Company A has an EPS of $$6\mathrm{.}85$ today. The company is currently not paying dividends. They expect to grow the earnings by $45\%$ for the next $5$ years. After $5$ years, they will start paying $82\%$ in dividends. What should be the price of the stock today if they expect the dividends to grow by $5$ after year $5?$ The cost of capital is $13\mathrm{.}75.$

NOTE: Enter the number rounding to two decimals. If your answer is $$5\mathrm{.}6786,$ your answer must be $5\mathrm{.}68.$