Get to grips with assumption agreements. This simple guide explains their purpose, key elements, and how they affect your business dealings.How PrintFriendly Works. Explore the essentials of assumption agreements, crucial contract clauses, to understand transfers of obligations efficiently and safeguard your interests. A loan assumption agreement allows them to understand what is expected from them and ensures that they are aware of their rights and legal responsibilities. Use this lease assumption agreement template to create a document that allows you to transfer your lease to someone else legally and easily. Thinking of taking on a mortgage from a family member? Then you'll likely look into a mortgage assumption agreement.