$3.$ Strico Co$.$ just paid a dividend of $$3\mathrm{.}50$ per share. The company will increase its dividend by $20$ percent next year and will then reduce its dividend growth rate by $5$ percent per year until it reaches the industry average of $5$ percent dividend growth, after which the firm will keep a constant growth rate forever. If the required rate of return on Sterico stock is $13$ percent, What will a share of stock sell for today?