It allows one party to "assume" the rights and responsibilities of the other party. In a deed of trust to secure assumption, another person assumes the note already in place, guaranteeing payment to the grantor in the deed.This Addendum is used when the Buyer is assuming Seller's existing loan. 41-3 Redline 11.2022. Edit, sign, and share assumption agreement online. No need to install software, just go to DocHub, and sign up instantly and for free. Use this lease assumption agreement template to create a document that allows you to transfer your lease to someone else legally and easily. THIS AGREEMENT (hereinafter referred to as the "Texas Lease Agreement") is made and entered into this ____ day of.