A stock just paid a dividend of $$3\mathrm{.}00.$ The dividend will grow at a $25\%$ rate for $2$ years, and then the dividend will grow at a constant $5\%$ rate forever. If the required rate of return of the stock is $12\%,$ what is the current price of the stock?

Group of answer choices

$$78\mathrm{.}35$

$$53\mathrm{.}57$

$$45\mathrm{.}00$

$$63\mathrm{.}14$

$$73\mathrm{.}81$