Premier, Incorporated, has an odd dividend policy. The company has just paid a dividend of $$3\mathrm{.}75$ per share and has announced that it

will increase the dividend by $$5$ per share for each of the next four years, and then never pay another dividend. If you require a return

of $11$ percent on the company's stock, how much will you pay for a share today?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete but not entirely correct.