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10 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate

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10 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 5.5%. The probability distribution of the risky funds is as follows: 10 points Expected Return Standard Deviation Stock fund (S) Bond fund (B) 15% 9% 32% 23% The correlation between the fund returns is 0.15. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky, or "tangency", portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Portfolio invested in the stock 64.66 % Portfolio invested in the bond 35.34 % Expected return 12.88 % Standard deviation 22.31 %

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