Vehicle Payment Plan Agreement. A vehicle payment plan agreement is a contract between a buyer and seller of a vehicle that agrees to installment payments.Create your custom contract with LawDepot's Vehicle Leasing Agreement template. Specify vehicle condition, leasing terms, and payment details clearly with our vehicle lease agreement template. Create your agreement now! 1. Enter the effective date of the lease agreement. This is a closed-end lease. Customize a vehicle depreciation fee, a finance fee, and any relevant sales taxes with this free car lease agreement template. Smooth out car leasing with our Car Lease Agreement Template, covering monthly payments, maintenance, and mileage limits for lessees and lessors. Check out our sample Vehicle Lease Agreement and see what information you'll need to provide to personalize your lease.