Question

Stock A has an expected return of 10% and a standard deviation of 20%. Stock B has an expected return of 13% and a standard deviation of 30%. The risk-free rate is 5% and the market risk premium, rM- rRF, is 6%. Assume that the market is in equilibrium. Portfolio AB has 50% invested in Stock A and 50% invested in Stock B. The returns of Stock A and Stock B are independent of one another, i.e., the correlation coefficient between them is zero. Which of the following statements is CORRECT? a. Portfolio AB's required return is 11%. b. Portfolio AB's standard deviation is 25%. c. Stock A's beta is 0.8333. d. Stock B's beta is 1.0000. e. Since the two stocks have zero correlation, Portfolio AB is riskless.

Answer 1

Answer:

Expected Portfolio return = 0.5(10)+0.5(13)= 5+6.5=11.5%

Expected Portfolio SD= 0.5(20)+0.5(30)= 25%

Beta of A, 10= 5+B(6)

5=6B

B= 5/6= 0.833

B of B, 13=5+B(6)

8=6B

B=8/6

B=1.33

b. Portfolio AB's standard deviation is 25%

c. Stock A's beta is 0.8333

These two statements are correct

Explanation: