what is the standard deviation of your portfolio? what is the proportion invested in the t bill fund. stock fund $16\%32\%.$ bond fund $10\%23\%.$ the correlation between the fubnd return is $0\mathrm{.}20$

Section Break $(8-11)$

$[$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:

Stock fund $($S$)$

Expected Return

Standard Deviation

Bond fund $(B)$

$16\%$

$32\%$

$23\%$

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

Problem $6-11($Algo$)$

Suppose now that your portfolio must yield an expected return of $13\%$ and be efficient, that is$,$ on the best feasible CAL.

Required:

a$.$ What is the standard deviation of your portfolio? $($Do not round intermediate calculations. Round your answer to $2$ decimal

places.$)$

Standard deviation

$\%$

b$-1.$ What is the proportion invested in the T$-$bill fund? $($Do not round intermediate calculations. Round your answer to $2$ decimal

places.$)$

Proportion invested in the T$-$bill fund

$\%$

b$-2.$ What is the proportion invested in each of the two risky funds? $($Do not round intermediate calculations. Round your answers to

$2$ decimal places.$)$