Chapter 22
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Subject
Finance
Date
Jan 9, 2024
Type
Pages
42
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1.
Award: 10.00
points
Problems? Adjust credit for all students.
Are the following statements true or false?
Required:
a.
All else equal, the futures price on a stock index with a high dividend yield should be higher than the futures price on an index with a low dividend yield.
False
b.
All else equal, the futures price on a high-beta stock should be higher than the futures price on a low-beta stock.
False
c.
The beta of a short position in the S&P 500 futures contract is negative.
True
Explanation:
a. False. For any given level of the stock index, the futures price will be lower when the dividend yield is higher. This follows from spot-futures parity:
F
0
= S
0
(1 + r
f
− d
)
T
b. False. The parity relationship tells us that the futures price is determined by the stock price, the interest rate, and the dividend yield; it is not a function of beta.
c. True. The short futures position will profit when the S&P 500 Index falls. This is a negative beta position.
Worksheet
Difficulty: 1 Basic
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
2.
Award: 10.00
points
Problems? Adjust credit for all students.
Refer to the Mini-S&P contract in Figure 22.1
. Assume the closing price for this day.
Required:
a. If the margin requirement is 10% of the futures price times the contract multiplier of $50, how much must you deposit with your broker to trade the December maturity contract?
b. If the December futures price increases to $4,400, what percentage return will you earn on your investment if you entered the long side of the contract at the price shown in the figure?
c. If the December futures price falls by 1%, what is your percentage return?
Required A
Required B
Complete this question by entering your answers in the tabs below.
If the margin requirement is 10% of the futures price times the contract multiplier of $50, how much must you deposit with
your broker to trade the December maturity contract?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Required A
Required B
Required C
$
Required margin deposit
21,718.75
Explanation:
a. The closing futures price for the December contract was $4,343.75, which has a dollar value of:
$50 × $4,343.75 = $217,187.50
Therefore, the required margin deposit is: $217,187.50 × 0.10 = $21,718.75
b. The futures price increases by: $4,400.00 − $4,343.75 = 56.25
The credit to your margin account would be: $56.25 × $50 = $2,812.50
This is a percent gain of: $2,812.50 ÷ $21,718.75 = 0.1295 = 12.95%
Note that the futures price itself increased by only $56.25 ÷ $4,343.75 = 1.29%.
c. Following the reasoning in part (b), any change in F is magnified by a ratio of (l ÷ margin requirement). This is the leverage effect. The return will be −10%.
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
2.
Award: 10.00
points
Problems? Adjust credit for all students.
Refer to the Mini-S&P contract in Figure 22.1
. Assume the closing price for this day.
Required:
a. If the margin requirement is 10% of the futures price times the contract multiplier of $50, how much must you deposit with your broker to trade the December maturity contract?
b. If the December futures price increases to $4,400, what percentage return will you earn on your investment if you entered the long side of the contract at the price shown in the figure?
c. If the December futures price falls by 1%, what is your percentage return?
Required A
Required C
Complete this question by entering your answers in the tabs below.
If the December futures price increases to 4,400, what percentage return will you earn on your investment if you entered the
long side of the contract at the price shown in the figure?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Required A
Required B
Required C
Percentage return on net investment
12.95
%
Explanation:
a. The closing futures price for the December contract was $4,343.75, which has a dollar value of:
$50 × $4,343.75 = $217,187.50
Therefore, the required margin deposit is: $217,187.50 × 0.10 = $21,718.75
b. The futures price increases by: $4,400.00 − $4,343.75 = 56.25
The credit to your margin account would be: $56.25 × $50 = $2,812.50
This is a percent gain of: $2,812.50 ÷ $21,718.75 = 0.1295 = 12.95%
Note that the futures price itself increased by only $56.25 ÷ $4,343.75 = 1.29%.
c. Following the reasoning in part (b), any change in F is magnified by a ratio of (l ÷ margin requirement). This is the leverage effect. The return will be −10%.
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
2.
Award: 10.00
points
Problems? Adjust credit for all students.
Refer to the Mini-S&P contract in Figure 22.1
. Assume the closing price for this day.
Required:
a. If the margin requirement is 10% of the futures price times the contract multiplier of $50, how much must you deposit with your broker to trade the December maturity contract?
b. If the December futures price increases to $4,400, what percentage return will you earn on your investment if you entered the long side of the contract at the price shown in the figure?
c. If the December futures price falls by 1%, what is your percentage return?
Required B
Required C
Complete this question by entering your answers in the tabs below.
If the December futures price falls by 1%, what is your percentage return?
Note: Negative value should be indicated by a minus sign.
