Your cousin deposited $$2,500$ today at $6\mathrm{.}5$ percent interest for $15$ years. However, you can only earn $6\mathrm{.}25$ percent interest. How much more money must you deposit today than your cousin invested if you are to have the same amount saved at the end of the $15$ years? $($Assume annual compounding on both accounts.$)$Multiple Choice$$92\mathrm{.}19$ $$89\mathrm{.}70$ $$88\mathrm{.}78$ $$90\mathrm{.}21$ $$93\mathrm{.}39$