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 sure rate of 5.5%. The probability distributions of the
risky funds are:
| Expected Return | Standard Deviation |
Stock fund (S) | 15% | 32% |
Bond fund (B) | 9 | 23 |
The correlation between the fund returns is 0.15.
What is the Sharpe ratio of the best feasible CAL?
#first find the weights (Ws, Wb) for the stocks and bonds
#then after the weights for the optimal portfolio (i.e. highest Sharpe ratio/steepest part of CAL) use Rule two to find the expected return of the portfolio and rule 3 to find std. Dev.
then find the sharpe ratio of these values to get the optimal risky portfolio (Steepest CAL tangent with the investment opp. Set).
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