yilunzhao/KnowledgeMath huggingface dataset:
Topic: Asset Classes & Derivatives

A note is presently selling for $109.246 for every $100 of face value. If the note's yield to maturity decreases by 25 bps, the note's total price is projected to increase to $110.481. If the note's yield to maturity increases by 25 bps, the note's total price is predicted to decrease to $108.029. What is the note's estimated convexity?
Topic: Asset Classes & Derivatives

What is the per share value of REIT A by utilizing the property subsector average P/AFFO multiple method?

|                               | REIT A     |
| ----------------------------- | ---------- |
| Funds from operations (FFO)  | $ 396,400  |
| Non - cash rents              | $ 56,782   |
| Recurring maintenance-type capital expenditures | $ 78,600   |
|                               |            |
| Shares outstanding            | 73,500     |
| Property subsector average P/AFFO multiple | 17.3x |
Topic: Portfolio Management & Strategy

Fox is currently recruiting an asset allocation analyst and has finished interviewing two applicants, Ambrose Kelly and Catherine Trainor, for the role. Based on the data in Exhibit 1, what is Lennon's economic net worth (in $ millions)?

|    |    |
|----|----|
| Name | Jane Lennon |
| Occupation and Family Structure | She is the morning news anchor for a national broadcasting company, where she has worked for the past 20 years. She is 56 years of age, divorced, and the sole supporter of her two children, Everett, aged 18, and Marshall, aged 14. Marshall suffers from severe medical and developmental issues. |
| Current and Expected Future Employment Income | She currently earns $1 million per year as a broadcaster. She plans on retiring in four years. With typical raises in her industry, she estimates that the present value of her pre-retirement income is $4.5 million. |
| Financial Assets and Liabilities | She has an investment portfolio worth $8 million, which consists of 30% equities and the remainder in fixed-income securities. She also owns $1 million in shares of the broadcasting company she works for, but she is restricted from selling them for two more years. Her primary residence carries no mortgage and was recently valued at $2 million. She also owns a vacation property worth $3 million, with an outstanding mortgage of $1 million. Her defined-contribution pension plan has vested and is valued at $2.5 million. |
| Aspirational Goals and Extended Liabilities | Everett is just beginning university and plans to pursue a medical degree. Lennon plans on paying for his entire education and living expenses as well as providing some assistance in funding his future practice. She believes that these goals will be covered with $1.5 million in present value terms. She has begun the process of setting up a special needs trust to provide lifetime benefits for Marshall that will not interfere with the government benefits that he is eligible to receive. It will be funded with $2 million within the year. She recently received an honorary doctorate from her alma mater and has started the process of endowing a chair in its communications department. She anticipates that the funding will be made available to the university in two years; it has a present value of $1.75 million. The present value of future consumption is estimated to be $9 million. |
Topic: Asset Classes & Derivatives

Let's say the subsequent yearly forward rates were deduced from the yield curve. What would be the spot rate for a four-year period?

| Time Period | Forward Rate |
|-------------|--------------|
| 0y1y        | 0.50%        |
| 1y1y        | 0.70%        |
| 2y1y        | 1.00%        |
| 3y1y        | 1.50%        |
| 4y1y        | 2.20%        |
Topic: Quantitative Analysis & Valuation

The cumulative distribution function for a discrete random variable is displayed in the subsequent table. What is the possibility that Y will assume a value of either 2 or 4?

|   | Cumulative Distribution Function |
|---|---|
| X=x | F(x)=P(X≤x) |
| 1 | 0.15 |
| 2 | 0.25 |
| 3 | 0.50 |
| 4 | 0.60 |
| 5 | 0.95 |
| 6 | 1.00 |
Topic: Market Analysis & Economics

What is the present comprehensive bid rate for delivery of GBP against the CHF in three months for the CHF/GBP forex pair, taking into account the current spot rate and forward points?

| Spot rate (CHF/GBP) | 1.4939/1.4941 |
|---------------------|---------------|
| One month           | -8.3/-7.9     |
| Two month           | -17.4/-16.8   |
| Three month         | -25.4/-24.6   |
| Four month          | -35.4/-34.2   |
| Five month          | -45.9/-44.1   |
| Six month           | -56.5/-54.0   |
Topic: Market Analysis & Economics

What is the value of the Paasche index for the consumption basket showcased in Exhibit 1 for the year 2016?

