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 $4\%.$ The characteristics of the risky funds are as follows:

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

You require that your portfolio yield an expected return of $12\%,$ and that it be efficient, that is$,$ on the steepest feasible CAL.

Required:

a$.$ What is the standard deviation of your portfolio?

b$.$ What is the proportion invested in the money market fund and each of the two risky funds?