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You are considering buying shares in a company that is expanding very fast. Therefore, the company will pay $$0$ dividends for the next $3$ years. After that, starting at the end of year $4,$ it will pay a dividend of $$0\mathrm{.}75$ per share to its common shareholders and increase it by $5\%$ each year forever. If you require $10\%$ per year on this investment, how much would you pay for the stock?

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a$)$ $$20\mathrm{.}15$

b$)$ $$11\mathrm{.}27$

c$)$ $$12\mathrm{.}89$

D$)17\mathrm{.}68$