Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Your friend is considering adding one additional stock to a 3-stock portfolio, t

ID: 2659837 • Letter: Y

Question

Your friend is considering adding one additional stock to a 3-stock portfolio, to form a 4-stock portfolio. She is highly risk averse and has asked for your advice. The three stocks currently held all have b = 1.0, and they are perfectly positively correlated with the market. Potential new Stocks A and B both have expected returns of 15%, are in equilibrium, and are equally correlated with the market, with r = 0.75. However, Stock A's standard deviation of returns is 12% versus 8% for Stock B. Which stock should this investor add to his or her portfolio, or does the choice not matter?

a. Stock A.

b. Stock B.

c. Neither A nor B, as neither has a return sufficient to compensate for risk.

d. Add A, since its beta must be lower.

e. Either A or B, i.e., the investor should be indifferent between the two.

Explanation / Answer

b. Stock B.