Required A
Required B
Required C
Percentage return on net investment
(10)
%
Explanation:
a. The closing futures price for the December contract was $4,343.75, which has a dollar value of:
$50 × $4,343.75 = $217,187.50
Therefore, the required margin deposit is: $217,187.50 × 0.10 = $21,718.75
b. The futures price increases by: $4,400.00 − $4,343.75 = 56.25
The credit to your margin account would be: $56.25 × $50 = $2,812.50
This is a percent gain of: $2,812.50 ÷ $21,718.75 = 0.1295 = 12.95%
Note that the futures price itself increased by only $56.25 ÷ $4,343.75 = 1.29%.
c. Following the reasoning in part (b), any change in F is magnified by a ratio of (l ÷ margin requirement). This is the leverage effect. The return will be −10%.
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
3.
Award: 10.00
points
Problems? Adjust credit for all students.
Required:
a. A futures contract on a non-dividend-paying stock index with current value $150 has a maturity of one year. If the T-bill rate is 3%, what should the futures price be?
b. What should the futures price be if the maturity of the contract is three years?
c. What if the interest rate is 6% and the maturity of the contract is three years?
Required A
Required B
Complete this question by entering your answers in the tabs below.
A futures contract on a non-dividend-paying stock index with current value $150 has a maturity of one year. If the T-bill rate
is 3%, what should the futures price be?
Note: Round your answer to 2 decimal places.
Required A
Required B
Required C
$
Futures price
154.50
Explanation:
a. F
0
= S
0
× (1 + r
f
) = $150 × 1.03 = $154.50
b. F
0
= S
0
× (1 + r
f
)
3
= $150 × 1.03
3
= $163.91
c. F
0
= $150 × 1.06
3
= $178.65
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
3.
Award: 10.00
points
Problems? Adjust credit for all students.
Required:
a. A futures contract on a non-dividend-paying stock index with current value $150 has a maturity of one year. If the T-bill rate is 3%, what should the futures price be?
b. What should the futures price be if the maturity of the contract is three years?
c. What if the interest rate is 6% and the maturity of the contract is three years?
Required A
Required C
Complete this question by entering your answers in the tabs below.
What should the futures price be if the maturity of the contract is three years?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Required A
Required B
Required C
$
Futures price
163.91
Explanation:
a. F
0
= S
0
× (1 + r
f
) = $150 × 1.03 = $154.50
b. F
0
= S
0
× (1 + r
f
)
3
= $150 × 1.03
3
= $163.91
c. F
0
= $150 × 1.06
3
= $178.65
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 22: Futures Markets > Chapter 22 Problems - Algorithmic & Static
References
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c. zero
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a. riskier than the market.
b. always the most attractive to investors.
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d. exactly as risky as the market.
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correctly priced.
overpriced. this is the wrong answer
underpriced.
The answer cannot be determined.
QUESTION 2
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%
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Pls show formula and solution not in spreadsheet form,
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If Stock Z is correctly priced, you can infer that the expected market return is ____%.
Do not round any intermediate work, but round your final answer to 2 decimal places (example: enter 12.34 for 12.34%). Do not enter the % sign.
Margin of error for correct responses: +/- .05
expected return
(implied by market price)
Beta
Stock Z
12%
1.48
T-bonds
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remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places.
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II. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium.
III. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premium.
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kindly be as detailed as possible with the calculations. Preferably in excel.
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PLEASE ANSWER CORRECTLY PLEASE CHECK!
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please help someone!!
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Start with A-C and I will submit seperately for D! Thank you :)
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Ο
A stock has a required return of 16%, the risk-free
rate is 5.5%, and the market risk premium is 4%.
a. What is the stock's beta? Round your answer to
two decimal places.
b. If the market risk premium increased to 7%, what
would happen to the stock's required rate of
return? Assume that the risk-free rate and the
beta remain unchanged. Do not round
intermediate calculations. Round your answer to
two decimal places.
I. If the stock's beta is greater than 1.0, then the
change in required rate of return will be greater
than the change in the market risk premium.
II. If the stock's beta is less than 1.0, then the
change in required rate of return will be greater
than the change in the market risk premium.
III. If the stock's beta is greater than 1.0, then the
change in required rate of return will be less
than the change in the market risk premium.
IV. If the stock's beta is equal to 1.0, then the
change in required rate of return will be greater
than the change in the market risk…
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Already have answers for A-C, just need D. Thank you! :)
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Scenario 2: The following table shows the returns for the market index (Market - M) and the returns for two stocks (Asset X & Y) under three scenarios. Assume each scenario has an equal chance of occurring (33%). Bad Okay Good Market - M-5% 5% 15% Asset - X -2%-3% 25% Asset - Y -4%-6% 30% What is the correlation of "Asset - Y" to "Market M"? enter your number to two decimal places without the percent sign. Example 23% enter as .23.
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please give Step by Step Solution otherwise i give you DISLIKE !
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Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
ISBN:9780077861759
Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:McGraw-Hill Education