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	%	32	%
Bond fund (B)	9	%	23	%

The correlation between the fund returns is 0.15.

a-1.	Calculate the expected return.

Expected return

%

a-2.	What would be the investment proportions of your portfolio?

	Investment Proportions
Stocks	%
Bonds	%

b.	Calculate the standard 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

%