In: Finance
Sarah has a mortgage on her house with a balance of $150,000 and the APR on the loan is 6%. She is currently paying $1,500 a month on the loan, at this rate how many years will it take to repay the loan?
Mortgage balance today is $150,000 assuming it as current loan amount for calculation purposes.
Monthly Payment = $1500
Calculating the No of years it would take to pay off the mortgage:-
Where, P = Loan amount = $150,000
r = Periodic Interest rate = 6%/12 = 0.5%
n= no of periods or months
Taking Log on both sides,
n*Log(1.005) = Log(2)
Solving log with financial calculator,
n*0.00216606 = 0.301030
n = 138.98
No of months = 138.98
No of years = 11.58 years
So, the no of years will it take to repay the loan is 11.58 years