Nonconstant Growth $($Calculator$)$

Osmium Corporation is expanding rapidly and currently needs to retain all of its earnings; hence, it does not pay dividends. However, investors expect the company to begin paying dividends, beginning with a dividend of $$2\mathrm{.}00$ coming $2$ years from today. The dividend should grow rapidly$-$at a rate of $25\%$ per year$-$during Years $3$ and $4$; but after Year $4,$ growth should be a constant $5\%$ per year. If the required return on Osmium is $13\%,$ what is the value of the stock today?