
Objectives, for a list of the parameters optimized for each position sizing method.
Equity Curve Crossovers tab
MSA includes an equity crossover feature that enables you to modify your trading based oncrossovers of a moving average of the equity curve. Use this tab to select the equity curve
crossover rules and options.
See Chapter 5, Position Sizing, Equity Curve Crossovers, for further information.
Dependency Rules Command
Use this command to select the dependency rules. The dependency rules are intended to takeadvantage of any trade dependency found in the current sequence of trades, such asdetermined by the runs test. Selecting this command opens the Dependency Rules window,
which presents the list of dependency rules. Once a rule is selected, click OK, and the rule will
be applied to the current sequence of trades and will be reflected in the main chart window
and in all subsequent analyses.
See Chapter 9, Trade Dependency, Setting Dependency Rules, for a description of eachdependency rule.
Monte Carlo Analysis Command
Use this command to perform a Monte Carlo analysis on the current sequence of trades. The
analysis will be performed using the settings and options specified on the Options tab of theAnalysis Setup window. When the analysis is complete, the results will be presented in theMonte Carlo Results window.
Also see Chapter 6, Monte Carlo Analysis, Overview.
Parameter Studies Command
Use this command to plot position sizing parameters against performance measures. This
command opens the Parameter Studies window, which allows you to select a position sizing
parameter on the X axis and a performance measure on the Y axis. You can also specify therange of X values to plot, the number of points to plot, and whether to calculate theperformance measure using the current sequence of trades or with Monte Carlo analysis. Clickthe PLOT CURVE button at the bottom of the window to plot the curve. Selections made inthis window have no affect on the main chart window or in any subsequent analyses.
See Chapter 7 for further details.

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Optimize Position Sizing Command
Use this command to find the value of the position sizing parameter for the currently selected
position sizing method that maximizes a chosen objective. Selecting this command opens the
Optimize Position Sizing window, which presents a list of choices for the performancemeasure to maximize and an optional limit on the maximum percentage drawdown. You canchoose to optimize over all trades in the current sequence or using a sliding window of trades.
You can optimize using the current sequence of trades or with Monte Carlo analysis. There isalso a choice of search methods for performing the optimization.
See Chapter 8 for further details.
Trade Size Command
Use this command when trading on a day to day basis to calculate the position size for the
next (upcoming) trade. Selecting this command (or pressing F11) opens the Trade Sizewindow. Enter the current value of your account equity and, if not dimmed out, the trade risk(in dollars) per share/contract/unit and the expected entry price or current market price. Clickthe “Calculate” button to determine the position size and required margin for the next trade
based on the entered data and using the currently selected position sizing method, parameters,
and related settings.
Also see Chapter 5, Position Sizing, Real Time Position Sizing.

Portfolio Menu Commands
The Portfolio menu contains commands for analyzing the current portfolio document. The
Portfolio menu is only applicable to portfolio (.msaport) documents. For market-system
documents, please refer to the Analysis menu, described above. The following commands areavailable on the Portfolio menu:
Setup
Position Sizing
Dependency Rules
Monte Carlo Analysis
Optimize Position Sizing
Trade Size
ReloadOpens a window for entering analysis settings andoptions.
Presents methods for position sizing.
Presents optional rules for exploiting tradedependency.
Performs a Monte Carlo analysis on the current
sequence of trades.
Finds the optimal position sizing parameters for the
portfolio.
Calculates the position size for the next (upcoming)
trade for each market system in the portfolio.
Read in the data for each market system andrecalculate the portfolio equity curve.

Setup Command
Use this command to enter analysis settings and options for a portfolio. The Portfolio Setup
window has two tabs: Market Systems and Settings. See Chapter 4, Basic Settings, for a
detailed description of each tab. Briefly, on the Market Systems tab, the Add Market
System(s)... button can be used to select any number of existing market-system (.msa)
document files. The selected market systems will be added to the portfolio. A market system
can be removed using the Remove Market System(s) button. To open one of the marketsystem documents comprising the portfolio, either double-click on the market-system name in

103

the list or use the Open File(s) button. The check box at the bottom of this tab can be used toautomatically reload the chart data at specified time intervals.
The Settings tab allows you to set basic options related to your trading account, such as thestarting account equity value, and options for Monte Carlo analysis, dependency analysis andthe significance test. You can also select the locale for your trading account on this tab. The
locale determines the currency unit used for display purposes (dollar, Yen, Euro, etc.) as wellas the number format.
Position Sizing Command
Use this command to select the position sizing methods and associated options for eachmarket system in the portfolio. The Position Sizing window, as shown below, consists of twotabs, Position Sizing Methods and Equity Curve Crossovers, described below.

Position Sizing Method tab
This tab lists each market system with its default position sizing settings. To change theposition sizing method and/or parameters, double-click on the market system or select themarket system from the list and click the Edit Selection button. This brings up the Position
Sizing Method window, shown below.
By default, the settings are retrieved from the market-system file. To change a parametervalue, change the Parameter Source to User Selected on the Position Sizing window thenenter the new value in the space provided.
The Position Sizing Method window lists the different position sizing methods available in
MSA. See Chapter 5, Position Sizing, for a description of each method. When a method isselected from the list, the name of the method is displayed to the right of the list in the section
marked “Method.” Below that, in the Parameters section, the method’s parameter values canbe entered, such as the percentage of equity to risk per trade in the fixed risk method.

