idx
int32
question_id
string
context
string
question
string
options
list
image_1
image
image_2
image
image_3
image
image_4
image
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image
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image
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image
image_type
string
answers
string
explanation
string
topic_difficulty
string
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string
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string
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string
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string
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is_arithmetic
int32
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release
string
1,000
english_355_1_r1
You purchased the following futures contract today at the settlement price listed in the Wall Street Journal. Answer the questions below regarding the contract. <image_1>. Suppose the price of the futures contract changes as shown in the following table <image_2>.
Enter the relevant information missing in the table. Show your calculations.
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table
Profit/Loss per lb for day 1,2,3 is $0.0002, $0.0013, $0.0057, total value of contract at day 0,1,2,3 is $9714, $9162,$9240, $9582; mark-to-market settle for day 1,2,3 is -$12, $78, $342.
nan
easy
open question
derivatives
english
355
1
1
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release_basic
1,001
english_355_2_r1
nan
Explain why the account is marked to market daily.
null
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table
The contract is marked to market daily and profits or losses are posted in the account. The contract keeps pace with market activity and doesn't change value all at once at the maturity date. The marking-to-market process protects the clearinghouse because the margin percentage is calculated daily and if it falls below...
nan
easy
open question
derivatives
english
355
2
0
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release_basic
1,002
english_356_1_r1
Consider the following: <image_1>,
If the futures market price is 1.63 A$/$, how could you arbitrage?
[ "A. Borrow Australian dollars in Australia, convert them to dollars, lend the proceeds in the United States, and enter futures positions to purchase Australian dollars at the current futures price.", "B. Borrow U.S. dollars in the United States, convert them to Australian dollars, lend the proceeds in Australia, ...
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table
B
E0(1 + rUS) - F0(1 + rA); use the U.S. dollar values for the currency: 0.5988(1.04) - 0.6135(1.03) = -0.009153; when relationship is negative, action b will result in arbitrage profits.
easy
multiple-choice
derivatives
english
356
1
0
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release_basic
1,003
english_356_2_r1
nan
If the market futures price is 1.69 A$/$, how could you arbitrage?
[ "A. Borrow Australian dollars in Australia, convert them to dollars, lend the proceeds in the United States, and enter futures positions to purchase Australian dollars at the current futures price.", "B. Borrow U.S. dollars in the United States, convert them to Australian dollars, lend the proceeds in Australia, ...
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table
A
0.5988(1.04) - 0.5917(1.03) = 0.013301; when this relationship is positive; action a will result in arbitrage profits.
easy
multiple-choice
derivatives
english
356
2
0
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release_basic
1,004
english_356_3_r1
nan
Assume the current market futures price is 1.66 A$/$. You borrow 167,000 A$ and convert the proceeds to U.S. dollars and invest them in the U.S. at the risk-free rate. You simultaneously enter a contract to purchase 170,340 A$ at the current futures prices (maturity of 1 year). What would be your profit (loss)?
[ "A. Profit of 630 A$", "B. Loss of 2300 A$", "C. Profit of 2300 A$", "D. Loss of 630 A$" ]
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table
A
[A$167,000/1.67 × 1.04 × 1.66] - (A$167,000 × 1.03) = A$630.
easy
multiple-choice
derivatives
english
356
3
1
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release_basic
1,005
english_357_1_r1
You are given the following information about a portfolio you are to manage. For the long-term you are bullish, but you think the market may fall over the next month. <image_1>
If the anticipated market value materializes, what will be your expected loss on the portfolio?
[ "A. 14.29%", "B. 16.67%", "C. 15.43%", "D. 8.57%", "E. 6.42%" ]
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table
D
The change would represent a drop of (1,200 - 1,400)/1,400 = 14.3% in the index. Given the portfolio's beta, your portfolio would be expected to lose 0.6 × 14.3% = 8.57%.
easy
multiple-choice
portfolio management
english
357
1
1
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release_basic
1,006
english_357_2_r1
nan
What is the dollar value of your expected loss?
[ "A. $142,900", "B. $16,670", "C. $85,700", "D. $30,000", "E. $64,200" ]
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table
C
The dollar value equals the loss of 8.57% times the $1 million portfolio value = $85,700.
easy
multiple-choice
portfolio management
english
357
2
1
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release_basic
1,007
english_357_3_r1
nan
For a 200-point drop in the S&P 500, by how much does the value of the futures position change?
[ "A. $200,000", "B. $50,000", "C. $250,000", "D. $500,000", "E. $100,000" ]
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table
B
The change is 200 points times the $250 multiplier, which equals $50,000.
easy
multiple-choice
portfolio management
english
357
3
1
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release_basic
1,008
english_357_4_r1
nan
How many contracts should you buy or sell to hedge your position? Allow fractions of contracts in your answer
[ "A. sell 1.714", "B. buy 1.714", "C. sell 4.236", "D. buy 4.236", "E. sell 11.235" ]
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table
A
The number of contracts equals the hedge ratio = change in portfolio value/profit on one futures contract = $85,700/$50,000 = 1.714. You should sell the contract because as the market falls the value of the futures contract will rise and will offset the decline in the portfolio's value.
easy
multiple-choice
portfolio management
english
357
4
1
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release_basic
1,009
english_358_1_r1
You are given the following information about a portfolio you are to manage. For the long-term you are bullish, but you think the market may fall over the next month. <image_1>
If the anticipated market value materializes, what will be your expected loss on the portfolio?
[ "A. 7.58%", "B. 6.52%", "C. 15.43%", "D. 8.57%", "E. 6.42%" ]
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table
B
The change would represent a drop of (915 - 990)/990 = 7.58% in the index. Given the portfolio's beta, your portfolio would be expected to lose 0.86 × 7.58% = 6.52%.
easy
multiple-choice
portfolio management
english
358
1
1
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release_basic
1,010
english_358_2_r1
nan
What is the dollar value of your expected loss?
[ "A. $142,900", "B. $65,200", "C. $85,700", "D. $30,000", "E. $64,200" ]
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table
B
The dollar value equals the loss of 6.52% times the $1 million portfolio value = $65,200.
easy
multiple-choice
portfolio management
english
358
2
1
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release_basic
1,011
english_358_3_r1
nan
For a 75-point drop in the S&P 500, by how much does the futures position change?
