Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan. b. How much will you pay in interest if you pay the minimum monthly payment each month?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan.
b. How much will you pay in interest if you pay the minimum monthly payment each month?
Transcribed Image Text:Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan. b. How much will you pay in interest if you pay the minimum monthly payment each month?
Expert Solution
Step 1

Given that, the loan amount is P=$175,000, interest rate r=4.5%, time n=30 years and due is monthly payment m=12.

Substitute P=$175,000, r=0.045, m=30 and n=12 in PMT=Prm1-1+rm-m×n.

PMT=1750000.045121-1+0.04512-12×30=886.6992886.70

Therefore, the monthly payment is $886.70.

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