John wants to buy a home priced at $180,000. The transaction will cost John another $3,500, that can financed along with the mortgage. Now, he has $10,000 available for down payment. The bank is offering mortgages at 4.3% effective annual interest, (the interest will be compounded monthly). He agreed to pay the loan in monthly installments for 30 years.

Right after the 30th payment, John wins the lottery and wishes to pay off the remainder of the loan in a lump sum amount. What is the payment size? (10 pts)

For the first six months of payments, determine how the payments are distributed between interests and principal (amortization table). (15 pts)