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 4.6%. The probability distributions of the risky funds are:

Expected Return Standard Deviation Stock fund (S) 16 % 36 % Bond fund (B) 7 % 30 %

The correlation between the fund returns is .0800.

Suppose now that your portfolio must yield an expected return of 14% 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?