Of course it is negotiable! With poor credit your bargaining power is reduced. I would pick a model of car and shop a couple dealerships and see what offers the best rate.I do financing of heavy trucks and trailers through GE Captial. The rate vary allot depending on down payment, current interest rates, amount financed and credit score. Dealers have power with lenders and they usually mark it up a few points over the lenders approved rate. They also have usually a couple sources of credit; local banks, finance companies or Honda Credit.16% is not really bad, but you should be able to secure a loan in the 12-13% range.
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