104

The drop-down Parameter source menu in the Parameters section is used to tell MSA where toobtain the position sizing parameter values. There are three choices: “User Selected,” “Market
System File” and “Portfolio Optimization.”If the first option is chosen, the parameter values for position sizing are obtained from thevalues entered by the user in the Parameters section for the currently selected position sizing
method. If the second option is selected, MSA retrieves the position sizing parameter value
from the market-system file. If the last option is chosen, the value of the position sizing
parameter for the currently selected method is obtained from the most recent portfolio
optimization if one has been performed.
The Notes section on the bottom right of the Position Sizing Method tab provides a brief
description of the selected position sizing method.
Equity Curve Crossovers tab
MSA includes an equity crossover feature that enables you to modify your trading based oncrossovers of a moving average of the equity curve. Use this tab to select the equity curve
crossover rules and options. These rules apply to the portfolio equity curve. There may beother equity curve crossover rules selected for individual market systems. To disable thesemarket-system rules, check the box “Deactivate all crossover rules currently active inindividual market system files”.
See Chapter 5, Position Sizing, Equity Curve Crossovers, for further information.
Dependency Rules Command
Use this command to select the dependency rules. The dependency rules are intended to takeadvantage of any trade dependency found in the current sequence of trades, such asdetermined by the runs test. Selecting this command opens the Dependency Rules window,
which presents the list of dependency rules. Once a rule is selected, click OK, and the rule will
be applied to the current sequence of trades and will be reflected in the main chart window
and in all subsequent analyses. These rules apply to the portfolio equity curve. There may beother dependency rules selected for individual market systems. To disable these marketsystem rules, check the box “Deactivate all dependency rules currently active in individual
market system files”.
See Chapter 9, Trade Dependency, Setting Dependency Rules, for a description of eachdependency rule.

105

Monte Carlo Analysis Command
Use this command to perform a Monte Carlo analysis on the current sequence of trades. The
analysis will be performed using the settings and options specified on the Settings tab of thePortfolio Setup window. When the analysis is complete, the results will be presented in theMonte Carlo Results window.
Also see Chapter 6, Monte Carlo Analysis, Overview.
Optimize Position Sizing Command
Use this command to find the optimal values of the position sizing parameters for the
portfolio. The optimization is based on the currently selected position sizing methods, as
shown in the Position Sizing window. Selecting this command opens the Optimize Position
Sizing window, which presents a list of choices for the performance measure to maximize andan optional limit on the maximum percentage drawdown for the portfolio. You can optimize
over the current sequence of trades or using Monte Carlo analysis. You can optionally start the
optimization at the current position sizing parameter values or at values randomly selected by
the program.
See Chapter 8 for further details.
Trade Size Command
Use this command when trading on a day to day basis to calculate the position sizes for the
next (upcoming) trade for each market system in the portfolio. Selecting this command (orpressing F11) opens the Trade Size (Portfolio) window. Enter the current value of youraccount equity and, if not dimmed out, the trade risk (in dollars) per share/contract/unit andthe expected entry price or current market price for each market system. Use the Next MS andPrevious MS buttons to move between market systems. Click the “Calculate Position Sizes”
button to determine the position sizes and required margins for the next trades based on theentered data and using the currently selected position sizing methods, parameters, and related
settings.
Also see Chapter 5, Position Sizing, Real Time Position Sizing.
Reload Command
This command reconstructs the portfolio by reading each individual market-system file andadding it to the portfolio. When each market-system file is read, the trades file is loaded. As aresult, the Reload command updates the portfolio with the latest trade data from each market
system. To instruct MSA to execute this command automatically at specified intervals, use thePortfolio Setup command.

Window Menu Commands
The Window menu offers the following commands, which enable you to arrange multiple
views of multiple documents in the application window:
New Horizontal Tab GroupNew Vertical Tab GroupNew Window
Split

Splits the chart window horizontally into
two panes
Splits the chart window vertically into twopanes
Creates a new window that views the same
document.
Splits the chart window into either two or
four user-sized panes.

106

Goes to specified window.

Window 1, 2, ...

New Horizontal Tab Group Command
Use this command to divide the chart window into two horizontal panes. The currently active
tab will occupy the new pane. To remove a pane, click and drag the tab from the pane youwant to remove to the other pane.
New Vertical Tab Group Command
Use this command to divide the chart window vertically into two panes. The currently active
tab will occupy the new pane. To remove a pane, click and drag the tab from the pane youwant to remove to the other pane.
New Window Command
Use this command to open a new window with the same contents as the active window. You
can open multiple document windows to display different parts or views of a document at thesame time. If you change the contents in one window, all other windows containing the same
document reflect those changes. The new window appears in a tab with the file name followed
by a colon and the copy number; e.g., Example2.msa:2 represents the second copy of file
Example2.msa.
Split Command
Use this command to split the active window into additional panes, with a copy of the active
document in each pane. When this command is selected, the mouse cursor changes tocrosshairs that span the active window. Move the cursor to divide the window into four panes.
Move the cursor all the way to the bottom or top of the window to split the window vertically.
Move the cursor all the way left or right to split the window horizontally. To remove the split,
drag the split line to the edge of the window.
Window 1, 2, ... Command
MSA displays a list of currently open document windows at the bottom of the Window menu.
A checkmark appears in front of the document name of the active window. Choose adocument from this list to make its window active.

