A stock you are holding has a beta of $2\mathrm{.}0$ and the stock is currently in equilibrium. The required rate of return on the stock is $15\%$ versus a required return on an average stock of $10\%.$ Now the required return on an average stock increases by $27\mathrm{.}5\%($not percentage points$).$ The risk$-$free rate is unchanged. By what percentage $($not percentage points$)$ would the required return on your stock increase as a result of this event?

Select the correct answer.

a$.36\mathrm{.}67\%$

b$.36\mathrm{.}60\%$

c$.36\mathrm{.}74\%$

d$.36\mathrm{.}53\%$

e$.36\mathrm{.}46\%$