I've never heard of any negotiation on the money factor. If the lease is through BMW financial, they set the rate (MF). Negotiation with dealers is on the discount off MSRP, on which the lease is based. To my knowledge, there is no monkeying with the rate. Sounds like they're giving you less discount and using money factor to pretend they're giving you a bigger discount than the final payment indicates.
For example, if the dealer takes 3000 of MSRP when you order your car and quotes you a price based on that month's residual and MF, then the rates and residuals improve by the time the car comes in (if you've crossed into the next month), you get the benefit of the new program, payment goes down and that has zero impact on the dealership's profit, it's just BMW changing their lending rates.
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