Help Menu Commands
The Help menu offers the following commands, which provide assistance with thisapplication:
Help Topics
About

Offers an index to topics on which you can get help.
Displays information about this application.

Help Topics Command
Use this command to display the table of contents for Help. From the table of contents, you
can open various topics for using Market System Analyzer, look up topics in the index, andperform word searches using Find. Press F1 at any time to open a help topic related to theselected command or open window. The help system contains the complete contents of thisuser's guide.
About MSA Command
Use this command to display information about Market System Analyzer, such as the
copyright notice and version number.

Chapter 15
FAQ (Frequently Asked Questions) List
Market System Analyzer uses closed trade equity. Won't this underestimate the true
drawdown?
In some cases, using closed trade equity for drawdown calculations will underestimate thedrawdown. This is usually only a concern for long-term system, which may have large swings
in equity during the trade. Even with these types of systems, however, only a fraction of the
trades generally experience intra-trade drawdowns that completely reverse before the tradeexits. If, on the other hand, a trade exits at its worst intra-trade drawdown, the closed tradeequity will also accurately represent the intra-trade drawdown.
If you want to use MSA for long-term trading, consider using the daily, weekly, or monthly
returns as input data in place of trades. For example, if you enter the daily changes in equity as
trade data, each day’s equity change will be considered to be a trade.
How can I handle pyramiding in Market System Analyzer?
In Market System Analyzer, each trade is assumed to have one entry and one exit. As such,
MSA is not designed to explicitly handle pyramiding. The reason for this is that pyramiding is
not a true position sizing method. In pyramiding, additional shares/contracts are added after
the initial entry. For example, in a long term trend following system, pyramiding may be used
to add to a long position as the market continues to trend upward.
There's more to adding additional shares/contracts than position sizing. Because these
subsequent entries take place at different times and under different conditions than the original
entry, they should be viewed as comprising an additional trading system. This other "system"
may have the same exit as the original system, but it has a different entry, effectively making
it a different system. Viewed this way, position sizing in pyramiding should be applied
separately to the original entry and to the subsequent, pyramided entries. In fact, the original
entries and the pyramided entries could be analyzed as separate trading systems in a portfolio.
How can I handle scaling in/scaling out in MSA?
This is the same basic issue as pyramiding, discussed above. Scaling in is the process ofadding shares/contracts after the initial entry to build a position. Scaling out removes
shares/contracts during the trade to reduce the position size. As with pyramiding, any buy orsell during a trade can be viewed as another trade. These other trades could be analyzed in
combination with the original entry/exit using portfolio analysis.
Can I use the program with options?
Market System Analyzer is not specifically designed for complex option trades, such as
straddles, spreads, covered call writing, and so on. However, it can be used with relatively
simple option trades. For example, to use MSA for long stock option trades, select “stocks” as
the trading vehicle and select the “trade in units of …” option with a unit size equal to thenumber of shares the option represents, such as 100 shares. The entry and exit prices for the
trade will be the option prices. For example, if a call option on stock XYZ with a strike priceof 50 is purchased for $3 and later sold for $4, the trade data would be entered using an entry
price of 3, an exit price of 4, a unit size of 100 shares, and a trade direction of “long” or 1. The
margin percentage should be set to 100%, which implies that the full price of the option ($3 x108

