Problem $13-23$ Portfolio Returns and Deviations $[$LO$2]$

Consider the following information about three stocks:

$\backslash$table$[[,$Probability of State,Rate of Return if State Occurs$],[$State of Economy,of Economy,Stock A$,$Stock B$,$Stock C$],[$Boom$,\mathrm{.}26,\mathrm{.}32,\mathrm{.}44,\mathrm{.}56],[$Normal$,\mathrm{.}50,\mathrm{.}13,\mathrm{.}11,\mathrm{.}09],[$Bust$,\mathrm{.}24,\mathrm{.}04,-\mathrm{.}25,-\mathrm{.}45]]$

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$.,\mathrm{.}16161.)$

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 $3\mathrm{.}30$ 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 $2\mathrm{.}90$ 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$.,32\mathrm{.}16.)$