Suppose you want to purchase a home for $425,000 with a 30-year
mortgage at 5.54% interest. Suppose also that you can put down 25%.
What are the monthly payments? (Round your answer to the nearest
cent.)
$
What is the total amount paid for principal and interest? (Round
your answer to the nearest cent) $
What is the amount saved if this home is financed for 15 years
instead of for 30 years? $
Using financial calculator
Input: Loan amount =PV = 425000*75% = 318750
N = 30*12 = 360
I/Y = 5.54/12
Solve for PMT as -1817.84. Hence the monthly payment = $1817.84
Total amount paid = monthly payment * 360 = 1817.84*360
=$ 654422.40
If the house is finance for 15 years,
Using financial calculator
Input: Loan amount =PV = 425000*75% = 318750
N = 15*12 = 180
I/Y = 5.54/12
Solve for PMT as -2611.22. Hence the monthly payment = $2611.22
Total amount paid = monthly payment * 180 = 2611.22*180
=$ 470020.37
Amount saved = 654422.40 - 470020.37
= $184402.03
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