Problem $13-23$ Portfolio Returns and Deviations $($LO$1,2)$

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 $0\mathrm{.}260\mathrm{.}260\mathrm{.}380\mathrm{.}55$

Normal $0\mathrm{.}500\mathrm{.}210\mathrm{.}190\mathrm{.}17$

Bust $0\mathrm{.}240\mathrm{.}050\mathrm{.}380\mathrm{.}46$

a$-1.$ If your portfolio is invested $35\%$ each in A and B and $30\%$ 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 $4\mathrm{.}30\%,$ 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 $2\mathrm{.}30\%,$ 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

$\%$