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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) 22% 38%
Bond fund (B) 12 16
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.)
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 - ?
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