Fowler and Woods Enterprises is a publicly traded company that just paid a $$2\mathrm{.}00$ per share dividend. The company is expected to increase its dividend by $30\%$ per year for the next two years. After the second year, the dividend growth rate will be $5\%$ per year for the next two years. After the $4^{th}$ year, dividends are expected to grow at a constant rate of $3\%$ into the foreseeable future. An analyst estimates that investors in the firm will require a $12\%$ annual return. Based on this information, what is the intrinsic value of the stock today?

$$31\mathrm{.}70$

$$41\mathrm{.}42$

$$37\mathrm{.}01$

$$29\mathrm{.}68$

$$ $$34\mathrm{.}31$