The Lifecycle of Exchange-traded Derivatives

Grant Cavanaugh Ph.D.

Praedicat

grant.cavanaugh@praedicat.com

Michael Penick

US Commodity Futures Trading Commission

mpenick@CFTC.gov

June 28, 2014

The research presented in this paper was co-authored by a Commodity

Futures Trading Commission (CFTC) economist Michael Penick with coauthor, Grant Cavanaugh, a former CFTC contractor who performed work

under CFTC OCE contract (contract CFOCE-12-CO-0194). The analyses

and conclusions expressed in this paper are those of the authors and do not

reflect the views of other members of the Office of Chief Economist, other

Commission staff, or the Commission itself. The CFTC’s economists produce

original research on a broad range of topics relevant to the CFTC’s mandate

to regulate commodity future markets, commodity options markets, and the

expanded mandate to regulate the swaps markets pursuant to the DoddFrank Wall Street Reform and Consumer Protection Act. These papers are

often presented at conferences and many of these papers are later published

by peer-review and other scholarly outlets.

Abstract

This article provides a statistical description of the lifecycle of exchangetraded derivatives in the United States. Using annual volumes for most

derivatives reported to US exchanges since 1954, we present distributional estimates of the rate at which derivative trading volumes rise

1
and fall. Our results suggest that the lifecycle of cleared derivatives

changed fundamentally in the 2000’s. In that decade, derivatives with

low trading volumes moved to modest volumes with increased probability. Prior to the 2000’s, low volume contracts were more likely to

remain stuck at low volumes or be delisted altogether. This additional

resilience from low levels of trading meant that the expected trading

volume for a new cleared derivative after ten years of trading actually

grew between the 1990s and 2000’s. This is surprising given that many

new contracts were launched in the last decade and a historically large

percentage of contracts traded at low volume in any year. The results

suggest that trading volumes varied more decade to decade than from

exchange to exchange or product type to product type.

JEL classification: G12, N22, G17.

Keywords: Derivatives; Innovation; Financial History.
1. Introduction

Every year, financial innovators launch new derivatives markets in the

hope of serving unmet risk management needs stemming stemming from ongoing economic activity. Many of those new markets fail to attract the liquid

trading that is necessary both to generate profits for derivatives exchanges

and to drive down transaction costs for their customers. A handful of new

markets will host large volumes of trading, enjoying network effects that will

sustain further trading in the future.

This article is intended to answer the fundamental question facing financial innovators as they consider whether or not to offer a new derivative

contract for trading on their platform: what are the chances that a new

derivative will reach a sustainable level of liquidity?

Silber (1981) and Carlton (1984) provided the first summary statistics

on the survival of new futures contracts and they suggested that most new

derivatives fail, usually soon after their launch. However, since their publication, technological innovation and organizational changes at derivatives

exchanges altered the economics of derivatives trading in ways that may have

upended long standing patterns in product lifecycles (Gorham and Singh,

2009).

Recently, Gorham and Kundu (2012) used a large dataset from the Futures Industry Association (FIA) to demonstrate a steep increase in the rate

at which new futures contracts are launched. They also provide point estimates of multiple metrics for the success of new futures contracts.

Here we extend the more recent work in Gorham and Kundu (2012),

providing distributional estimates of exchange-traded derivatives contracts’

movement between states of annual trading volume using a dataset that

includes cleared derivatives and options as well as many historic futures contracts absent from most electronic databases. The analysis presented is comprehensive, covering all US exchange-traded derivatives contracts launched

since the mid-1950’s. The analysis is also presented in a simple and novel

1
form, as a non-stationary Markov model estimated using Bayesian methods.

1.1. Derivatives reform and lifecycle statistics

Basic statistics on the lifecycle of derivatives are particularly valuable now

because ongoing policy debates on derivatives regulation in the US and Europe have hinged on projections of how new regulations will impact liquidity

and trading patterns. Better baseline statistics of the lifecycle of derivatives,

particularly statistics that take into account recent shifts in the dynamics of

exchange reported derivatives trading, can inform that debate.

Title VII of the Dodd-Frank reforms focuses on swaps markets1 2, the

hitherto unregulated derivatives markets that, since the first publicly disclosed swaps trade in 1981, had grown to a notional outstanding value of

USD 639 trillion by June 2012. (By contrast, options and futures had a

combined notional outstanding value of USD 60 trillion (Bank of International Settlements, 2012).) Title VII mandates that swaps markets adopt

practices related to many critical market functions, including information

dissemination, counter-party risk, and margining, that are comparable to

those of exchange-traded futures and options.

This regulatory change suggests that the coming years will see convergence between previously unregulated swaps markets and standard exchangetraded derivatives markets. This convergence, in turn, raises both normative

1Swaps trades have generally been negotiated bilaterally, often over the phone through

or with large swap dealers, rather than via the central limit order book system used by

exchange-traded derivatives. In theory, markets using bilateral negotiation and central

order books trade contracts that imply equivalent cash flows (Mello and Reilly, 2012).

However, Duffie (2012) presents evidence that informational asymmetries persist in even

highly liquid bilateral markets.

2

In practice, the distinction between swaps and futures is often murky. For example,

some swaps trades are negotiated bilaterally and then converted into futures trades on

markets such as the CME Group’s ClearPort. Those trades are reported to exchanges and

are consequently included in the dataset used in this article. The CME and ICE, the two

largest US futures exchanges, have recently announced plans to convert many of their most

popular swaps markets into futures markets with physical delivery of swaps contracts at

settlement (i.e. futures trades that become swaps), providing yet another hybrid model.

2
questions (How desirable is the move toward increased clearing, public disclosure of pricing information, and greater standardization of margins?) and

positive questions (What will the likely costs or regulation be in terms of

trading volume?) that would benefit from reliable statistical descriptions of

the lifecycle of derivatives.

The relative scarcity of basic statistics on the lifecycle of derivatives has

already introduced confusion into the policy debate surrounding Title VII.

In one prominent example, the International Swaps and Derivatives Association (ISDA) released a position paper on regulations mandating price transparency and clearing in swaps markets comparable to that in exchange-traded

derivatives markets in late 2011 (ISDA Research Staff and NERA Economic

Consulting, 2011). The paper highlights previous research showing high rates

of failure among exchange-traded derivatives. Assuming a connection between those failure rates and exchanges’ price transparency and clearing, the

paper goes on to argue that swaps contracts subject to proposed regulations

would subsequently lose their liquidity and begin to fail. That suggestion is

misleading. First, it ignore the comparable failure rates for bilateral swaps,

which are difficult to quantify. Second, it relies on the assumption tested

here - that derivatives continue to fail at the rates documented decades ago.

Our results suggest that assumption is not robust to recent changes in the

underlying structure of cleared derivatives markets.

In addition to providing common ground for policy debates, we hope that

the following analysis will inform the decisions of derivatives innovators. In

general, contracts are showing greater flexibility, moving up from low levels

of annual trading. This may have implications for how exchanges allocate

their limited budgets for marketing and education. Contracts previously

considered too uneven in their year-to-year trading to succeed may indeed

have substantial growth potential given proper marketing and educational

support.

3
2. Data

Our analysis is based on annual volume figures for US exchange-traded

derivatives (primarily futures, options, and cleared swaps). These figures

are/were freely available to the public through trade publications, directly

from exchanges, in newspapers, and from the website of the Commodity

Futures Trading Commission (CFTC). For ease of access, we used:

• An electronic database maintained by the CFTC aggregating basic,

market-level daily trade data (such as volume and open interest) regulated futures and options exchanges, called designated contract markets

(DCMs), This dataset covers all recent trading volumes reported to US

exchanges of futures, options and swaps, cleared pursuant to DCM

rules. Most contracts in that database have volume figures dating back

to the early 1980s.

• We supplemented this basic dataset by adding in futures trading figures

compiled by hand from historical publications released by derivatives

exchanges. The resulting dataset includes many short-lived contracts

listed on now-defunct exchanges that are unlikely to appear in most

electronic databases of trading statistics.

The merger of these resources may represent the most comprehensive

dataset on derivatives trading volume to date.

3. Markov model for the lifecycle of derivatives

We present our primary results in the form of a Markov model. That

model begins by imagining that a derivative contract moving between discrete

states (x) of trading volume at discrete times (t as in xt)according to a

discrete-time Markov chain, defined generally as in equation 1.

4
P(Xt = xt

|Xt−1 = xt−1, Xt−2 = xt−2, . . . , X0 = x0) = P(Xt = xt|Xt−1 = xt−1)

(1)

In the context of derivatives, the left side of equation 1 can be restated

as in equation 2.

P(Volume levelyear t+1|Volume levelyear t) (2)

Contract are assigned a martix (P as in equation 3) that describes the

probability of moving to any of a set of discrete states (time j) of annual

trading volume in the following year given their state of trading volume

today (time i). This is the transition matrix commonly used to describe a

Markov process (Page, 2012).

P =





p1,1 p1,2 . . . p1,j . . .

p2,1 p2,2 . . . p2,j . . .

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

pi,1 pi,2 . . . pi,j . . .

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.





(3)

Volume level for any given contract-year is equivalent to the common

logarithm of the annual trading, rounded down to the nearest integer. (For

example, annual trading of 10, 500 is assigned a volume level that groups it

with all contract-years with volume ≥ 10, 000 and < 100, 000.) We assigned

a special level for annual trading of 0.

For ease of estimation we work with the rows of the transition matrix P

which we denote as θ. Those rows sum to 1, so, assuming that row entries are

randomly distributed, each row can be assigned a Dirichlet distribution, commonly used for the probability of ending in an exhaustive set of categorical

states. That assignment is defined in equation 4.

