Simpkins corporation does not pay any dividends and is expanding rapidly and need to retain all of it earnings. however, investors expect Simpkins to begin paying dividends, with the first dividend of $$\mathrm{.}50$ coming $3$ years from today. the dividends should grow rapidly at a rate of $80\%$ peyear 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 stock today