Nuclear Inc. just paid a $$2\mathrm{.}50$ dividend. Dividends are expected to grow by $28\%$ in year $1,$ by $23\%$ in year $2,$ and by $24\%$ in year $3.$ After this, dividends are expected to grow at constant rate of $1\%$ per year. If the required return for this stock is $7\%,$ how much should the stock sell for today?