EXPECTED RETURNS Stocks X and Y have the following probability distributions of expected future returns: Probability X Y 0.1 (10%) (35%) 0.2 2 0 0.4 12 20 0.2 20 25 0.1 38 45 a.) Calculate the expected rate of return, ^rY, for Stock Y (^rX ¼ 12%). b.) Calculate the standard deviation of expected returns, X, for Stock X (Y ¼ 20.35%). Now calculate the coefficient of variation for Stock Y. Is it possible that most investors will regard Stock Y as being less risky than Stock X? Explain.

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Subject: Financial strategy & policy

8-6: EXPECTED RETURNS Stocks X and Y have the following probability distributions of expected future returns:

Probability X Y
0.1 (10%) (35%)
0.2 2 0
0.4 12 20
0.2 20 25
0.1 38 45

a.) Calculate the expected rate of return, ^rY, for Stock Y (^rX ¼ 12%).
b.) Calculate the standard deviation of expected returns, X, for Stock X (Y ¼ 20.35%). Now calculate the coefficient of variation for Stock Y. Is it possible that most investors will regard Stock Y as being less risky than Stock X? Explain.

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