Suppose that you decide to buy a car for $$57,000,$ including taxes and license fees. You saved $$11,000$ for a down payment. The dealer is offering you a choice between two incentives. Incentive A is $$5000$ off the price of the car, followed by a three$-$year loan at $6\mathrm{.}77\%.$

Incentive B does not have a cash rebate, but provides free financing $($no interest$)$ over three years.

What is the difference in monthly payments between the two offers? Which incentive is the better deal? Use PMT $=\frac{P(\frac{r}{n})}{[1-(1+\frac{r}{n}{)}^{-nt}]}.$