Residual values are set by banks and 3rd party data information services such as ALG (Automotive Lease Guide). Generally speaking, you cannot negotiate these rates but you may find that different leasing companies offer slightly different residual values.
It is in your best interest to find the highest residual value offered with the lowest money factor. A high residual will decrease the amount of money you are paying during the life of your lease and leave the liability of the vehicle on the leasing company, not you.
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