Consider the following information about three stocks:

$\backslash$table$[[\backslash$table$[[$State of Economy$],[$Boom$]],\backslash$table$[[$Probability of State$],[$of Economy$]],$Rate of Return if State Occurs$],[$Stock A$,$Stock B$,$Stock C$],[$Normal$,\mathrm{.}20,\mathrm{.}38,\mathrm{.}50,\mathrm{.}50],[$Bust$,\backslash$table$[[\mathrm{.}55],[25]],16,\mathrm{.}14,\mathrm{.}12],[,\mathrm{.}25,\mathrm{.}00,-\mathrm{.}30,-\mathrm{.}50]]$

a$-1.$ If your portfolio is invested $30$ percent each in A and $B$ and $40$ 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 $3\mathrm{.}60$ 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 $3\mathrm{.}20$ 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,$9\mathrm{.}62,\%$