Assume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Assume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return?

• Plot the CML and locate the foregoing portfolios on the same graph.

• Plot the SML and locate the foregoing portfolios on the same graph.

Expert Solution
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The expected return is the profit margin or loss that an investment may anticipate by the investor. The formula to calculate the expected return(ER) is :

ER = weight of risk free asset×risk-free return + weight of risky asset ×market return

The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The formula to calculate the standard deviation (SD) is :

SD= weight of the risky stock× standard deviation of risky

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