Answer: $337,869.73
Explanation:
Find out the future value of $1,000 given an interest rate of 7.1%. If this amount is less than the future value of $210,000, the difference is added to the final payment to come up with the balloon payment.
The APR needs to be made periodic:
= 7.1% / 12
The $1,000 payment is an annuity so this can be calculated as:
= Annuity * ( ( 1 + rate) ^ number of periods - 1) / rate
= 1,000 * ( ( 1 + 7.1/ 12%) ²⁴⁰ - 1) / 7.1/12%
= $527,297.83
Future value of $210,000
= 210,000 * ( 1 + 7.1/ 12%) ²⁴⁰
= $865,167.56
Balloon payment will be:
= 865,167.56 - 527,297.83
= $337,869.73
