Answer:
Generally the "unconditionally obligated" references state law. Several states have laws in place that a financial institution must refinance a balloon payment when it comes due under terms no less favorable then the original terms. Indiana, for example, has such a law for loans not secured by a first lien on real estate.
The "obligated with conditions" refers to contract terms. A financial institution may in their contract state if the borrower has less than X payments, and/or other conditions, they will refinance the balloon as long as those conditions in the contract were met.
First published on BankersOnline.com 7/11/11