6. A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market funds that provides a safe return of 4%. The characteristics of the risky funds are as follows. Stock Fund: Ret. (14%), Std. Dev (20%) Bond Fund: Ret (8%), Std. Dev (11%), Correlation 0.3 a. What are the investment proportions in the minimum variance portfolio of the two risky funds, and what are the expected value and standard deviation of its rate of return. b. Solve numerically for the proportions of each asset and for the expected return and the standard deviation of the optimal risky portfolio. c. You require that your portfolio yield and expected return of 10%, and that it be efficient, that is, on the steepest feasible CAL. What is the standard deviation of your portfolio? What is the proportion invested in the money market fund and in each of the two risky assets A B D E F G H | K Ret Std.Dev Prem 14% 8% Var 20% 11% 0.3 Cov 0.04 corr 0.0121 Rf 2 3 Stock 4 Bond 5 6 7 8 Stock 9 Bond 10 vn - Weight Min Var Portfolio 11 Min Var Portfolio 12 Ret 13 Std.dev 14 15 16 O Weight Optimal Portfolio 17 18 Stock 19 Bond 20 Numerator Denominator W_b W_S 21 Optimal Portfolio 22 Ret 23 Std.dev 24 25 26 Bonus 27 28 Slope CAL 29 30 Std. Dev Portfolio 31 32 33 Weight in risky 34 Weigth rf 35 36 Stocks in complete 37 bonds in complete