[ "A. $200,000", "B. $50,000", "C. $250,000", "D. $500,000", "E. $18,750" ]
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table
E
The change is 75 points times the $250 multiplier, which equals $18,750.
easy
multiple-choice
portfolio management
english
358
3
1
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release_basic
1,012
english_358_4_r1
nan
How many contracts should you buy or sell to hedge your position? Allow fractions of contracts in your answer.
[ "A. Sell 3.477", "B. Buy 3.477", "C. Sell 4.236", "D. Buy 4.236", "E. Sell 11.235" ]
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table
A
The number of contracts equals the hedge ratio equals: Change in portfolio value/profit on one futures contract = $65,200/$18,750 = 3.477. You should sell the contract because as the market falls the value of the futures contract will rise and will offset the decline in the portfolio's value.
easy
multiple-choice
portfolio management
english
358
4
1
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release_basic
1,013
english_359_1_r1
You want to evaluate three mutual funds using the information ratio measure for performance evaluation. The risk-free return during the sample period is 6%, and the average return on the market portfolio is 19%. The average returns, residual standard deviations, and betas for the three funds are given below. <image_1>
The fund with the highest information ratio measure is
[ "A. Fund A.", "B. Fund B.", "C. Fund C.", "D. Funds A and B (tied for highest)", "E. Funds A and C (tied for highest)" ]
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table
B
Information ratio = αP/σ(eP); A: αP = 20 - 6 - .8(19 - 6) = 3.6; 3.6/4 = 0.9; B: αP = 21 - 6 - 1(19 - 6) = 2.0; 2/1.25 = 1.6; C: αP = 23 - 6 - 1.2(19 - 6) = 1.4; 1.4/1.20 = 1.17.
easy
multiple-choice
portfolio management
english
359
1
1
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release_basic
1,014
english_360_1_r1
You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sample period is 6%. The average returns, standard deviations, and betas for the three funds are given below, as are the data for the S&P 500 Index. <image_1>
The fund with the highest Sharpe measure is
[ "A. Fund A.", "B. Fund B.", "C. Fund C.", "D. Funds A and B (tied for highest)", "E. Funds A and C (tied for highest)" ]
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C
A: (24% - 6%)/30% = 0.60; B: (12% - 6%)/10% = 0.60; C: (22% - 6%)/20% = 0.80; S&P 500: (18% - 6%)/16% = 0.75.
easy
multiple-choice
portfolio management
english
360
1
1
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release_basic
1,015
english_361_1_r1
You want to evaluate three mutual funds using the Jensen measure for performance evaluation. The risk-free return during the sample period is 6%, and the average return on the market portfolio is 18%. The average returns, standard deviations, and betas for the three funds are given below. <image_1>
The fund with the highest Jensen measure is
[ "A. Fund A.", "B. Fund B.", "C. Fund C.", "D. Funds A and B (tied for highest)", "E. Funds A and C (tied for highest)" ]
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table
C
A: 17.6% - [6% + 1.2(18% - 6%)] = -2.8%; B: 17.5% - [6% + 1.0(18% - 6%)] = -0.5; C: 17.4% - [6% + 0.8(18% - 6%)] = +1.8.
easy
multiple-choice
portfolio management
english
361
1
1
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release_basic
1,016
english_362_1_r1
The following data are available relating to the performance of Sooner Stock Fund and the market portfolio: <image_1>
The risk-free return during the sample period was 3%. What is the Sharpe measure of performance evaluation for Sooner Stock Fund?
[ "A. 1.33%", "B. 4.00%", "C. 8.67%", "D. 38.6%", "E. 37.14%" ]
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table
D
(20% - 3%)/44% = 0.386, or 38.6%.
easy
multiple-choice
portfolio management
english
362
1
1
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release_basic
1,017
english_362_2_r1
nan
The risk-free return during the sample period was 3%. What is the Treynor measure of performance evaluation for Sooner Stock Fund?
[ "A. 1.33%", "B. 4.00%", "C. 8.67%", "D. 9.44%", "E. 37.14%" ]
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D
(20% - 3%)/1.8 = 9.44%.
easy
multiple-choice
portfolio management
english
362
2
1
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release_basic
1,018
english_362_3_r1
nan
The risk-free return during the sample period was 3%. Calculate the Jensen measure of performance evaluation for Sooner Stock Fund.
[ "A. 2.6%", "B. 4.00%", "C. 8.67%", "D. 31.43%", "E. 37.14%" ]
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table
A
αP = 20% - [3% + 1.8(11% - 3%)] = 2.6%.
easy
multiple-choice
portfolio management
english
362
3
1
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release_basic
1,019
english_362_4_r1
nan
The risk-free return during the sample period was 3%. Calculate the information ratio for Sooner Stock Fund.
[ "A. 1.53", "B. 1.30", "C. 8.67", "D. 31.43", "E. 37.14" ]
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table
B
αP = 20% - [3% + 1.8(11% - 3%)] = 2.6%, 2.6%/2.00% = 1.3.
easy
multiple-choice
portfolio management
english
362
4
1
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release_basic
1,020
english_363_1_r1
The following data are available relating to the performance of Monarch Stock Fund and the market portfolio: <image_1>
The risk-free return during the sample period was 4%. What is the information ratio measure of performance evaluation for Monarch Stock Fund?
[ "A. 1.00%", "B. 280.00%", "C. 44.00%", "D. 50.00%", "E. None of the options" ]
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B
αP = 16% - [4% + 1.15(12% - 4%)] = 2.8%; αP/σ(eP) = 2.8%/1% = 2.8, or 280%.
easy
multiple-choice
portfolio management
english
363
1
1
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release_basic
1,021
english_363_2_r1
nan
The risk-free return during the sample period was 4%. Calculate Sharpe's measure of performance for Monarch Stock Fund.
[ "A. 1%", "B. 46%", "C. 44%", "D. 50%", "E. None of the options" ]
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table
B
(16 - 4)/26 = .46
easy
multiple-choice
portfolio management
english
363
2
1
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release_basic
1,022
english_363_3_r1
nan
The risk-free return during the sample period was 4%. Calculate Treynor's measure of performance for Monarch Stock Fund.
[ "A. 10.40%", "B. 8.80%", "C. 44.00%", "D. 50.00%" ]
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table
A
(16 - 4)/1.15 = 10.4.
easy
multiple-choice
portfolio management
english
363
3
1
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release_basic
1,023
english_363_4_r1
nan
The risk-free return during the sample period was 4%. Calculate Jensen's measure of performance for Monarch Stock Fund.
