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(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 15% 9% Standard Deviation 36% 27% The correlation between the fund returns is 0.15. Problem 6-8 (Algo) Required: What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) 11.02% Expected return Standard deviation 23.08% 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 67.06% 32.94 % 13.02 % 26.95 Required: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Sharpe ratio 0.2792 Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL. Required: a. What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Standard deviation % b-1. What is the proportion invested in the T-bill fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Proportion invested in the T-bill fund % b-2. What is the proportion invested in each of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Stocks Bonds Proportion Invested % %