A pension fund manager is con- sidering three mutual funds. The first is a stock fund, the second is a long-term govern- ment 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
Stock fund (S) 20% Bond fund (B) 12
The correlation between the fund returns is .10.
Standard Deviation
30% 15
You require that your portfolio yield an expected return of 14%, and that it be efficient, on the best feasible CAL.
What is the standard deviation of your portfolio?
What is the proportion invested in the T-bill fund and each of the two risky funds?
A pension fund manager is con- sidering three mutual funds. The first is a stock fund, the second is a long-term govern- ment 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
Stock fund (S) 20% Bond fund (B) 12
The correlation between the fund returns is .10.
Standard Deviation
30% 15
You require that your portfolio yield an expected return of 14%, and that it be efficient, on the best feasible CAL.
What is the standard deviation of your portfolio?
What is the proportion invested in the T-bill fund and each of the two risky funds?
Related questions
| 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 5.8%. The probability distributions of the risky funds are: |
| Expected Return | Standard Deviation | |||
| Stock fund (S) | 19 | % | 48 | % |
| Bond fund (B) | 9 | % | 42 | % |
| The correlation between the fund returns is .0762. |
| Suppose now that your portfolio must yield an expected return of 17% 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 | % |
References
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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 4.8%. The probability distribution of the risky funds is as follows:
| Expected Return | Standard Deviation | |
| Stock fund (S) | 18% | 38% |
| Bond fund (B) | 9 | 32 |
The correlation between the fund returns is 0.14.
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 and round your final answers to 2 decimal places. Omit the "%" sign in your response.)
| Portfolio invested in the stock | % |
| Portfolio invested in the bond | % |
| Expected return | % |
| Standard deviation | % |
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 5.0%. The probability distribution of the risky funds is as follows:
| Expected Return | Standard Deviation | |
| Stock fund (S) | 11% | 40% |
| Bond fund (B) | 6 | 20 |
The correlation between the fund returns is 0.16.
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 and round your final answers to 2 decimal places. Omit the "%" sign in your response.)
| Portfolio invested in the stock | % |
| Portfolio invested in the bond | % |
| Expected return | % |
| Standard deviation | % |
