Question

Your portfolio consists of $50,000 invested in Stock X and $50,000 invested in Stock Y. Both stocks have return of 15%, betas of 1.6, and standard deviations of 30%-The returns ofthe two stocks are independent correlation coefficient between them, xy, is zero. Which of the following statements best describes the cl your 2-stock portfolio?
A) Your portfolio has a beta greater than 1.6, and its expected return is greater than 15%
B) Your portfolio has a beta equal to 1.6, and its expected return is 15%
C) Your portfolio has a standard deviation greater than 30% and a beta equal to 1.6.
D) Your portfolio has a standard deviation less than 30%, and its beta is greater than 1.6
E) Your portfolio has a standard deviation of 30%, and its expected return is 15%.

Answer 1

Answer:

B) Your portfolio has a beta equal to 1.6, and its expected return is 15%

Explanation:

Since the correlation coefficient between both stocks X and Y is zero, when one stock has an expected return a little higher than 15%, the other stock will have an expected return a little lower than 15%, so both variations basically cancel out each other. So the average expected return for both X and Y will be 15%.