A firm's current stock price is $$36\mathrm{.}00$ and it's last dividend was $$2\mathrm{.}40.$ the required rate of return is $12\%.$ Dividends are expected to grow at a constant g of $5\%,$ what is the expected price of the stock $5$ years form now?

Question $1$ options:

$1)$ $$43\mathrm{.}75$

$2)$ $$45\mathrm{.}95$

$3)$ $$55\mathrm{.}00$

$4)$ none of the answers are correct