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 4.4%.
The probability distributions of the risky funds are:
Expected Return Standard Deviation Stock fund (S) 14 % 34 % Bond fund (B) 5 % 28 % The correlation between the fund returns is .0214.
Suppose now that your portfolio must yield an expected return of 13% 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 %