The Martinezes are planning to refinance their home. The outstanding balance on their original loan is $175,000. Their finance company has offered them two options. (Assume there are no additional inance charges. Round your answers to the nearest cent.) Option A: A fixed-rate mortgage at an interest rate of 5.5% / year compounded monthly, payable over a 30-year period in 360 equal monthly installments. Option B: A fixed-rate mortgage at an interest rate of 5.25% / year compounded monthly, payable over a 15-year period in 180 equal monthly installments. (a) Find the monthly payment required to amortize each of these loans over the life of the loan. option A $ option B $ (b) How much interest would the Martinezes save f they chose the 15-year mortgage instead of the 30-year mortgage? $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Martinezes are planning to refinance their home. The outstanding balance on their original loan is $175,000. Their finance company has offered them two options. (Assume there are no additional
finance charges. Round your answers to the nearest cent.)
Option A: A fixed-rate mortgage at an interest rate of 5.5%/year compounded monthly, payable over a 30-year period in 360 equal monthly installments.
Option B: A fixed-rate mortgage at an interest rate of 5.25%/year compounded monthly, payable over a 15-year period in 180 equal monthly installments.
(a) Find the monthly payment required to amortize each of these loans over the life of the loan.
option A
option B
(b) How much interest would the Martinezes save if they chose the 15-year mortgage instead of the 30-year mortgage?
$
LA
Transcribed Image Text:The Martinezes are planning to refinance their home. The outstanding balance on their original loan is $175,000. Their finance company has offered them two options. (Assume there are no additional finance charges. Round your answers to the nearest cent.) Option A: A fixed-rate mortgage at an interest rate of 5.5%/year compounded monthly, payable over a 30-year period in 360 equal monthly installments. Option B: A fixed-rate mortgage at an interest rate of 5.25%/year compounded monthly, payable over a 15-year period in 180 equal monthly installments. (a) Find the monthly payment required to amortize each of these loans over the life of the loan. option A option B (b) How much interest would the Martinezes save if they chose the 15-year mortgage instead of the 30-year mortgage? $ LA
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