A company has stock that just paid a $$4\mathrm{.}7$ per share dividend. The dividend is expected to grow at $13\%$ over the next year and then grow at a constant $2\%$ per year forever. If the stock's required return is $9\%,$ how much should you be willing to pay for a share of the stock? Round your final answer to two decimal places $($don$\text{'}$t round intermediate calculations$).$