[ "A. 1.00%", "B. 2.80%", "C. 44.00%", "D. 50.00%" ]
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table
B
16 - [4 + 1.15 (12 - 4)] = 2.80%.
easy
multiple-choice
portfolio management
english
363
4
1
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release_basic
1,024
english_364_1_r1
The following data are available relating to the performance of Seminole Fund and the market portfolio: <image_1>
The risk-free return during the sample period was 6%. If you wanted to evaluate the Seminole Fund using the M2 measure, what percent of the adjusted portfolio would need to be invested in T-Bills?
[ "A. -36% (borrow)", "B. 50%", "C. 8%", "D. 36%", "E. 27%" ]
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table
E
22/30 = .7333, or 73.33% invested in Seminole Fund and 1 - 73.33% = 26.67% in T-Bills.
easy
multiple-choice
portfolio management
english
364
1
1
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release_basic
1,025
english_364_2_r1
nan
The risk-free return during the sample period was 6%. Calculate the M2 measure for the Seminole Fund.
[ "A. 4.0%", "B. 20.0%", "C. 2.86%", "D. 0.8%", "E. 40.0%" ]
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D
22/30 = .7333; 1 - .7333 = .2667; M2 = [.7333 (18) + .2667 (6)] - 14 = 0.8%.
easy
multiple-choice
portfolio management
english
364
2
1
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release_basic
1,026
english_365_1_r1
The following data are available relating to the performance of Wildcat Fund and the market portfolio: <image_1>
The risk-free return during the sample period was 7%. What is the information ratio measure of performance evaluation for Wildcat Fund?
[ "A. 1.00%", "B. 8.80%", "C. 44.00%", "D. 50.00%" ]
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table
D
αP = 18% - [7% + 1.25(15% - 7%)] = 1%; αP/σ(eP) = 1%/2% = 0.50, or 50.00%.
easy
multiple-choice
portfolio management
english
365
1
1
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release_basic
1,027
english_365_2_r1
nan
The risk-free return during the sample period was 7%. Calculate Sharpe's measure of performance for Wildcat Fund.
[ "A. 1.00%", "B. 8.80%", "C. 44.00%", "D. 50.00%" ]
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C
(18 - 7)/25 = .44.
easy
multiple-choice
portfolio management
english
365
2
1
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release_basic
1,028
english_365_3_r1
nan
The risk-free return during the sample period was 7%. Calculate Treynor's measure of performance for Wildcat Fund.
[ "A. 1.00%", "B. 8.80%", "C. 44.00%", "D. 50.00%" ]
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table
B
(18 - 7)/1.25 = 8.8.
easy
multiple-choice
portfolio management
english
365
3
1
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release_basic
1,029
english_365_4_r1
nan
The risk-free return during the sample period was 7%. Calculate Jensen's measure of performance for Wildcat Fund.
[ "A. 1.00%", "B. 8.80%", "C. 44.00%", "D. 50.00%" ]
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table
A
18 - [7 + 1.25 (15 - 7)] = 1.00%.
easy
multiple-choice
portfolio management
english
365
4
1
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release_basic
1,030
english_366_1_r1
The following data are available relating to the performance of Long Horn Stock Fund and the market portfolio: <image_1>
The risk-free return during the sample period was 6%. Calculate the Jensen measure of performance evaluation for Long Horn Stock Fund.
[ "A. 1.33%", "B. 4.00%", "C. 8.67%", "D. 31.43%", "E. 37.14%" ]
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table
B
αP = 19% - [6% + 1.5(12% - 6%)] = 4.00%.
easy
multiple-choice
portfolio management
english
366
1
1
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release_basic
1,031
english_366_2_r1
nan
The risk-free return during the sample period was 6%. Calculate the information ratio for Long Horn Stock Fund.
[ "A. 1.33", "B. 4.00", "C. 8.67", "D. 31.43", "E. 37.14" ]
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table
A
αP = 19% - [6% + 1.5(12% - 6%)] = 4.00%, 4.00%/3.00% = 1.33.
easy
multiple-choice
portfolio management
english
366
2
1
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release_basic
1,032
english_367_1_r1
In a particular year, Razorback Mutual Fund earned a return of 1% by making the following investments in asset classes: <image_1>. The return on a bogey portfolio was 2%, calculated from the following information. <image_2>
The total excess return on the Razorback Fund's managed portfolio was
[ "A. -1.80%.", "B. -1.00%.", "C. 0.80%.", "D. 1.00%." ]
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table
B
1% - 2% = -1%.
easy
multiple-choice
portfolio management
english
367
1
1
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release_basic
1,033
english_367_2_r1
nan
The contribution of asset allocation across markets to the Razorback Fund's total excess return was
[ "A. -1.80%.", "B. -1.00%.", "C. 0.80%.", "D. 1.00%." ]
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table
A
<ans_image_1>
easy
multiple-choice
portfolio management
english
367
2
1
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release_basic
1,034
english_367_3_r1
nan
The contribution of selection within markets to the Razorback Fund's total excess return was
[ "A. -1.80%.", "B. -1.00%.", "C. 0.80%.", "D. 1.00%." ]
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table
C
<ans_image_2>
easy
multiple-choice
portfolio management
english
367
3
1
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release_basic
1,035
english_368_1_r1
In a particular year, Aggie Mutual Fund earned a return of 15% by making the following investments in the following asset classes: <image_1>. The return on a bogey portfolio was 10%, calculated as follows: <image_2>
The total excess return on the Aggie managed portfolio was
[ "A. 1%.", "B. 3%.", "C. 4%.", "D. 5%." ]
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table
D
15% - 10% = 5%.
easy
multiple-choice
portfolio management
english
368
1
1
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release_basic
1,036
english_368_2_r1
nan
The contribution of asset allocation across markets to the total excess return was
[ "A. 1%.", "B. 3%.", "C. 4%.", "D. 5%." ]
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table
C
<ans_image_1>
easy
multiple-choice
portfolio management
english
368
2
1
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release_basic
1,037
english_368_3_r1
nan
The contribution of selection within markets to total excess return was
[ "A. 1%.", "B. 3%.", "C. 4%.", "D. 5%." ]
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table
A
<ans_image_2>
easy
multiple-choice
portfolio management
english
368
3
1
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release_basic
1,038
english_369_1_r1
For the general one-period model <image_1>, we call the beginning of the period time zero and the end of the period time one. At time zero, we have a stock whose price per share we denote by $S_0$, a positive quantity known at time zero. At time one, the price per share of this stock will be one of two positive values,...
