$[$The following information applies 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 yields a sure rate of $5\mathrm{.}5\%.$ The probability distributions of the risky funds are:

Expected Return Standard Deviation

Stock fund $($S$)16\%36\%$

Bond fund $($B$)10\%27\%$

The correlation between the fund returns is $0\mathrm{.}20.$

Problem $6-8($Algo$)$

Required:

the expected return and standard deviation for the minimum$-$variance portfolio of the two risky funds are $11\mathrm{.}96\%$ for expected return, and $23\mathrm{.}54\%$ for standard deviation

the numerical proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio are Portfolio invested in the stock $64\mathrm{.}14$selected answer correct $\%$

Portfolio invested in the bond $35\mathrm{.}86$selected answer correct $\%$

Expected return $13\mathrm{.}85$selected answer correct $\%$

Standard deviation $26\mathrm{.}76$selected answer correct $\%$

What is the Sharpe ratio of the best feasible CAL? $($Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$

sharpe ratio $=\_\_\_\_\_\_\_$