Suppose you purchase a house for $551,312 using a 30-year fixed-rate mortgage. You agree to make a down payment of $39,109 today. In addition, you agree to pay $87,546 in 3 years and $27,646 in 9. Find the size of your monthly payment you should ask for from your bank if interest rates are currently 4.6% and payments are made at the end of the month with the fist payment due at the end of this month.