In the one-period binomial model. what relationship between $u,d,r$ must hold to rule out arbitrage?
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$0 < d < 1 + r < u $
The inequality $d > 0$ follows from the positivity of the stock prices and was already assumed. The two other inequalities follow from the absence of arbitrage, as we now explain. If $ d \geq 1 + r $, one could begin with zero wealth and at time zero borrow from the money market one stock at time one will be worth even...
hard
open question
derivatives
english
369
1
0
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release_basic
1,039
english_369_2_r1
nan
In the general one-period model, we define a derivative security to be a security that pays some amount $V_1(H)$ at time one if the coin toss results in head and pays a possibly different amount $V_1(T)$ at time one if the coin toss results in tail. A European call option is a particular kind of derivative security. An...
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chart
$X_1 = (1 + r) X_0 + \Delta_0 (S_1 - (1 + r) S_0)$.
$X_1 = \Delta_0 S_1 + (1 + r)(X_0 - \Delta_0 S_0) = (1 + r) X_0 + \Delta_0 (S_1 - (1 + r) S_0)$.
hard
open question
derivatives
english
369
2
0
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release_basic
1,040
english_369_3_r1
nan
We want to choose $X_0$ and $\Delta_0$ so that $X_1(H) = V_1(H)$ and $X_1(T) = V_1(T)$. (Note here that $V_1(H)$ and $V_1(T)$ are given quantities, the amounts the derivative security will pay off depending on the outcome of the coin tosses. At time zero, write down the two equations that are required to replicate th...
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chart
$X_0 + \Delta_0 \left( \frac{1}{1 + r} S_1(H) - S_0 \right) = \frac{1}{1 + r} V_1(H)$, $X_0 + \Delta_0 \left( \frac{1}{1 + r} S_1(T) - S_0 \right) = \frac{1}{1 + r} V_1(T)$.
nan
hard
open question
derivatives
english
369
3
0
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release_basic
1,041
english_369_4_r1
nan
One way to solve these two equations, in the previous question, is to multiply the first by a number $\tilde{p}$ and the second by $\tilde{q} = 1 - \tilde{p}$ and then add them to get a function of $V_1(H), V_1(T)$, what is it exactly?
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chart
$\frac{1}{1 + r} [ \tilde{p} V_1(H) + \tilde{q} V_1(T) ]$
$X_0 + \Delta_0 \left( \frac{1}{1 + r} [ \tilde{p} S_1(H) + \tilde{q} S_1(T) ] - S_0 \right) = \frac{1}{1 + r} [ \tilde{p} V_1(H) + \tilde{q} V_1(T) ].$
hard
open question
derivatives
english
369
4
0
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release_basic
1,042
english_369_5_r1
nan
continued from the previous question, if we choose $\tilde{p}$ so that $S_0 = \frac{1}{1 + r} [ \tilde{p} S_1(H) + \tilde{q} S_1(T) ]$, please solve $\tilde{p},\tilde{q}$
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chart
$\tilde{p} = \frac{1+r-d}{u-d}$, $\tilde{q} = \frac{u-1-r}{u-d}$.
$S_0 &= \frac{1}{1+r} \left[ p u S_0 + (1-p) d S_0 \right] = \frac{S_0}{1+r} \left[ (u-d) p + d \right]$ This leads to the formulas $\tilde{p} &= \frac{1+r-d}{u-d}, \quad \tilde{q} = \frac{u-1-r}{u-d}$
hard
open question
derivatives
english
369
5
0
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release_basic
1,043
english_369_6_r1
nan
We call $\tilde{p},\tilde{q}$ the risk neural probabilities and we use them to price the derivative security that pays $V_1$ at time one. Write down the risk nueral pricing formula for $V_0$.
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$V_0 = \frac{1}{1+r} [\tilde{p} V_1(H) + \tilde{q} V_1(T)]$
$\tilde{p},\tilde{q}$ can be seen as the probability in the risk-neural probability space.
hard
open question
derivatives
english
369
6
0
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release_basic
1,044
english_369_7_r1
nan
In the one-period binomial model, suppose we want to determine the price at time zero of the derivative security $V_1 = S_1$ (i.e., the derivative security pays off the stock price). (This can be regarded as a European call with strike price \( K = 0 \)). What is the time-zero price $V_0$ given by the risk-neutral pri...
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chart
$V_0=S_0$
Proof. $V_0=\frac{1}{1+r}\left[\frac{1+r-d}{u-d}S_1(H)+\frac{u-1-r}{u-d}S_1(T)\right]=\frac{S_0}{1+r}\left[\frac{1+r-d}{u-d}u+\frac{u-1-r}{u-d}d\right]=S_0$. This is not surprising, since this is exactly the cost of replicating $S_1$. This illustrates an important point. The “fair price” of a stock cannot be determined...
hard
open question
derivatives
english
369
7
0
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release_basic
1,045
english_370_1_r1
We have a three-period binomial model shown below <image_1>. At time zero, we have a stock whose price per share we denote by $S_0$, a positive quantity known at time zero. At time one, the price per share of this stock will be one of two positive values, which we denote $S_1(H)$ and $S_1(T)$, the $H$ and $T$ standing...
Assume risk-neural probability for the up and down move $\tilde{p}=0.5,\tilde{q}=0.5$, compute the conditional expectation of $S_2$ based on the information at time $1$ under the risk neural measure $\mathcal{\tilde{E}}[S_2](H), \mathcal{\tilde{E}}[S_2](T)$
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$\mathbb{\tilde{E}}_1[S_2](H)=10, \mathbb{\tilde{E}}_1[S_2](T)=2.5$
$\mathbb{\tilde{E}}_1[S_2](H)=0.5*(16+4)=10$,$\mathbb{\tilde{E}}_1[S_2](T)=0.5*(4+1)=0.25$.
hard
open question
derivatives
english
370
1
0
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release_basic
1,046
english_370_2_r1
nan
Assme the actual probability for the up and down move $p=2/3, q=1/3$, compute $\mathbb{E}_1[S_2+S_3](H)$ under the actual probability.
