Consider the following information about three stocks:

$\backslash$table$[[,$Probability of$,$Rate of$],[$State of$,$State of$,$Stock A$,$Stock B$,$Stock C$],[$Economy$,$Economy,,State,Occurs$],[$Boom$,0\mathrm{.}30,0\mathrm{.}27,0\mathrm{.}32,0\mathrm{.}55],[$Normal$,0\mathrm{.}40,0\mathrm{.}23,0\mathrm{.}18,0\mathrm{.}15],[$Bust$,0\mathrm{.}30,0\mathrm{.}01,-0\mathrm{.}32,-0\mathrm{.}48]]$

a$-1.$ If your portfolio is invested $40\%$ each in A and B and $20\%$ in C$,$ what is the portfolio expected return? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decimal places.$)$

Portfolio expected return $\%$

a$-2.$ What is the variance? $($Do not round intermediate calculations. Round the final answer to $8$ decimal places.$)$

Variance

a$-3.$ What is the standard deviation? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decimal places.$)$

Standard deviation $$

$\%$

b$.$ If the expected T$-$bill rate is $5\mathrm{.}10\%,$ what is the expected risk premium on the portfolio? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decim$$ ces.$)$

Expected risk premium $\%$

c$-1.$ If the expected inflation rate is $3\mathrm{.}10\%,$ what are the approximate and exact expected real returns on the portfolio? $($Do not round intermediate calculations. Enter the answers as a percent rounded to $2$ decimal places.$)$

$\backslash$table$[[$Approximate expected real return,$8\mathrm{.}44,\%],[$Exact expected real return,$8\mathrm{.}19,\%]]$

c$-2.$ What are the approximate and exact expected real risk premiums on the portfolio? $($Do not round intermediate calculations. Enter the answers as a percent rounded to $2$ decimal places.$)$

$\backslash$table$[[$Approximate expected real risk premium,$3\mathrm{.}34,$Q$],[$Exact expected real risk premium,$2\mathrm{.}06,x\%$