Conventional loans that have a ARM (Adjustable Rate Mortgage) are assumable. Conventional loans that have a Fixed Rate includes a due on sale clause which requires the balance to be paid in full when the property is sold. Fixed rate loans follow the strictest guidelines for eligibility and are not assumable. Even if it is not assumable homeowners who have a Conventional mortgage can post their home if they are interested in offering a Contract For Deed option. Interested buyers will need to eventually establish their own financing. There is plenty of information for research online about this option. Here is a place to start