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Expected Return and Standard Deviation: Stocks

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Suppose the expected returns and standard deviations of stocks A and B are E(R^A)=0.15, E(r^B)=0.25, s^a=0.1, and s^b=0.2, respectively.

a.Calculate the expested return and standard deviation portfolio that is composed of 40 percent A and 60 percent B when the correlation between returns on A and B is 0.5.

b. Calculate the standard deviation of a portfolio that is composed of 40 percent A and 60 percent B when the correlation coefficient between the returns on A and B is -0.5.

c. How does the correlation between the returns on A and B affect the standard deviation of the portfolio?

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Solution Preview

Suppose the expected returns and standard deviations of stocks A and B are E(R^A)=0.15, E(r^B)=0.25, s^a=0.1, and s^b=0.2,respectively.

a.Calculate the expested return and standard deviation portfolio that is composed of 40 percent A and 60 percent B when the correlation between returns on A and B is 0.5.
Expected return = Weight of stock A*expected return on ...

Solution Summary

Calculate the standard deviation of a portfolio in this post.

$2.19
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Week 6 - Problem 1

10.6 Suppose the expected returns and standard deviations of stocks A and B are E(RA) = 0.17, E(RB) = 0.27, StdDevA = 0.12, and StdDevB = 0.21, respectively.

a. Calculate the expected return and standard deviation of a portfolio that is composed of 35 percent A and 65 percent B when the correlation between the returns on A and B is 0.6.

b. Calculate the standard deviation of a portfolio that is composed of 35 percent A and 65 percent B when the correlation coefficient between the returns on A and B is -0.6.

c. How does the correlation between the returns on A and B affect the standard deviation of the portfolio?

Week 6 - problem 2

Suppose the expected return on the market portfolio is 14.7 percent and the risk-free rate is 4.9 percent. Morrow Inc.stock has a beta of 1.3 . Assume the capital-asset-pricing model holds.

a. What is the expected return on Morrow's stock?

b. If the risk-free rate decreases to 4 percent, what is the expected return on Morrow's stock?

Week 6 - Problem 3

A portfolio that combines the risk-free asset and the market portfolio has an expected return of 22 percent and a standard deviation of 5 percent. The risk-free rate is 4.9 percent, and the expected return on the market portfolio is 19 percent. Assume the capital-asset-pricing model holds.

What expected rate of return would a security earn if it had a 0.6 correlation with the market portfolio and a standard deviation of 3 percent?

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