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$\mathbb{E}_1[S_2+S_3](H)=30$
$\mathbb{E}_1[S_2](H) = \frac{2}{3} \cdot 16 + \frac{1}{3} \cdot 4 = 12,$ $\mathbb{E}_1[S_3](H) = \frac{4}{9} \cdot 32 + \frac{2}{9} \cdot 8 + \frac{2}{9} \cdot 8 + \frac{1}{9} \cdot 2 = 18$ and consequently $\mathbb{E}_i[S_2](H) + \mathbb{E}_i[S_3](H) = 12 + 18 = 30.$
hard
open question
derivatives
english
370
2
0
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release_basic
1,047
english_370_3_r1
nan
Assme the actual probability for the up and down move $p=2/3, q=1/3$, compute $\mathbb{E}_1[\mathbb{E}_2[S_3]](H), \mathbb{E}_1[\mathbb{E}_2[S_3]](T)$ under the actual probability.
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$\mathbb{E}_1[\mathbb{E}_2[S_3]](H)=18, \mathbb{E}_1[\mathbb{E}_2[S_3]](H)=4.5$
$ \mathbb{E}_2[S_3(HH)] = \frac{2}{3} \cdot 3 + \frac{1}{3} \cdot 8 = 2 + \frac{8}{3}, \\ \mathbb{E}_2[S_3(HT)] = \frac{2}{3} \cdot 3 + \frac{1}{3} \cdot 2 = 2 + \frac{2}{3}, \\ \mathbb{E}_2[S_3(TH)] = \frac{2}{3} \cdot 8 + \frac{1}{3} \cdot 4 = \frac{16}{3} + \frac{4}{3} = 6, \\ \mathbb{E}_2[S_3(TT)] = \frac{2}{3} \cd...
hard
open question
derivatives
english
370
3
0
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release_basic
1,048
english_370_4_r1
nan
Consider the maximum-to-date process $M_n=\max_{0 \le k \le n} S_k shown in <image_2>, under the actual probability for the up and down move $p=2/3, q=1/3$, compute $\mathbb{E}_2[M3](TH), \mathbb{E}_2[M3](TT)$. And conclude if $M_n$ is Markov?
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$\mathbb{E}_2[M_3](TH)=6\frac{2}{3}, \mathbb{E}_2[M_3](TT)=4$. $M_n$ is not Markov.
<ans_image_1>
hard
open question
derivatives
english
370
4
0
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release_basic
1,049
english_371_1_r1
The following are prices of options traded on X Corporation, which pays no dividends. <image_1>. The stock is trading at $83, and the annualized riskless rate is 3.8%. The standard deviation in ln stock prices (based upon historical data) is 30%.
Estimate the value of a three-month call, with a strike price of 85.
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table
$4.42
The values of the option parameters are as follows: S = $83 K = $85 t = 0.25 r = 3.80% Variance = 0.09 Value of call = $4.42
medium
open question
derivatives
english
371
1
1
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release_basic
1,050
english_371_2_r1
nan
Using the inputs from the Black-Scholes model, specify how you would replicate this call.
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table
buy 0.4919 Shares of Stock and borrow $36.40.
To replicate this call, you would have to: buy 0.4919 Shares of Stock (this is N(d1) from the model) and borrow K e-rt N(d2) = 85 exp-(0.038)(0.25) (0.4324) = $36.40
medium
open question
derivatives
english
371
2
1
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release_basic
1,051
english_371_3_r1
nan
What is the implied standard deviation in this call?
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0.2739
At an implied variance of 0.075, the call has a value of approximately $4.00 (the market price). Implied Standard Deviation = sqrt(0.075) = 0.2739
medium
open question
derivatives
english
371
3
1
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release_basic
1,052
english_371_4_r1
nan
Using put-call parity, estimate the value of a three-month put with a strike price of 85.
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table
$5.62
Value of Three-month Put = C - S + Ke-rt = $4.42 - $83 + 85 exp-(0.038)(0.25) = $5.62
medium
open question
derivatives
english
371
4
1
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release_basic
1,053
english_372_1_r1
nan
A new security on AT&T will entitle the investor to all dividends on AT&T over the next three years, limit upside potential to 20%, but also provide downside protection below 10%. AT&T stock is trading at $50, and three-year call and put options are traded on the exchange at the following prices <image_2> H...
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$46.44
New Security = AT & T stock - Call (K=60) + Put (K=45)= $50 - $7.11 + $3.55 = $46.44 The call with a strike price of $60 is sold, eliminating upside potential above $60. The put with a strike price of $45 is bought, providing downside protection.
hard
open question
derivatives
english
372
1
1
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release_basic
1,054
english_373_1_r1
McCaw Cellular Communications reported earnings before interest and taxes of $850 million in 1993, with a depreciation allowance of $400 million and capital expenditures of $ 550 million in that year; the working capital requirements were negligible. The earnings before interest and taxes and net cap ex are expected to...
Estimate the value of the firm.
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table
$13,386.28 million
Current free cashflow to firm = $ 850* (1-.4) – (550 – 400) = $ 700 million <ans_image_1> I used a reinvestment rate of 33.33% (5/15) in the terminal year. Terminal value = 888.33/(.10-.05) = $ 17,766 Value of firm = 392.73 + 428.43 + 467.38 + 509.87 + 556.22 + 17766.60/(1.1^5) = $13,386.28 million
hard
open question
derivatives
english
373
1
1
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release_basic
1,055
english_373_2_r1
nan
Estimate the value of the equity.
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table
$ 4958 million
Value of equity as an option S = 13386.28 K = 10000.00 T = Weighted duration of debt = 3 years Riskless rate = 5% Variance in firm value = (.35)(.4)^2+(.15)(.6)^2+ 2 (.35)(.15)(.5)(.4)(.6) = .20 = 0.0403 Value of equity = $ 4958 million
hard
open question
derivatives
english
373
2
1
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release_basic
1,056
english_373_3_r1
nan
The stock was trading at $60 and there were 210 million shares outstanding in January 1994. Estimate the implied standard deviation in firm value.
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table
46.53%.
If the market value of equity = 30 * 210 = $ 6300 million Trial and error yields an implied standard deviation of 46.53%.
hard
open question
derivatives
english
373
3
1
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release_basic
1,057
english_373_4_r1
nan
Estimate the market value of the debt.
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table
$8,428 million
Value of debt = Firm value – Value of equity = 13386 – 4958 = $8,428 million
hard
open question
derivatives
english
373
4
1
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release_basic
1,058
english_374_1_r1
The Stancil Corporation provided the following current information: <image_1>
Determine the cash flows from the firm.
