Question
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,
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 risk-free rate of 4.0%. The probability distributions of the risky funds are:
| Expected Return | Standard Deviation |
Stock fund (S) | 11% | 16% |
Bond fund (B) | 6.5% | 11.5% |
The correlation between the fund returns is 0.25.
The investment proportions for each fund in the optimal risky portfolio are WS = .7273 WB=.2727.
*8. What is the expected return of the optimal risky portfolio?
9.77%
12.79%
19.37%
24.57%
*9. What is the standard deviation of the optimal risky portfolio?
9.77%
12.79%
19.37%
24.57%
*10. What is the reward-to-variability ratio of the best feasible CAL?
.4221
.4336
.4511
.7639
*11. You require that your portfolio yield an expected return of 9%, and that it be efficient on the best feasible CAL. What is the standard deviation of your portfolio?
10.99%
11.31%
14.22%
18.95%
*12. If no risk-free asset is available, what is the standard deviation of the best possible portfolio (i.e., using only stocks and bonds) with an expected return of 9%?
10.99%
11.31%
14.22%
18.95%
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