5
Volume levelyear t+1|Volume levelyear t ∼ Categorical(θ)

θ ∼ Dirichlet(xvol level 0, xvol level 1, . . . , xvol level 108)

(4)

We modeled these transition probabilities via Bayesian Gibbs sampling

through R and the Bayesian statistical package JAGS (Plummer, 2003). (We

used the “rjags” package (Plummer, 2013).) These methods treat the underlying probabilities of moving between states of trading volume as randomly

distributed parameters, as in equation 4.

After estimation, we combine the vectors θ to reconstruct the transition

matrix for a Markov model P. As with any Markov model, we can multiply

a vector, π0 describing the probability that a new derivative will start in

any given state (at time 0) by the transition matrix to produce a vector of

probabilities that a new market will be in any state over an arbitrary number

of periods (k) as in equation 5.

π0P

k = πk. (5)

We can multiply the vector πk by yet another vector of annual trading

volumes corresponding to each possible state to get an approximation of the

expected trading volume in that arbitrary year. We present all our expected

trading volumes at a ten year horizon (setting k = 10), but the Markov

model is flexible in this regard.

Note that we do not assume that the transition matrix P is stationary

across time. We measure transition matrices for various contract groupings

including decades, product categories, and exchanges to test whether they

are distinct. Given that we do not assume stationarity our expected value

estimates do not describe an equilibrium, only the general direction of the

market.

6
3.1. Prior probabilities on moving between states of annual volume

Our model presumes that the data on the volume level next year (Volume levelyear t+1)

is segregated by the volume this year (Volume levelyear t) and we assigned

each of those subsets prior probabilities (corresponding to parameter x in

equation 4) of moving to any volume level in the next year. Those priors

came from an informal survey of economists at the CFTC.

That survey found beliefs corresponding roughly to:

• Pr(Volume levelyear t+1 = Volume levelyear t−1) = 0.16

• Pr(Volume levelyear t+1 = Volume levelyear t) = 0.63

• Pr(Volume levelyear t+1 = Volume levelyear t+1) = 0.14

The probability of a contract jumping more than one order of magnitude

up or down was assigned a value of 0.01. In edge cases (Volume levelyear t =

0 and Volume levelyear t = 108) where a move up or down would take the

contract below annual trading of 0 or to annual trading ≥ 109, we combined

the probabilities of moving up or down with the probability of remaining in

the same state. Table 2 at the end of this article shows the full matrix of

transition probability priors.

We chose to assign informative priors on transition probabilities because

flat priors (equal weighting to the probability of a transition to any state)

unfairly biased the estimation, giving exchanges or product subgroups with

few observations a relatively high probability of jumping to extraordinary

levels of trading.

7
0.00

0.25

0.50

0.75

1.00

0e+00 2e+08 4e+08 6e+08

Annual volume

Empirical CDF

Fig. 1. Empirical cumulative distribution function of annual trading volumes

by contract

4. Derivatives volumes over time

4.1. Concentration of trading volume over time

Figures 1 and 2 display the empirical cumulative distribution function

(ECDF) of annual trading volumes by contract for every year in the sample.

In each figure, individual lines represent the ECDFs for a single year, with

lines approaching a right angle showing greater concentration of trading volume in a few contracts. Figure 1 clearly shows that most contracts trade at

low volumes in any given year, with roughly 80 percent of contracts showing

little or no volume in any given year since 1954.

8
However, figure 1 obscures substantial variation in the concentration of

volume over time. Figure 2 zooms in on the same annual ECDFs displayed

in figure 1. The ECDF for each year is colored chronologically, with the lines

representing the oldest years in the sample in red and the most recent years

in purple. Each panel of figure 1 shows the same ECDFs, but the years in a

specific decade are highlighted (in black) to give a sense of how concentration

has varied from decade to decade.

In this graphic we see clear patterns in concentration over time. Markets grew steadily less concentrated between the 1950s and 1990s (perhaps

with some retrenchment between the 1980s and 1990s), shown by flattening

ECDFs for each succeeding decade. That trend reversed sharply in the 2000s,

with the annual ECDFs approaching a right angle. In the 1980s the range

of 15,000 to 30,000 roughly marked the 50th percentile for annual trading

volumes, with half of the listed contracts trading above that range and half

below. By the 2000s that range had fallen to between 300 and 8,000.

Figure 2 itself highlights one likely cause of this shift - the explosion

of innovation during the 2000s. The ECDFs for the 2000s are appreciably

smoother than those of previous decades, with 2011 looking almost like a

continuous function. This smoothness is due to the inclusion of additional

contracts. Figure 3 directly displays the number of contracts with annual

reported volume (which is allowed be zero) in the sample by year. It shows the

same explosive trend in innovation discussed in Gorham and Kundu (2012),

with over 3000 derivatives contracts reporting annual volume in 2011.

4.2. Probability of individual contracts moving to different levels of trading by decade

Figures 4 and 5 give the probabilities of individual contracts moving between volume levels in a given year t (indicated by the row of estimates)

and volume levels in year t+1 (indicated by the column of estimates). These

probabilities, estimated separately for each decade in the sample via equation

9
0.5

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0.7

0.8

0.9

1.0

1950's 1960's 1970's 1980's 1990's 2000's 2011

0e+00 1e+06 2e+06 3e+06 4e+06 5e+06

Annual volume

Empirical CDF

1960

1970

1980

1990

2000

2010

Year

Fig. 2. Empirical cumulative distribution function (ECDF) of annual trading

volumes by contract with scale adjusted to distinguish between decades -

Each line represents the ECDF for a different year. Each of the stacked

panels highlights the years in a particular decade in black. Note that an

ECDF approaching a right angle represents a year in which volume was

concentrated in a few contracts. Hence, with some exceptions in the 1990s

the market as a whole becomes less concentrated, until the 2000s when it

abruptly becomes highly concentrated.

10
0

1000

2000

3000

1960 1970 1980 1990 2000 2010

Year

Derivatives in sample

Fig. 3. Number of contracts in sample by year

11
4, combine to form the transition matrix for a Markov model of a contract

emerging over time.

The parameter estimates indicate that there is substantial inertia across

every decade keeping contracts with a given level of trading volume at that

same volume in the following year. In virtually all decades in the sample,

contracts trading at or above 1,000 in annual volume were more likely to

remain at their trading volume level than to move up or down. This dynamic

is particularly strong at higher levels of trading. In most decades where

relevant observations were available, contracts with annual volume of one

million or above remained in that range the following year with probabilities

between ∼80 and ∼90 percent (see lower right-hand corner of figure 5).

We also see substantial historical evidence of inertia at very low levels of

trading. From 1970 until 2000, the median probability that a contract with

trading volume of zero would remain at zero the next year, ranged between

80 and 95 percent (see upper left-hand corner of figure 4).

The transition matrix begins to depart from the prevailing story in Silber

(1981) and Carlton (1984) when you look at contracts at lower levels of

trading in the 2000s. (See the top rows of figure 4.) The inertia for those

contracts is lower than in previous decades, with the median probability of a

contract at an annual volume of zero remaining at zero falling to 70 percent

(figure 7). While zero volume contracts remained unlikely in absolute terms

to rise to higher volume levels, the 95 percent probability interval for the

transition probability for the 2000s does not overlap with those for recent

decades, meaning that the difference holds with high probability.

During the decade of the 2000s, contracts were substantially more likely

to jump from an annual trading volume of 0 to trading volumes between 10

and 1000 than in previous decades. (See top row of figure 4 and 8.) Combined

with the apparent trend toward maintaining rather than delisting contracts,

this suggests that there was less path-dependence for trading volumes in the

2000s. While more contracts traded at a volume of 0 in any given year (see

12
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

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1950

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vol 0, year t vol 1's, t vol 10's, t vol 100's, t vol 1000's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Decade

Fig. 4. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by decade - row represents state

in year t, column represents state in year t + 1, median estimate indicated

by dot, 95 percent probability interval indicated by line - part 1: transitions

given annual volumes ≥ 0 and < 10, 000

13
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

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1950

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1990

2000

2010

1950

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1980

1990

2000

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vol 10^4's, t vol 10^5's, t vol 10^6's, t vol 10^7's, t vol 10^8's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Decade

Fig. 5. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by decade - row represents state

in year t, column represents state in year t + 1, median estimate indicated

by dot, 95 percent probability interval indicated by line - part 2: transitions

given annual volumes ≥ 10, 000

14
vol 0, year t+1

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0.53

0.6

0.89

0.93

0.82

0.7

0.46

1950

1960

1970

1980

1990

2000

2010

vol 0, year t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 6. Probability of remaining at annual volume of zero from year to year

by decade

15
vol 0, year t+1

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0.53

0.6

0.89

0.93

0.82

0.7

0.46

1950

1960

1970

1980

1990

2000

2010

vol 0, year t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 7. Probability of remaining at annual volume of zero from year to year

by decade

vol 1's, t+1

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0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

vol 10's, t+1

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1950

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1980

1990

2000

2010

vol 1's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 8. Probability of transition from annual volume of 0 to annual volume in

the single digits (left) and from annual volume in the single digits to annual

volume ≥ 10, < 100 (right)

16
vol 100's, t+1

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1950

1960

1970

1980

1990

2000

2010

vol 10's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

vol 1000's, t+1

●

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0.1

1950

1960

1970

1980

1990

2000

2010

vol 100's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 9. Probability of transition from annual volume in the hundreds to annual volume in the thousands (left) and from annual volume in the thousands

to annual volume tens of thousands (right)

figure 2), contracts were substantially more likely to jump up from such low

trading volumes in the 2000s.

