Storico Co$.$ just paid a dividend of $$2\mathrm{.}75$ per share. The company will increase its dividend by $20$ percent next year and will then reduce its dividend growth rate by $5$ percentage points per year until it reaches the industry average of $5$ percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on Storico stock is $13$ percent, what will a share of stock sell for today?