You want to buy a car that costs $$43,000.$ The car dealer offers to finance the purchase with a $8$ year loan that has an interest rate of $4\%$ APR $($quarterly compounding$)$ with the first payment occurring one period from now. What is the quarterly payment on this car loan?

$$1,576\mathrm{.}85$

$$6,386\mathrm{.}70$

$$2,405\mathrm{.}79$

$$5,619\mathrm{.}68$