Having reached annual trading volumes in the 10s or 100s (see 9), contracts in the decade of the 2000s were again substantially more likely to

continue increasing their trading volume in the 2000s than in the 1980s or

1990s. Only after reaching trading volumes in the 1000s (figure 10) did the

probability of an individual contract progressing to higher levels of annual

trading volume fall roughly back within the same range as those from previous decades. In the 2000s, contracts generally moved up to annual trading

in the thousands with an ease not seen in previous decades.

Contracts trading in the tens of thousands were 8 percent more likely

to fall back to lower levels of annual volumes in the 2000s than in previous

decades, a difference that holds with high probability. This indicates that

some of the flexibility gained for contracts at lower levels of trading may have

come at the expense of contracts at mid to high levels of trading. (However,

as we see in figure 13, discussed below, that retrenchment from trading in

the tens of thousands was not enough, on balance, to lower the prospects of

a new contract over the course of ten years.)

Annual trading in the 10,000s appears to represent an important milestone for contracts across the sample. Having reached this level of trading,

17
vol 10^4's, t+1

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0.11

0.12

0.14

0.17

0.18

0.1

1950

1960

1970

1980

1990

2000

2010

vol 1000's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 10. Probability of transition from annual volume in the tens of thousands

to annual volume in the hundreds of thousands

18
































volume level vol 0’s, t+1 1 10 100 1000 104 105 106 107 108

vol 0’s, t 0.66 0.08 0.11 0.09 0.03 0.02 0.00 0.00 0.00 0.00

1 0.56 0.16 0.16 0.08 0.03 0.01 0.00 0.00 0.00 0.00

10 0.42 0.12 0.21 0.18 0.06 0.02 0.00 0.00 0.00 0.00

100 0.20 0.05 0.17 0.38 0.17 0.03 0.00 0.00 0.00 0.00

1000 0.10 0.01 0.05 0.20 0.47 0.15 0.01 0.00 0.00 0.00

104 0.04 0.00 0.01 0.03 0.19 0.62 0.10 0.00 0.00 0.00

105 0.01 0.00 0.00 0.00 0.02 0.14 0.74 0.08 0.00 0.00

106 0.01 0.00 0.00 0.00 0.01 0.01 0.08 0.84 0.04 0.00

107 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.90 0.03

108 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.87

































Table 1: [

180pt]Median estimates of transition matrix between volume states on full

sample - with annual trading volume state in year t denoted by row, trading

volume state in year t denoted by column

the likelihood of outright collapse (annual trading volume falling to 0 in the

next year) fell to very low levels and was largely indistinguishable across the

decades (figure 11). Table 1 presents the median estimates of transition probabilities estimated across the full sample (i.e. aggregating across decades).

They show clearly that having reached annual trading of in the 10,000s, a full

collapse becomes relatively unlikely (4 percent). In fact, for contracts that

achieve annual trading in the 10,000s, the probability of falling more than

one volume level is below 10 percent. (See the sixth row of table 1.) Note

that these full sample estimates are biased toward recent decades because

the sample contains more observations from recent decades.

As suggested above, one hypothesis regarding the recent shift in derivatives lifecycles is that the additional flexibility that low volume contracts

enjoyed in the 2000s came directly at the expense of mid-range to higher

volume contracts. In volatile markets, hedgers might be choosing niche contracts with lower basis risk over more liquid cross-hedges. What would that

mean for the overall outlook for lifetime trading of derivatives? We test this

19
vol 0, year t+1

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vol 10^4's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Decade

Fig. 11. Probability of transition from annual volume in the tens of thousands

to annual volume of 0

20
by looking at the expected trading volume of a new derivative over the course

of ten years.

Combining draws from the transition matrix in figures 4 and 5 with draws

from a vector representing the probability of a contract starting in each of

the available states of annual trading volume (estimated using the same basic

model presented in equation 4) we can get the probability that a new contract

will be in any given state of volume after ten years of trading. Those values

are displayed in figure 12. Figure 12 makes clear the resilience of contracts

trading at low levels in the 2000s. Only 32 percent of contract that debuted

with zero volume were still trading at zero volume after ten years in the

simulation representing the 2000s. Those probabilities were 46, 48, and 52

percent in the 1990s, 1980s and 1970s respectively (See the first column

of boxes in figure 12).3Instead of languishing, contracts simulated from the

2000s were more likely to migrate over ten years to moderate levels of trading.

(See the columns of boxes in figure 12 corresponding to annual trading volume

between 100 and 10,000.) Those same contracts were, however, less likely to

reach the highest levels of trading (≥ 100, 000) than contracts from other

decades. The 1980s appears to be the best decade for such blockbuster

contracts, as suggested in Gorham and Kundu (2012).

Simply comparing the raw probabilities of reaching various levels of volume after ten years, it is difficult to discern which decade provided a better

overall environment for new contracts. To make that comparison, we normalize the probabilities in figure 12 by the lower bound of each trading range (i.e.

multiplying the probability of being in the trading state ≥ 100 and < 1, 000

by 100). This give an approximation of the expected trading volume of a

new contract after ten years, displayed in figure 13. Based on that graph, we

can conclude:

3Note these simulated values simply describe the dynamics of the transition matrices

when compounded. They ignore delisting. If we accounted for delisting, a practice that

was more common in previous decades, the probabilities of failure would likely be higher

for those decades.

21
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0.4

0.6

0.0

0.2

0.4

0.6

0.0

0.2

0.4

0.6

0.0

0.2

0.4

0.6

0.0

0.2

0.4

0.6

0.0

0.2

0.4

0.6

1950 1960 1970 1980 1990 2000 2010

vol 0, year 10vol 1's, year 10vol 10's, year 10vol 100's, year 10vol 1000's, year 10vol 10^4's, year 10vol 10^5's, year 10vol 10^6's, year 10vol 10^7's, year 10vol 10^8's, year 10

Volume level

Pr(Being in a given state after 10 years

Fig. 12. Box and whiskers plot of probability of a new contract being at

different levels of trading after 10 years by decade - median simulated probability marked in text, upper and lower hinges of the box plot correspond to

the first and third quartiles (the 25th and 75th percentiles) 22
• The expected trading volume after 10 years for a contract has varied

substantially from decade to decade;

• There is no clear trend that emerges from these variations over time;

• The expected trading volume at year ten for a contract in the 2000s

was firmly in the middle of the historical range - the 2000s were lower

than the 1980s, higher than the 1990s, and all three decades showed

substantial overlap with the earlier decades in the sample;

• In the 2000s, low volume contracts tended to rise to modest levels of

trading, balancing any fall in the probability of reaching the highest

trading levels.

●

●

●

●

●

●

●

1960

1980

2000

1e+05 1e+06

Expected volume after 10 years

Decade

Fig. 13. Expected trading volume over ten years by decade

While a larger percentage of contracts were at low volumes in the 2000s

23
than in previous decades (figure 1), individual contracts were considerably

more likely to jump up from very low volumes to moderate volumes (figure

8). The net effect of these trends set the expected volume of contracts at

year ten well within the historical range of earlier decades (figure 13). This is

remarkable given the explosion in the number of contracts launched (figure 3).

It suggests that the marginal value of an innovative contract (approximated

by its expected trading volume at year ten) did not fall in the 2000s, despite

exponentially higher rates of innovation than in past decades.

This shift is consistent with the hypothesis that electronic trading made

trading activity more mobile across derivatives markets and substantially

cut the costs of launching and sustaining a derivatives contract. But changes

went above and beyond the introduction of electronic trading on US and

European exchanges in the 2000s, making it difficult to identify the causes of

product lifecycle shifts in aggregate statistics. For example, many of the new

contracts launched in the 2000s (and included in this sample) are bilaterallynegotiated, but centrally-cleared swaps. In the wake of Enron’s collapse,

which threatened energy firms with counter-party defaults on their swaps

trades, exchanges launched popular new facilities devoted to these clearedswaps, including the CME’s ClearPort. While those contracts benefited from

a suite of tools associated with electronic trading, they were not subject to

electronic trading in the narrow sense of actually having buy and sell orders

matched on an electronic platform.

To isolate the influence of electronic trading, we look at contracts trading

on the New York Mercantile Exchange (NYMEX), where electronic trading

was introduced suddenly. The NYMEX does not offer an ideal natural experiment. Its trading patterns were likely influenced by the shift toward cleared

swaps throughout the 2000s. However, the abruptness of the exchange’s

switch to electronic trading does offer some scope for teasing out the relative

import of electronic trading.

24
5. Derivatives volumes by exchange

Differences in trading volume patterns over the life of a derivatives contract may be influenced by the exchange offering the contract. Carlton (1984)

hypothesized that economies of scale in designing and launching a contract

gave those on larger exchanges a relative advantage in terms of trading volumes. Similarly, there may be network effects stemming from an exchange’s

ability to cross-margin trades.

Cuny (1993) and Holland and Fremault (1997) suggest that innovative

exchanges may enjoy a first-mover advantage, capturing a disproportionate

share of trading on those contracts that they launch. Gorham and Kundu

(2012) tests this hypothesis and finds little persistent advantage. In the

context of a Markov model of trading volumes, if indeed there is a firstmover advantage, then we would expect innovative exchanges to distinguish

themselves with higher expected trading in year ten.

Figure 14 presents expected volume in year ten for contracts on all exchanges in the sample. Contracts show greater distinction across decades (as

in figure 13) than across exchanges. It is possible to distinguish individual

exchanges from one another. For example, contracts on the Chicago Board of

Trade have an advantage over those on the NYMEX in expected value terms.

