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3610
Subject
Finance
Date
Apr 25, 2024
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Uploaded by BrigadierChinchillaMaster1091
Consider the following table, which gives a security analyst’'s expected return on two stocks and the market index in two scenarios: Aggressive Defensive Scenario Probability Market Return Stock Stock 1 0.5 6% 2.8% 4.6% 2 0.5 15 28 10 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) Beta A § Beta D g b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) Rate of return on A 15.40| % g 7.30|% Rate of return on D c. If the T-bill rate is 7%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)
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Related Questions
Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios:
Scenario
Probability
Market Return
Aggressive Stock
Defensive Stock
1
0.5
6%
2.0%
5.0%
2
0.5
20
32
15
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
Beta A :
Beta D:
b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
% Rate of Return on A:
% Rate of Return on B:
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Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios:
Scenario
Probability
Market Return
Aggressive Stock
Defensive Stock
1
0.5
6%
2.6%
4.4%
2
0.5
16
27
14
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
c. If the T-bill rate is 7%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)
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onsider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios:
Scenario
Probability
Market Return
Aggressive Stock
Defensive Stock
1
0.5
7%
2.2%
5.0%
2
0.5
15
25
12
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
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Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios:
Scenario
Probability
Market Return
Aggressive Stock
Defensive Stock
1
0.5
6%
2.0%
5.0%
2
0.5
20
32
15
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
b. What is the expected rate of return on each stock?
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Consider the following table, which gives a security analyst's expected return on two stocks and the
market index in two scenarios:
Scenario Probability Market Return Aggressive Stock Defensive Stock
1
0.5
7%
3.7%
5.5%
30
2
0.5
BETA A
BETA D
20
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
14
b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
Rate of Return on A %
Rate of Return on D %
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Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for
the rate of return on the market:
Market Return Aggressive Stock
-4%
38
6%
24
Aggressive stock
Defensive stock
a. What are the betas of the two stocks? (Do not round intermediate calculations. Round your answers to 2 decimal
places.)
Beta
Aggressive stock
Defensive stock
Defensive Stock
b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely to be 6% or
24%? (Do not round intermediate calculations. Round your answers to 1 decimal place.)
Expected Rate of
Return
5%
13
%
%
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Consider the following table, which gives a security analyst's expected return on two stocks and the market index in two scenarios:
Defensive
Stock
5.5%
14
Scenario Probability Market Return
1
0.5
0.5
2
Beta A
Beta D
Required:
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
Rate of return on A
Rate of return on D
7%
20
b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)
Alpha A
%
Aggressive
Stock
3.7%
30
%
%
c. If the T-bill rate is 8%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round
intermediate calculations. Round your answers to 2 decimal places.)
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Consider the following table, which gives a security analyst's expected return on two stacks and the market i
Aggressive
Defensive
Scenario
Probability Market Return
Stack
Stock
1
0.5
0.5
2.6%
4.4%
16
27
Required:
a. What are the belas of the two storks? (Round your answers to 2 decimal places.)
Beta A
Beta D
b. What is the expected rate of return on each stack? (Round your answers to 2 decimal places.)
Rate of return on A
Rata of return on D
%
%
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b) Suppose that you observe the following information in Table 2 for stocks A and B:
Table 2
Expected Return
(%)
11%
Stock
Beta
A
0.8
В
14%
1.5
The risk-free rate of return is 6% and the expected rate of return on the market index
is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your
calculations. Explain what the alpha of the single-factor model represents and interpret
your results.
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Consider the following table, which gives a security analyst's expected return on two stocks for two particular market returns:
Market Return
68
20
Aggressive Stock
2.0%
32
Defensive Stock
5.0%
15
a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)
Beta A
Beta D
b. What is the expected rate of return on each stock if the market return is equally likely to be 6% or 20% ? (Round your answers to 2
decimal places.)
