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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 bond fund, and the third

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) 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?

Portfolio invested in the stock:

Portfolio invested in the bond:

What are the expected value and standard deviation of its rate of return?

Expected return:

Standard deviation:

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