But no exchanges clearly distinguish themselves from the general tendency

with greater than 95 percent probability. Possible exceptions include:

• the single-stock futures traded on OneChicago which show particularly

low expected trading volumes over ten years

• the two registered exchanges in the IntercontinentalExchange group,

marked ICE and ICEU in figure 14, which likely have higher expected

trading volumes than most other exchanges. It is important to note

that these exchanges specialize in OTC markets, only a handful of

which have been reported to the CFTC as futures. Consequently, some

25
of their performance may represent selection bias.4

5.1. CME acquisitions test the important of exchange to lifecycles

Recent exchange acquisitions offer the chance to test the effects of particular exchanges on trading volumes. Gorham and Kundu (2012) singled

out the CME as the exchange with a persistent advantage over its rivals -

leading other major exchanges in mean volume in the 5th year of trading,

mean lifetime volume, and their approximations of present value discounted

fee generation. In the late 2000s, the CME Group effectively5took over both

the New York Mercantile Exchange (designated in the database as NYME

but commonly referred to as the NYMEX) and the Chicago Board of Trade

(CBT). After the acquisitions, the exchanges’ contracts continued to be reported as before (i.e. NYMEX contracts continued to be reported in the

dataset as NYMEX contracts).

If indeed the CME did enjoy a persistent advantage on multiple volume

metrics, then presumably the transition matrices for NYMEX and CBOT

contracts, calculated using the Markov models profiled here, would improve

following their acquisitions. These acquisitions could also test a weaker

form of that same hypothesis. If exchange management is important to

contract lifecycles, then the CBOT and NYMEX’s contracts’ transition matrices should converge to the CME’s, regardless of whether the CME has an

advantage over other exchanges or not.

Figures 15 and 16 for the NYMEX and ??’s figures ?? and ?? present

the transition matrices for each of the merged exchanges in the years before

4

In late 2012, the IntercontinentalExchange announced that many of its most popular

OTC contracts will begin trading as futures.

5Technically, the CME and CBOT merged. However, the CME was the dominant firm

in the merger, initiating the transaction and retaining most of the key staff positions.

Olson (2010) provides an inside account of the fight between the CME and ICE for control

of the CBOT.

26
●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

Exchange

27
and after the merger.6

The CBT’s transition matrices (??’s figures ?? and ??) show no consistent

trends in post-merger years relative to the earlier years in the sample. Postmerger years with strong performance (contracts showing a high probability

of advancing to a higher level of liquidity - such as 2010, where many of the

contracts previously trading with annual volumes in the thousands advanced

to the tens of thousands) do not stand out relative to the pre-merger era. To

the extent that the CBT shows any post-merger trend, it stems from 2010,

an especially volatile year for the CBT, where many contracts advanced to

trading in the tens of thousands and a particularly large percentage fell back

from annual volumes in the tens of thousands.

Unlike the transition matrix for the CBT, the NYMEX shows a clear trend

in its transition probabilities. On the rows in figures 15 and 16 indicating

trading volume between ≤ 10 and < 1, 000, 000 (rows three through five in

figure 15 and rows one and two in figure 16), a gradual pattern in volume

level transitions emerges that is strong enough, by the end of the decade,

to hold with high probability. Starting roughly in 2006, the 10s, 100s, and

1000s became sinks (rows three through five in figures 15). The probability

of staying at these levels year on year increases gradually. The probability

of rising out of that range falls. At levels immediately above that sink (rows

one and two in figures 16), the probability of falling into the sink rises at the

clear expense of the probability of staying put or rising. This trend predates,

and is uninterrupted by, the CME merger.

Neither transition matrix support the hypothesis that exchange management is an important factor in lifecycle patterns, much less the hypothesis

that CME’s systems and network effects boost trading volumes substantially

relative to competing exchanges.

6We chose to present the full transition matrix for the exchange-year comparisons rather

than the expected value figures because we believe that the former provide more robust

inference. Expected value calculations are sensitive to the initial trading volumes of the

contracts that happened to launch after the merger.

28
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

0.98

0.35

0.94

0.98

0.46

0.69

0.81

0.58

0.35

0.43

●

●

●

●

●

●

●

●

●

●

0.02

0.02

0.02

0.77

0.53

0.36

0.55

0.66

0.66

0.45

●

●

●

●

●

●

●

●

●

●

0

0

0.5

0.31

0.27

0.36

0.19

0.29

0.32

0.44

●

●

●

●

●

●

●

●

●

●

0

0.21

0.11

0.06

0.19

0.29

0.3

0.18

0.3

0.25

●

●

●

●

●

●

●

●

●

●

0.04

0

0

0

0.1

0.05

0.08

0.16

0.11

0.16

●

●

●

●

●

●

●

●

●

●

0

0

0.01

0

0

0

0

0

0.07

0.05

●

●

●

●

●

●

●

●

●

●

0.73

0.73

0.74

0.15

0.07

0.15

0.39

0.13

0.03

0.21

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.01

0

0

0

0.09

0.03

0

0.04

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.01

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.5

0.08

0.05

0

0.23

0.08

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.01

0

0.34

0

0

0

0.18

0.29

●

●

●

●

●

●

●

●

●

●

0.25

0.25

0.25

0.07

0.25

0.05

0.22

0.35

0.26

0.34

●

●

●

●

●

●

●

●

●

●

0

0

0.13

0.11

0.1

0.07

0.03

0.09

0.12

0.11

●

●

●

●

●

●

●

●

●

●

0.04

0.06

0

0

0

0

0

0

0.01

0.01

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.18

0.11

0.22

0.15

0.2

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.29

0

0.07

0.07

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0.53

0.28

0.44

0.3

0.22

0.27

0.16

●

●

●

●

●

●

●

●

●

●

0.07

0.39

0.21

0.31

0.28

0.33

0.37

0.41

0.44

0.49

●

●

●

●

●

●

●

●

●

●

0

0

0.15

0.1

0.16

0.13

0.08

0.09

0.15

0.22

●

●

●

●

●

●

●

●

●

●

0

0.5

0

0

0

0

0

0.13

0.11

0.02

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.07

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.1

0.11

0.04

0.06

0.13

0

●

●

●

●

●

●

●

●

●

●

0.34

0

0.13

0.41

0.4

0.24

0.29

0.28

0.13

0.13

●

●

●

●

●

●

●

●

●

●

0.07

0.19

0.56

0.48

0.4

0.42

0.48

0.56

0.56

0.52

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.03

0.03

0.14

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0.5

0

0

0

0.04

0

0.09

0

0

0

●

●

●

●

●

●

●

●

●

●

0.32

0.21

0.27

0.06

0

0.04

0

0.02

0.01

0.01

●

●

●

●

●

●

●

●

●

●

0.37

0.71

0.21

0.39

0.33

0.39

0.31

0.19

0.15

0.07

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0.02

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0.5

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0.13

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0.42

0

0.04

0

0

0

0.04

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

vol 0, year t vol 1's, t vol 10's, t vol 100's, t vol 1000's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange−Year

Fig. 15. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by decade - NYMEX before and after

CME merger (announced March 2008, finalized September 2009) and before

and after switch to electronic trading (September 2006) - part 1: transitions

given annual volumes ≥ 0 and < 10, 000

29
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

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●

0

0

0

0

0.06

0.01

0

0.07

0.03

0.06

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.01

0

0.01

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.07

0

0

0

0

0

●

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●

●

●

●

0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0.01

0

0

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0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

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0

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0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

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0

0

0

0.02

0

0

0

0.01

0.01

0.01

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0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0.08

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0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

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0

0

0

0.02

0.04

0.01

0.01

0.03

0

0.05

●

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●

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●

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●

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0

0

0

0

0

0

0

0

0

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0

0

0

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0

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0

0

0

0

0

0

0

0

0

0

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●

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●

●

●

0

0

0.1

0.18

0.08

0.04

0.2

0.22

0.23

0.29

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0

0

0

0.03

0

0.04

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0

0

0

0

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0

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NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

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NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

NYME−2001

NYME−2002

NYME−2003

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NYME−2010

NYME−2001

NYME−2002

NYME−2003

NYME−2004

NYME−2005

NYME−2006

NYME−2007

NYME−2008

NYME−2009

NYME−2010

vol 10^4's, t vol 10^5's, t vol 10^6's, t vol 10^7's, t vol 10^8's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange−Year

Fig. 16. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by decade - NYMEX before and after

CME merger (announced March 2008, finalized September 2009) and before

and after switch to electronic trading (September 2006) - part 2: transitions

given annual volumes ≥ 10, 000

30
5.2. Recent trends in NYMEX lifecycles and the importance of

electronic trading

While they do not show a strong influence from the CME acquisition,

figures 15 and 16 may speak to the influence of electronic trading. Pronounced lifecycle trends on the NYMEX seem to begin in 2006, when the

exchange abruptly switched from open-outcry to electronic trading. These

trends mirror the more general tendency across derivatives markets over the

last decade, with more flexible trading at low volumes, more contracts moving up to modest volumes, and a small decline in the probability of trading

at high levels.

As mentioned above, it is difficult to separate out the effects of electronic

trading per se from those of the whole suite of new tools that arrived with

electronic trading, such as clear swaps platforms. NYMEX, within its specialization in energy contracts threatened by Enron, was a pioneer in cleared

swaps transactions. In 2003, it launched ClearPort, the platform now used

for all of the CME’s cleared swaps trades. ClearPort was marketed as an

electronic trading system because it disseminated information about specialized swaps trades via screens (Reuters News, 2003). However, most cleared

swaps transactions are negotiated bilaterally, over the phone. That means

that ClearPort trades are supported by electronic infrastructure, but they are

not fully electronic. So, while NYMEX’s abrupt shift from pit-based to electronic trading offers a prime opportunity to isolate the influence of electronic

trading on derivatives volumes, the advent of cleared swaps complicates both

the analysis of NYMEX data and the definition of electronic trading.

To the extent that we can identify the influence of fully electronic trading

on its own, then 2006, the year that NYMEX abruptly closed pit trading,

should produce discontinuities in ongoing lifecycle trends. 2006 does indeed

show evidence of a discontinuity. That evidence is not overwhelming, but it

does support the hypothesis that the large changes in derivatives markets in

the 2000s were driven specifically by the switch to electronic trading.

