PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Textbook Question
Chapter 8, Problem 15PS
CAPM The Treasury bill rate is 4%, and the expected return on the market portfolio is 12%. Using the
- a. Draw a graph similar to Figure 8.6 showing how the expected return varies with beta.
- b. What is the risk premium on the market?
- c. What is the required
return on an investment with a beta of 1.5? - d. If an investment with a beta of .8 offers an expected return of 9.8%, does it have a positive
NPV ? - e. If the market expects a return of 11.2% from stock X, what is its beta?
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For each of the cases shown in the following table, use the capital asset pricing model
(CAPM) to find the required return and explain your answer.
Case
Risk-free rate
Market return
Beta
(%)
(%)
8
A
5
1.3
В
8.
13
0.9
C
9
12
-0.2
D
10
15
1.0
E
10
0.6
8. Assume the risk-free rate is 6.7% and the expected return on the market portfolio is 7.8%. Use the capital asset pricing
model (CAPM) to find the required return for each of the securities in the table here, 7.
Review On
Click the icon to see the Worked Solution.
The required return for investment A is
%. (Round to one decimal place.)
The required return for investment B is
%. (Round to one decimal place.)
The required return for investment C is
%. (Round to one decimal place.)
The required return for investment D is
%. (Round to one decimal place.)
The required return for investment E is
%. (Round to one decimal place.)
7: Data Table
(Click on the icon here
in order to copy its contents of the data table below into a spreadsheet.)
Security
Beta
A
1.34
в
0.93
0.13
0.96
E
0.67
1. The return on market portfolio is 12% and the risk-free rate is 5%. If the beta coefficient is 1.4, what is the cost of capital using the capital asset pricing model?
2. Using the information in number 1 and if the beta coefficient increases to 1.6, the required rate of return will increase (decrease) by:
Chapter 8 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - Portfolio risk and return Look back at the...Ch. 8 - Portfolio risk and return Mark Harrywitz proposes...Ch. 8 - Portfolio risk and return Ebenezer Scrooge has...Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Portfolio beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM True or false? Explain or qualify as...
Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Three-factor modelThe following table shows the...Ch. 8 - Efficient portfolios Look again at the set of the...
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- Use the basic equation for the capital asset pricing model (CAPM) to find therequired return for an asset with a beta of 2.20 when the risk-free rate and market return are 8% and12%, respectively.arrow_forward4. Explain what the Capital Asset Pricing Model (CAPM) is and calculate and explain the result of the CAPM based on the following data. a. Expected Return: 8% b. Risk-free rate: 4% c. Beta of the investment: 1.2 ER=Rf+B(ERm - Rf) where: ER = expected return of investment Rf risk-free rate B;= beta of the investment - (ERm - Rf) = market risk premiumarrow_forwardGiven the current risk-free rate is 9% and the market return is 12%. TI Investment Beta A 0.65 1.12 C 0.87 1.19 E 0.56 Calculate the required rate of return for each of the investments by using the Capital Asset Pricing Model (CAPM). ii. i. If you invest an equal amount in each investment, what is the portfolio beta?arrow_forward
- Your estimate of the market risk premium is 5%. The risk-free rate of return is 4%, and JB Hi Fi has a beta of 1.5. According to the Capital Asset Pricing Model (CAPM), what is its expected return? Select one: 1. 10.4% 2. 11.0% 3. 11.5% 4. 11.9%arrow_forwardCAPM The Treasury bill rate is 4%, and the expected return on the market portfolio is 12%. Using the capital asset pricing model: Draw a graph similar to show how the expected return varies with beta. What is the risk premium on the market? What is the required return on an investment with a beta of 1.5? If an investment with a beta of .8 offers an expected return of 9.8%, does it have a positive NPV? If the market expects a return of 11.2% from stock X, what is its beta?arrow_forwardSuppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?arrow_forward
- CAPM: The Treasury bill rate is 5%, and the expected return on the market portfolio is 12%. On the basis of Capital Asset Pricing Model: What is the risk premium of the market? What is the risk premium of an investment with a beta of 1.5? What is the required return of an investment with a beta of 1.5? If an investment has a beta of .8 and offers an expected return of 11% (think of it as its IRR), does it have a positive NPV?arrow_forwardManipulating CAPM Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.59 when the risk-free rate and market return are 7% and 12%, respectively. b. Find the risk-free rate for a firm with a required return of 10.925% and a beta of 0.84 when the market return is 12%. c. Find the market return for an asset with a required return of 9.417% and a beta of 0.31 when the risk-free rate is 8%. d. Find the beta for an asset with a required return of 19.559% when the risk-free rate and market return are 10% and 17.9%, respectively. a. The required return for an asset with a beta of 1.59 when the risk-free rate and market return are 7% and 12%, respectively, is %. (Round to two decimal places.) b. The risk-free rate for a firm with a required return of 10.925% and a beta of 0.84 when the market return is 12% is %. (Round to two decimal places.) c. The market return for an asset with a…arrow_forwardQUESTIONS: 1) Assuming that the risk-free rate of return is currently 3,2%, the market risk premium is 6% whereas the beta of HelloFresh SH. stock is 1.8, compute the required rate of return using CAPM. 2) Compute the value of each investment based on your required rate of return and interpret the results comparing with the market values. 3) Which investment would you select? Explain why using appropriate financial jargon (language). 4) Assume HelloFresh SH's CFO Mr. Christian Gaertner expects an earnings upturn resulting increase in growth (rate) of 1%. How does this affect your answers to Question 2 and 3? 5) AACSB Critical Thinking Questions: A) Companies pay rating agencies such as Moody's and S&P to rate their bonds, and the costs can be substantial. However, companies are not required to have their bonds rated in the first place; doing so is strictly voluntary. Why do you think they do it? (Textbook page: 198) B) What are the difficulties in using the PE ratio to value stock?…arrow_forward
- Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.65 when the risk-free rate and market return are 8% and 14%, respectively. b. Find the risk-free rate for a firm with a required return of 11.366% and a beta of 1.29 when the market return is 10%. c. Find the market return for an asset with a required return of 7.711% and a beta of 0.89 when the risk-free rate is 4%. d. Find the beta for an asset with a required return of 6.552% when the risk-free rate and market return are 6% and 8.4%, respectively.arrow_forwardManipulating CAPM Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.63 when the risk-free rate and market return are 5% and 13%, respectively. b. Find the risk-free rate for a firm with a required return of 14.363% and a beta of 1.07 when the market return is 14%. C. Find the market return for an asset with a required return of 9.045% and a beta of 1.57 when the risk-free rate is 3%. d. Find the beta for an asset with a required return of 10.255% when the risk-free rate and market return are 6% and 9.7%, respectively. a. The required return for an asset with a beta of 1.63 when the risk-free rate and market return are 5% and 13%, respectively, is %. (Round to two decimal places.)arrow_forwardConsider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium. (b) Draw the security market line, showing the positions of stocks A and B, as well as the risk-free rate and the market portfolio on the plot. You are not required to draw the security market line to scale. (c) Consider stock C that has an expected return of 30%, a beta of 2.3, and a standard deviation of returns of 20%. According to the CAPM, calculated in part (a) above, is stock C overpriced, underpriced, or correctly priced? What would you recommend to investors? (d) Briefly explain the definition of market portfolio in a CAPM economyarrow_forward
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