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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 $5\mathrm{.}5\%.$

The probability distributions of the risky funds are:

The correlation between the fund returns is $0\mathrm{.}15.$

Required:

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 $12\%?$

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.$)$