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Expected Return: Discrete Distribution The market and Stock J have the following

ID: 2612501 • Letter: E

Question

Expected Return: Discrete Distribution

The market and Stock J have the following probability distributions:

Calculate the expected rate of return for the market. Round your answer to two decimal places.
%

Calculate the expected rate of return for Stock J. Round your answer to two decimal places.
%

Calculate the standard deviation for the market. Round your answer to two decimal places.
%

Calculate the standard deviation for Stock J. Round your answer to two decimal places.
%

Probability rM rJ 0.3 13% 20% 0.4 8 7 0.3 17 12

Explanation / Answer

Expected return on market = 0.3*13%+0.4*8%+0.3*17% = 12.2%

Expected return on stock J = 0.3*20%+0.4*7%+0.3*12% = 12.4%

Standard deviation for market return = [0.3*(0.122-0.13)^2+0.4*(0.122-0.08)^2+0.3*(0.122-0.17)^2]^(1÷2) = 3.76%

Standard deviation for Stock J return = [0.3*(0.124-0.20)^2+0.4*(0.124-0.07)^2+0.3*(0.124-0.12)^2]^(1÷2) = 5.39%

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