You buy a house for $250,000, make a 20% down payment, and take out at 30-year mortgage at an annual effective interest rate of 4% with level monthly payments except for one slightly reduced final payment. What proportion of your payments in the first 5 years go to interest?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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You buy a house for $250,000, make a 20% down payment, and take out at 30-year mortgage at an annual effective interest rate of 4% with level monthly payments except for one slightly reduced final payment. What proportion of your payments in the first 5 years go to interest?

Expert Solution
Step 1

Here,

House price= $250,000

Down payment= 20%

Effective interest rate= 4%

Step 2

Determine monthly rate.

Monthly rate, r= 4%/12

=0.33%

Determine time period

Time period, n= 30*12

=360 months

Step 3

Determine the value of PVIFA.

Advanced Math homework question answer, step 3, image 1

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