| Exhibit 1. Consumption Baskets and Price Level Over 2 years |
|-------------------------------------------------------------|

| Time     | 2015 Q   | 2015 P     | 2016 Q   | 2016 P     |
| -------- | -------- | ---------- | -------- | ---------- |
| Soybean  | 110 kg   | $4.8/kg    | 150 kg   | $5.1/kg    |
| Gasoline | 50 liters| $2.62/liter| 80 liters| $3.1/liter |
Topic: Asset Classes & Derivatives

A buyer acquires a nine-year bond with an annual coupon rate of 7% at a price equivalent to its par value. Prior to the receipt of the first coupon, interest rates rise to 8%. After holding the bond for five years, the buyer decides to sell it. Let's assume that the interest rates stayed steady at 8% during the five-year period. How much would the reinvested coupon payments be worth at the end of the holding period per 100 of par value?
Topic: Market Analysis & Economics

In an industry consisting of 5 businesses, the market share data of these businesses was provided for the last quarter. What is the three-firm Herfindahl-Hirschmann Index for this industry?

| Company | Market Share(%) |
|---------|-----------------|
| Mddert  | 45              |
| Nuki    | 35              |
| Pefa    | 10              |
| Serds   | 5               |
| Rsdf    | 5               |
Topic: Asset Classes & Derivatives

XYZ Inc. released a five-year floating-rate note (FRN) that provides a quarterly coupon of three-month market reference rate (MRR) plus 125 bps. The FRN is valued at 96 for every 100 of par value. Given a 30/360-day count convention, evenly arranged periods, and a consistent three-month market reference rate (MRR) of 5%, what is the discount margin for the FRN?
Topic: Market Analysis & Economics

What is the individual earnings (in $ trillions) for a theoretical nation derived from the chosen data in the GDP records?

| Account Name                               | Amount ($ trillions) |
|--------------------------------------------|---------------------:|
| GDP                                        |                 18.0 |
| Wages, salaries, and other labor income    |                  9.0 |
| Taxes                                      |                  3.5 |
| Capital consumption allowance              |                  2.3 |
| Undistributed corporate profits            |                  1.0 |
| Transfer payments                          |                  1.9 |
Topic: Accounting

What will be the 2014 stock-based remuneration cost from the stock grant scheme ($ millions) be, given that since 2010, the yearly executive pay included stock options on the corporation's shares. The enterprise launched a restricted stock grant plan for all non-managerial staff who had been with the enterprise for three years or longer on 1st September 2013. The fair market value of the corporation's shares on the grant date was $4.2 million and the staffer has to stay with the corporation for an additional three years for the shares to vest?
Topic: Accounting

XYZ NY, a home decor purchasing corporation, provides its workers with a defined benefit pension scheme. The data in the subsequent table: The regular pension expense that would be documented in OCI as per IFRS is:

| | |
|---|---|
| **ABC LA retirement plan information  2018** | |
| Current service costs | 320 |
| Past service costs | 150 |
| Employer contributions | 1,200 |
| Benefit obligation at beginning of year | 45,000 |
| Benefit obligation at end of year | 48,395 |
| Plan assets at beginning of year | 40,800 |
| Plan assets at end of year | 44,300 |
| Actuarial loss | 350 |
| Actual return on plan assets | 3,100 |
| Discount rate on plan liabilities | 7.5% |
| Expected rate of return on plan assets | 8.2% |
Topic: Asset Classes & Derivatives

What is the EBITDA interest coverage ratio of Adidas AG as stated in Exhibit 1?

|  |  |
|---|---|
|Exhibit 1. Adidas AG Excerpt from Consolidated Income Statement Year|   |
|Ending 31 December 2010(£ in millions)|   |
|Gross profit|5730|
|Royalty and commission income|100|
|Other operating income|110|
|Other operating expenses|5046|
|Operating profit|894|
|Interest income 25| |
|Interest expense|113|
|Income before taxes|806|
|Income taxes|238|
|Net income|568|
|Additional Information:| |
|Depreciation and amortization:  £249 million| |
Topic: Quantitative Analysis & Valuation

Given the data in the chart concerning four bonds in an investment collection, what is the portfolio's effective duration?

| Par Value   | Bond Price | Coupon | Modified Duration | Effective Duration | Convexity |
|-------------|------------|--------|-------------------|--------------------|-----------|
| $25million  |     105    |  8%    |     7.9           |     8              |   122     |
| $25million  |     100    |  7%    |     8.5           |     8.5            |   154     |
| $20million  |     95     |  5%    |     6.3           |     2              |   87      |
| $30million  |     87     |  0%    |     10.2          |     10.2           |   32      |
Topic: Risk Management

