I recently did so using a "one payment lease" using a NMAC SignatureONE lease form, thinking that by using the largest possible down payment and its special low sub-"tier 0" .00188 money factor (because there is no risk that I could default on future payments) I would reduce the finance charges to a minimum. Only problem is I was only told at signing that that lease's rules forbid ANY Capitalized Cost Reduction other than a trade-in, i.e. no $7500 Federal tax refund, no $2500 TN state rebate, and most definitely no user cash! I STRONGLY suggest no one consider using this "one payment lease" (even if you otherwise have to pay the highest tier interest rate -- I doubt it is a better deal).
If you feel you want to pay the lowest finance charge possible, use the normal NMAC SignatureLEASE lease form where the only Capitalized Cost Reduction restriction I am aware of is the following: "Capitalized cost reductions on the SignatureLEASE Lease Plan cannot reduce the adjusted capitalized cost to an amount less than the residual value plus $100.00.". If you make the maximum Capitalized Cost Reduction you will be left with a monthly payment which is paying off over the lease term the total of 1) only $100 of depreciation, 2) the finance charges for the residual + ($100/2) = ((Residual Value + $100) + Residual Value) * (money factor) * (Number of Lease Payments), and 3) the state tax on 1) and 2).
Realize that you may very well be better off financially if you are alternatively able to invest this sizable cash down payment money in an account that pays an interest rate (deducting income taxes) close to or better than the lease interest rate, and make automatic monthly payments to NMAC...
Consider also the (probably small) risk of a high cash down payment should the car be either stolen or totaled early in the lease term -- no refund of that down payment and no car either...