31
6. Derivatives volumes by product type

Figure 17 shows expected value estimates for trading at year ten for each

product type. Derivatives based on US treasuries, and, to a lesser extent,

derivatives based on natural gas and stock indexes enjoy higher expected

volumes than other product types.

The distinction between these strong performers and most of the other

product types in the sample is appreciable but does not hold with high probability. The 95 percent probability interval for each of those high expected

volume product types sits within the upper tails of the distributions for other

product types. The long upper tails that shadow the three top performers are

largely a function of uncertainty in estimating the parameter for relatively

uncommon product types rather than stellar historical performance. They

reflect the fact that we have relatively few observations of derivatives based

on wood products, for example, and so our model allows for the possibility

that out-of-sample wood products may show high trading volumes in the

future.

Major currencies, grains, precious metals, petroleum-related products,

and interest rates not derived from US treasuries define the middle of the pack

for expected year ten volumes. They are joined by a large group of product

types whose expected volumes are subject to great uncertainty, thanks to a

scarcity of data.

Among these average performers, plastics and chemicals may be promising niches for innovation. While their estimated expected volumes are subject

to considerable uncertainty, the data points we have indicate that they are

relatively strong performers.

On the low end of our expected year ten volume estimates are singlestock futures7 and weather derivatives. Both are relatively new product

7This is consistent with figure 14 which shows OneChicago, the exchange specializing

in single-stock futures as a relative under-performer in expected trading volume at year

ten.

32
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BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

Interest Rates − U.S. Treasury

Interest Rates − non U.S. Treasury

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

1e+05 1e+07

Expected volume after 10 years

Subgroup

Fi17Etd tdiltbdt t

33
vol 1's, t+1

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BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 0, year t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Product subgroup

vol 10's, t+1

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BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 1's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Product subgroup

Fig. 18. Probability of transition from annual volume in the hundreds to annual volume in the thousands (left) and from annual volume in the thousands

to annual volume tens of thousands (right) by product type

34
vol 100's, t+1

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BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 10's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Product subgroup

vol 1000's, t+1

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BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 100's, t

0.00 0.25 0.50 0.75 1.00

Pr(year−on−year move)

Product subgroup

Fig. 19. Probability of transition from annual volume in the hundreds to annual volume in the thousands (left) and from annual volume in the thousands

to annual volume tens of thousands (right) by product type

35
types with many correlated contracts launched in recent years. Interestingly,

these contract types appear to under-perform relative to some product types

like yield insurance and emissions in which trading was effectively smothered

by external events (the proliferation of subsidized crop insurance in the US in

the case of yield insurance and the failure of the US to consistently promote

cap-and-trade legislation in the case of emissions).

Interestingly, single-stock futures and weather derivatives were more likely

than most other product types to climb up from low levels of trading volume.

Figures 18 and 19 present the probability of any contract moving to higher

levels of annual trading volume for each product type in the sample. Singlestock futures are particularly likely to recover from years of zero trading

volume and weather derivatives are particularly likely to move up to annual

trading volumes in the thousands. (See ??’s figures 25 and 26 for additional

details.) Insofar as these product types move fluidly up and down from

low levels of annual trading volumes they are representative of recent trends

across derivatives markets.

7. Conclusions

In this article we have presented a comprehensive analysis of trading

volumes for derivatives reported to exchanges in the United States. Looking

across decades, exchanges, and product types we see multiple trends that

challenge or significantly modify findings of existing studies.

While a larger percentage of contracts had little or no volume in any given

year of the 2000s, contracts did not fail at the high rates noted in previous

analyses. Instead, they remained at low levels of trading until they were

needed, transitioning back into active trading with greater probability than

in previous decades. Interestingly, this flexibility from low levels of trading

meant that the long term outlook for a new contract did not erode despite

remarkable levels of new contract innovation. During the 2000s the expected

36
volume of a new contract after ten years was above that of the 1990s and

within the range of previous decades. On balance, the explosion of innovation

catalyzed by electronic trading did not hurt the prospects for the marginal

contract.

We find that expected year ten trading volumes varied more decade to

decade than from exchange to exchange or product type to product type. In

particular, the lifecycle of a derivative on any given exchange was largely indistinguishable from that on any other, with the likely exception of OneChicago,

which specializes in single-stock futures.

We find evidence that the decadal changes in derivative lifecycles were

driven by the switch to electronic trading rather than the consolidation of

exchanges by looking at trends on the New York Mercantile Exchange. The

effects of electronic trading are difficult to separate from the the related innovation of cleared swaps. However, trends in NYMEX volumes following

the 2006 launch of widespread electronic trading tentatively support the hypothesis that electronic trading is indeed driving recent trends in derivatives

lifecycles across all sampled markets.

7.1. The statistical characteristics of derivative volumes

In addition to facilitating quick distributional comparisons across various

contract groupings (decade, exchange, and product type), our framework

(Markov models) allows us to explore some basic questions about derivative

markets in general. For example, based on our Markov models it appears

that trading volumes do not follow a normal or log-normal random walk over

time. In figures 4 and 5 it is clear that the probability of remaining at a given

level of annual volume varies dramatically from one level to the next. These

differences hold with greater than 95 percent probability as do variations

in the volume dynamics across time (indicating that normal or log-normal

models of trading volume would suffer from stationarity problems as well).

Furthermore, switches to higher and lower levels of trading are often not

37
symmetric. In particular, an outright crash to zero trading volume appears

more likely than would be predicted by a symmetrically distributed random

walk.

However, our analysis does affirm the common observation that it is unusual for a contract to experience initial popularity and to crash subsequently

(Johnston and McConnell, 1989). After reaching a trading volume in the tens

of thousands, the probability that a contract will have annual trading volume

of zero in the subsequent year drops appreciably.

7.2. Optimal contract innovation

Much of the literature on derivative innovation focuses on the problem of

choosing the optimal derivatives contract to launch next. This analysis does

not directly address that question, but it does present some trends relevant

to previous theoretical work which could inform further investigation.

One interpretation of Duffie and Jackson (1989) provides that revenue

maximizing marginal innovations are uncorrelated with existing contracts.

However, recent trends suggest that one of the key assumptions underlying

this finding only holds weakly. Historically, correlated contract innovations

have not shown diminishing marginal volumes. In general, innovation in

derivatives markets has exploded in the last decade seemingly without dragging down expected trading volumes at year ten. Indeed, some of the highest

volume product types (in expected volume terms) are highly correlated both

to other derivatives of their product category but also to the average returns

of the economy as a whole (US treasuries and stock indexes).

Tashjian and Weissman (1995) explains the proliferation of correlated

(and often redundant) contracts as a form of price discrimination. They assume, that an exchange can charge higher fees on the transaction for parties

with larger and more concentrated exposure to a given underlying index.

This framework for understanding product innovation holds up well in light

of recent trends. As we have discussed, many recently launched contracts are

38
cleared swaps, which tend to be more specialized than conventional futures

or options. As Tashjian and Weissman (1995) predicted, exchanges charge a

substantial premium on these specialized transactions. Fees on CME’s ClearPort platform were more than 350 percent those on conventional electronic

futures trades as of late 2012 (CME Group, 2012). However, Tashjian and

Weissman (1995) suggested that exchanges would charge more for singleasset-based derivatives (such as gold) than for derivatives that represented

the holding of multi-product firms (like the crack-spreads used to reproduce

petroleum refiners’ returns). In practice, cleared-swaps contracts, with their

relatively high fees, appear to be biased toward the latter.

A third explanation of recent patterns in derivative innovation is psychological. Based on Tversky, Kahneman, et al. (1981), Shiller (1994) suggests

that a hedge “appears more attractive when it’s presented as the elimination

of risk rather than when it is described as the reduction of risk.” This tendency to overvalue hedges tailored to the needs of specific firms may explain

the proliferation of correlated contracts (and their relative success) above and

beyond the price discrimination suggested in Tashjian and Weissman (1995).

7.3. What kind of economic goods are derivatives?

The present analysis could also suggest new ways of understanding the

economic value of derivatives. If indeed derivatives are simply contingent

contracts that move cash flows across time and states of nature, then they

should derive all their value from the way that they mesh with hedger’s risk

preferences. It follows from that idea, that if risk preferences remain stable

over time, then derivative trading patterns should also remain stable.

But trading patterns have not been stable over the last decade. Instead,

they bear a striking qualitative resemblance to those of information goods,

particularly media:

• Each class of economic goods was, until recently, simple to classify:

normal goods with elastic demand and network effects.

39
• Starting a new derivatives market, just like producing a new music album or launching a magazine, was a high risk, high reward proposition.

• In the last decade both saw paradigm shifts in their marginal cost

structure (i.e. there were fundamental changes in supply).

• At the same time, new technologies allowed consumers ubiquitous access to goods (i.e. there were also fundamental changes in demand).

• After those twin revolutions, markets:

- Rewarded specialty products more than in the past;

- Hosted blockbusters as large as/larger than ever;

- Did not offer the same opportunities for strong but less-thanblockbuster products.

In media (and informational goods more generally) this transition has

upended many long-profitable business models and catalyzed a great deal of

innovation. In derivatives it has certainly opened up the door to many new

entrants like ICE, which now is one of two large futures exchanges in the US

today. But it is not clear whether those new entrants are using fundamentally

new business models.

How strong is the parallel? Should economists study derivatives alongside informational goods? What does the possible connection suggest for

the future of derivatives? We believe that these questions provide a solid

foundation for future research.

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Largest Economic Risks. Clarendon Press.

Silber, W., 1981. Innovation, competition, and new contract design in futures

markets. Journal of Futures Markets 1, 123–155.

