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20 June, 05:17

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%.

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  1. 20 June, 05:34
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    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%.
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