I am looking to finance a new car purchase. The total cost of the car comes out to $18k, and I am able to put up to $10k down. Assuming that my goal is to maximize my credit score in the long run, would it be beneficial to put less down, so that the financed amount is larger? I know that higher credit limit on credit cards generally reflects positively on a credit score; does the same logic apply to auto loans, i.e. higher installment payment = higher credit score?
My goal here is to maximize my credit score, even if it comes at the cost of "wasting" money, so assume for the purposes of this question that the financing is done at 0% APR, and any portion of the $10k that does not get put towards the downpayment does not earn any gains in a savings/trading account.