Consider the following information about three stocks:

State of

Economy Probability of State of Economy Rate of Return if State Occurs

Stock A Stock B Stock C

Boom $0\mathrm{.}250\mathrm{.}220\mathrm{.}340\mathrm{.}56$

Normal $0\mathrm{.}480\mathrm{.}190\mathrm{.}170\mathrm{.}15$

Bust $0\mathrm{.}270\mathrm{.}030\mathrm{.}350\mathrm{.}44$

a$-1.$ If your portfolio is invested $45\%$ each in A and B and $10\%$ in C$,$ what is the portfolio expected return? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decimal places.$)$

Portfolio expected return $\%$

a$-2.$ What is the variance? $($Do not round intermediate calculations. Round the final answer to $8$ decimal places.$)$

Variance

a$-3.$ What is the standard deviation? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decimal places.$)$

Standard deviation $\%$

b$.$ If the expected T$-$bill rate is $4\mathrm{.}10\%,$ what is the expected risk premium on the portfolio? $($Do not round intermediate calculations. Enter the answer as a percent rounded to $2$ decimal places.$)$

Expected risk premium $\%$

c$-1.$ If the expected inflation rate is $2\mathrm{.}10\%,$ what are the approximate and exact expected real returns on the portfolio? $($Do not round intermediate calculations. Enter the answers as a percent rounded to $2$ decimal places.$)$

Approximate expected real return $\%$

Exact expected real return $\%$

c$-2.$ What are the approximate and exact expected real risk premiums on the portfolio? $($Do not round intermediate calculations. Enter the answers as a percent rounded to $2$ decimal places.$)$

Approximate expected real risk premium $\%$

Exact expected real risk premium