100 shares or $300) would be required to purchase the option. The resulting trade would be a
profit of $100 (net option profit of $1 x 100 shares). Each “unit” would represent one option.
A futures option trade would be entered in MSA the same way as a futures trade. You would
select “futures” as the trading vehicle and enter the point value for the underlying futures in
the Point Value field of the Analysis Setup window. Enter the required option margin on the
Account Settings tab of the Analysis Setup window. Futures options are generally priced for
one contract, so the trade size should be one contract.
The margin requirements for naked option writing are more difficult to represent in MSA. For
example, to write a naked equity index option might require a margin of 15% of the index
value. The total cost of the trade would be the margin amount plus the option premium minus
any out-of-the money amount. There is no easy way to account for this in MSA.
Can I use MSA for forex trading?
Yes, you can use MSA for forex trading. Since forex is highly leveraged, position sizing andmoney management are particularly important for forex. Although there is no "forex" trading
vehicle in MSA, the program can be used for forex by selecting "stocks" as the trading
vehicle. Enter the trades in terms of the entry and exit prices. Set the percentage margin to thepercentage you use for forex, such as 1%. The position size will be given in "shares." Forexample, a full-size lot would be 100,000 shares; a mini lot would be 10,000 share, and so on.
All calculations are performed in the base currency. To obtain the results in a currency otherthan the base currency, use the currency conversion data input field.
I only have a small sample of trades. Will I still get good results?
Many of the analyses in Market System Analyzer will be compromised if you start from asmall number of trades. For statistical reliability, you should have at least 30 trades. If you
have fewer trades but you believe the trades are an accurate representation of your trading
system or method, you might want to expand your list of trades using one of the methods
described in Chapter 6, Monte Carlo Analysis, Overview. The more trades available to theprogram, the more accurate calculations such as the worst-case drawdown will be.
What's the best way to find information on a particular command or feature?
The fastest and best way to find information on a command or feature of Market System
Analyzer is via the built-in help system, which can be accessed by pressing F1. The complete
user's guide is included in the help system. Moreover, the F1 command is context sensitive. If
you highlight a menu command then press F1, a help topic will open for that menu command
if available. If a window is open when you press F1, a help topic related to that window willopen. To bring up the complete help index, press F1 while the cursor is over the main chartwindow and no other windows are open. Once any help topic is open, you can access all otherhelp topics via the Contents and Index buttons or by entering a term in the Search box.
The optimization can't find a solution. What should I do?
When the optimization fails to find a solution, it's often because the number of trades is too
small. Even if the number of trades appears to be large enough, the number of trades
participating in the analysis might be reduced by a dependency rule or an equity crossoverrule. Try turning these rules off to increase the number of trades in the analysis. Also try
performing the optimization with Monte Carlo analysis. This will take longer but generally
provides more reliable results.
If the optimization is over a sliding window of trades and the number of trades in the window
is too small, some windows might lie within a drawdown, making it impossible for the
optimization to find a profitable result over that window. Increasing the number of trades until

109

the window exceeds the length of the drawdown should eliminate this problem. Monte Carloanalysis for sliding window optimization is also usually a good idea.
Lastly, if you’re optimizing a single market system, try the other search method (see Chapter
8, Optimizing Position Sizing, Search Methods). Adaptive search is usually preferable except
when using fixed size position sizing. However, if adaptive search is unsuccessful, try
exhaustive search. It may take longer but may be more likely to find a solution.
When I apply the sliding window optimization results, why don't they match the resultsin the optimization results window?
Even if the optimization results for every sliding window appear to be good, the resulting
equity curve when the optimal parameter values are applied may not be as good. This is due tothe cumulative effect of building the equity curve from successive sliding windows. In
particular, while the optimization may limit the drawdown to a reasonable percentage -- say,
30% -- the cumulative drawdown in adjacent windows may be greater than this. For example,
window #5 may end in a drawdown of 25%, and window #6 might start off with a drawdown
of 20%, resulting in a combined drawdown of 45%, which exceeds the optimization limit of30%.
Similar problems can occur when the optimal parameter values are applied out-of-sample; i.e.,
walk-forward. For example, suppose the optimal fixed fraction for window #10 was 0.08(8%). This might be the result of maximizing the rate of return subject to a drawdown
constraint of 20%, which means that the drawdown in each sliding window was limited to20%. However, if window #11 has a less favorable sequence of trades than window #10, that
8% fixed fraction could result in a drawdown much larger than 20% when applied "forward"
in window #11.
To eliminate or at least minimize these problems, try increasing the size of the sliding
window. Using Monte Carlo analysis will also help by producing more consistent optimalvalues from window to window.
What can I do to speed up the optimization?
If you're using Monte Carlo analysis and the optimization is too slow, reduce the number ofMonte Carlo samples (see Chapter 14, Menu Commands, Analysis Menu Commands, Setup
Command, Options tab). The default is 500. Try 200 or even 100. If the optimization issatisfactory, go back and repeat with a larger number of samples. The time to complete theoptimization will be proportional to the number of Monte Carlo samples, so if it takes 10
minutes with 200 samples, you'll know to expect 25 minutes with 500 samples.
If you’re optimizing a single market system, try using the alternative search method (seeChapter 8, Optimizing Position Sizing, Search Methods).
As an alternative to position sizing optimization for single market systems, try using theParameter Studies feature (see Chapter 7, Parameter Studies). By plotting the rate of returnfollowed by the worst-case drawdown, it’s usually possible to find a good parameter value
fairly quickly.
For optimizing portfolios, the option of starting the optimization at values chosen by the
program can increase the optimization time considerably. This is because MSA evaluates theportfolio at a series of randomly selected starting points prior to beginning the main
optimization. If you’ve entered a drawdown constraint, it may take additional time to findrandom trial values that meet the constraint. In this case, to speed up the optimization, you caneither use a less restrictive drawdown constraint or start the optimization at the current
position sizing parameter values.

110

How do I add a trade to the bottom of the list of trades in the Edit/Add Trades window?
You need to deselect any trade that may be selected (highlighted). To do this, scroll to thebottom of the list of trades and click in the space immediately below the last trade in the list. If
you then click the Add Trade button, the trade number shown on the Edit/Add Trade window
should be for the next trade in the sequence.
When I apply the moving average equity crossover rule, why don’t the crossovers on thechart seem to match where the program adjusts the position size?
This can be a little confusing, but the program is working correctly. The equity crossover ruleschange the position sizing based on crossovers of the equity curve with its moving average.
However, when you plot the moving average on the screen, the crossovers probably won't
match up exactly with the trades that have had their position sizing changed by the crossoverrule. This is because the equity curve is actually calculated twice. In the first pass, thecrossover locations are determined, but the crossover rule is not used to change the position
size. During the second pass, the crossover locations are used to apply the crossover rule andadjust the number of shares/contracts. This is necessary because applying the crossover rule tochange the position size alters the equity curve and thereby changes the crossover locations.
The moving average that is plotted on the equity curve is the moving average of the equity
curve that you see on the chart, which includes the effect of the crossover rule. If you want to
see the moving average and the crossover points that were used to adjust the position sizing,turn off the equity crossover rule but leave the moving average plotted on the chart.

