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 on stock fund 15%

Standard Deviation on Stock fund 32%

Expected Return on Bond fund 9%

Standard Deviation on Bond fund 23%

The correlation between the fund returns is 0.15.

a.What would be the investment proportions of your portfolio if you were limited to only the stock and bond funds and the portfolio has to yield an expected return of 12%?

investment proportions on stock:_________________

investment proportions on Bonds:________________

b.Calculate thestandard deviation of the portfolio which yields an expected return of 12%.(Do not round intermediate calculations. Round your answer to 2 decimal places.)

standard deviation:__________________