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 Standard Stock fund (8) Return Deviation 20% 30% 12 15 Bond fund (B) The correlation between the fund returns is 0.10. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Portfolio invested in the stock Portfolio invested in the bond i Expected return Standard deviation

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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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:
Expected Standard
Stock fund (S)
Return Deviation
20%
30%
12
Bond fund (B)
15
The correlation between the fund returns is 0.10.
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
Portfolio invested in the stock
Portfolio invested in the bond
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: Expected Standard Stock fund (S) Return Deviation 20% 30% 12 Bond fund (B) 15 The correlation between the fund returns is 0.10. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation
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