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:

The correlation between the fund returns is $0\mathrm{.}13.$

a$-1.$ What are the investment proportions in the minimum$-$variance portfolio of the two risky funds? $($Do not round intermediate

calculations. Enter your answers as decimals rounded to $4$ places.$)$

a$-2.$ What are the expected value and standard deviation of the minimum$-$variance portfolio rate of return? $($Do not round intermediate

calculations. Enter your answers as decimals rounded to $4$ places.$)$