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%	36%
Bond fund (B)	9%	27%

The correlation between the fund returns is 0.15.

Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio:

1. Portfolio invested in the stock (%)

2. Portfolio invested in the bond (%)

3. Expected Return (%)

4. Standard Deviation (%)