A 2-year zero-coupon bond with a face value of  USD 1,000 is currently valued at USD 952.48. The corporation uses a binomial pricing model with a 1-year time increment for all its valuations. Should interest rates decrease over the forthcoming year, the model predicts the bond's worth to be USD 970, or USD 950 should interest rates increase. Using the risk-neutral probabilities deduced from the model, and assuming the risk-free interest rate is 1% annually, what ought to be the present value of a 1-year European call option on this bond with a exercise price of USD 960?
Topic: Asset Classes & Derivatives

Based on the financial report, what is the FCFF for Company N?

| Company M | $(millions) |
|-----------|-------------|
| Operating income (EBIT) | 2,000 |
| Depreciation expense | 750 |
| Increase in accounts receivable | 1,000 |
| Increase in inventories | 100 |
| Increase in accounts payable | 500 |
| Purchases of PP&E | 600 |
| Borrowing (repayment) | 400 |
| Tax rate | 30% |
Topic: Accounting

Recently, a corporation acquired a warehouse and accompanying equipment like shelving and forklifts for a whole sum of €50 million. This was divided by an evaluator into: Land €10 million, building structure €35 million, and accompanying gear €5 million. For bookkeeping goals, taking into account additional spending like €2.0 million for enhancements to the building’s roof and windows, €0.5 million for internal remodeling to suit their requirements (repositioning walls and doors, addition and removal of dividers, and so forth), and €0.1 million on an orientation and training workshop for employees to familiarize them with the facility, what is the capitalized cost to the building account in millions?
Topic: Market Analysis & Economics

John is contemplating a carry trade between the USD and the Euro. What could be the total USD return on the suggested carry trade, taking into account the spot rates and interest rates?

|    | Today's one-year Libor | Currency pair (Price/Base) | Spot rate today | Projected spot rate in one year |
|----|------------------------|---------------------------|-----------------|---------------------------------|
| USD | 0.80% | CAD/USD | 1.0055 | 1.0006 |
| CAD | 1.71% | EUR/CAD | 0.7218 | 0.7279 |
| EUR | 2.20% |  |  |  |
Topic: Asset Classes & Derivatives

Bond D is a 3-year annual pay bond that offers a 3% coupon rate. Smith determines the potential interest rate paths for Bond D as shown in the Exhibit below. According to the Exhibit, what is the current value of Bond D's cash flows if we follow Path 2?

| Path | Time 0 | Time 1 | Time 2 |
|------|--------|--------|--------|
| 1    | 1.500% | 2.8853%| 2.7183%|
| 2    | 1.500% | 2.8853%| 1.6487%|
| 3    | 1.500% | 1.7500%| 1.6487%|
| 4    | 1.500% | 1.7500%| 1.0000%|
Topic: Asset Classes & Derivatives

Assuming a threshold p-value of 0.65, Smith wants to implement machine learning (ML) models in the company's analytics procedures. Smith applies the ML model on the test data for Dataset XYZ, as described in Exhibit 1, which includes example results from the testing data collection. What is the accuracy metric for the sample test set of Dataset XYZ according to Exhibit 1?

|  Exhibit 1  | 10 Sample Results of Test Data for Dataset XYZ |
|-------------|------------------------------------------------|
| Sentence#   | Actual Sentiment Target p-value               |
| 1           | 1 0.75                                        |
| 2           | 0 0.45                                        |
| 3           | 1 0.64                                        |
| 4           | 1 0.81                                        |
| 5           | 0 0.43                                        |
| 6           | 1 0.78                                        |
| 7           | 0 0.59                                        |
| 8           | 1 0.60                                        |
| 9           | 0 0.67                                        |
| 10          | 0 0.54                                        |
Topic: Asset Classes & Derivatives

Recently, an analyst named Benedict from a finance firm collected this data for an equal-weighted index made up of securities G,H,I: What is the return of the index during this time frame?

| Security | Beginning($) | End($) | Shares |
|----------|--------------|--------|--------|
| G        |    15.00     |  17.00 |  500   |
| H        |    35.00     |  33.00 |  300   |
| 1        |    37.00     |  40.00 |  200   |
Topic: Portfolio Management & Strategy

According to the capital asset pricing model, can you compute the market risk premium for the market using the provided details? The expected return for Security B is 15.9% and the risk-free rate stands at 4%.

| Security | Expected Standard Deviation(%) | Beta |
| --- | --- | --- |
| Security 1 | 30 | 1.60 |
| Security 2 | 20 | 1.70 |
| Security 3 | 25 | 1.90 |
Topic: Market Analysis & Economics

