Jack and Hope are thinking of purchasing a house. The house costs $320,000 and they have saved $80,000 as a down payment. The rest will be secured by a mortgage. The bank is offering a 25 year mortgage with a term of 5 years at a rate of 7% (APR) requiring monthly payments.

a) Calculate the amount of the payments.

b) Calculate the monthly payments if they are made at the beginning of the month rather than the end.

c) If Jack and Hope can only afford to pay $1,500 each month, how much would the bank allow them to borrow? (payments made at the end of each month)

d) Based on the reduced mortgage amount calculated in (c), Jack and Hope decide to delay the purchase of the house for 2 years, so they can save the additional money needed to fund the shortfall. How much would they need to save each month in order to save the necessary funds? Assume they can invest the funds in an account earning 6% with interest compounded monthly. The $80,000 down payment will also be deposited into this account.

e) Assuming they secure the mortgage in part (c), how much of the 81’st mortgage payment is principal and how much is interest?