Tashjian, E., Weissman, M., 1995. Advantages to competing with yourself:

Why an exchange might design futures contracts with correlated payoffs.

Journal of Financial Intermediation 4, 133–157.

Tversky, A., Kahneman, D., et al., 1981. The framing of decisions and the

psychology of choice. Science 211, 453–458.

42
































volume level 0 1 10 100 1000 104 105 106 107 108

0 0.78 0.14 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

1 0.16 0.63 0.14 0.01 0.01 0.01 0.01 0.01 0.01 0.01

10 0.01 0.16 0.63 0.14 0.01 0.01 0.01 0.01 0.01 0.01

100 0.01 0.01 0.16 0.63 0.14 0.01 0.01 0.01 0.01 0.01

1000 0.01 0.01 0.01 0.16 0.63 0.14 0.01 0.01 0.01 0.01

104 0.01 0.01 0.01 0.01 0.16 0.63 0.14 0.01 0.01 0.01

105 0.01 0.01 0.01 0.01 0.01 0.16 0.63 0.14 0.01 0.01

106 0.01 0.01 0.01 0.01 0.01 0.01 0.16 0.63 0.14 0.01

107 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.16 0.63 0.14

108 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.16 0.76

































Table 2: Priors on transition between volume states - with annual trading

volume state in year t denoted by row, trading volume state in year t denoted

by column

43
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.59

0.56

0.52

0.94

0.94

0.76

0.94

0.6

0.85

0.94

0.94

0.94

0.65

0.67

0.79

0.35

0.57

0.6

0.35

0.57

0.88

0.94

0.41

0.35

0.94

0.94

0.94

0.96

0.97

0.95

0.94

0.94

0.21

0.94

0.94

0.94

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.52

0.72

0.13

0.55

0.9

0.64

0.01

0.59

0.74

0.02

0.02

0.02

0.45

0.43

0.02

0.77

0.02

0.38

0.34

0.77

0.7

0.02

0.56

0.42

0.02

0.61

0.6

0.61

0.02

0.02

0.61

0.02

0.25

0.02

0.77

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0.04

0

0.01

0.01

0.06

0.01

0.06

0.01

0.01

0.01

0.01

0

0.04

0

0

0

0.16

0

0

0

0.01

0

0.6

0.01

0.01

0.01

0

0

0

0.01

0.01

0.76

0.01

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0.07

0.06

0.1

0.07

0.13

0.25

0.14

0.07

0.74

0.73

0.74

0.09

0.12

0.74

0.15

0.74

0.28

0.25

0.15

0.16

0.74

0.13

0.08

0.73

0.25

0.21

0.25

0.74

0.74

0.25

0.74

0.45

0.74

0.14

0.73

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.16

0.12

0

0

0

0

0

0.12

0.06

0

0

0

0.13

0.19

0

0.51

0.16

0.15

0.5

0.15

0

0

0.13

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0.13

0.6

0

0

0.06

0

0.14

0.02

0.01

0.01

0.01

0.05

0.16

0.01

0

0.01

0.31

0

0

0

0.01

0.08

0.42

0.01

0

0.13

0

0.01

0.01

0

0.01

0

0.01

0

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.05

0.15

0.05

0

0

0.05

0

0.16

0.06

0

0

0

0

0.07

0

0

0.16

0

0

0.15

0.1

0

0.28

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.09

0.04

0.11

0.21

0

0.08

0.5

0.1

0

0

0

0

0.05

0.24

0

0

0

0

0.32

0

0

0

0.07

0

0

0

0

0

0

0

0

0

0.09

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.06

0.19

0

0

0.11

0

0.03

0

0

0

0

0

0.01

0

0

0

0.04

0

0.06

0

0

0.13

0

0

0

0

0

0.03

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.03

0.01

0

0

0

0.02

0

0.01

0.11

0

0

0

0.24

0

0

0

0

0

0

0

0.09

0

0

0

0

0

0

0

0

0

0

0

0.1

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.05

0.12

0

0

0

0

0.01

0.01

0

0

0

0.13

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.03

0

0.04

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.01

0

0

0

0

0

0

0.02

0

0

0

0.05

0

0

0

0

0

0

0

0

0

0.07

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.01

0.05

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.02

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.16

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

vol 0, year t vol 1's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange

Fig. 20. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by exchange - part 1: transitions

given annual volumes ≥ 0 and < 10

44
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.4

0.39

0.19

0.81

0.7

0.56

0

0.39

0.45

0

0

0

0.41

0.45

0

0.16

0.56

0.58

0.26

0.48

0.62

0

0.58

0.62

0

0

0.54

0.3

0.3

0.58

0

0.79

0.44

0.3

0

0.5

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.14

0.23

0.12

0.55

0.64

0.33

0.3

0.25

0.27

0

0

0

0.15

0.19

0

0.28

0.41

0.13

0.09

0.35

0.29

0

0.14

0

0

0

0.19

0.16

0

0.58

0

0.42

0.14

0.16

0.3

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.14

0.04

0.08

0

0

0.15

0.02

0.08

0.04

0.02

0.02

0.02

0.09

0.08

0.02

0.08

0.1

0.13

0.29

0.03

0.15

0.02

0.05

0

0.02

0.02

0.13

0.36

0

0

0.02

0

0.22

0

0.36

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0.01

0

0

0

0.02

0.3

0.03

0.06

0

0

0

0.08

0.04

0

0.05

0

0.05

0.09

0

0.1

0

0.14

0.51

0

0.5

0.07

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.22

0.25

0.26

0.02

0.22

0.19

0.73

0.21

0.14

0.74

0.74

0.74

0.16

0.3

0.74

0.13

0.28

0.04

0.36

0.22

0.11

0.74

0.13

0.08

0.74

0.74

0.23

0.15

0.43

0.36

0.74

0.11

0.28

0.15

0.56

0.25

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.21

0.11

0.08

0.08

0

0.27

0

0.12

0.13

0.02

0.02

0.02

0.09

0.19

0.02

0.14

0.08

0.3

0.25

0.09

0.3

0.01

0.34

0.01

0.02

0.01

0.19

0

0.19

0.13

0.02

0.13

0.31

0.19

0.36

0.61

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.17

0.23

0.24

0

0.05

0.08

0.01

0.25

0.16

0.01

0.01

0.01

0.09

0.16

0.01

0.18

0

0.19

0

0.2

0.07

0.01

0.21

0

0.01

0.01

0.06

0

0.23

0

0.01

0

0

0.35

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.38

0.4

0.41

0.11

0.29

0.18

0.15

0.42

0.36

0.74

0.74

0.74

0.37

0.28

0.74

0.17

0.29

0.39

0.31

0.29

0.2

0.25

0.28

0.25

0.74

0.25

0.52

0.03

0.81

0.05

0.74

0.05

0.35

0.53

0.15

0.25

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0.06

0.19

0.04

0

0.01

0

0.05

0.11

0

0

0

0.03

0

0

0.36

0

0.02

0

0.03

0

0

0

0.16

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.16

0.21

0.39

0.17

0.04

0.14

0

0.17

0.11

0.01

0.01

0.01

0.22

0.19

0.01

0.21

0.16

0.05

0

0.21

0.05

0.6

0.03

0

0.01

0

0

0.75

0

0.13

0.01

0.13

0.15

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.02

0

0.09

0

0

0

0.01

0.04

0

0

0

0.17

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.04

0.03

0

0.07

0

0.02

0

0.01

0.04

0

0

0

0.06

0.07

0

0.05

0

0.05

0

0.05

0

0

0

0

0

0

0

0

0

0

0

0.11

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.01

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

0.03

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0.1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

vol 10's, t vol 100's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange

Fig. 21. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by exchange - part 2: transitions

given annual volumes ≥ 10 and < 1, 000

45
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0.11

0.06

0.42

0.53

0.19

0.3

0.09

0.17

0

0

0

0.05

0.08

0

0.06

0

0.07

0.3

0.25

0.12

0

0.13

0

0.3

0

0.11

0.29

0.3

0

0.39

0.08

0.06

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.03

0.04

0.02

0.29

0.44

0.04

0

0.05

0.05

0

0

0

0.04

0

0

0.01

0

0.04

0.37

0

0

0

0.01

0

0

0

0

0

0

0.16

0

0.09

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0

0.01

0

0.03

0

0.01

0.01

0

0

0

0.02

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0.16

0

0

0

0.09

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.07

0.01

0

0.05

0.05

0.03

0

0.05

0.03

0

0

0

0.06

0.05

0

0.02

0.11

0.07

0

0.05

0.12

0

0.08

0.51

0

0

0.11

0.04

0

0.1

0

0.18

0.06

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.01

0

0

0

0.01

0

0.01

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.27

0.15

0.11

0.15

0.27

0.15

0.36

0.17

0.09

0.02

0.02

0.02

0.1

0.25

0.02

0.13

0.45

0.24

0

0.2

0.06

0

0.13

0.01

0

0.02

0.25

0.1

0

0.52

0

0

0.39

0.61

0.12

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.07

0.02

0

0.11

0

0.03

0

0.03

0.01

0

0

0

0.01

0.08

0

0.05

0.16

0

0

0.04

0.23

0

0

0

0

0

0

0

0

0

0

0.23

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.44

0.49

0.56

0.26

0.09

0.34

0.15

0.56

0.41

0.74

0.74

0.74

0.62

0.55

0.73

0.4

0.05

0.5

0.15

0.38

0.51

0.56

0.53

0.25

0.15

0.73

0.44

0.53

0.56

0.18

0.3

0.46

0.43

0.25

0.72

0.74

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.34

0.18

0.11

0.29

0.34

0.12

0.16

0.16

0.1

0

0

0.01

0.12

0.46

0.02

0.08

0

0.17

0

0.42

0.12

0

0.11

0.02

0.19

0.02

0.18

0.61

0.02

0.2

0.36

0

0.07

0.19

0.26

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.13

0.21

0.26

0.09

0

0.2

0

0.1

0.27

0.01

0.01

0.01

0.13

0.05

0.01

0.26

0.29

0.08

0

0.08

0.13

0

0.09

0

0.35

0.01

0.04

0

0

0.11

0

0.19

0

0

0

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.47

0.63

0.66

0.28

0.16

0.64

0.25

0.62

0.75

0.95

0.1

0.92

0.76

0.4

0.74

0.68

0.53

0.69

0.18

0.32

0.45

0.15

0.8

0.74

0.76

0.73

0.82

0.25

0.74

0.53

0.56

0.45

0.83

0.76

0.68

0.73

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.02

0.01

0.01

0

0.03

0

0.01

0.01

0

0

0

0.01

0

0

0.09

0

0

0.3

0

0

0.29

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0.11

0.2

0

0

0.14

0.53

0.13

0.08

0

0.83

0

0.05

0

0.01

0.15

0.19

0.05

0.38

0.17

0.11

0.76

0.07

0.01

0

0.01

0

0

0.01

0

0

0.11

0.07

0

0

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.02

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

vol 1000's, t vol 10^4's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange

