XYZ common just paid an annual dividend of $$6\mathrm{.}00.$ Dividends are expected to grow at a constant annual rate of $7\mathrm{.}6\%.$ Currently, the risk$-$free rate is $5\mathrm{.}5\%$ and the required rate of return on the market is $12\%.$ What is the highest price that you would pay for XYZ common given its beta of $1\mathrm{.}6?$

Group of answer choices

$$57\mathrm{.}16$

$ $81\mathrm{.}45$

$$77\mathrm{.}78$

$ $68\mathrm{.}51.$

Other things equal, what is the highest price that you would pay for XYZ common if instead the stock had a beta of $0\mathrm{.}5?$

Group of answer choices

$$561\mathrm{.}39$

$$461\mathrm{.}39$

$$361\mathrm{.}39$

$$261\mathrm{.}39.$