A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.30. Expected Return Standard Deviation 178 32% 118 23% Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation % % % %

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government
and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability
distributions of the risky funds are:
Expected Return
17%
11%
Stock fund (S)
Bond fund (B)
The correlation between the fund returns is 0.30.
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation
Required:
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky
portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.)
%
Standard Deviation
32%
23%
%
%
Transcribed Image Text:A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Expected Return 17% 11% Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.30. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) % Standard Deviation 32% 23% % %
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