In: Finance
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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 sure rate of 4.3%. The probability distributions of the risky funds are: |
| Expected Return | Standard Deviation | |||
| Stock fund (S) | 13 | % | 34 | % |
| Bond fund (B) | 6 | % | 27 | % |
| The correlation between the fund returns is .0630. |
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Suppose now that your portfolio must yield an expected return of 11% and be efficient, that is, on the best feasible CAL. |
| a. |
What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
| Standard deviation | % |
| b-1. |
What is the proportion invested in the T-bill fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
| Proportion invested in the T-bill fund | % |
| b-2. |
What is the proportion invested in each of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) |
| Proportion Invested | |
| Stocks | % |
| Bonds | % |