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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Chapter 13, Problem 20QP
Using
a. What is the expected return on a portfolio that is equally invested in the two assets?
b. If a portfolio of the two assets has a beta of .92, what are the portfolio weights?
c. If a portfolio of the two assets has an expected return of 9 percent, what is its beta?
d. If a portfolio of the two assets has a beta of 2.28, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Explain.
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Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT?
1.
b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%.
2.
d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%.
3.
e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%.
4.
a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%.
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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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- You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. a. What are the betas of Stocks X and Y? b. What are the required rates of return on Stocks X and Y? c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?arrow_forwardAn Equity has a beta of 0.9 and an expected return of 9%. A risk free asset currently earns 2%. i.) What is the expected return on a portfolio that is equally invested in two assets? ii.) If a portfolio of the two assets has an expected return of 6%, what is its beta? iii.) If a portfolio of the two assets has a beta of 1.5, what is its weight ? Iv.) If a portfolio of the two assets has a beta of 1.5, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Explain.arrow_forward18. Optimal Sharpe Portfolio Value-at-Risk (LO3, CFA6) You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 15 percent, respectively. The standard deviations of the assets are 29 percent and 48 percent, respectively. The correlation between the two assets is .25 and the risk-free rate is 5 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent?arrow_forward
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