Appendix: Position Sizing Code forTradeStation and MultiCharts
Although Market System Analyzer (MSA) is designed as a stand-alone program, some users
will no doubt want to perform their position sizing calculations within TradeStation orMultiCharts. To make this easier, the EasyLanguage function, PSCalc, implements the
position sizing methods of MSA. After the function is discussed, an example illustrates theuse of PSCalc in a simple trading system. The example also demonstrates how the PSCalc
function can be used to optimize trading system and position sizing parameters simultaneously
in TradeStation.
The PSCalc EasyLanguage function is designed to be called from the code of an existing
trading system. It calculates and returns the number of shares/contracts based on the accountequity and the selected position sizing method. The position sizing method and associatedparameter values are determined from the input parameters of the function.
PSCalc can be used either to back-test trading systems or in day to day trading to determine
the number of shares/contracts for the next trade. In back-testing mode, the function
accumulates the account equity after each trade and bases the position size on the accumulated
equity (or accumulated profit for fixed and generalized ratio trading). For day to day trading
purposes, the function uses the input value of the trader's current account equity to calculate
the number of shares/contracts for the next trade.
You can find the function in the files PSCalc32.eld (TS 8 or newer and MultiCharts),
PSCalc32.els (for TS 2000i) or in the text file PSCalc32.txt, which are included with licensed(paid) version of MSA. PSCalc is not available in the trial version of MSA.
The input parameters of the function are listed below. A value should be provided for eachparameter unless it corresponds to a position sizing method that you do not plan to use. In thatcase, a value of zero can be used.
Input
PSMethParam1
Param2
BackTest
StEqtyCurEqty
TrRiskMxLoss
MaxDD
Stocks
UseUnits
UnitSize
UseMinN

Description
position sizing method, as defined in the table below.
1st position sizing parameter. See table below.
2nd position sizing parameter. See table below.
true/false; true means account equity is accumulated;
false means CurEqty is used as total equity.
initial account size (starting equity) in dollars.
current value of account equity in dollars; only used when
BackTest = false.
risk for current trade, per share/contract/unit
largest 1-share/contract/unit loss
largest 1-share/contract/unit drawdown
true if vehicle is a stock; false if futures.
true/false. If true, number of shares/contracts is amultiple of UnitSize; e.g., 100 shares per unit.
size of trading unit; e.g., 100 shares.
true/false. If true, the number of shares/contracts
is always at least equal to MinN. In other words, if the number

112

MinN
MaxN
InitMarg
MargPerNATRof shares/contracts would otherwise be less than MinN becauseof a small account size or high trade risk, this sets the numberof shares/contracts equal to MinN.
Minimum number of shares/contracts; applied if UseMinN is true.
maximum allowable number of shares/contracts. If the calculated
number is more than this value, this value will be returned.
initial margin required per contract for futures trades, $.
margin requirement for stocks; percent of equity (e.g., 50%).
Averaging period for average true range calculation.

The position sizing method is determined by the value of the first parameter, PSMeth. Inputs
Param1 and Param2 are the parameters for the selected position sizing method. The
correspondence between the position sizing method and Param1 and Param2 is shown in thefollowing table:
PSMeth Description
Param1
Param2
1
fixed size
# shares/contracts/unitNA2
fixed $ per share/contract $ per share/contract/unit NA
3
fixed fractional/fixed risk fixed fraction, %NA
4fixed ratio
delta
Initial size
5
generalized ratiodelta
exponent
6
Classic ffixed fraction, %NA
7Profit risk method% profit at risk
% init equity
8
Margin target% equity used for margin NA
9
Leverage target
leverage
NA
10
Percent equity% of equity tradedNA
11
Max drawdown method % of max drawdown
NA
12
Max possible
NA
NA
13
Constant Value
position value
NA
14
Percent Volatility
volatility as % of equity NA
Except for the “Classic f” method (#6), these methods are the same as described in Chapter 5,
Position Sizing. The classic f method is the same as the fixed risk method except that the riskof the trade is taken as the largest historical loss, as given by parameter MxLoss. The fixedrisk method (#3), by contrast, uses the value of TrRisk as the trade risk, which may bedifferent for each trade. If the classic f method is selected, then Param1 will be the fixed
fraction. If, for example, Param1 is set to the optimal f value, as calculated by MSA, then theposition sizing will be the optimal f method.
The fourth parameter, BackTest, is used to select between back-testing mode (BackTest =true) and day to day trading mode (BackTest = false). If BackTest = false, the parameter
CurEqty should be set to the current value of account equity. If BackTest = true, CurEqty isignored. The next parameter, StEqty, is the starting account equity. If BackTest = false,
StEqty is only used for fixed and generalized ratio trading, where it's used to calculate thetotal profit (total profit = CurEqty - StEqty).
TrRisk is the risk amount for the current trade on a per-share/contract/unit basis. This is used
for fixed risk and profit risk position sizing. The next parameter, MxLoss, is the largest loss
(on a 1-share/contract/unit basis) among all trades in the trade history. This is used for the“Classic f” position sizing method, discussed above. The MaxDD parameter is the largest
peak-to-valley drawdown in the trade history on a 1-share/contract/unit basis. This is used in
the Max Drawdown method.

