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New car price was negotiated as a “cash deal”.  Will the price change if I finance instead?
Yes, he can retract the offer - it was a cash-only offer, and if you're financing, it's no longer "cash". Unless, of course, you get the financing through your local bank / credit union, and they hand you a check (like on a personal loan). Then it's still cash. However, the salesman can still retract the offer unless it's in writing because you haven't signed anything yet. The price of financing will always be higher because the dealer doesn't get all their money today. Also, if you finance, you are not paying just the cost of the vehicle, you are paying interest, so your final cost will be higher (unless you were one of the lucky souls who got 0% financing atop employee pricing, and therefore are actually saving money by having a payment).