Consider the following information on three stocks:

$\backslash$table$[[,,,$Rate of Return If State Occurs,$],[,,,,],[$State of$,$Probability of$,,,],[$Sconomy$,$State of$,$Stock A$,$Stock B$,$Stock C$],[$Boom$,\mathrm{.}25,\mathrm{.}22,\mathrm{.}34,\mathrm{.}56],[$Normal$,\mathrm{.}48,\mathrm{.}19,\mathrm{.}17,\mathrm{.}15],[$Bust$,\mathrm{.}27,\mathrm{.}03,-\mathrm{.}35,-\mathrm{.}44]]$

a$-1.$ If your portfolio is invested $45$ percent each in A and $B$ and $10$ percent in $C,$ what is the portfolio expected return? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$-2.$ What is the variance? $($Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,\mathrm{.}32161.)$

a$-3.$ What is the standard deviation? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If the expected T$-$bill rate is $3\mathrm{.}90$ percent, what is the expected risk premium on the portfolio? $($Do not round intermediate calculations abd enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ If the expected inflation rate is $3\mathrm{.}50$ percent, what are the approximate and exact expected real returns on the portfolio? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-2.$ What are the approximate and exact expected real risk premiums on the portfolio? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$