Metallica Bearings, Incorporated, is a young startup company. No dividends will be paid on the stock over the next $10$ years because the firm needs to plow back its earnings to fuel growth. The company will then pay a dividend of $$13\mathrm{.}50$ per share $11$ years from today and will increase the dividend by $5\mathrm{.}25$ percent per year, thereafter. If the required return on this stock is $13\mathrm{.}25$ percent, what is the current share price?

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.