The dividend on Racing Motors common stock will be $$2$ in $1$ year, $$3\mathrm{.}50$ in $2$ years, and $$5\mathrm{.}00$ in $3$ years. After that dividends are expected to grow at a rate of $6\%.$ If you require a $10\%$ return on your investment, at what price would you be willing to sell the stock in three years?