A $$13,000$ loan is to be amortized by equal monthly payments for five years. The interest rate is $12\%$ compounded monthly.How much interest will the debtor pay in total over the five$-$year period?

a

$$4350\mathrm{.}80$

b

$$17,350\mathrm{.}80$

c

$$17,178\mathrm{.}60$

d

$$4116\mathrm{.}84$