$4.$ A company plans to pay no dividends in the next $3$ years because it needs earnings to finance new investment projects. The firm will pay a $$5\mathrm{.}00$ per share dividend in year $4$ and will increase the dividend by $30$ percent per year for the next $3$ years $($i$.$e$.,$ year $5$ to year $7).$ After that the company will maintain a constant dividend growth rate of $6$ percent per year forever. The required return on the stock is $14$ percent per year. Assume that dividends are paid annually. Find the current stock price.