$7.$ A stock will pay a dividend of $$9\mathrm{.}8$ exactly one year from now. Future dividends will grow at $17\%$ for the following $2$ years and then a constant $2\%$ every year thereafter. If the stock's required rate of return is $14\mathrm{.}8\%,$ what is a fair price for the stock today? Round your answer to the nearest penny.