Cullumber Mechanical Inc.$\text{'}$s first dividend of $$1\mathrm{.}60$ per share is expected to be paid six years from today. From then on$,$ dividends will grow by $10$ percent per year for five years. After five years, the growth rate will slow to $5$ percent per year in perpetuity. Assume that Cullumber's required rate of return is $13$ percent. What is the price of a share of Cullumber Mechanical today? $($Round present value factor calculations to $5$ decimal places, eg$.1\mathrm{.}15612.$ Round other intermediate calculations to $3$ decimal places, eg$.1\mathrm{.}156$ and final answer to $2$ decimal places, e$.$g$\mathrm{.}115\mathrm{.}61.)$

Price of the stock $