A stock just paid a dividend this morning of $$1\mathrm{.}47.$ Dividends are expected to grow at $15\mathrm{.}00\%$ for the next two years. After year $2,$ dividends are expected to grow at $8\mathrm{.}00\%$ for the following three years. At that point, dividends are expected to grow at a rate of $4\mathrm{.}00\%$ forever. If investors require a return of $13\mathrm{.}00\%$ to own the stock, what is its intrinsic value?