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 $0\mathrm{.}09.$

Required:

a$-1.$ What are the investment proportions in the minimum$-$variance portfolio of the two risky funds?

a$-2.$ What are the expected value and standard deviation of the minimum$-$variance portfolio rate of

return?

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What are the investment proportions in the minimum$-$variance portfolio of the two risky funds?

Note: Do not round intermediate calculations. Enter your answers as decimals rounded to $4$ places.