Company A has the following characteristics:

Shares Outstanding: $50,000,000$

Share Price: $$12\mathrm{.}50$

Market Cap: $$687,500,000$

What should the Share price be if the firm "bought back" $10\%$ of their shares?

Group of answer choices

$$13\mathrm{.}06$

$$15\mathrm{.}27$

$$17\mathrm{.}19$

$$12\mathrm{.}50$