Quaker Inc. made two announcements concerning its common stock today. First, the company announced that its next annual dividend has been set at $$2$ a share. Secondly, the company announced that all future dividends will increase by $3\%$ annually. What is the maximum amount you should pay to purchase a share of the company$$s stock if your goal is to earn a $6\%$ rate of return?

Group of answer choices

$$41\mathrm{.}60$

$$52\mathrm{.}46$

$$57\mathrm{.}00$

$$62\mathrm{.}00$

$$66\mathrm{.}67$