Problem $11-5$ Calculating Returns and Standard Deviations

You have been given the following information:

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

Stock A Stock B

Recession $\mathrm{.}19\mathrm{.}10\mathrm{.}14$

Normal $\mathrm{.}60\mathrm{.}13\mathrm{.}15$

Boom $\mathrm{.}21\mathrm{.}18\mathrm{.}32$

a$.$

Calculate the expected return for the two stocks. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the standard deviation for the two stocks. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$