Required Information

$[$The following information applles to the questions displayed below.$]$

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long$-$term government

and corporate bond fund, and the third is a T$-$bill money market fund that ylelds a sure rate of $5\mathrm{.}5\%.$ The probabillty

distributions of the risky funds are:

The correlation between the fund returns is $0\mathrm{.}15.$

Required:

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

Note: Do not round Intermedlate calculations and round your final answers to $2$ decimal places.

Portfolio invested in the stock

Portfolio invested in the bond

Expected return

Standard deviation