In order to predict the return expectations for Swedish bonds, Oliver chooses to figure out the target nominal policy rate of Sweden by implementing the Taylor rule with the data shown in Exhibit 1. What's the calculated target nominal policy rate for Sweden using the Taylor rule?

| Neutral  real policy rate at trend growth and target inflation | 1.2% |
| --- | --- |
| Target inflation rate | 0.5% |
| Expected inflation rate | 1.0% |
| Trend real GDP growth rate | 1.0% |
| Expected real GDP growth rate | 2.0% |
Topic: Accounting

Based on Thompson's assessment of Metro's assets in Great Lakes as outlined in Exhibit 3 at the conclusion of 2013, even with government assistance, he thought that the automotive sector was unlikely to make a full recovery. This, coupled with Great Lakes' dependence on the automotive industry, would cause Metro, a company known for acquiring local news organizations across the nation under US GAAP, to possibly consider the investment impaired. According to Thompson's viewpoint concerning the probable impairment of the investment in Great Lakes Free Press as presented in Exhibit 3, what is the impairment loss in thousands as of the end of 2013?

|                                          | ($ thousands) |
|------------------------------------------|-------------:|
| Book value of Great Lakes                |      3,256.00|
| Fair value of Suburban's investment in Great Lakes |         940|
| Carrying value of Suburban's investment in Great Lakes | 1,264.51|
Topic: Asset Classes & Derivatives

Based on the data provided in Display 1 about the present par and spot rates of annual-coupon sovereign bonds, what is the forward rate for a loan for one year that starts in three years?

|Maturity   | Par Rate | Spot rate |
|-----------|----------|---------- |
|One-Year   |   2.50%  |   2.50%   |
|Two-Year   |   2.99%  |   3.00%   |
|Three-Year |   3.48%  |   3.50%   |
|Four-Year  |   3.95%  |   4.00%   |
|Five-Year  |   4.37%  |           |
Topic: Asset Classes & Derivatives

A zero-coupon bond with a maturity term of one year has a yield of 4.0%. The yield on zero-coupon bonds with a maturity of two and three years are 5.0% and 6.0% respectively. The forward price of a zero-coupon bond with a two-year term that begins in three years is established at 0.8479. What's the current price of a zero-coupon bond that matures in five years?
Topic: Asset Classes & Derivatives

What is the difference between FCFF and FCFE as per the financial statements provided by the organization?

| Years Ended 31 December | 2007 | 2008 |
| --- | --- | --- |
| Assets |  |  |
| Current assets |  |  |
| Cash and equivalents | $210 | $248 |
| Accounts receivable | 474 | 513 |
| Inventory | 520 | 564 |
| Total current assets | 1,204 | 1,325 |
| Gross fixed assets | 2,501 | 2,850 |
| Accumulated depreciation | (604) | (784) |
| Net fixed assets | 1,897 | 2,066 |
| Total assets | $3,101 | $3,391 |

| Years Ended 31  December | 2007  | 2008  |
|--------------------------|-------|-------|
| Liabilities and shareholders' equity | | |
| Current liabilities | | |
| Accounts payable        | $295  | $317  |
| Notes payable           | 300   | 310   |
| Accrued taxes and expenses| 76   | 99    |
| Total current liabilities| 671   | 726   |
| Long-term debt          | 1,010 | 1,050 |
| Common stock            | 50    | 50    |
| Additional paid-in capital| 300  | 300   |
| Retained earnings       | 1,070 | 1,265 |
| Total shareholders' equity| 1,420 | 1,615 |
| Total liabilities and shareholders' equity | $3,101 | $3,391 |

| Statement of Income<br>In Millions, except Per-Share Data | 31 December 2008 |
|----------------------------------------------------------|-----------------|
| Total revenues                                           | $2,215           |
| Operating costs and expenses                             | 1,430           |
| EBITDA                                                   | 785             |
| Depreciation                                             | 180             |
| EBIT                                                     | 605             |
| Interest expense                                         | 130             |
| Income before tax                                        | 475             |
| Taxes (at 40 percent)                                    | 190             |
| Net income                                               | 285             |
| Dividends                                                | 90              |
| Addition to retained earnings                            | 195             |

| Statement of Cash Flows In Millions | 31 December 2008 |
|---|---|
| Operating activities |   |
| Net income | $285 |
| Adjustments |   |
| Depreciation | 180 |
| Changes in working capital |   |
| Accounts receivable | (39) |
| Inventories | (44) |
| Accounts payable | 22 |
| Accrued taxes and expenses | 23 |
| Cash provided by operating activities | $427 |
| Investing activities |   |
| Purchases of fixed assets | $349 |
| Cash used for investing activities | $349 |
| Financing activities |   |
| Notes payable | $(10) |
| Long-term financing issuances | (40) |
| Common stock dividends | 90 |
| Cash used for financing activities | $40 |
| Cash and equivalents increase (decrease) | 38 |
| Cash and equivalents at beginning of year | 210 |
| Cash and equivalents at end of year | $248 |
| Supplemental cash flow disclosures |   |
| Interest paid | $130 |
| Income taxes paid | $190 |
Topic: Asset Classes & Derivatives

