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) 20% 30% Bond fund (b) 12 15 The correlation between the fund returns is .10. What are the investment proportions in the minimum-variance portfolio of the two risky funds, and what is the expected value and standard deviation of its rate of return?

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ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
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Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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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) 20% 30%
Bond fund (b) 12 15

The correlation between the fund returns is .10.
 What are the investment proportions in the minimum-variance portfolio of the two risky funds, and what is the expected value and standard deviation of its rate of return?

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