In: Finance
Some friends tell you that they paid $14,773 down on a new house and are to pay $769 per month for 30 years. If interest is 6.3% compounded monthly,what was the selling price of the house?How much interest will they pay in 30 years?
We need to find the present value of the monthly payment first, and then add the down payment to get the selling price of the house
PMT = 769
n = 30 * 12 = 360
r = 6.3%/12
r = 0.00525
Selling price = PV + Down payment
Selling price = 124,238.0946468953 + 14,773
Selling price = $139,011.0946468953
Interest to pay = PMT * n - PV
Interest to pay = 769 * 360 - 124,238.0946468953
Interest to pay = $152,601.9053531047