You are looking at obtaining a $4$ year simple installment loan of $$36,780$ with an annual interest rate of $5\mathrm{.}5\%.$

If you make your monthly payment for $4$ years, how much total interest will you pay over the life of the above loan?

Group of answer choices

$$8,890\mathrm{.}56$

$$5,659\mathrm{.}68$

$$6,901\mathrm{.}92$

$$4,277\mathrm{.}76$