# Standard deviation and expected return

Stocks A and B both have an expected return of 10% and a standard deviation of returns of 25%. Stock A has a beta of 0.8 and Stock B has a beta of 1.2. The correlation coefficient, r, between the two stocks is 0.6. Portfolio P is a portfolio with 50% invested in Stock A and 50% invested in B. Which of the following statements is CORRECT?

a. Portfolio P has a standard deviation of 25% and a beta of 1.0.

b. Based on the information we are given, and assuming those are the views of the marginal investor, it is apparent that the two stocks are in equilibrium.

c. Portfolio P has more market risk than Stock A but less market risk than Stock B.

Stock A should have a higher expected return than Stock B as viewed by the marginal investor.

e. Portfolio P has a coefficient of variation equal to 2.5.

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#### Solution Preview

Stocks A and B both have an expected return of 10% and a standard deviation of returns of 25%. Stock A has a beta of 0.8 and Stock B has a beta of 1.2. The correlation coefficient, r, between the two stocks is 0.6. Portfolio P is a portfolio with 50% invested in Stock A and 50% invested in B. Which of the following statements is CORRECT?

a. Portfolio P has a standard deviation of 25% and a beta of 1.0.

b. ...

#### Solution Summary

Answers a multiple choice question on standard deviation and expected return of stocks and portfolio.