CORPORATE FINANCE >C<
11th Edition
ISBN: 9781308875637
Author: Ross
Publisher: MCG/CREATE
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Chapter 11, Problem 17QP
Summary Introduction
To determine: The Portfolio Expected Returns, Portfolio Beta and Slope of SML.
Introduction: Security Market Line (SML) is a image demonstration of CAPM (
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You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:Portfolio Expected Return Standard DeviationQ 7.8% 10.5%R 10.0 14.0S 4.6 5.0T 11.7 18.5U 6.2 7.5a. For each portfolio, calculate the risk premium per unit of risk that you expect to receive ([E(R) − RFR]/σ). Assume that the risk-free rate is 3.0 percent.b. Using your computations in Part a, explain which of these five portfolios is most likely tobe the market portfolio. Use your calculations to draw the capital market line (CML).c. If you are only willing to make an investment with σ = 7.0%, is it possible for you toearn a return of 7.0 percent?d. What is the minimum level of risk that would be necessary for an investment to earn7.0 percent? What is the composition of the portfolio along the CML that will generatethat expected return?e. Suppose you are now willing to make an investment…
You are faced with two portfolios which you have been asked to rank in terms of selectivity. You have the following information:
Risk-free rate is 4%
Return on the market portfolio is 8%
Return on portfolio A is 17%
Return on portfolio B is 16%
Actual beta of Portfolio A is 1.2, while target beta is 1
Actual beta of Portfolio B 1.0, while target beta is 0.9
Standard deviation of Portfolio A is 17%
Standard deviation of Portfolio B 15%
Standard deviation of the market portfolio is 7%
Using Fama Decomposition, calculate the following for each portfolio:
a) Return from Investor's risk
b) Return from Manager's risk
c) Return from Diversification
d) Return from Net Selectivity
e) Rank the performance of both portfolios based on return from selectivity and comment on your results
A portfolio consists of 70% of investment A and 30% of investment B. The expected returnon investment A is 7% and the expected return on investment B is 9%. The standarddeviation of returns of investment A is 2.19%. The standard deviation of returns ofinvestment B is 4.1%. The correlation coefficient of the returns of investment A andinvestment B=+1. Finda. the expected return from the portfoliob. the standard deviation (risk) of the returns from the portfolio
Chapter 11 Solutions
CORPORATE FINANCE >C<
Ch. 11 - Diversifiable and Nondiversifiable Risks In broad...Ch. 11 - Systematic versus Unsystematic Risk Classify the...Ch. 11 - Expected Portfolio Returns If a portfolio has a...Ch. 11 - Diversification True or false: The most important...Ch. 11 - Portfolio Risk If a portfolio has a positive...Ch. 11 - Beta and CAPM Is it possible that a risky asset...Ch. 11 - Covariance Briefly explain why the covariance of a...Ch. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Determining Portfolio Weights What are the...Ch. 11 - Portfolio Expected Return You own a portfolio that...Ch. 11 - Portfolio Expected Return You own a portfolio that...Ch. 11 - Portfolio Expected Return You have 10,000 to...Ch. 11 - Prob. 5QPCh. 11 - Calculating Returns and Standard Deviations Based...Ch. 11 - Calculating Expected Returns A portfolio is...Ch. 11 - Returns and Standard Deviations Consider the...Ch. 11 - Returns and Standard Deviations Consider the...Ch. 11 - Calculating Portfolio Betas You own a stock...Ch. 11 - Calculating Portfolio Betas You own a portfolio...Ch. 11 - Using CAPM A stock has a beta of 1.15, the...Ch. 11 - Using CAPM A stock has an expected return of 13.4...Ch. 11 - Using CAPM A stock has an expected return of 13.4...Ch. 11 - Using CAPM A stock has an expected return of 11.2...Ch. 11 - Prob. 16QPCh. 11 - Prob. 17QPCh. 11 - Reward-to-Risk Ratios Stock Y has a beta of 1.20...Ch. 11 - Prob. 19QPCh. 11 - Portfolio Returns Using information from the...Ch. 11 - Prob. 21QPCh. 11 - Portfolio Returns and Deviations Consider the...Ch. 11 - Analyzing a Portfolio You want to create a...Ch. 11 - Prob. 24QPCh. 11 - Prob. 25QPCh. 11 - Prob. 26QPCh. 11 - Prob. 27QPCh. 11 - Prob. 28QPCh. 11 - Correlation and Beta You have been provided the...Ch. 11 - CML The market portfolio has an expected return of...Ch. 11 - Beta and CAPM A portfolio that combines the...Ch. 11 - Beta and CAPM Suppose the risk-free rate is 4.7...Ch. 11 - Systematic versus Unsystematic Risk Consider the...Ch. 11 - SML Suppose you observe the following situation:...Ch. 11 - Prob. 35QPCh. 11 - Prob. 36QPCh. 11 - Prob. 37QPCh. 11 - Minimum Variance Portfolio Assume Stocks A and 8...Ch. 11 - Prob. 1MCCh. 11 - Prob. 2MC
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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%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?arrow_forwardTwo-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?arrow_forwardSecurity A has an expected rate of return of 6%, a standard deviation of returns of 30%, a correlation coefficient with the market of −0.25, and a beta coefficient of −0.5. Security B has an expected return of 11%, a standard deviation of returns of 10%, a correlation with the market of 0.75, and a beta coefficient of 0.5. Which security is more risky? Why?arrow_forward
- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?arrow_forwardExplain correlation to your client. Calculate the estimated correlation between Blandy and Gourmange. Does this explain why the portfolio standard deviation was less than Blandys standard deviation?arrow_forwardThe following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?arrow_forward
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