Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 13, Problem 28QP
SML [LO4] Suppose you observe the following situation:
a. Calculate the expected return on each stock.
b. Assuming the
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2C)
Assume that the CAPM holds in the economy. The following data is available about the market portfolio, the riskless rate, and two risky assets, W and X: The market portfolio has a standard deviation equals to 10%, stock W has an expected return equals to 16%, standard deviation equals to 12%, and beta equals to one, stock X has a standard deviation equals to 6% and beta equals to 0.7. The risk-free rate is 3%.
What is the expected return and the beta of the market portfolio?
What is the expected return on asset X?
Does asset W lie on the Capital Market Line? Explain why or why not.
Suppose you invested $100,000 in these two stocks. The beta of your portfolio is 1.25. How much did you invest in each stock? What is the expected return of this portfolio?
A4 6 a
Suppose we observe two stocks with the following characteristics:
Stock
Expected return
Beta
K
20%
1.6
L
12%
0.9
a. An asset is said to be overvalued if its price is too high given its expected return and risk. The risk-free rate is currently 6%. Is one of the two stocks overvalued relative to the other? Explain your answer fully (i.e., provide reasons why you think the stock is or is not overvalued).
A4 6 b
b. Suppose we observe two stocks with the following characteristics:
Stock
Expected return
Beta
M
20%
1.6
N
12%
0.9
An asset is said to be undervalued if its price is too low given its expected return and risk. The risk-free rate is currently 6%. Is one of the two stocks undervalued relative to the other? Explain your answer fully (i.e., provide reasons why you think the stock is or is not undervalued).
Chapter 13 Solutions
Fundamentals of Corporate Finance
Ch. 13.1 - How do we calculate the expected return on a...Ch. 13.1 - In words, how do we calculate the variance of the...Ch. 13.2 - What is a portfolio weight?Ch. 13.2 - How do we calculate the expected return on a...Ch. 13.2 - Is there a simple relationship between the...Ch. 13.3 - What are the two basic parts of a return?Ch. 13.3 - Under what conditions will a companys announcement...Ch. 13.4 - Prob. 13.4ACQCh. 13.4 - Prob. 13.4BCQCh. 13.5 - What happens to the standard deviation of return...
Ch. 13.5 - What is the principle of diversification?Ch. 13.5 - Why is some risk diversifiable? Why is some risk...Ch. 13.5 - Why cant systematic risk be diversified away?Ch. 13.6 - Prob. 13.6ACQCh. 13.6 - What does a beta coefficient measure?Ch. 13.6 - True or false: The expected return on a risky...Ch. 13.6 - How do you calculate a portfolio beta?Ch. 13.7 - Prob. 13.7ACQCh. 13.7 - What is the security market line? Why must all...Ch. 13.7 - Prob. 13.7CCQCh. 13.8 - If an investment has a positive NPV, would it plot...Ch. 13.8 - What is meant by the term cost of capital?Ch. 13 - Prob. 13.1CTFCh. 13 - Prob. 13.5CTFCh. 13 - Beta is a measure of what?Ch. 13 - The slope of the security market line is equal to...Ch. 13 - Where would a negative net present value project...Ch. 13 - Prob. 1CRCTCh. 13 - Prob. 2CRCTCh. 13 - Systematic versus Unsystematic Risk [LO3] Classify...Ch. 13 - Systematic versus Unsystematic Risk [LO3] Indicate...Ch. 13 - Prob. 5CRCTCh. 13 - Diversification [LO2] True or false: The most...Ch. 13 - Portfolio Risk [LO2] If a portfolio has a positive...Ch. 13 - Beta and CAPM[LO4] Is it possible that a risky...Ch. 13 - Corporate Downsizing [LO1] In recent years, it has...Ch. 13 - Earnings and Stock Returns [LO1] As indicated by a...Ch. 13 - Determining Portfolio Weights [LO1] What are the...Ch. 13 - Portfolio Expected Return [LO1] You own a...Ch. 13 - Portfolio Expected Return [LO1] You own a...Ch. 13 - Prob. 4QPCh. 13 - Prob. 5QPCh. 13 - Prob. 6QPCh. 13 - Calculating Returns and Standard Deviations [LO1]...Ch. 13 - Calculating Expected Returns [LO1] A portfolio is...Ch. 13 - Returns and Variances [LO1] Consider the following...Ch. 13 - Returns and Standard Deviations [LO1] Consider the...Ch. 13 - Calculating Portfolio Betas [LO4] You own a stock...Ch. 13 - Calculating Portfolio Betas [LO4] You own a...Ch. 13 - Using CAPM[LO4] A stock has a beta of 1.15, the...Ch. 13 - Using CAPM[LO4] A stock has an expected return of...Ch. 13 - Using CAPM [LO4] A stock has an expected return of...Ch. 13 - Using CAPM [LO4] A stock has an