Answer:
1. In option (a), the dealer would charge $18,213.54.
b. In present value terms, the one-time payment (option (b) is a better deal for the purchaser.
Explanation:
a) Data and Calculations:
Monthly payment for a used car = $620
Payment period = 20 months
Additional payment at the end of 20 months = $12,000
Annual interest rate = 24%
One-time payment for the car purchase = $16,864
From an online financial calculator, the present value of the payments is:
N (# of periods) 20
I/Y (Interest per year) 24
PMT (Periodic Payment) 620
FV (Future Value) 12000
Results
PV = $18,213.54
Sum of all periodic payments = $12,400.00
Total Interest = $6,186.46
