A stock is expected to pay a dividend of $$2\mathrm{.}50$ at the end of the year $($i$.$e$.,$ D$1=$ $$2\mathrm{.}50),$ and it should continue to grow at a constant rate of $5\%$ a year. If its required return is $14\%,$ what is the stock's expected price $5$ years from today? Do not round intermediate calculations. Round your answer to the nearest cent.