A stock has a required return of $13\%,$ the risk$-$free rate is $5\mathrm{.}5\%,$ and the market risk premium is $5\%.$

$1$a$.$ What is the stock's beta? Round your answer to two decimal places.

$1$b$.$ If the market risk premium increased to $9\%,$ what would happen to the stock's required rate of return? Assume that the risk$-$free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places.

a$.$If the stock's beta is equal to $1\mathrm{.}0,$ then the change in required rate of return will be greater than the change in the market risk premium.

b$.$If the stock's beta is equal to $1\mathrm{.}0,$ then the change in required rate of return will be less than the change in the market risk premium.

c$.$If the stock's beta is greater than $1\mathrm{.}0,$ then the change in required rate of return will be greater than the change in the market risk premium.

d$.$If the stock's beta is less than $1\mathrm{.}0,$ then the change in required rate of return will be greater than the change in the market risk premium.

e$.$If the stock's beta is greater than $1\mathrm{.}0,$ then the change in required rate of return will be less than the change in the market risk premium.

$1$c$.$ What will the stock's required rate of return be$?$