A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long$-$term bond fund, and the third is a money market fund that provides a safe return of $8\%.$ The characteristics of the risky funds are as follows:

Expected Return Standard Deviation

Stock fund $($S$)19\%34\%$

Bond fund $($B$)1018$

The correlation between the fund returns is $0\mathrm{.}11.$

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