Nuclear Inc. just paid a $$3\mathrm{.}00$ dividend. Dividends are expected to grow by $25\%$ in year $1,$ by $30\%$ in year $2,$ and by $24\%$ in year $3.$ After this, dividends are expected to grow at constant rate of $2\%$ per year. If the required return for this stock is $8\%,$ how much should the stock sell for today?