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 8%. The probability distribution of the risky funds is as follows:

Expected Return Standard Deviation Stock fund (S) 23% 28%

Bond fund (B) 15 17

The correlation between the fund returns is 0.12.

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.)

Portfolio invested in the stock =?

Portfolio invested in the bond =?

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

Rate of Return

Expected return =?

Standard deviation = ?