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table
$29,300
With the information provided, the cash flows from the firm are the capital spending and the change in net working capital, so: <ans_image_1>
easy
open question
corporate finance
english
374
1
1
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release_basic
1,059
english_374_2_r1
nan
Determine the cash flows to investors of the firm.
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table
$7,600
And the cash flows to the investors of the firm are: <ans_image_2>
easy
open question
corporate finance
english
374
2
1
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release_basic
1,060
english_375_1_r1
Consider the following abbreviated financial statements for Weston Enterprises: <image_1> <image_2>
What is owners’ equity for 2014?
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table
$2,567
Total assets 2014 = $964 + 4,384 = $5,348 Total liabilities 2014 = $401 + 2,380 = $2,781 Owners’ equity 2014 = $5,348 – 2,781 = $2,567
easy
open question
corporate finance
english
375
1
1
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release_basic
1,061
english_375_2_r1
nan
What is owners’ equity for 2015?
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table
$3,122
Total assets 2015 = $1,176 + 5,104 = $6,280 Total liabilities 2015 = $445 + 2,713 = $3,158 Owners’ equity 2015 = $6,280 – 3,158 = $3,122
easy
open question
corporate finance
english
375
2
1
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release_basic
1,062
english_375_3_r1
nan
What is the change in net working capital for 2015?
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table
$168
NWC 2014 = CA14 – CL14 = $964 – 401 = $563 NWC 2015 = CA15 – CL15 = $1,176 – 445 = $731 Change in NWC = NWC15 – NWC14 = $731 – 563 = $168
easy
open question
corporate finance
english
375
3
1
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release_basic
1,063
english_375_4_r1
nan
In 2015, Weston Enterprises purchased $2,350 in new fixed assets. How much in fixed assets did Weston Enterprises sell?
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table
$440
We can calculate net capital spending as: Net capital spending = Net fixed assets 2015 – Net fixed assets 2014 + Depreciation Net capital spending = $5,104 – 4,384 + 1,190 Net capital spending = $1,910 So, the company had a net capital spending cash flow of $1,910. We also know that net capital spending is: ...
easy
open question
corporate finance
english
375
4
1
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release_basic
1,064
english_375_5_r1
nan
In 2015, Weston Enterprises purchased $2,350 in new fixed assets. What is the cash flow from assets for the year? (The tax rate is 40 percent.)
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table
$3,814
To calculate the cash flow from assets, we must first calculate the operating cash flow. The operating cash flow is calculated as follows (you can also prepare a traditional income statement): EBIT = Sales – Costs – Depreciation EBIT = $14,740 – 5,932 – 1,190 EBIT = $7,618 EBT = EBIT – Interest EBT = $7,618...
easy
open question
corporate finance
english
375
5
1
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release_basic
1,065
english_375_6_r1
nan
During 2015, Weston Enterprises raised $455 in new long-term debt. How much long-term debt must Weston Enterprises have paid off during the year?
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table
$122
Net new borrowing = LTD15 – LTD14 Net new borrowing = $2,713 – 2,380 Net new borrowing = $333 Net new borrowing = $333 = Debt issued – Debt retired Debt retired = $455 – 333 Debt retired = $122
easy
open question
corporate finance
english
375
6
1
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release_basic
1,066
english_375_7_r1
nan
During 2015, Weston Enterprises raised $455 in new long-term debt. What is the cash flow to creditors?
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table
–$5
Cash flow to creditors = Interest – Net new LTD Cash flow to creditors = $328 – 333 Cash flow to creditors = –$5
easy
open question
corporate finance
english
375
7
1
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release_basic
1,067
english_376_1_r1
Use the following information for Ingersoll, Inc. (assume the tax rate is 34 percent): <image_1> <image_2> <image_3> <image_4> <image_5>
For 2015, calculate the cash flow from assets.
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table
–$493.02
OCF = EBIT + Depreciation – Taxes OCF = $4,427 + 1,351 – 1,259.02 OCF = $4,518.98 Change in NWC = NWC_{end} – NWC_{beg} = (CA – CL)_{end} – (CA – CL)_{beg} Change in NWC = ($25,522 – 5,917) – ($23,062 – 6,132) Change in NWC = $2,675 Net capital spending = NFA_{end} – NFA_{beg} + Depreciation Net capital...
medium
open question
corporate finance
english
376
1
1
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release_basic
1,068
english_376_2_r1
nan
For 2015, calculate the cash flow to creditors.
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table
–$2,384
Cash flow to creditors = Interest – Net new LTD Net new LTD = LTD_{end} – LTD_{beg} Cash flow to creditors = $724 – ($19,260 – 16,152) Cash flow to creditors = –$2,384
medium
open question
corporate finance
english
376
2
1
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release_basic
1,069
english_376_3_r1
nan
For 2015, calculate the cash flow to stockholders.
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table
$1,890.98
Net new equity = Common stock_{end} – Common stock_{beg} Common stock + Retained earnings = Total owners’ equity Net new equity = (OE – RE)_{end} – (OE – RE)_{beg} Net new equity = OE_{end} – OE_{beg} + RE_{beg} – RE_{end} RE_{end} = RE_{beg} + Additions to RE So: Net new equity = OE_{end} – OE_{beg} + RE_{beg}...
medium
open question
corporate finance
english
376
3
0
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release_basic
1,070
english_377_1_r1
The most recent financial statements for Heine, Inc., are shown here: <image_1> Assets and costs are proportional to sales. Debt and equity are not. A dividend of $3,500 was paid, and the company wishes to maintain a constant payout ratio. Next year’s sales are projected to be $45,426.
What external financing is needed?
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table
$13,184.18
An increase of sales to $45,426 is an increase of: Sales increase = ($45,426 – 40,200) / $40,200 Sales increase = .1300, or 13.00% Assuming costs and assets increase proportionally, the pro forma financial statements will look like this: <ans_image_1> The payout ratio is constant, so the dividends paid this year...
hard
open question
corporate finance
english
377
1
1
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release_basic
1,071
english_378_1_r1
The most recent financial statements for Wise Co. are shown here: <image_1> Assets and costs are proportional to sales. The company maintains a constant 30 percent dividend payout ratio and a constant debt-equity ratio.
What is the maximum increase in sales that can be sustained assuming no new equity is issued?
