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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) 20 % 35 %
Bond fund (B) 11 15

The correlation between the fund returns is 0.09. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds?

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) 20 % 35 %
Bond fund (B) 11 15

The correlation between the fund returns is 0.09. 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

a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return?

Rate of Return
Expected return
Standard deviation

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