Question

You just made the last monthly payment on a 30 year mortgage -- the house is yours! In your joyous moment, you calculate how much you made in payments over those 30 years, and it is $647,514! If your interest rate was an APR of 6%, and you made equal monthly payments, how much did you originally borrow for this house

Answer 1

$112,807

Step-by-step explanation:

To calculate the amount of money you borrowed, you have to use the formula to calculate the present value:

PV=FV/(1+r)^n

PV= pressent value

FV= future value= 647,514

r= rate= 6%

n= number of periods of time= 30

PV=647,514/(1+0.06)^30

PV=647,514/(1.06)^30

PV=647,514/5.74

PV=112,807

According to this, you originally borrowed $112,807 for this house.