Consider the scenario where the current $30-$day risk$-$free treasury bill pays $3\mathrm{.}6\%$ and solve for the following:

a$.$ If the market risk premium is $5\%,$ what is the required return for a stock with a beta of $1\mathrm{.}2?$

b$.$ Assuming a required rate of return in the general equity market of $10\mathrm{.}5\%,$ what is the difference in required returns between a stock with a beta of $1\mathrm{.}0$ and another with a beta of $1\mathrm{.}8?$

c$.$ A stock with a beta of $0\mathrm{.}6$ while a similar stock with a beta of $1\mathrm{.}2$ earns a $10\mathrm{.}3\%$ rate of return.