$15$ 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 $7\%.$ The characteristics of the risky funds are as follows:

The correlation between the fund returns is $0\mathrm{.}12.$

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

Note: Do not round intermediate calculations. Enter your answers as decimals rounded to $4$ places. You can find the answer using

the formula or using Excel Solver. If you are using Excel Solver make sure to multiply the objective function by a large number

such as $1,000,000$ to ensure $4-$decimals precision in Excel.