When is ownership transferred?

When paid in full, a loan terminates and you assume ownership. Your bank sends you the title that had been held while the loan maintained an outstanding balance. When a lease period ends you forfeit the vehicle to the lessor, unless the lessor offers to sell the vehicle afterwards. During the entire lease period the lessor maintains ownership and simply allows you to use the car. Ownership is only transferred if you chose to buy the vehicle after the lease terminates.