Beta Company re$-$invests all of its earnings to fund growth, so they expect to pay no dividends for the next $7$ years. The company will pay a dividend of $$3\mathrm{.}00$ per share beginning at Year $8,$ and this dividend will grow at a constant rate of $5\%$ per year thereafter. The company is very risky, and has a required rate of return of $16\%.$ What is the price of Beta's stock today?

Group of answer choices

$$9\mathrm{.}65$

$$19\mathrm{.}38$

$$13\mathrm{.}14$

$$11\mathrm{.}19$

$18\mathrm{.}75$

$$8\mathrm{.}32$