Question

You have decided to buy a used car. The dealer has offered you two options: (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.) Pay $620 per month for 20 months and an additional $12,000 at the end of 20 months. The dealer is charging an annual interest rate of 24%. Make a one-time payment of $16,864, due when you purchase the car. 1-a. Determine how much cash the dealer would charge in option (a). (Round your answer to 2 decimal places.) 1-b. In present value terms, which offer is clearly a better deal

Answer 1

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.

Step-by-step 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