Answer:
$573,963
Explanation:
First, calculate the present value of the loan payments using the following formula
PVA = PMT x [ ( 1 + r )^n - 1 ] / [ r ( 1 + r )^n)
PVA = $950 x [ ( 1 + 7.1%/12 )^360 - 1] / [ 7.1%/12 ( 1 + 7.1%/12 )^360)
PVA = $141,362.32
Now calculate the difference of Value of loan and the present value of loan payment
Difference = Loan value - PV of loan payment = $210,000 - $141,362.32 = $68,637.68
This te Ballon payment in present value term, We need to determine the value at the end of the loan term.
Hence we need to calculate the future value of this payment as follow
Future value = Present vale x ( 1 + Monthly Interest rate )^numbers of months
Future value = $68,637.68 x ( 1 + 7.1%/12 )^360
Future value = $573,963.09
Future value = $573,963
Hence the ballon Payment will be $573,963
