Nuclear Inc. just paid a $$1\mathrm{.}25$ dividend. Dividends are expected to grow by $28\%$ in year $1,$ by $24\%$ in year $2,$ and by $19\%$ in year $3.$ After this, dividends are expected to grow at constant rate of $5\%$ per year. If the required return for this stock is $9\%,$ how much should the stock sell for today?