Fifteen years ago a couple purchased a house for $\$130{,}000.00$ by paying a 20 % down payment and financing the remaining balance with a 30-year mortgage at $4.74$% compounded monthly.

(a) Find the monthly payment for this loan.

Monthly Payment:
[Note: Your answer is a dollar amount and should have a dollar sign and exactly two decimal places.]

(b) Find the balance of the loan after $17$ years and after $18$ years?

[Note: Your answer for each loan balance should be a dollar amount and should have a dollar sign and exactly two decimal places.]

(c) Find the total amount of interest paid by the couple during the 18th year.

Interest Paid During 18th year:
[Note: Your answer is a dollar amount and should have a dollar sign and exactly two decimal places.]