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) Expected Return 17% Standard Deviation 38% 11% 29% The correlation between the fund returns is 0.25. 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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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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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:
Stock fund (S)
Bond fund (B)
Expected Return Standard Deviation
17%
38%
11%
29%
The correlation between the fund returns is 0.25.
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
%
%
%
%
Transcribed Image Text:! Required information [The following information applies to the questions displayed below.] 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) Expected Return Standard Deviation 17% 38% 11% 29% The correlation between the fund returns is 0.25. 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 % % % %
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