Judy has $2,000 for a down payment on a vehicle, and she can afford monthly payments of $400. If enders are currently offering 6% interest on 5-year loans, what is the maximum price Judy can pay for a vehicle? (Show all work.)
Judy has $2,000 for a down payment on a vehicle, and she can afford monthly payments of $400. If enders are currently offering 6% interest on 5-year loans, what is the maximum price Judy can pay for a vehicle? (Show all work.)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Judy has $2,000 for a down payment
Expert Solution
Step 1
The maximum amount Judy can pay for the vehicle is the sum of downpayment and car loan.
Given the monthly payments, we can determine the value of the car loan using the PV of ordinary annuity formula as below:
Where PMT = monthly payment = 400
r = monthly interest rate = 6%/12 = 0.005
n = time period of the loan in months = 5 years x 12 = 60
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