expected return of...Ch. 13 - Using the SML[LO4] Asset W has an expected return...Ch. 13 - Reward-to-Risk Ratios [LO4] Stock Y has a beta of...Ch. 13 - Reward-to-Risk Ratios [LO4] In the previous...Ch. 13 - Using CAPM [LO4] A stock has a beta of 1.14 and an...Ch. 13 - Portfolio Returns [LO2] Using information from the...Ch. 13 - Prob. 22QPCh. 13 - Portfolio Returns and Deviations [LO2] Consider...Ch. 13 - Analyzing a Portfolio [LO2, 4] You want to create...Ch. 13 - Analyzing a Portfolio [LO2, 4] You have 100,000 to...Ch. 13 - Systematic versus Unsystematic Risk [LO3] Consider...Ch. 13 - SML [LO4] Suppose you observe the following...Ch. 13 - SML [LO4] Suppose you observe the following...Ch. 13 - Prob. 1MCh. 13 - Beta is often estimated by linear regression. A...Ch. 13 - Prob. 3MCh. 13 - Prob. 4MCh. 13 - Prob. 5M
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- 5) Two firms have 0.75 difference in their beta and 5% difference in their expected return, what is the implied price of beta, risk free rate and market return?arrow_forward10. An announcement that the prices of goods and services in the market are risking would cause an increase in which of the following? O a. The default risk premium O o The risk free rate ) r The liquidity risk premium O o The inflation risk premiumarrow_forwardSuppose you observe the following situation: Security Beta Expected Return Peat Company 1.70 13.60 Re - Peat Company 0.85 10.80 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? What is the risk - free rate?arrow_forward
- Suppose you observed the following situation: Security Beta Expected Return Cooley, Inc. 1.6 19% Moyer Co. 1.2 16% What would the risk-free rate have to be if these securities are correctly priced?arrow_forward34 If the firm’s beta is 1.75, the risk-free rate is 8%, and the average return on the market is 12%, what will be the firm’s cost of equity using the CAPM approach? Group of answer choices 15.00% 16.05% 14.27% 14.00%arrow_forwardSecurity A, standard deviation = 25% beta = 1.5 Security B, standard deviation = 40% beta = 1/3 If both securities have the same return, which should I invest in? Explain using knowledge of Capital Asset Pricing Modelarrow_forward
- q5 (5.2) (Hint: Real this question carefully.) A share has a beta of 1.6. The risk-free rate of return is 2.2% and the expected return on the market is 10.7%. What is the expected return on the share? a. 12.90% b. 19.91% c. 15.80% d. 19.32%arrow_forwardA4 5a Consider the following information on three stocks in four possible future states of the economy: Rate of return if state occurs State of economy Probability of state of economy Stock A Stock B Stock C Boom 0.3 0.35 0.45 0.38 Good 0.3 0.15 0.20 0.12 Poor 0.3 0.05 –0.10 –0.05 Bust 0.1 0.00 –0.30 –0.10 a. Your portfolio is invested 30% in A, 50% in B, and 20% in C. What is the expected return of your portfolio?arrow_forwardA2) The risk-free rate of return is 2.8 percent, the inflation rate is 3.1 percent, and the market risk premium is 5.9 percent. What is the expected rate of return on a stock with a beta of 0.58?arrow_forward
- 9. Your personal opinion is that security x has an expected rate of return of .11. It has a beta of 1.5. The risk free rate is .05 and the market expected rate of return is .09. According to the Capital Asset Pricing Model, thiss security is a. underpriced. b. overpriced. c. fairly priced. d. can't be determined from data e. none of these.arrow_forward7. Portfolio Risk and Return. Suppose that the S&P 500, with a beta of 1.0, has an expected return of 10% and T-bills provide a risk-free return of 4%. (LO12-1) How would you construct a portfolio from these two assets with an expected return of 8%? Specifically, what will be the weights in the S&P 500 versus T-bills? How would you construct a portfolio from these two assets with a beta of .4? Find the risk premiums of the portfolios in parts (a) and (b), and show that they are proportional to their betas.arrow_forwardA4 a. Suppose we have two risky assets, Stock I and Stock J, and a risk-free asset. Stock I has an expected return of 25% and a beta of 1.5. Stock J has an expected return of 20% and a beta of 0.8. The risk-free asset’s return is 5%. a. Calculate the expected returns and betas on portfolios with x% invested in Stock I and the rest invested in the risk-free asset, where x% = 0%, 50%, 100%, and 150%.arrow_forward
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