EBK FUNDAMENTALS OF CORPORATE FINANCE
11th Edition
ISBN: 8220102801356
Author: Ross
Publisher: YUZU
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Textbook Question
Chapter 13, Problem 12QP
Calculating Portfolio Betas [LO4] You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.32 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio?
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7. 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?
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Find the risk premiums of the portfolios in parts (a) and (b), and show that they are proportional to their betas.
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Critically explain the risk premium of a zero-beta stock. Does this mean you can lower the volatility of a portfolio without changing the expected return by substituting out any zero-beta stock in a portfolio and replacing it with the risk-free asset?
1. What must be the beta of a portfolio with E(rP) = 13.5%, if rf = 3% and E(rM) = 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
2. The market price of a security is $90. Its expected rate of return is 12%. The risk-free rate is 6% and the market risk premium is 9.6%. What will be the market price of the security if its correlation coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Chapter 13 Solutions
EBK 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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- 1. We would generally find that the beta of a single security is more stable over time than the beta of the market portfolio. True False 2. Cooley Company's stock has a beta of 1.40, the risk-free rate is 25%, and the market risk premium is 5.50%. What is the firm's required rate of return? A. 12.95 B. 6.00 C. 7.70 D. 11.95 E. 10.95 3. If an investor buys enough stocks, he or she can, through diversification, eliminate all of the unique risk inherent in owning stocks, but as a general rule it will not be possible to eliminate all systemic risk. True Falsearrow_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_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_forward
- 2. Expected return on two stocks for two particular market returns: Market Return Aggressive Stock Defensive Stock 4% 2% 8% 20% 30% 16% a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the market return is 40% likely to be 4% and 60% likely to be 20%? c. If the T-bill rate is 3% and the market return is 40% likely to be 4% and 60% likely to be 20%, draw the SML for this economy. d. Between aggressive and defensive stocks, which one is undervalued, which is overvalued, and why?arrow_forwardStock Y has a beta of 1.2. An expected return of 11.4%. Stock Z has a beta of .8 and an expected return of 8%. If the risk free rate is 2.5% and the market risk premium is 7%, are these stocks priced correctly? If not, what should the correct prices be? pls type in computer. Thanksarrow_forwardA4 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).arrow_forward
- 39) Suppose the beta estimated from the CAPM for stock A is 2.3 and stock B is 1.1. Which of the following is true? According to the CAPM, the required rate of return of stock B is higher The beta of the equally weighted portfolio of stock A and B is 1.6 According to the CAPM, stock A has a higher idiosyncratic risk None of the abovearrow_forwardQuestion: You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.27 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio?arrow_forward3.1 Problem 3: You have access to two investment opportunities. Mutual Fund A, which promises 20% expected return with a variance of 0.36, and Mutual Fund B, which promises 15% expected return with a variance 0f 0.12. The covariance between the two is 0.084. Suppose that you seek to construct a portfolio with an expected return equal to 18%. What proportions of your wealth should you invest in A and B? What is the standard deviation of such portfolio?arrow_forward
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Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License