Fig. 22. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by exchange - part 3: transitions

given annual volumes ≥ 1000 and < 10, 000

46
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.01

0

0

0.02

0

0.01

0.01

0

0.42

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

●

●

●

●

0

0.01

0

0

0

0.01

0

0.01

0.01

0

0

0

0

0

0

0.01

0

0.03

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

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●

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●

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●

●

●

●

●

0

0

0

0

0

0

0

0.01

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.11

0

0

0.01

0.01

0

0

0

0

0

0

0

0

0

0.07

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.05

0.01

0

0.5

0.11

0.02

0

0.01

0.02

0

0

0

0.03

0

0

0.02

0

0

0

0.13

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0.06

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.43

0.22

0.12

0.01

0.44

0.06

0.16

0.07

0.14

0.01

0

0

0.09

0.02

0

0.1

0.01

0.03

0

0.34

0

0.25

0.12

0.02

0.02

0.02

0.16

0.02

0.02

0.02

0.02

0.6

0.61

0.36

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.02

0

0.01

0

0.05

0

0

0

0

0

0

0

0

0.14

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.5

0.7

0.76

0.25

0.21

0.81

0.38

0.8

0.76

0.25

0.52

0.95

0.82

0.74

0.25

0.7

0.91

0.9

0.41

0.43

0.56

0.1

0.75

0.74

0.74

0.74

0.8

0.73

0.73

0.74

0.73

0.25

0.25

0.55

0.74

0.73

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.19

0.11

0.02

0.77

0.08

0.39

0.04

0.06

0.29

0.02

0.36

0.15

0.02

0.16

0.04

0.02

0.07

0.15

0.02

0

0.01

0.04

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.05

0.12

0

0

0.09

0.42

0.1

0.06

0.59

0

0

0.03

0.01

0.73

0.17

0

0.06

0.47

0

0.35

0.54

0.09

0.01

0.01

0.01

0

0.01

0.01

0.01

0.01

0

0

0

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.74

0.72

0.87

0.73

0.15

0.8

0.59

0.89

0.92

0.62

0.73

0.56

0.83

0.74

0.82

0.9

0.73

0.88

0.51

0.74

0.76

0.25

0.93

0.73

0.74

0.73

0.74

0.73

0.74

0.73

0.74

0.74

0.73

0.74

0.73

0.73

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.07

0.01

0.01

0

0.08

0

0.04

0.01

0

0.01

0

0

0.01

0

0.05

0.01

0

0.07

0.01

0.19

0.6

0

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

vol 10^5's, t vol 10^6's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange

Fig. 23. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by exchange - part 4: transitions

given annual volumes ≥ 10, 000 and < 1, 000, 000

47
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

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●

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●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.01

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

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●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.3

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.04

0.02

0.02

0.02

0.05

0.02

0.03

0

0.02

0.02

0.61

0.02

0.02

0.01

0.18

0.02

0.02

0

0.02

0.01

0

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.73

0.94

0.73

0.74

0.73

0.9

0.74

0.91

0.99

0.74

0.74

0.25

0.74

0.74

0.25

0.8

0.74

0.74

0.55

0.74

0.91

0.96

0.74

0.74

0.74

0.73

0.74

0.73

0.73

0.74

0.74

0.74

0.74

0.73

0.74

0.74

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0

0.02

0.02

0.21

0.02

0.11

0.02

0.02

0.02

0.02

0.02

0.02

0

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.01

0.01

0.01

0.03

0.01

0.05

0

0.01

0.01

0

0.01

0.01

0.6

0

0.01

0.01

0

0.01

0

0

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.92

0.99

0.98

0.92

0.92

0.79

0.92

0.89

0.92

0.92

0.92

0.92

0.92

0.92

0.98

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

ACE

BCC

C

CBT

CCX

CME

CMX

CRCE

E

ELX

EUR

EUS

GE

ICE

ICEU

ICEX

ICUS

IEPA

KCBT

MCE

MESL

MGE

Memphis

MilGX

N

NOCE

NYBOT

NYL

NYL2

NYME

NYPE

PANY

PBOT

PCE

Seattle

West Coast

vol 10^7's, t vol 10^8's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Exchange

Fig. 24. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by exchange - part 5: transitions

given annual volumes ≥ 1, 000, 000

48
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.58

0.98

0.52

0.72

0.81

0.69

0.44

0.52

0.83

0.53

0.99

0.73

0.53

0.9

0.8

0.74

0.71

0.91

0.69

0.57

0.39

0.63

0.44

0.35

0.66

0.98

0.94

0.99

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.52

0.02

0.58

0.6

0.85

0.6

0.52

0.01

0.51

0.65

0.61

0.91

0.44

0.61

0.54

0.75

0.52

0.79

0.85

0.75

0.22

0.89

0.14

0.84

0.52

0.65

0.01

0.65

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0

0.06

0.08

0.03

0

0

0

0

0

0

0.25

0.02

0

0.03

0.06

0.03

0

0.07

0.19

0.25

0.06

0.25

0

0.16

0

0.01

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0.74

0.1

0.14

0.03

0.21

0.18

0.25

0.17

0.08

0.25

0.06

0.17

0.25

0.09

0.13

0.11

0.05

0.08

0.09

0.28

0.03

0.4

0.1

0.31

0.08

0.25

0.3

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.16

0

0.15

0.06

0.02

0.03

0.21

0.22

0.07

0.04

0

0

0.17

0.07

0.08

0.06

0.07

0.03

0.06

0.16

0.15

0

0.21

0

0.06

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.18

0.01

0.22

0.03

0

0.13

0.11

0.6

0

0.19

0

0

0.14

0

0.05

0

0.22

0.11

0.05

0.06

0.22

0.06

0.44

0

0.11

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.05

0

0.17

0.08

0

0.11

0

0.14

0

0.11

0

0

0.25

0

0.08

0.02

0.07

0.05

0.06

0

0.15

0.2

0

0

0.06

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.09

0

0.06

0.09

0.07

0

0

0

0.2

0

0

0

0.13

0

0.15

0.09

0.06

0

0

0

0.08

0

0

0

0

0

0.51

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0.06

0.04

0.12

0.07

0

0.06

0

0.11

0

0

0.02

0

0

0.04

0.09

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.03

0

0.02

0.05

0

0

0.1

0

0.05

0

0

0

0.05

0

0.1

0

0.02

0

0

0.05

0.08

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0.03

0

0

0.03

0.21

0

0.03

0.13

0

0

0

0

0

0.04

0

0

0.06

0

0

0.05

0

0.5

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0.02

0

0.02

0

0

0

0

0

0

0

0

0.16

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0.03

0.04

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0.03

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 0, year t vol 1's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Commodity subgroup

Fig. 25. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by product type - part 1: transitions

given annual volumes ≥ 0 and < 10, 000

49
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.4

0.5

0.33

0.67

0.77

0.32

0.4

0.48

0.46

0.47

0.64

0.34

0.43

0.42

0.4

0.22

0.48

0.46

0.61

0.32

0.61

0.52

0.03

0.64

0.6

0.32

0

0.19

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.15

0

0.17

0.34

0.45

0.31

0.32

0.26

0.26

0.39

0.31

0.07

0.3

0.13

0.26

0.03

0.11

0.15

0.24

0.09

0.18

0.48

0

0

0.26

0.2

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.14

0

0.05

0.05

0.09

0

0.06

0.03

0.12

0.03

0.08

0.04

0.02

0.13

0.06

0

0.12

0.07

0.17

0.08

0.04

0.13

0.32

0.11

0.09

0.53

0.01

0.2

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0

0

0.06

0.07

0.01

0.06

0

0.03

0

0

0.1

0

0

0.04

0.01

0.06

0.05

0.06

0.13

0

0.02

0.06

0.08

0.04

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.22

0.4

0.28

0.2

0.11

0.11

0.3

0.24

0.1

0.22

0.13

0.33

0.13

0.36

0.17

0.16

0.2

0.22

0.15

0.2

0.15

0.15

0.59

0.18

0.22

0.07

0.25

0.51

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.21

0

0.11

0.13

0.15

0.04

0.1

0.1

0.16

0.09

0.22

0.21

0.1

0.53

0.12

0.04

0.27

0.28

0.15

0.06

0.21

0.13

0.34

0.24

0.26

0.1

0.16

0.45

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.17

0

0.25

0.05

0

0.32

0.13

0.18

0.21

0.2

0.08

0.04

0.36

0

0.17

0.32

0.17

0.18

0.04

0.25

0.17

0.13

0.03

0

0.04

0

0.59

0.06

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.38

0.15

0.45

0.31

0.17

0.31

0.27

0.36

0.25

0.29

0.33

0.49

0.41

0.25

0.35

0.55

0.46

0.43

0.28

0.45

0.41

0.17

0.58

0.6

0.29

0.34

0.8

0.52

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0

0.07

0.01

0

0.15

0

0.03

0.07

0.06

0

0.17

0.05

0

0.07

0.22

0.01

0.02

0

0.06

0

0.03

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.16

0.76

0.23

0.1

0.08

0.28

0.07

0.2

0.22

0.2

0.12

0.1

0.19

0

0.19

0.34

0.05

0.03

0.17

0.2

0.18

0.16

0

0.04

0.1

0.26

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0

0

0

0.06

0.05

0

0

0

0

0.03

0

0

0.09

0.03

0

0.02

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.04

0

0.03

0.01

0.05

0.03

0.13

0.06

0.03

0.02

0

0

0

0

0.02

0

0.02

0.03

0.03

0.02

0

0.02

0

0

0

0.04

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.01

0

0.01

0

0

0.01

0

0

0

0

0

0.01

0

0

0

0.03

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 10's, t vol 100's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Product subgroup

