Teffan borrows $$4,500$ from the bank at $9$ percent annually compounded interest to be repaid in three equal annual installments. The interest paid in the third year is $\_\_\_\_\_\_\_\_\_.$

Group of answer choices

$$277\mathrm{.}95$

$$405\mathrm{.}00$

$$352\mathrm{.}00$

$$147\mathrm{.}00$