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 238 Standard Deviation 298 Stock fund (S) Bond fund (B) 14 17 The correlation between the fund returns is 0.12. 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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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
is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:
Standard Deviation
Expected Return
23%
Stock fund (S)
29%
Bond fund (B)
14
17
The correlation between the fund returns is 0.12.
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 are the expected value and standard deviation of the minimum-variance portfolio rate of return? (Do not round intermediate
calculations. Enter your answers as decimals rounded to 4 places.)
Rate of Return
Expected return
Standard deviation
Transcribed Image Text: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: Standard Deviation Expected Return 23% Stock fund (S) 29% Bond fund (B) 14 17 The correlation between the fund returns is 0.12. 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 are the expected value and standard deviation of the minimum-variance portfolio 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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