You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. What is the portfolio P’s beta? Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?

You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. What is the portfolio P’s beta? Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 13P

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Similar questions

Security 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?
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You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. What is the portfolio P’s beta?
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You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20% 18% 32% The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5. Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?
Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.
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