A pension fund manager is considering three investment options. The first is a stock fund, the second is a corporate bond fund, and the third is a T-bill money market fund (the risk-free asset) 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.

a. What is the portfolio weight for the stock fund in the minimum-risk portfolio?

b.What is the portfolio weight for the stock fund in the optimal risky portfolio?

c. What is the standard deviation of the optimal risky portfolio?

d.What is the Sharpe ratio for the best feasible CAL?

e.Suppose now that you have a risk aversion coefficient A=3 and want to construct a complete portfolio on the best feasible CAL.

f. For the complete portfolio you derived part e, what is the standard deviation of the complete portfolio?

g. For the complete portfolio you derived in part e, what is the proportion invested in the stock fund?