113

The Stocks parameter is a true/false value that is true if the trading vehicle is stocks and false
if the trading vehicle is futures. To trade in multiples of a fixed number of shares or contracts,
set the UseUnits parameter to true and set the UnitSize parameter to the fixed number ofshares or contracts. For example, with UnitSize equal to 100, the position size will be amultiple of 100 shares. The UseMinN parameter allows you to force the position size equal to
MinN in cases where it would otherwise be less than that. MaxN is the maximum allowable
number of shares or contracts. This is provided to keep the position size from getting
unrealistically large during back testing.
The next two parameters are for setting the minimum margin requirement. InitMarg is theinitial margin requirement per contract for futures trading. For stock trading, set MargPer tothe minimum percentage margin requirement (e.g., 50%).
The last parameter, NATR, is used to set the number of bars over which the average true
range (ATR) is calculated. This is only used when the percent volatility position sizing
method is selected.
To illustrate the use of the PSCalc function, the following EasyLanguage system code isprovided. This system, called PSExample3, is a simple breakout system intended primarily
for the E-mini S&P 500 futures. The EasyLanguage code can be found in the files
PSExample3.eld, PSExample3.els, or in the text file PSExample3.txt.
The first two inputs to the system relate to the trading rules of the system. The remaining
inputs relate to the PSCalc function. The system enters at a fraction of the prior day's range
from the prior day's high. The fraction of the prior day's range is given by the first input. The
second input is the size of the money management stop in dollars. The remaining inputs are
the same as the parameters of PSCalc, except that the TrRisk parameter is a variable rather
than an input to the system. TrRisk, the dollar value of the trade risk per contract, is set to thesize of the money management stop.
{
PSExample3 strategy
This simple system is designed to illustrate the use of the PSCalc
function for position sizing.
System: Buy at a fraction of yesterday's range from yesterday's high. Hold
1 day then look to exit on the first profitable open. Use a fixed money
management stop (nominally $1000 in the e-mini S&P).
The number of contracts for each trade is determined using function
PSCalc.
Adaptrade Software
www.Adaptrade.com
Copyright 2005 - 2009 Adaptrade Software}
Input: EntFrac
StopSz
PSMethParam1
Param2(0.75),(1000),(3),(5.0),(0),{ multiple of prior day's range for entering }{ size of money management stop in dollars }{ position sizing method, 1 - 14 }{ Position sizing parameter #1 }{ Position sizing parameter #2 }

114

Var:

BackTest
StEqtyCurEqty
MxLoss
MaxDD
Stocks
UseUnits
UnitSize
UseMinN
MinN
MaxN
InitMarg
MargPerNATR(true),(50000),(50000),(1000),(2000),(False),(False),(1),(true),(1),(1000),(4000),(100),(10);{ true for back testing }{ starting account size, $ }{ current account size, $ }{ largest 1-contract/share/unit loss, $ }{ largest 1-contract/share/unitdrawdown, $ }{ true if trading vehicle is a stock }{ true for trading in even units }{ # shares/contracts per unit }{ true --> # shares/contracts at least MinN }{ Minimum # of shares/contracts }{ max allowable number of shares/contracts }{ initial margin per contract for futures }{ margin requirement in percent for stocks }{ period for average true range }

EntPr
XitPr
TrRisk
NCon

(0),
(0),
(0),
(0);

{ Entry target price }{ mm stop exit price }{ trade risk, $ }{ number of contracts }TrRisk = StopSz;{ Entry conditions }NCon = PSCalc32(PSMeth, Param1, Param2, BackTest, StEqty, CurEqty, TrRisk,
MxLoss, MaxDD, Stocks, UseUnits, UnitSize, UseMinN, MinN,
MaxN, InitMarg, MargPer, NATR);
EntPr = H + EntFrac * (H - L);
If C > C[1] then
Buy NCon contracts next bar at EntPr Stop;{ Exit conditions }Sell("MMStop") next bar at EntryPrice - TrRisk/BigPointValue stop;
If BarsSinceEntry >= 1 and open of next bar > EntryPrice thenSell("ProfOpen") next bar at market;{ Value99 = WriteTrades32(TrRisk, 0, 0, NATR, 1, "C:\PSExample3-ES-WriteTrades3.csv");}

