Consider the following information on a portfolio of three stocks:

Note: Don't forget to click the button for HINT for a video as it shows the formulas to complete this problem.

This question is mostly like an earlier Excel$-$based problem you did earlier. The one added element is you must calculate the risk premium in question $b,$ which is the expected return $-$ risk$-$free rate. The risk$-$free rate is assumed to be the $T-$bill rate.

$\backslash$table$[[$State of$,\backslash$table$[[$Probability of$],[$Economy$]],\backslash$table$[[$Stack A Rate of$],[$Boom$]],\backslash$table$[[$Stock B Rate of$],[$Return$]],\backslash$table$[[$Stock C Rate of$],[$Return$]]],[$Normal$,\mathrm{.}13,\mathrm{.}08,\mathrm{.}33,\mathrm{.}54],[$Bust$,\mathrm{.}34,\mathrm{.}16,\mathrm{.}18,\mathrm{.}26]]$

a$.$ If your portfolio is invested $38$ percent each in A and $B$ and $24$ percent in $C,$ what is the portfolio's expected return, the variance, and the standard deviation?

Note: Do not round intermediate calculations. Round your variance answer to $5$ decimal places, e$.$g$.,16161.$ Enter your other answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ If the expected $T-$bill rate is $4\mathrm{.}05$ percent, what is the expected risk premium on the portfolio?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Expected return,,$\%$