In: Finance
You have decided to buy a car that costs $24,600. Since you do not have a big down payment, the lender offers you a loan with an APR of 5.95 percent compounded monthly for 6 years with the first monthly payment due today. What is the amount of your loan payment?
Number of periods = 6 * 12 = 72
Rate = 5.95% / 12 = 0.495833%
Present value = (1 + r) * Annuity * [1 - 1 / (1 + r)n] / r
24,600 = (1 + 0.00495833) * Annuity * [1 - 1 / (1 + 0.00495833)72] / 0.00495833
24,600 = 1.00495833 * Annuity * [1 - 0.70039] / 0.00495833
24,600 = 1.00495833 * Annuity * 60.425538
24,600 = Annuity * 60.725148
Annuity = 405.10
Amount of loan is $405.10