Placing the function parameters as inputs to the system enables you to optimize the position
sizing within TradeStation or MultiCharts using the built-in optimization feature of theplatform. You can even optimize the system and position sizing parameters simultaneously.
For example, in fixed fractional position sizing, the position size depends on the trade risk. In
this system, the trade risk is equal to the size of the money management stop. To illustrate, thesize of the money management stop, StopSz, and the risk percentage, RiskPer, were optimized
together using PSMeth = 3 (fixed fractional position sizing). BackTest was set to true forthese tests.
The symbol was @ES (E-mini S&P 500 futures, continuous contract). The period was
1/2/2003 to 8/20/2004 with a look-back length of 1 bar. The initial account size (StEqty) was$30,000, and $75 was deducted per contract for slippage and commissions. For comparison,
the system parameters were first optimized by themselves on a fixed contract basis. Three115

contracts were taken per trade. Based on net profit, the optimal parameter values were EntFrac= 0.8 and StopSz = 1700. These parameters produced the following results:
Net profit: $14,887.50
Return on account: 49.6%
Profit factor: 2.29
Number of trades: 36
Percent profitable: 66.7%
Average trade: $413.54
Max. consecutive losses: 2
Max. closed trade drawdown: 12.6%
Next, the stop size and the fixed risk (Param1) were optimized together with the entry
fraction, EntFrac, set at the value of 0.8 from the prior, fixed contract optimization. In thiscase, a very different optimal stop size was found. With fixed risk position sizing, the beststop size was $700 (compared to $1700 with fixed contract position sizing) using a fixed risk
percentage of 18%. The optimal results using these parameter values were:Net profit: $26,012.50
Return on account: 86.7%
Profit factor: 1.42
Number of trades: 39
Percent profitable: 61.5%
Average trade: $666.99
Max. consecutive losses: 2
Max. closed trade drawdown: 40.2%
In practice, a risk percentage of 18% is far too high (notice the drawdown of 40%). However,even with smaller risk percentages, the optimal stop size was different than $1700 using fixedrisk trading. This illustrates that position sizing can interact with a system's trading rules, andsuggests that there may be merit in setting system parameter values and position sizing
parameter values together.
In this example, the money management stop size was optimized. However, using the PSCalc
function as illustrated here, any system input can be optimized together with any position
sizing parameter. If you go through this type of analysis with your own trading system, it's
recommended that you run the results through MSA's Monte Carlo analysis to confirm thatyour chosen position sizing parameter values are reasonable. In general, to utilize thecapabilities of both MSA and TradeStation/MultiCharts when optimizing a trading system,
consider following the steps below:
1.
2.
3.
4.
5.

Optimize the system and position sizing parameters together in TradeStation orMultiCharts, as in the last example above.
Use the WriteTrades function to write out the trade results.
Import the trades into Market System Analyzer.
Apply your desired position sizing method and parameter values and run the Monte
Carlo analysis in MSA.
If the results are not satisfactory, re-optimize the position sizing within MSA using
Monte Carlo analysis.

As with any optimization, you should have a sufficient number of trades to avoid over-fitting
the system to the market data. You can use the significance test feature of MSA to help
determine if this is the case. In addition, out-of-sample testing is recommended after
optimization.

116

To calculate the position size for day to day trading purposes, set BackTest = false and set
CurEqty to the current value of your account equity. The position size for the next trade willbe specified in the Quantity column of the Strategy Orders tab in TradeStation 8. If using
fixed or generalized ratio trading, make sure that StEqty is also set correctly so that the total
profit (CurEqty - StEqty) will be correct. Before each new entry, make sure CurEqty is set tothe current value of your account equity.

Indexaccount size ................................. 17, 38, 46, 49, 78
adaptive search method ....................................... 66
analysis reports.................................................... 93
antimartingale ..................................................... 43
Average Drawdown ...................................... 83, 88
Average Losing Trade ................................... 81, 87
Average Number of Shares/Contracts ........... 80, 87
Average Number of Trades in Drawdowns ......... 83
Average Trade ......................................... 64, 81, 88
Average Winning Trade ................................ 80, 87
Commissions and Slippage ........................... 78, 79
confidence interval .................................. 72, 74, 84
confidence level . 57, 60, 62, 66, 68, 72, 73, 74, 84,
85, 86
copying to the clipboard ...................................... 14
correlation coefficient ............................. 75, 76, 85
correlation table ...................................... 76, 78, 85
current sequence of trades ................................... 13
Data Source ....................................................... 104
degrees of freedom ............................ 72, 73, 84, 85
dependency analysis .............. 10, 39, 42, 53, 69, 70
dependency rules ......... 18, 43, 68, 69, 84, 109, 113
drawdown constraint ....................... 65, 89, 90, 118
EasyLanguage .................................... i, 28, 29, 121
Edit/Add command .......................... 13, 15, 32, 98
equity crossover .................. 52, 109, 112, 117, 120
equity curve ......................................................... 12
Equity Table ................................ 16, 69, 77, 97, 98
exhaustive search ........................................ 67, 118
Final Account Equity .................................... 80, 87
fixed fractional position sizing .................... 15, 109
fixed ratio ........................................ 49, 50, 61, 108
Fixed ratio .................................................... 49, 65
Fixed risk ...................................................... 48, 65
floating menus ..................................................... 14
font .................................................................... 100
fonts .............................................................. 10, 99
forex .................................................................. 117
format ............................................................ 92, 99
Format Chart ................................ 54, 97, 99, 101
futures option .................................................... 117
generalized ratio .................................................. 50
Generalized ratio ......................................... 50, 65

