A stock will pay no dividends for the next $3$ years. Four years from now, the stock is expected to pay its first dividend in the amount of $$2\mathrm{.}5.$ It is expected to pay a dividend of $$2\mathrm{.}9$ exactly five years from now. The dividend is expected to grow at a rate of $9\%$ per year forever after that point. The required return on the stock is $14\%.$ The stock's estimated price per share exactly TWO years from now, P$2,$ should be $$\_\_\_\_\_\_.$