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 fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 20 % 30 % Bond fund (B) 12 15 The correlation between the fund returns is 0.10.

a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

a-2. What is the expected value and standard deviation of the minimum-variance portfolio rate of return? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)