Amy and Kevin are purchasing their first home and have arranged for a mortgage of $200 000 at a fixed annual interest rate of 6.75% compounded monthly for a period of 30 years.

a) What will be their monthly payment?

b) At the end of year 10, what amount will be necessary to pay off the loan?

c) If at the end of the first year they pay an additional sum of $50 000 on the principal, what is the remaining principal?