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 Bonds = ?
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.)
Expected Return = ?
Standard Deviation = ?
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