You are planning to purchase a house that will require a mortgage of $400,000.  You find 2 mortgage offers both at the same rate of 2.75%.  One is a 30-year mortgage and the other is a 20-year mortgage.    You know, without any computation, that the 30-year mortgage will have lower monthly payments than the 20-year mortgage since the rates are the same.  A friend advised that before taking the 30-year mortgage offer, you do some mathematical calculations to see if your budget can handle the extra amount of monthly payment for the 20-year mortgage.    What is the difference in the monthly payment?  Be sure to show all of your 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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You are planning to purchase a house that will require a mortgage of $400,000. 

You find 2 mortgage offers both at the same rate of 2.75%.  One is a 30-year mortgage and the other is a 20-year mortgage. 

 

  1. You know, without any computation, that the 30-year mortgage will have lower monthly payments than the 20-year mortgage since the rates are the same.  A friend advised that before taking the 30-year mortgage offer, you do some mathematical calculations to see if your budget can handle the extra amount of monthly payment for the 20-year mortgage. 

 

What is the difference in the monthly payment?  Be sure to show all of your work. 

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