The price of a car you are interested in buying is $93.65k. You negotiate a 6-year loan, with no money down and no monthly payments during the first year. After the first year, you will pay $1.26k per month for the following 5 years, with a balloon payment at the end to cover the remaining principal on the loan. The annual percentage rate (APR) on the loan with monthly compounding is 5%. What will be the amount of the balloon payment 6 years from now?

Note: The term k is used to represent thousands ( $1,000).

Required: Suppose the loan has initially been paid in full (without a balance due at maturity), the amount would have totaled $37k. Calculate the absolute percentage difference between the fully amortized loan and the balloon payment.