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

Consider the following information about three stocks:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,Probability of State,,,,$],[$Boom$,$of Economy,Stock A$,$Stock B$,$Stock C$,],[$Normal$,20,20,32,54,],[$Bust$,45,18,16,14,]]$

$0-1.$ 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$.,32\mathrm{.}16.)$

$-2.$ What Is the varlance? $($Do not round intermedlate 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 $3\mathrm{.}80$ percent, what is the expected risk premium on the portfolio? $($Do not round intermedlate 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 $3\mathrm{.}40$ percent, what are the approximate and exact expected real returns on the portfolio? $($Do not round intermedlate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,3216.)$

c$-2.$ What are the approximate and exact expected real risk premiums on the portfolio?

$($Do not round Intermedlate 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,PI$,|\%|$