This type of agreement transfers the obligations of one party under a contract to another party. It allows one party to "assume" the rights and responsibilities of the other party.Mortgage assumption allows a buyer to take on the original loan balance at the original terms, but it doesn't account for any home equity the seller has built. Loan assumption is a process where the buyer of a property takes over, or "assumes," the mortgage loan as well as the property of the seller. An assumable mortgage is one that allows a different party to take over the alreadyexisting loan obligations a previous homeowner.