What comes closest to the value today of a stock that just paid a dividend of $$1\mathrm{.}65$ and expects to grow that dividend by $10\mathrm{.}00\%$ per year in year $1$ and year $2,$ and then grow but will then see the growth in dividends fall to $2\mathrm{.}00\%$ in the third year and will continue to grow at that lower rate each year thereafter forever. Using a required rate of return of $5\mathrm{.}00\%,$ provide an estimate of the price of the stock.

$$62\mathrm{.}18$

$$56\mathrm{.}10$

$$55\mathrm{.}00$

$$33\mathrm{.}00$

$$65\mathrm{.}11$