Computech Corporation is expanding rapidly and currently needs to retain all of its earnings; hence, it does not pay dividends. However, investors expect Computech to begin paying dividends, beginning with a dividend of $$2\mathrm{.}00$ coming $3$ years from today. The dividend should grow rapidly$$at a rate of $22\%$ per year$$during Years $4$ and $5,$ but after Year $5,$ growth should be a constant $8\%$ per year. If the required return on Computech is $13\%,$ what is the value of the stock today? Do not round intermediate calculations. Round your answer to the nearest cent.