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)	21%	36%
Bond fund (B)	13	22

The correlation between the fund returns is 0.13.

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