Hilton Worldwide Holdings Inc. $($HLT$)$ just paid $$2\mathrm{.}05$ to its shareholders as the annual dividend. Simultaneously, the company announced that future dividends will be increasing by $4\mathrm{.}5$ percent. If you require a rate of return of $8\mathrm{.}7$ percent, how much are you willing to pay today to purchase one share of the company's stock?

Group of answer choices

$$53\mathrm{.}06$

$$25\mathrm{.}50$

$$16\mathrm{.}23$

$$51\mathrm{.}01$

$$24\mathrm{.}62$