The Mathematics of Money

(Darren Dugan) #1

446 Chapter 10 Consumer Mathematics


E. Qualifying for a Mortgage



  1. True or false: If you pass both the 28% and 36% tests, you qualify for the loan.

  2. True of false: If you pass either the 28% or the 36% test and meet all other qualifi cation requirements (credit,
    employment history, etc.), you qualify for the loan.

  3. True or false: Every mortgage lender uses the 28% and 36% tests.

  4. True or false: If you qualify for a mortgage loan, that means you can comfortably afford the house payments.

  5. Lilianna makes $45,000 per year. She wants to buy a house on which the total monthly PITI would be $1,297.55. Her
    only other long-term debt payments are for a car loan on which the monthly payment is $255.19. Does she pass the
    28% test? Does she pass the 36% test? Assuming that everything else with her application is acceptable, would she
    qualify for the loan?

  6. The Sumners earn a combined annual income of $89,700. Would they pass the 28% test for a property for which the
    monthly PITI would be $1,799.23? If their total additional long-term debt payments total $855.92, would they pass the
    36% test?

  7. If Aaron and Cienna from Exercise 13 have a combined annual income of $82,500, would they pass the 28% test? If
    their long-term debt payments total $355.99, would they pass the 36% test? Assuming everything else is OK, would
    they qualify for the mortgage?

  8. Bruce and Elena earn a combined $57,840 per year. They have two car loans, both of which have more than a year left
    to go, with payments totaling $464.25. They have student loan payments totaling $122.75, and they have 6 months
    left to pay on a loan for some furniture on which the payment is $125 monthly. The minimum monthly payments on
    their credit cards total $80.


They want to buy a house for $117,300. They plan to make a 5% down payment, and fi nance the rest with a 30-year
fi xed-rate mortgage at 7.3%. Property taxes amount to $1,856 per year, and homeowners’ insurance premiums are
$762 annually. PMI would be $47 a month.


They have applied for a mortgage with a lender that uses the 28% and 36% tests.


a. Calculate their PITI for this loan.
b. Calculate 28% of their monthly gross income. Do they pass the 28% test?
c. Calculate their total monthly long-term debt payments, and calculate 36% of their monthly gross income. Do they
pass the 36% test?
d. Assuming everything else is OK, would they get the mortgage loan?

F. Up-Front Expenses



  1. Herb wants to buy a house for $192,800. He is planning on making a 5% down payment, and closing costs will amount
    to $3,170. Annual property taxes are $5,155 and annual homeowners’ insurance premiums will total $1,250. How
    much money will he need up front?

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