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table
$5,845.58
The maximum percentage sales increase without issuing new equity is the sustainable growth rate. To calculate the sustainable growth rate, we first need to calculate the ROE, which is: ROE = NI / TE ROE = $14,190 / $83,000 ROE = .1710 The plowback ratio, b, is one minus the payout ratio, so: b = 1 – .30 b = .7...
medium
open question
corporate finance
english
378
1
1
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release_basic
1,072
english_379_1_r1
The most recent financial statements for Williamson Inc., are shown here (assuming no income taxes): <image_1> Assets and costs are proportional to sales. Debt and equity are not. No dividends are paid. Next year’s sales are projected to be $9,006.
What is the external financing needed?
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table
$430
An increase of sales to $9,006 is an increase of: Sales increase = ($9,006 – 7,900) / $7,900 Sales increase = .14, or 14% Assuming costs and assets increase proportionally, the pro forma financial statements will look like this: <ans_image_1> If no dividends are paid, the equity account will increase by the net ...
easy
open question
corporate finance
english
379
1
1
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release_basic
1,073
english_380_1_r1
The most recent financial statements for Moose Tours, Inc., appear below. Sales for 2016 are projected to grow by 20 percent. Interest expense will remain constant, the tax rate and the dividend payout rate will also remain constant. Costs, other expenses, current assets, fixed assets, and accounts payable increase spo...
If the firm is operating at full capacity and no new debt or equity is issued, what external financing is needed to support the 20 percent growth rate in sales?
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table
$7,583
Assuming costs vary with sales and a 20 percent increase in sales, the pro forma income statement will look like this: <ans_image_1> The payout ratio is constant, so the dividends paid this year is the payout ratio from last year times net income, or: Dividends = ($27,331 / $91,104)($110,799) Dividends = $33,239 A...
medium
open question
corporate finance
english
380
1
1
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release_basic
1,074
english_381_1_r1
<image_1>
Compute the present value for the first row in the table.
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table
$8,047.44
To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} <ans_image_1> PV = $13,827 / (1.07)^{8} = $8,047.44
easy
open question
corporate finance
english
381
1
1
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release_basic
1,075
english_381_2_r1
nan
Compute the present value for the second row in the table.
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table
$7,127.18
To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} <ans_image_2> PV = $43,852 / (1.15)^{13} = $7,127.18
easy
open question
corporate finance
english
381
2
1
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release_basic
1,076
english_381_3_r1
nan
Compute the present value for the third row in the table.
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table
$123,048.11
To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} <ans_image_3> PV = $725,380 / (1.11)^{17} = $123,048.11
easy
open question
corporate finance
english
381
3
1
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release_basic
1,077
english_381_4_r1
nan
Compute the present value for the fourth row in the table
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table
$7,988.07
To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} <ans_image_4> PV = $590,710 / (1.18)^{26} = $7,988.07
easy
open question
corporate finance
english
381
4
1
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release_basic
1,078
english_382_1_r1
<image_1>
Solve for the unknown interest rate for the first row in the table.
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table
.0927, or 9.27%
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for r, we get: r = (FV / PV)^{1/t} – 1 <ans_image_1> FV = $345 = $242(1 + r)^{4}; r = ($345 / $242)^{1/4} –...
easy
open question
corporate finance
english
382
1
1
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release_basic
1,079
english_382_2_r1
nan
Solve for the unknown interest rate for the second row in the table.
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table
.1074, or 10.74%
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for r, we get: r = (FV / PV)^{1/t} – 1 <ans_image_2> FV = $927 = $410(1 + r)^{8}; r = ($927 / $410)^{1/8} –...
easy
open question
corporate finance
english
382
2
1
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release_basic
1,080
english_382_3_r1
nan
Solve for the unknown interest rate for the third row in the table.
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table
.0698, or 6.98%
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for r, we get: r = (FV / PV)^{1/t} – 1 <ans_image_3> FV = $152,184 = $51,700(1 + r)^{16}; r = ($152,184 / ...
easy
open question
corporate finance
english
382
3
1
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release_basic
1,081
english_382_4_r1
nan
Solve for the unknown interest rate for the fourth row in the table.
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table
.1324, or 13.24%
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for r, we get: r = (FV / PV)^{1/t} – 1 <ans_image_1> FV = $538,600 = $18,750(1 + r)^{27}; r = ($538,600 / $...
easy
open question
corporate finance
english
382
4
1
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release_basic
1,082
english_383_1_r1
<image_1>
Solve for the unknown number of years for the first row in the table.
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table
10.64 years
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for t, we get: t = ln(FV / PV) / ln(1 + r) <ans_image_1> FV = $1,284 = $625(1.07)^{t}; t = ln($1,284 / $625...
easy
open question
corporate finance
english
383
1
1
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release_basic
1,083
english_383_2_r1
nan
Solve for the unknown number of years for the second row in the table.
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table
14.81 years
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for t, we get: t = ln(FV / PV) / ln(1 + r) <ans_image_2> FV = $4,341 = $810(1.112)^{t}; t = ln($4,341 / $81...
easy
open question
corporate finance
english
383
2
1
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release_basic
1,084
english_383_3_r1
nan
Solve for the unknown number of years for the third row in the table.
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table
20.35 years
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for t, we get: t = ln(FV / PV) / ln(1 + r) <ans_image_3> FV = $402,662 = $16,500(1.17)^{t}; t = ln($402,662...
easy
open question
corporate finance
english
383
3
1
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release_basic
1,085
english_383_4_r1
nan
Solve for the unknown number of years for the fourth row in the table.
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table
25.01 years
To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r)^{t} Solving for t, we get: t = ln(FV / PV) / ln(1 + r) <ans_image_4> FV = $147,350 = $21,500(1.08)^{t}; t = ln($147,350...
easy
open question
corporate finance
english
383
4
1
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release_basic
1,086
english_384_1_r1
Wilkinson Co. has identified an investment project with the following cash flows. <image_1>
If the discount rate is 10 percent, what is the present value of these cash flows?
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table
$3,125.96
The time line is: <ans_image_1> To solve this problem, we must find the PV of each cash flow and add them. To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} PV@10% = $675 / 1.10 + $880 / 1.10^{2} + $985 / 1.10^{3} + $1,530 / 1.10^{4} = $3,125.96
easy
open question
corporate finance
english
384
1
1
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release_basic
1,087
english_384_2_r1
nan
What is the present value at 18 percent?
