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

a$-1.$ If your portfolio is invested $40$ percent each in A and $B$ and $20$ 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$.,16161.)$

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 $4\mathrm{.}90$ percent, what is the expected risk premium on the portfolio? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ If the expected inflation rate is $4\mathrm{.}40$ 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$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$-1.$ Portfolio expected return,,$26\mathrm{.}60],[$a$-2.$ Variance,,$],[$a$-3.$ Standard deviation,,$\%$