Rate of return on A
Rate of return on D
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None
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Suppose that you observe the following information in Table 2 for stocks A and B:
Table 2
Expected Return
(%)
11%
Stock
Beta
A
0.8
B
14%
1.5
The risk-free rate of return is 6% and the expected rate of return on the market index
is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your
calculations. Explain what the alpha of the single-factor model represents and interpret
your results.
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Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of
return on the market:
Market
Return
7%
23
Aggressive
Stock
-4%
37
Defensive
Stock
Hurdle rate
4%
Required:
a. What are the betas of the two stocks?
11
b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely?
e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the
defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%.
Complete this question by entering your answers in the tabs below.
Required A Required B
What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the
defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%.
Note: Do not round intermediate…
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2. Calculate the expected (required) return for each of the following stocks when
the risk-free rate is 0.08 and you expect the market return to be 0.14.
Stock
Beta
B
C
A
P ש ח ס ח
D
E
1.72
1.14
0.76
F
0.44
0.03
-0.79
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Please show working
Please answer ALL OF QUESTIONS 1 AND 2
1. Assume that the risk-free rate is 3.5% and the market risk premium is 8%.
a. What is the required return for the overall stock market? Round your answer to two decimal places. __________ %
b. What is the required rate of return on a stock with a beta of 2.4? Round your answer to two decimal places. __________ %
2. An individual has $50,000 invested in a stock with a beta of 0.8 and another $55,000 invested in a stock with a beta of 2.0. If these are the only two investments in her portfolio, what is her portfolio's beta? Do not round intermediate calculations. Round your answer to two decimal places._______
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When the required returns on all stocks are graphed against their corresponding betas,
Question 16Answer
a.we obtain the security market line
b.No option is correct
c.we obtain the beta
d.we obtain the return line
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Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of
return on the market:
Market
Return
6%
22
Aggressive
Stock
-3%
35
Defensive
Stock
4%
12
Required:
a. What are the betas of the two stocks?
b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely?
e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the
defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.
Complete this question by entering your answers in the tabs below.
Required A Required B
Required E
What are the betas of the two stocks?
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
Aggressive stock
Defensive stock
Beta
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Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of
return on the market:
Market
Return
6%
22
Aggressive
Stock
-3%
35
Defensive
Stock
4%
12
Required:
a. What are the betas of the two stocks?
b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely?
e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the
defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.
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Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D.
a. Find the beta of each stock. (Round your answers to 2 decimal places.)
Stock A
Stock D
b. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. (Enter your answers as a whole percent.)
Market Portfolio %
Stock A %
Stock D %
c. If the T-bill rate is 5%, what does the CAPM say about the fair expected rate of return on the two stocks? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Stock A
Stock D
d. Which stock seems to be a better buy on the basis of your answers to (a) through (c)?
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For the next question, consider the two stocks, A and B, in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t.
P0
Q0
P1
Q1
A
50
100
45
100
B
30
200
34
200
Calculate the rate of return on a price-weighted index of the two stocks for between t = 0 and t = 1. Assume the divisor value is 2. Enter your answer as a decimal, rounded to four decimal places (e.g, 0.0123).
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b. Consider the following information about three stocks:
Probability of
State of
i.
ii.
iii.
iv.
State of
Economy
V.
Boom
Recession
Economy
0.40
0.60
From the information given, you are required to answer the following questions.
Compute the Standard Deviation for each stock.
Compute the Coefficient Variation for each stock.
Based on your computation in part (i) and (ii), which stock is riskier? Explain your
answer.
Rate of Return if State Occurs
Stock Hang
Stock Hang
Jebat
7%
13%
Tuah
28%
(5%)
Stock Hang
Kasturi
15%
3%
Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5,
RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested
in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio.
Based on your answer in part (iv), compute the required rate of return for this portfolio,
given that the market rate of return is 13% and risk-free rate is 5%.
