Problem $13-31$ Using CAPM $($LO$1,4)$

There are two stocks in the market, stock A and stock $B.$ The price of stock A today is $$77.$ The price of stock A next year will be $$65$ if the economy is in a recession, $$85$ if the economy is normal, and $$97$ if the economy is expanding. The probabilities of recession, normal times, and expansion are $0\mathrm{.}2,0\mathrm{.}6,$ and $0\mathrm{.}2,$ respectively. Stock A pays no dividends and has a beta of $0\mathrm{.}80.$ Stock $B$ has an expected return of $13\%,$ a standard deviation of $34\%,$ a beta of $0\mathrm{.}57,$ and a correlation with stock $A$ of $0\mathrm{.}48.$ The market portfolio has a standard deviation of $14\%.$ Assume the CAPM holds.

a$.$ What are the expected return and standard deviation of stock A$?($Do not round intermediate calculations. Round the final answers to $2$ decimal places.$)$

$\backslash$table$[[$Expected return,Stock $A$