# Math - Accounting

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Consider a home mortgage of 125,000 at a fixed APR of 9% for 30 years.
- calculate the monthly payment
- determine the total amount paid over the term of the loan
- Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Q: what is the monthly payment
Q: The total payment over the term of the loan is:
Q: Of the total payment over the term of the loan ___% is paid toward the principal and ___% is paid toward interest.

• Math - Accounting -

Assumption on 9%
I will assume that the rate is 9% per annum, compounded monthly, so ...
i = .09/12 = .0075
n = 30(12) = 360
Paym= ?

125000 = paym( 1 - 1.0075^-360)/.0075
find paym.

"The total payment over the term of the loan is"
I suppose they want you to multiply the payment by 360.
This is an invalid calculation, since you can't just add up amounts of money that are not on the same spot on a time graph.
But that is the answer they probably expect, so multiply your payment by 360

"Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest. "
I have the same problem with that question. I suspect they want you to subtract the following:
360(payment) - 125000 , giving you the interest

A totally invalid calculation for the same reason as before.

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