Question

Janet Foster bought a computer and printer at Computerland. The printer had a $900 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,060 list price with a 25% trade discount but no cash discount. On the computer, Computerland offered Janet the choice of (1) paying $160 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 8% interest for 18 months in equal payments.
a. Assume Janet could borrow the money for the printer at 8% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.) Janet's savings $
b. On the computer, what is the difference in the final payment between choices 1 and 2? (Round your answer to the nearest cent.) Difference final payment

Answer 1

Answer:

Janet Foster

a. Janet could save $12.44 on the printer by borrowing $800 to take advantage of the cash discount.

b. On the computer, the difference in the final payment between choices 1 and 2 is $197.

It is advisable for Janet to choose the first option.

Explanation:

a) Data and Calculations:

Printer:

List price of printer = $900

Trade discount =          100

Purchase cost =        $800

Cash discount terms = 2/10, n/30

Cash discount = $16 ($800 * 2%)

Interest on loan to purchase printer = $3.56 ($800 * 8% * 20/360)

Savings if loan is borrowed = $12.44 ($16 - $3.56)

Computer:

List price = $4,060

Trade discount = 25% or $1,015 ($4,060 * 25%)

Purchase cost = $3,045

Payment options:

1) = $160 * 17 months = $2,720

Balance on 18th month    325

Total payment =           $3,045

2) = Payment with 8% interest for 18 months equal payment = $180.08

From an online financial calculator:

N (# of periods)  18

I/Y (Interest per year)  8

PV (Present Value)   $3,045

FV (Future Value)  0

P/Y (# of periods per year)  12

C/Y (# of times interest compound per year)  12

PMT made at the end of each period

Results

PMT = $180.08

Sum of all periodic payments $3,241.48

Total Interest $196.48

Difference in final payment:

Choice 1 , total payment =    $3,045

Choice 2, total payment =    $3,242

Difference in final payment = $197