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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,

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 rate of 5.8%. The probability distribution of the risky funds is as follows:

Expected Return Standard Deviation
Stock fund (S) 19% 48%
Bond fund (B) 9 42

The correlation between the fund returns is 0.18. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.

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