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Suppose you have the following expectations about the market condition and the returns on Stocks X and Y.
a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)?
b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?
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The stock market can have three potential returns with the following probabilities. Note "otherwise" is whatever
probability it takes for all three probabilities to sum to one. So, if the first two probabilities are each .30, then "otherwise"
represents a probability of .40.
Probability Return
-0.04
0.24
0.38
otherwise
0.00
0.18
What is the stock market's standard deviation? Enter your answer in decimal form, and show 4 decimal places.
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Calculate the coefficients of variation for the following stocks:
Stock
Expected return
Standard deviation of return
1
0.065
0.25
2
0.06
0.17
3
0.14
0.24
What is the coefficient of variation for stock 1?
What is the coefficient of variation for stock 2?
What is the coefficient of variation for stock 3?
f you want to get the best risk-to-reward trade-off, which stock should you buy?
Stock 2
Stock 3
Stock 1
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Question 1
Suppose you have the following expectations about the market condition and the returns on Stocks X and Y.
Market Condition
Probability
Return on Stock X
Return on Stock Y
Bear Market
0.3
-3%
-5%
Normal Market
0.5
3%
5%
Bull Market
0.2
8%
15%
a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)?
b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?
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Problem 1
You are given the following information about stock X and the market portfolio, M:
Riskless Asset (f)
Stock X
Market Portfolio (M)
E(r)
0.04 (4%)
?
0.10
σ
0.00
0.30
0.20
You are not given the expected return of stock X. The correlation of the returns on the stock X and
the market portfolio is equal to 0.4.
a) What is the beta (6) of stock X?
b) Assuming the CAPM holds, what is the expected return on stock X?
c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market
portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300
in the market portfolio. What is the overall expected return, standard deviation and beta of
this portfolio?
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Suppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship:
E(RA) = (1.1)A1 + (0.8)A2
E(RB) = (0.7)A1 + (0.6)A2
E(RC) = (0.3)A1 + (0.4)A2
a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year.
b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…
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1
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Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows:
Stock
Expected Return
Standard Deviation
A
11
%
7
%
B
17
11
Correlation = –1
Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.)
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Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?
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E(FAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found
to be half of the required return (Rs) on stock B. The risk-free rate (R;) is one-fourth of the required
return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (BA) to beta of B
(BB).
a o
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Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows:
Stock
Expected Return
Standard Deviation
A
5
%
20
%
B
8
%
80
%
Correlation = –1
a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be substituted for the risk-free asset?) (Round your answer to 2 decimal places.)
b. Could the equilibrium rƒ be greater than 5.60%?multiple choice
Yes
No
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Please solve step by step for clarity, thank you!
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- Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 6% 2.0% 5.0% 2 0.5 20 32 15 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) Beta A : Beta D: b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) % Rate of Return on A: % Rate of Return on B:arrow_forwardConsider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 6% 2.6% 4.4% 2 0.5 16 27 14 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) c. If the T-bill rate is 7%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)arrow_forwardonsider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 7% 2.2% 5.0% 2 0.5 15 25 12 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)arrow_forward
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- Consider the following table, which gives a security analyst's expected return on two stocks and the market index in two scenarios: Defensive Stock 5.5% 14 Scenario Probability Market Return 1 0.5 0.5 2 Beta A Beta D Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) Rate of return on A Rate of return on D 7% 20 b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) Alpha A % Aggressive Stock 3.7% 30 % % c. If the T-bill rate is 8%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)arrow_forwardConsider the following table, which gives a security analyst's expected return on two stacks and the market i Aggressive Defensive Scenario Probability Market Return Stack Stock 1 0.5 0.5 2.6% 4.4% 16 27 Required: a. What are the belas of the two storks? (Round your answers to 2 decimal places.) Beta A Beta D b. What is the expected rate of return on each stack? (Round your answers to 2 decimal places.) Rate of return on A Rata of return on D % %arrow_forwardb) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.arrow_forward
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