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OP, you need to tell us all the pertinent facts if you want us to help you.
If this is not a true current year vehicle (e.g., a leftover 2014 or 2015 model, for example, or a vehicle that's been in an accident in transport), you wouldn't get the published money factor or residual for the 2016 model. In order for your payment to be that much different from their payment, the residual might be getting reduced by the amount of discount (or the underlying event/condition). Again, without facts, it's not possible to figure this out.
Google "Edmunds prices paid 2016 lease [manufacturer] [model]" You will find a wonderful Edmunds forum where the mods will tell you exactly how much the published base money factor and residuals are for the mileage per year.
If I were you, I would tell the salesman that you are ready to sign the lease so please print a copy to take home so that you can talk to the wife about it. The actual agreement (not a "binder") would have to spell out everything. Then you can see exactly what they are doing.
I'm curious as to what kind of car you are thinking about leasing, maybe we can give better info if we know....
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