ou need a new car and the dealer has offered you a price of $20,000​, with the following payment​ options: (a) pay cash and receive a $2,000 ​rebate, or​ (b) pay a $5,000 down payment and finance the rest with a 0% APR loan over 30 months. But having just quit your job and started an MBA​ program, you are in debt and you expect to be in debt for at least the next 2​ ½ years. You plan to use credit cards to pay your​ expenses; luckily you have one with a low​ (fixed) rate of 14.09% APR. Which payment option is best for​ you?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 15P
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You need a new car and the dealer has offered you a price of $20,000​, with the following payment​ options: (a) pay cash and receive a $2,000 ​rebate, or​ (b) pay a $5,000 down payment and finance the rest with a 0% APR loan over 30 months. But having just quit your job and started an MBA​ program, you are in debt and you expect to be in debt for at least the next 2​ ½ years. You plan to use credit cards to pay your​ expenses; luckily you have one with a low​ (fixed) rate of 14.09% APR. Which payment option is best for​ you?

 

Expert Solution
Step 1

Option A - pay cash and receive a $2000 rebate. Cash to be paid = $20,000 - $2000 = $18,000

Option B- pay $5000  immediately , $500  for 30 months ($20,000 -$5000 = $15000/30= $500)

 

Given,

Credit Card APR=14.09%

Monthly rate = 14.09%/12 = 1.174167%

n=2​ ½ years= 30 months

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