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A stock is expected to pay a dividend of $$2\mathrm{.}25$ at the end of the year $($i$.$e$.,D_1=$$$2\mathrm{.}25),$ and it should continue to grow at a constant rate of $8\%$ a year. If its required return is $12\%,$ what is the stock's expected price $5$ years from today? Do not round intermediate calculations. Round your answer to the nearest cent.