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$)20\%30\%$

Bond fund $($B$)1215$

The correlation between the fund returns is $0\mathrm{.}10.$

You require that your portfolio yield an expected return of $14\%,$ and that it be efficient, that is$,$ on the steepest feasible CAL.

a$.$ What is the standard deviation of your portfolio? $($Round your answer to $2$ decimal places.$)$

Standard deviation

$\%$

b$.$ What is the proportion invested in the money market fund and each of the two risky funds? $($Round your answers to $2$ decimal places.$)$

Proportion Invested

T$-$bill fund

$\%$

Stocks

$\%$

Bonds

$\%$