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table
$2,592.69
The time line is: <ans_image_1> To solve this problem, we must find the PV of each cash flow and add them. To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} PV@18% = $675 / 1.18 + $880 / 1.18^{2} + $985 / 1.18^{3} + $1,530 / 1.18^{4} = $2,592.69
easy
open question
corporate finance
english
384
2
1
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release_basic
1,088
english_384_3_r1
nan
What is the present value at 24 percent?
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table
$2,280.44
The time line is: <ans_image_1> To solve this problem, we must find the PV of each cash flow and add them. To find the PV of a lump sum, we use: PV = FV / (1 + r)^{t} PV@24% = $675 / 1.24 + $880 / 1.24^{2} + $985 / 1.24^{3} + $1,530 / 1.24^{4} = $2,280.44
easy
open question
corporate finance
english
384
3
1
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release_basic
1,089
english_385_1_r1
<image_1>
Find the EAR for the first row in the table.
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table
.0687, or 6.87%
For discrete compounding, to find the EAR, we use the equation: EAR = [1 + (APR / m)]^{m} – 1 EAR = [1 + (.067 / 4)]^{4} – 1 = .0687, or 6.87%
easy
open question
corporate finance
english
385
1
1
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release_basic
1,090
english_385_2_r1
nan
Find the EAR for the second row in the table.
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table
.1313, or 13.13%
For discrete compounding, to find the EAR, we use the equation: EAR = [1 + (APR / m)]^{m} – 1 EAR = [1 + (.124 / 12)]^{12} – 1 = .1313, or 13.13%
easy
open question
corporate finance
english
385
2
1
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release_basic
1,091
english_385_3_r1
nan
Find the EAR for the third row in the table.
null
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table
.1029, or 10.29%
For discrete compounding, to find the EAR, we use the equation: EAR = [1 + (APR / m)]^{m} – 1 EAR = [1 + (.098 / 365)]^{365} – 1 = .1029, or 10.29%
easy
open question
corporate finance
english
385
3
1
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release_basic
1,092
english_385_4_r1
nan
Find the EAR for the fourth row in the table.
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table
.0876, or 8.76%
To find the EAR with continuous compounding, we use the equation: EAR = e^{r} – 1 EAR = e^{.084} – 1 = .0876, or 8.76%
easy
open question
corporate finance
english
385
4
1
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release_basic
1,093
english_386_1_r1
<image_1>
Find the APR for the first row in the table.
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table
.0871, or 8.71%
Here, we are given the EAR and need to find the APR. Using the equation for discrete compounding: EAR = [1 + (APR / m)]^{m} – 1 We can now solve for the APR. Doing so, we get: APR = m[(1 + EAR)^{1/m} – 1] EAR = .0890 = [1 + (APR / 2)]^{2} – 1 APR = 2[(1.0890)^{1/2} – 1] = .0871, or 8.71%
easy
open question
corporate finance
english
386
1
1
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release_basic
1,094
english_386_2_r1
nan
Find the APR for the second row in the table.
null
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table
.1735, or 17.35%
Here, we are given the EAR and need to find the APR. Using the equation for discrete compounding: EAR = [1 + (APR / m)]^{m} – 1 We can now solve for the APR. Doing so, we get: APR = m[(1 + EAR)^{1/m} – 1] EAR = .1880 = [1 + (APR / 12)]^{12} – 1 APR = 12[(1.1880)^{1/12} – 1] = .1735, or 17.35%
easy
open question
corporate finance
english
386
2
1
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release_basic
1,095
english_386_3_r1
nan
Find the APR for the third row in the table.
null
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table
.0990, or 9.90%
Here, we are given the EAR and need to find the APR. Using the equation for discrete compounding: EAR = [1 + (APR / m)]^{m} – 1 We can now solve for the APR. Doing so, we get: APR = m[(1 + EAR)^{1/m} – 1] EAR = .1040 = [1 + (APR / 52)]^{52} – 1 APR = 52[(1.1040)^{1/52} – 1] = .0990, or 9.90%
easy
open question
corporate finance
english
386
3
1
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release_basic
1,096
english_386_4_r1
nan
Find the APR for the fourth row in the table.
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table
.1275, or 12.75%
Solving the continuous compounding EAR equation: EAR = e^{r} – 1 We get: APR = ln(1 + EAR) APR = ln(1 + .1360) APR = .1275, or 12.75%
easy
open question
corporate finance
english
386
4
1
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release_basic
1,097
english_387_1_r1
The present value of the following cash flow stream is $7,300 when discounted at 7.1 percent annually. <image_1>
What is the value of the missing cash flow?
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table
$1,717.65
The time line is: <ans_image_1> We are given the total PV of all four cash flows. If we find the PV of the three cash flows we know, and subtract them from the total PV, the amount left over must be the PV of the missing cash flow. So, the PV of the cash flows we know are: PV of Year 1 CF: $1,500 / 1.071 = $1,400.56...
medium
open question
corporate finance
english
387
1
1
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release_basic
1,098
english_388_1_r1
An All-Pro defensive lineman is in contract negotiations. The team has offered the following salary structure: <image_1> All salaries are to be paid in a lump sum. The player has asked you as his agent to renegotiate the terms. He wants a $10 million signing bonus payable today and a contract value increase of $2,7...
If the interest rate is 5.7 percent compounded daily, what is the amount of his quarterly check? Assume 365 days in a year.
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table
$1,390,909.66
To find the quarterly salary for the player, we first need to find the PV of the current contract. The cash flows for the contract are annual, and we are given a daily interest rate. We need to find the EAR so the interest compounding is the same as the timing of the cash flows. The EAR is: EAR = [1 + (.057/365)]^{365...
hard
open question
corporate finance
english
388
1
1
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release_basic
1,099
english_389_1_r1
Maxwell Software, Inc., has the following mutually exclusive projects. <image_1>
Suppose the company’s payback period cutoff is two years. Which of these two projects should be chosen?
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table
Project A
The payback period is the time that it takes for the cumulative undiscounted cash inflows to equal the initial investment. Project A: Cumulative cash flows Year 1 = $13,200 = $13,200 Cumulative cash flows Year 2 = $13,200 + 8,300 = $21,500 Companies can calculate a more precise value using fractional years. To cal...
medium
open question
corporate finance
english
389
1
1
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release_basic