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Mortgage & Loan Amortization Calculator

Compute your monthly loan payment and view a year-by-year amortization graph and a month-by-month transaction schedule.

Loan Summary Results
Monthly Principal & Interest:
$0.00
Total Principal Paid:
$0.00
Total Interest Paid:
$0.00
Total Cost of Loan:
$0.00
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Pmt # Date Payment Principal Interest Total Interest Remaining Bal
Please click 'Calculate Payment' to generate schedule.

How Loan Amortization is Calculated

Loan amortization is the process of breaking down a large debt into regular monthly installments. To compute the exact monthly payment $M$ for a principal loan balance $P$ at a monthly interest rate $i$ over $n$ total monthly periods, we apply this standard mathematical formula:

M = P * [ i * (1 + i)^n ] / [ (1 + i)^n - 1 ]

During the early periods of a mortgage, the majority of your monthly payments go toward paying off interest accrued on the remaining principal. As the years progress and the outstanding balance decreases, an increasing portion of your payment goes directly toward reducing the principal debt, creating the amortization curve.

Frequently Asked Questions (FAQ)

Q: What is the difference between principal and interest?
A: The principal is the raw amount of money you borrowed from the lender. Interest is the additional fee charged by the lender for borrowing that money, calculated as a percentage of the outstanding loan balance.
Q: How does loan length impact interest costs?
A: A shorter term (e.g. 15 years instead of 30) will feature higher monthly payments, but you will pay significantly less in total interest over the life of the loan.
Q: Can I use this calculator for car loans?
A: Yes. The underlying mathematical formulas are identical for home mortgages, auto loans, personal loans, and student loans.