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 9%. The probability distribution of the risky funds s as follows: Stock fund (S) Bond fund (B) Expected Return 19% 12 Standard Deviation Dortfolio in ated in the pink 32% 15 The correlation between the fund returns is 0.11. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
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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 9%. The probability distribution of the risky funds
is as follows:
Stock fund (S)
Bond fund (B)
Expected
Return
19%
12
Standard
Deviation
32%
15
The correlation between the fund returns is 0.11.
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
(Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
Transcribed Image Text: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 9%. The probability distribution of the risky funds is as follows: Stock fund (S) Bond fund (B) Expected Return 19% 12 Standard Deviation 32% 15 The correlation between the fund returns is 0.11. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
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