Gross Loss ........................................................... 79
Gross Profit ......................................................... 79
Highest Closed Trade Equity .............................. 80
ideal equity curve .......................... 12, 99, 100, 101
import .......................................................... 58, 105
in sample ..................................................... 66, 108
Initial Account Equity ......................................... 78
Input Data ..... 2, 3, 15, 20, 31, 34, 37, 51, 104, 105,
106
Kelly formula .................................... 46, 47, 48, 65
Largest Losing Trade..................................... 81, 87
Largest Winning Trade .................................. 80, 87
leverage ............................... 34, 37, 43, 51, 62, 122line width ........................................................... 101
logarithmic chart ......................................... 13, 100
Logarithmic plotting ............................................ 13
Lowest Closed Trade Equity ............................... 80
main chart window13, 66, 77, 80, 83, 85, 100, 109,
110, 113
margin requirement ..... 34, 37, 50, 51, 52, 122, 123
margin requirements 2, 36, 44, 47, 48, 52, 106, 117
market system ........................................................ 9
martingale ............................................................ 43
Max Number Consecutive Losses ....................... 81
Max Number Consecutive Wins ......................... 81
Max Number of Shares/Contracts ................. 80, 87
menu bar .......................................... 85, 88, 91, 102
Minimum Number of Shares/Contracts ......... 80, 87
Modified Sharpe Ratio ............................ 64, 81, 88
money management stop ......................... 15, 31, 47
Monte Carlo analysis.... 17, 18, 44, 57, 62, 65, 66,
85, 90, 97, 98, 106, 109, 110, 113, 118
Monte Carlo samples ........................................... 60
moving average 9, 12, 52, 53, 54, 72, 99, 100, 109,
112, 120
MultiCharts ....i, iv, vii, 1, 20, 25, 28, 29, 121, 124,
125
negative correlation ................................. 75, 76, 85
negative dependency ........................................... 68
Number of Closed Trade Drawdowns ................. 83
number of contracts ............................................. 12
Number of Losing Trades.................................... 80
number of restrictions .......................................... 72

118

Number of Trades ............................................... 80
Number of Trades in Drawdown ......................... 83
Number of Winning Trades ................................ 80
optimal f ................................................ 47, 48, 122
optimization .......................... 61, 64, 117, 118, 124
Optimize Position Sizing . 18, 64, 66, 89, 106, 110,
113
out-of-sample .............................. 10, 108, 109, 118
parameter studies .............................................. 61
Parameter Studies .............. 17, 18, 61, 63, 106, 109
Percent Profitable ................................................ 80
performance statistics ...... 9, 12, 61, 66, 86, 90, 105
portfolio optimization ................................. 89, 112
position sizing .... 12, 13, 17, 29, 31, 38, 43, 44, 46,
47, 48, 49, 50, 53, 61, 64, 65, 66, 67, 77, 79, 89,
90, 91, 97, 98, 106, 107, 108, 109, 110, 111,
112, 113, 116, 120
Position Sizing Method ....................................... 79
positive correlation .................................. 75, 76, 85
positive dependency ...................................... 68, 70
probability distribution ........................................ 58
Profit Factor ...................................... 62, 64, 79, 87
PSCalc ......................................... 11, 121, 123, 125
pyramiding ........................................................ 116
random selection with replacement ..................... 58
randomize .............................................. 13, 58, 98
Return on Starting Equity ............................. 80, 87
Return/Drawdown Ratio ............................... 81, 88
RINA xml................................ 1, 2, 20, 25, 26, 105
runs test ............................. 39, 42, 68, 84, 109, 113

samples ................................................................ 57
Scaling in ........................................................... 116
Scaling out ......................................................... 116
sensitivity analysis............................................... 61
Sharpe Ratio ...................................................... 82
significance test ............................................. 84, 85
sliding window ... 9, 10, 39, 42, 66, 68, 84, 90, 108,
110, 118
slippage and commission..................................... 13
small sample ............................................... 58, 117
statistical properties ............... 15, 29, 30, 58, 74, 98
stock option ....................................................... 116
Student's t test ...................................................... 72
toolbar ............. 13, 16, 90, 96, 97, 98, 99, 102, 104
Total Net Profit.............................................. 79, 87
trade dependency ....... 9, 13, 69, 106, 109, 110, 113
Trade in units ................................................. 46, 79
Trade Number at Trough ..................................... 83
trade risk ...................................... 15, 28, 29, 47, 49
Trade Standard Deviation .............................. 81, 88
TradeStation .....................................................i, 28
Trading Period................................................... 79
trading vehicle ........... 34, 37, 46, 54, 116, 117, 123
walk-forward ......................................... 9, 108, 118
Win/Loss Ratio .............................................. 81, 88
withdrawals ................... 24, 25, 32, 37, 80, 84, 106
Worst-case Drawdown .................................. 83, 88
WriteTrades3 ........................... 11, 28, 29, 105, 125zoom ........................................................ 14, 96, 99