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Answer:
$132.93
Step-by-step explanation:
We will use annuity formula, which is:
Where P is the loan amount
C is the monthly payment
r is the rate of interest [monthly]
n is the time period [in months]
Firstly, let's calculate her normal monthly payment (without purchasing points):
P is 105,000
C is what we need to find
r is the 0.045/12 = 0.00375
n is 12*30 = 360
Now, we have:
So <u>monthly payment would be around $532.02</u>
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Now,
With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%
Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.
Now, putting these values into the annuity formula we have:
The <u>monthly payment would be around $399.09</u>
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The amount that is lower is 532.02 - 399.09 = $132.93