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Expected Return: Discrete Distribution The market and Stock J have the following probability distributions: Probability r M r J 0.3 16% 20% 0.4 9 7

Expected Return: Discrete Distribution

The market and Stock J have the following probability distributions:

Probability rM rJ
0.3 16% 20%
0.4 9 7
0.3 19 13

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

c. Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places. % e. Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places. %

Portfolio Required Return

Suppose you manage a $5.045 million fund that consists of four stocks with the following investments:

Stock Investment Beta
A $440,000 1.50
B 625,000 -0.50
C 1,380,000 1.25
D 2,600,000 0.75

If the market's required rate of return is 9% and the risk-free rate is 7%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places.

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