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 22QP
Summary Introduction
To determine: That the ratios of betas’ are equal to the ratios of risk premiums of the two assets.
Introduction:
Expected return is the return that the investors expect on a risky investment in the future.
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Consider the following financial market with two
risky assets x and y as well as a risk-free asset f:
E[r].
x (10%, 8%)
•z (6.6%, 6.3%)
y (8%, 5%)
(0%, 3%) f
Is it possible to construct portfolio z with existing
assets? Explain.
1) Let us start with what is the difference between a real and a financial asset?
2) What is the risk-return tradeoff?
What is the Capital Asset Pricing Model (CAPM)? Derive the risk premium when beta is between 0 and 1. Interpret your result.
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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- D4)arrow_forwardUsing the SML [LO4] Asset W has an expected return of 11.8 percent and a beta of 1.15. If the risk-free rate is 3.7 percent, complete the following table for portfolios of Asset W and a risk-free asset. Illustrate the relationship between portfolio expected return and portfolio beta by plotting the expected returns against the betas. What is the slope of the line that results? Percentage of Portfolio in Asset W 0% 25 50 75 100 125 150 Portfolio Expected Return Portfolio Betaarrow_forwardH2. What are the different types of expected return and related risk, for individual assets and for portfolios as a whole. Explain carefully what each type represents and give examples in each case. What type of expected returns does the CAPM model capture? What type of expected return and risk you are exposed to if you have the FTSE 100 INDEX only in the portfolio?arrow_forward
- Can someone give an example or scenario about the following: 1. Capital Asset Pricing Model2. Market Risk premium3. Risk free rate4. Security market line5. Systematic riskarrow_forwardThe beta of the risk-free asset is: 0.5 1.0 -1.0 2.0arrow_forward4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.arrow_forward
- (b) Derive the risk neutral expectation formula for the price of a derivative in the three-step binomial model D3 Ebin |(1 + r)³] Doarrow_forwardSuppose you observe the following situation:Security Beta Expected ReturnDiamond Co 1.3 0.2Spade Co 0.8 0.14 (a) According to the above information, could we figure out the market return and risk-free rate? Explain your answer. (b) Discuss the possibility of including zero beta or negative beta assets in your portfolio. Explain the pros and cons of including these types of assets.arrow_forwardThe slope of the Security Market Line equals to ____, and the slope of Capital Allocation Line equals to____. Select one: A. Beta; Sharpe Ratio B. Market Risk Premium; Sharpe Ratio C. Risk free rate; Volatility D. Market Risk Premium; Volatilityarrow_forward
- Define the real risk-free rate (r*). What security canbe used as an estimate of r*? What is the nominalrisk-free rate (rRF)? What securities can be used asestimates of rRF?arrow_forwardQ.Why we can make money more than the risk-premium under the CAPM from this strategy (zero-cost HML portfolio), given the value effectarrow_forwardExpected returnarrow_forward
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