As a junior analyst at a modest investment firm, Jacob was tasked with assessing the value of a food service company known as SpeedyEats, based out of Shanghai. The company's stock price on the 20th of January 2018 stood at $35. Jacob collected data and made projections on the company as illustrated below. Based on the provided data, what is the trailing P/E of the company?

|                       | 2015 | 2016  | 2017 | 2018(E) |
|-----------------------|------|-------|------|---------|
| Earnings per share    | 5.56 | 6.23  | 4.72 | 6.5     |
| Return on equity (ROE)| 11%  | 12.32%| 9.25%| 12.5%   |
Topic: Asset Classes & Derivatives

What is the evaluation of PZ Inc.'s 2018 FCFF (in millions) according to the 2017 and 2018 financial statements provided by the company, as assessed by Jacques?

|                               |     | 2018 |     | 2017 |
|-------------------------------|-----|------|-----|------|
| Assets                           |     |      |     |      |
| Current assets                   |     |      |     |      |
| Accounts receivable              |     | 800  |     | 750  |
| Inventories                      |     | 850  |     | 720  |
| Gross fixed assets               |     | 5000 |     | 4250 |
| Accounts payable                 |     | $ 400  |     | $300 |
| Accrued taxes and expenses       |     | 120  |     | 90   |
| Notes payable                    |     | 550  |     | 500  |
| Long-term debt                   |     | 1,500 |     | 1,400 |
| Income Statement for the Year Ended 31 December 2018 |     |      |     |      |
| EBITDA                           |     |      |     | 2000 |
| Depreciation expense             |     |      |     | 400  |
| EBIT                             |     |      |     | 1600 |
| Interest expense                 |     |      |     | 350  |
| Pretax income                    |     |      |     | 1250 |
| Income tax (at 30 percent)       |     |      |     | 375  |
| Net income                       |     |      |     | $ 875  |
Topic: Quantitative Analysis & Valuation

If the interest rates are 10% and they surge by 25 basis points, how much will the bond portfolio value diminish by, given that these are the current specifications: Portfolio X has 8 bonds under a long position, a price of $90,000, and a modified duration of 2.5, Portfolio Y is worth $110,000 and holds a short position in 6 bonds with a modified duration of 3, and Portfolio Z's details are a $120,000 price, a modified duration of 3.3, and a long position in 12 bonds?
Topic: Portfolio Management & Strategy

Compute the standard deviation of the portfolio as per the data presented in the below table:

|                          |      |
|--------------------------|------|
| weight of asset A        | 30%  |
| weight of asset B        | 70%  |
| standard deviation of asset A | 10%  |
| standard deviation of asset B  | 15%  |
| correlation coefficient  | -0.7 |
Topic: Asset Classes & Derivatives

Referring to Exhibit 1, what percentage of the total portfolio risk is accounted for by the market factor in the current portfolio of Fund 1?

|       Factor      | Market |  Size  | Value | Momentum |
|:-----------------:|:------:|:------:|:-----:|:--------:|
|    Coefficient    |  1.080 |  0.098 | -0.401|  0.034   |
| Variance of the market factor return and covariances with the market factor return | 0.00109 | 0.00053 | 0.00022 | -0.00025 |
| Portfolio's monthly standard deviation of returns | | | | 3.74% |
Topic: Quantitative Analysis & Valuation

If John invests in a fund and the annual returns range between 1.03% ≤ x <4.77%, what will be the cumulative relative frequency?

|     |     |     |     |
|-----|-----|-----|-----|
|**Return in 2006-2017(%)**||||
| 2006 | 1.48 | 2012 | -8.19|
| 2007 | -1.59| 2013 | -4.11|
| 2008 | 8.47 | 2014 | 0.33 |
| 2009 | -1.55| 2015 | 5.84 |
| 2010 | -2.69| 2016 | 2.04 |
| 2011 | -1.89| 2017 | 3.72 |