Today, your dream car costs $$54,500.$ You feel that the price of the car will increase at an annual rate $2\mathrm{.}4$ percent. If you plan to wait $4$ years to buy the car, how much will it cost at that time? $($Assume annual compounding.$)$

Multiple Choice

$$61,102\mathrm{.}36$

$$59,923\mathrm{.}38$

$$58,518\mathrm{.}93$

$$61,361\mathrm{.}54$