In: Finance
Jacinda Herschel wants to buy a car and determines she can afford to pay $403.62 a month for a 3 year loan. The rate on such a loan is 0.0321. How much money can Jacinda borrow?
Number of periods = 3 * 12 = 36
Monthly rate = 0.0321 / 12 = 0.002675
Present value = payments * [1 - 1 / (1 + r)^n] / r
Present value = 403.62 * [1 - 1 / (1 + 0.002675)^36] / 0.002675
Present value = 403.62 * [1 - 0.908308] / 0.002675
Present value = 403.62 * 34.277274
Present value = $13,834.99
She can borrow $13,834.99