Ten years ago you took out a $$200,000$ loan. The details of the loan called for uniform payments to occur every month for fifteen years. $($The first payment occurred one month after receiving the loan.$)$ Interest rates have dropped significantly, and you have decided to refinance the loan for the remaining loan period. If the original loan interest rate was $6\%,$ compounded monthly and the refinance rate is $3\mathrm{.}72\%,$ compounded monthly, the most you are willing to pay in refinance charges is closest to$...($Assume the refinance occurs immediately after the final payment of the tenth year.$).(5)$

a$)$ $$1,688$

b$)$ $$87,298$

c$)$ $$3,775$

d$)$ $$4,707$

e$)$ $$5,551$

f$)$ $$4,975$

g$)$ $$11,299$

correct answer: F