Fig. 26. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by product type - part 2: transitions

given annual volumes ≥ 10 and < 1, 000

50
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.07

0.13

0.07

0.17

0.42

0.14

0.37

0.19

0.03

0.11

0.5

0.02

0.09

0

0.11

0.15

0.05

0.06

0.11

0.05

0.05

0.17

0

0.03

0

0.12

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.04

0

0.02

0.05

0.13

0.04

0.13

0

0.02

0.04

0.32

0

0

0.11

0.05

0.02

0.03

0.05

0.02

0.05

0

0.06

0

0

0.01

0.2

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0

0

0.01

0

0.02

0

0.02

0

0

0

0

0

0

0.02

0.03

0

0.02

0.02

0

0.1

0

0

0

0.03

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.07

0

0.01

0.08

0.04

0.01

0

0.06

0.07

0

0

0.04

0.03

0

0.06

0.04

0.03

0.08

0.07

0

0

0.07

0

0.03

0.07

0.03

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0

0.01

0

0.03

0

0.01

0

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.27

0.16

0.13

0.17

0.09

0.13

0.13

0.2

0.14

0.15

0.08

0.24

0.18

0.29

0.12

0.06

0.13

0.21

0.21

0.24

0.34

0.18

0.02

0.32

0.16

0.29

0.61

0.61

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.08

0

0.01

0.01

0.06

0.02

0.1

0.08

0.03

0.03

0

0.03

0

0

0.02

0

0

0.01

0.01

0

0

0.01

0

0

0.01

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.44

0.62

0.55

0.47

0.29

0.43

0.28

0.4

0.44

0.48

0.25

0.53

0.65

0.68

0.49

0.43

0.66

0.5

0.35

0.57

0.58

0.32

0.74

0.58

0.52

0.4

0.25

0.25

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.34

0.02

0.12

0.15

0.17

0.21

0.17

0.34

0.14

0.17

0.25

0.12

0.43

0.13

0.11

0.1

0.11

0.08

0.19

0.13

0.11

0.04

0.02

0.14

0.16

0.1

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.13

0

0.22

0.1

0.12

0.26

0.08

0.13

0.22

0.21

0.14

0.09

0.05

0

0.2

0.27

0.08

0.1

0.17

0.1

0

0.13

0.01

0

0.21

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.46

0.74

0.67

0.63

0.49

0.6

0.48

0.36

0.62

0.64

0.41

0.75

0.56

0.68

0.73

0.83

0.71

0.71

0.67

0.72

0.86

0.71

0.74

0.8

0.69

0.4

0.74

0.74

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0.01

0

0.01

0.03

0.07

0

0.06

0.03

0

0.04

0

0

0

0.01

0.01

0.02

0.01

0

0

0

0

0

0

0.07

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0.01

0.16

0.13

0.1

0.12

0.07

0.19

0.15

0.11

0

0.07

0

0

0.08

0.03

0.14

0.13

0.09

0.06

0

0.16

0.01

0.05

0.09

0.22

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0.02

0

0.01

0

0

0

0

0

0.02

0

0

0

0.04

0

0

0

0

0

0.02

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0.01

0

0.03

0.01

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0.01

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 1000's, t vol 10^4's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Product subgroup

Fig. 27. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by product type - part 3: transitions

given annual volumes ≥ 1000 and < 10, 000

51
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

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●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0

0.01

0.04

0.02

0

0.07

0

0.02

0.01

0

0

0

0

0.01

0

0

0

0

0

0

0.01

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

0

0

0.01

0.01

0

0

0

0

0.02

0

0

0.02

0

0

0.01

0

0.02

0

0.01

0

0

0

0

0

0

0

0

0

●

●

●

●

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●

●

●

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●

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0

0

0

0.01

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

●

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●

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●

●

●

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●

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●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0.01

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0.01

0

0

0.01

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.02

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.06

0

0

0.02

0

0

0.08

0.11

0.05

0.03

0

0

0

0

0.03

0

0

0

0.01

0

0

0

0

0

0

0.02

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0.02

0

0

0

0

0

0

0

0

0

0.02

0

0

0

0.01

0

0

0

0

0

0.01

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.42

0.02

0.18

0.12

0.05

0.21

0.16

0.29

0.11

0.23

0.02

0.16

0.02

0.02

0.15

0.17

0.05

0.08

0.06

0

0.02

0.05

0.02

0.16

0.02

0.05

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.02

0.04

0

0.01

0

0.03

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0.01

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.5

0.73

0.75

0.64

0.69

0.69

0.54

0.52

0.69

0.61

0.74

0.56

0.74

0.73

0.71

0.73

0.91

0.86

0.85

0.99

0.74

0.87

0.74

0.65

0.82

0.92

0.74

0.74

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.02

0.03

0.08

0.26

0.18

0.11

0.02

0.13

0.24

0.02

0.03

0.02

0.02

0.02

0

0.04

0.06

0.02

0.02

0.02

0

0.02

0.06

0.1

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0.01

0.06

0.14

0.21

0.09

0.12

0

0.11

0.12

0.01

0.25

0.01

0.01

0.07

0.08

0.03

0.05

0.06

0

0.01

0.03

0.01

0.16

0.16

0

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.74

0.74

0.8

0.81

0.6

0.78

0.8

0.73

0.78

0.76

0.73

0.91

0.74

0.74

0.88

0.99

0.89

0.92

0.94

0.74

0.74

0.91

0.74

0.94

0.81

0.74

0.73

0.74

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0.01

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.13

0.06

0.04

0.04

0.06

0.01

0.04

0

0.01

0.02

0.01

0.01

0.06

0

0.04

0.01

0.01

0.01

0.01

0.07

0.01

0

0.06

0.01

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

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●

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●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

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●

●

●

●

●

●

●

●

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●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 10^5's, t vol 10^6's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Product subgroup

Fig. 28. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by product type - part 4: transitions

given annual volumes ≥ 10, 000 and < 1, 000, 000

52
vol 0, year t+1 vol 1's, t+1 vol 10's, t+1 vol 100's, t+1 vol 1000's, t+1 vol 10^4's, t+1 vol 10^5's, t+1 vol 10^6's, t+1 vol 10^7's, t+1 vol 10^8's, t+1

●

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●

●

●

●

●

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0.03

0

0

0

0

0

0

0

0.01

0

0

0

●

●

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●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

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●

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●

●

0

0

0

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

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●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

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●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

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0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

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●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0

0.01

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.02

0.04

0.01

0.09

0.03

0

0.02

0.21

0.02

0.02

0

0.02

0.02

0.04

0.02

0.06

0

0

0.02

0.02

0.01

0.02

0.02

0.07

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

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●

●

●

●

●

●

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.73

0.73

0.93

0.92

0.76

0.92

0.89

0.74

0.77

0.74

0.74

0.95

0.74

0.74

0.95

0.73

0.91

0.98

0.95

0.74

0.74

0.91

0.74

0.74

0.9

0.74

0.73

0.74

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.02

0.02

0

0.08

0.13

0

0.21

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.01

0.01

0.02

0.03

0.13

0.03

0.09

0.01

0

0.01

0.01

0

0.01

0.01

0

0.01

0

0

0

0.01

0.01

0

0.01

0.01

0

0.01

0.01

0.01

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

●

0.92

0.92

0.99

0.92

0.87

0.99

0.79

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

0.92

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

BASE METALS

CHEMICALS

CURRENCY

CURRENCY(NON−MAJOR)

DAIRY PRODUCTS

ELECTRICITY AND SOURCES

EMISSIONS

FIBER

FOODSTUFFS/SOFTS

Fertilizer

GRAINS

INT RATES − NON U.S. TRES

INT RATES − U.S. TRES

LIVESTOCK/MEAT PRODUCTS

NARROW BASED INDICES

NATURAL GAS AND PRODUCTS

OILSEED and PRODUCTS

OTHER AGRICULTURAL

OTHER FINANCIAL INSTRUMENTS

PETROLEUM AND PRODUCTS

PLASTICS

PRECIOUS METALS

REAL ESTATE

SINGLE STOCK FUTURES

STOCK INDEX

WEATHER

WOOD PRODUCTS

Yield Insurance

vol 10^7's, t vol 10^8's, t

0.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.000.000.250.500.751.00

Pr(year−on−year move)

Product subgroup

Fig. 29. Transition matrix for Markov model of derivatives contract moving

between states of annual trading volume by product type - part 5: transitions

given annual volumes ≥ 1, 000, 000

53