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 ta 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$]],\backslash$table$[[$Stock A Rate of$],[$Return$]],\backslash$table$[[$Stock B Rate of$],[$Return$]],\backslash$table$[[$Stock C Rate of$],[$Return$]]],[$Boom$,\mathrm{.}14,\mathrm{.}11,\mathrm{.}36,\mathrm{.}51],[$Normal$,\mathrm{.}51,\mathrm{.}19,\mathrm{.}21,\mathrm{.}29],[$Bust$,\mathrm{.}35,\mathrm{.}20,-\mathrm{.}20,-\mathrm{.}39]]$

a$.$ If your portfolio is invested $44$ percent each in A and $B$ and $12$ 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$.,\mathrm{.}16161.$ 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 $4\mathrm{.}2$ percent, what is the expected risk premium on the portfolio?