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 5.0%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 11% 40% Bond fund (B) 6 20 The correlation between the fund returns is 0.16. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.