Chandler and Monica Bing wish to buy a new home. The listing price is $387,500 and they plan to put 20% down. New Rochelle Savings and Loan will lend them the remainder at a 9% fixed APR for 30 years, with monthly payments to begin in one month. For simplicity, lets ignore closing costs and taxes when solving this question.

a). How much will their monthly payments be?

b). Suppose Chandler and Monica wants to pay off the loan in 15 years. How much extra must they pay each month to do so, if the APR remains at 9% and there is no early payment penalty?

c 1). Suppose they chose the 30 year plan and 20 years have passed since the loan started. They have made the past 240 payments exactly on time. What is the remaining balance on their loan now?

c 2). Chandler and Monicas rich actor friend Joey decides to help them pay a lump sum $100,000 on their remaining balance. After the help from this generous friend, what is their remaining balance at year 20?

c 3). If Chandler and Monica decide to make equal monthly payment for the 10 years left for the remaining balance after this generous help from Joey, what will their monthly payment be?