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 $$2\mathrm{.}1.$ It is expected to pay a dividend of $$2\mathrm{.}5$ exactly five years from now. The dividend is expected to grow at a rate of $10\%$ per year forever after that point. The required return on the stock is $16\%.$ The stock's estimated price per share exactly TWO years from now, P$2,$ should be $$\_\_\_\_\_\_.$

Margin of error for correct responses: $+/-\mathrm{.}10$

Rounding and Formatting instructions:

Do not enter dollar signs, percent signs, commas, X$,$ or any words in your response. Do not round any intermediate work, but round your $*$final$*$ response to $2$ decimal places $($example: if your answer is $12\mathrm{.}3456,12\mathrm{.}3456\%,$ or $$12\mathrm{.}3456,$ you should enter $12\mathrm{.}35).$