Answer: $415,688
Explanation:
First find the future value of paying $1,200 every month for 360 months.
This is the future value of an annuity:
= Payment * ([1 + interest) ^ no. of periods - 1) / interest
Use periodic interest = 5.75%/ 12
30 years * 12 = 360
= 1,200 * ( ( 1 + 5.75%/12)³⁶⁰ - 1) / 5.75% / 12
= $1,149,357.14
Future value of the loan amount is:
= 280,000 * (1 + 5.75% / 12) ³⁶⁰
= $1,565,045.14
Ballon Payment = 1,565,045.14 - 1,149,357.14
= $415,688
