PPolySim OS

Loan / Mortgage Amortization

Your first mortgage payment is almost all interest. See exactly how the principal-and-interest split flips over the life of a loan — and why extra early payments pay off.

Loan / Mortgage AmortizationLive

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A fixed-rate loan has a level monthly payment, but its split shifts over time: early payments are mostly interest, later ones mostly principal. That is why paying extra early, or choosing a shorter term, saves so much interest. Educational tool, not financial advice.

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Data Inspector

Monthly payment$2,212
Total interest$446,406
Total paid$796,406

Governing equation

Reading this result: At 6.50% APR over 30 years, the monthly payment is $2,212 and you pay $446,406 in interest — about 128% of the amount borrowed. The payment is level, but its split shifts: your first payment is mostly interest (86% of it), while the last is almost all principal. A higher rate or a longer term sharply raises the total interest, and paying extra early attacks principal before interest can accrue on it.

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How it works

A fixed-rate loan is repaid with a level monthly payment computed from the amount, rate, and term. Early payments are mostly interest because the balance is largest; as the balance falls, more of each payment goes to principal. The chart shows this crossover and the total interest paid. Educational tool, not financial advice.

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Frequently asked questions

Is this mortgage amortization calculator tool really free?
Yes. Loan / Mortgage Amortization runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.