Consider the following information on a portfolio of three stocks:

$2\mathrm{.}75$ points

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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 Probability of State,$\backslash$table$[[$Stock A Rate of$],[$Economy$],[$of Economy$]],\backslash$table$[[$Stock B Rate of$],[$Return$]],\backslash$table$[[$Stock C Rate of$],[$Return$]],],[$Boom$,\mathrm{.}14,\mathrm{.}05,\mathrm{.}35,\mathrm{.}47],[$Normal$,\mathrm{.}52,\mathrm{.}13,\mathrm{.}25,\mathrm{.}23],[$Bust$,\mathrm{.}34,\mathrm{.}19,-\mathrm{.}24,-\mathrm{.}38]]$

a$.$ If your portfolio is invested $42$ percent each in A and $B$ and $16$ 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 $4\mathrm{.}4$ 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,,$\%$