You are valuing a company that specializes in AI$.$ The company has reinvested all its earnings into the business and thus has not paid a dividend yet. You expect that it will not pay any dividends in the next four years. You expect the first dividend of $$2$ to be paid out at the end of year $5$ and that dividends will continue to grow at a rate of $5\%$ per year. What$$s the value of one share? Assume an interest rate of $10\%$ per year. Answer in dollars with $2$ decimals.