You are interested in investing in a private company. Based on earnings multiples of similar publicly traded firms, you estimate the value of the private company's stock to be $$13\mathrm{.}44$ per share. You plan to acquire a majority of the shares in the company. The expected control premium is $12$ percent, while the marketability discount for such a firm is $15$ percent. The discount for the key person, one of the founders who may leave the firm upon your control of the firm, is $15$ percent. What price should you be willing to pay for these shares?

$$14\mathrm{.}92$ per share

$$16\mathrm{.}65$ per share

$$11\mathrm{.}80$ per share

$$10\mathrm{.}88$ per share