Edit, sign, and share Assignment of Lease and Rent from Borrower to Lender - Ohio online. Effective: January 30, 2014.A legal document that gives a mortgage lender right to any future profits that may come from leases and rents when a property owner defaults on their loan. This assignment allows the new lender to enforce the terms of the deed of trust, collect payments, and take action in case of default. Typically, an Assignment of Deed of Trust is recorded in the county recorder's office where the property is located. In general, I agree with the prior answer. However, a deed of trust is recorded (not filed) in the county recorder's office. (1) The tenant is in default in the payment of rent;. Fill in the blank form formatted to comply with all recording and content requirements. The specific warranties are set out in the Selling Guide.