Suppose you take a 10-year mortgage for a house that costs $252,923. Assume the following: The annual interest rate on the mortgage is 3.1%. The bank requires a minimum down payment of 10% of the cost of the house.

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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Suppose you take a 10-year mortgage for a house that costs $252,923. Assume the following:

  • The annual interest rate on the mortgage is 3.1%.
  • The bank requires a minimum down payment of 10% of the cost of the house.
  • The annual property tax is 1.4% of the cost of the house.
  • The annual homeowner's insurance is $891.
  • The monthly PMI is $91.
  • Your other long-term debts require payments of $1,782 per month.

If you make the minimum down payment, what is the minimum gross monthly salary you must earn in order to satisfy the 36% rule?

Round your answer to the nearest dollar. 

 
Expert Solution
Step 1

mortgage amount =252923

Down payment =10%

Down payment =25292.30

mortgage amount =252923-25292.30

mortgage amount =227630.70

interest rate =3.1% Annual interest rate 

Period =10 years 

Present value FACTOR =1-(1+r)-n/r

Present value FACTOR =1-(1.031)-10/0.031

Present value FACTOR =8.48

Loan amount =Annual payment x present value FACTOR 

227630.70=8.48 x Annual payment 

Annual payment=26623.47

monthly payment =$2218.62

 

Step 2

Annual property tax =1.4%

Annual property tax =0.014 x 252923

Annual property tax =3540.92

monthly payment  tax=295.076

Home insurance monthly=74.25

monthly PMI=91

other loan payments monthly =1782

Total monthly payments for all laibilties =2218.62+295.076+74.25+91+1782=4460.94

Total monthly laibilties =4460.94

 

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