A house of $ 120,000 is purchased through a mortgage loan with the following characteristics: annual rate of 10% for 10 years with annual payments at the end of each year and amortizing from the 2nd year (the 1st is not amortized but it is pays interest). At the end of the 6th year it is decided to prepay the loan. What is the amount to prepay? (Choose the closest alternative)
a. 48 000
b. 61 500
c. 60 500
Okay this is what I did.
First I compute PMT considering 9 years because 1st year is not amortized:
N 9, I/Y 10, PV 120 000, PMT 20 836.86, then in the end of the 6th year the balance that will be prepaid is
N 4, I/Y 10, PMT 20 836.86, PV 66050 (the prepayment)
I considered N 10 as well, and I got PV 61 905.69 (the prepayment)
But there is no that answer.
Am I missing smth?