L&M Corporation does not pay any dividends because it is expanding rapidly and needs to retain all of its earnings. However, investors expect L&M to begin paying dividends, with the first dividend of $$0\mathrm{.}50$ coming $3$ years from today. The dividend should grow rapidly$$at a rate of $80\%$ per year$$during Years $4$ and $5.$ After Year $5,$ the company should grow at a constant rate of $7\%$ per year. If the required return on the stock is $16\%,$ what is the value of the stock today?