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 5.0%. The probability distributions of the risky funds are:
Expected Return Standard Deviation
Stock fund (S) 11 % 40 %
Bond fund (B) 6 % 20 %
The correlation between the fund returns is .0500.
Suppose now that your portfolio must yield an expected return of 9% 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 %