$\backslash$table$[[$State of$,\backslash$table$[[$Probability of$],[$State of$]],,$Rate of Return if State Occurs$],[$Economy$,$Economy,Stock A$,$Stock B$,$Stock C$,],[$Boom$,\mathrm{.}22,\mathrm{.}30,\mathrm{.}42,\mathrm{.}58,],[$Normal$,\mathrm{.}46,\mathrm{.}23,\mathrm{.}21,\mathrm{.}19,],[$Bust$,\mathrm{.}32,\mathrm{.}01,-\mathrm{.}22,-\mathrm{.}50,]]$

a$-1.$ If your portfolio is invested $25$ percent each in A and $B$ and $50$ 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$.,\mathrm{.}16161.)$

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 $4\mathrm{.}30$ 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 $3\mathrm{.}90$ 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,,$\%$