Suppose that you decide to buy a car for $$57,000,$ including taxes and license fees. You saved $$12,000$ for a down payment. The dealer is offering you a choice between two incentives.

Incentive $A$ is $$4000$ off the price of the car, followed by a five$-$year loan at $5\mathrm{.}46\%.$

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

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

The difference in monthly payments between the two offers is $

$($Round to the nearest cent as needed.$)$

Which incentive is the better deal? Choose the correct answer below.

A$.$ Incentive $A$ is the better deal.

B$.$ Incentive B is the better deal.