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
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Judy has $2,000 for a down payment 

Judy has $2,000 for a down payment on a vehicle, and she can afford monthly payments of $400. If
lenders are currently offering 6% interest on 5-year loans, what is the maximum price Judy can pay for a
vehicle? (Show all work.)
Transcribed Image Text:Judy has $2,000 for a down payment on a vehicle, and she can afford monthly payments of $400. If lenders are currently offering 6% interest on 5-year loans, what is the maximum price Judy can pay for a vehicle? (Show all work.)
Expert Solution
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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:

PV= PMT 1-(1+r)-nr

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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