Fast Growth Company currently pays no dividends $($DIV $0=$ $$0).$ To help fund its growth, Fast will also pay no dividends for the next $5$ years. In the $6$th year, however, Fast expects to pay a dividend of $$7\mathrm{.}50$ per share. This dividend will grow by $15\%$ in the $7$th year, by $10\%$ in the $8$th year, and by $5\%$ in years $9$ and beyond. If the required rate of return for Fast is $8\%,$ what is the current price of one share of Fast's common stock?

Group of answer choices

$$194\mathrm{.}29$

$$209\mathrm{.}83$

$$184\mathrm{.}53$

$$179\mathrm{.}90$

$$179\mathrm{.}40$

$$174\mathrm{.}42$