Suppose that you are thinking about buying a car and have narrowed down your choices to two options.

The new$-$car option: The new car costs $$27,000$ and can be financed with a four$-$year loan at $5\mathrm{.}73\%.$

The used$-$car option: A three$-$year old model of the same car costs $$14,000$ and can be financed with a three$-$year loan at $5\mathrm{.}13\%.$

What is the difference in monthly payments between financing the new car and financing the used car? Use PMT $=\frac{P(\frac{r}{n})}{[1-(1+\frac{r}{n}{)}^{-nt}]}.$

The difference in monthly payments between financing the new car and financing the used car is $

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