What an amortization calculator tells you
Amortization is how almost every fixed-rate loan is repaid: you make the same payment every period, and each one is split between the interest owed that period and a chunk of the principal. This calculator turns four numbers — the loan amount, the annual interest rate, the term in years and how often you pay — into the three figures that matter: your payment per period, the total interest over the life of the loan, and the total you will pay in the end. It also generates the full schedule so you can see the balance fall to zero, payment by payment.
How the payment is calculated
A fully-amortising loan uses the reducing-balance method: interest is charged only on the balance you still owe, which shrinks with every payment. The equal payment that exactly clears the loan by the end of the term is fixed by the level-payment (annuity) formula:
A = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ − 1)
where P is the loan amount, r is the periodic interest rate and n is the total number of payments. The periodic rate uses the standard US nominal-rate split — the annual rate divided by the number of payments per year (so 6% a year becomes 0.5% a month, not an effective-rate conversion) — and n = term in years × payments per year. Each period the interest portion is the opening balance times r, and whatever is left of the payment goes to principal.
0% interest: when the rate is zero the formula collapses to A = P ÷ n — the loan amount split evenly across the payments, with no interest at all and every payment 100% principal.
Worked example
A classic 30-year mortgage of $200,000 at 6% a year, paid monthly. Generated by the same engine that powers the calculator above.
| Step | Value |
|---|---|
| Loan amount (P) | $200,000 |
| Interest rate | 6% per year |
| Term | 30 years |
| Payments per year | 12 (monthly) |
| Periodic rate (r = 6% ÷ 12) | 0.5% per month |
| Number of payments (n) | 360 |
| Payment per period (A) | $1,199.10 |
| Total interest | $231,677.04 |
| Total paid | $431,677.04 |
The first payment is almost all interest ($1,000.00 of the $1,199.10 payment), and the principal share grows every month as the balance falls — the hallmark of reducing-balance amortization. The final payment is nudged by a few cents so the balance lands exactly at zero.
Why early payments are mostly interest
Because interest is charged on the outstanding balance, and that balance is largest at the start, your earliest payments are mostly interest with only a thin slice of principal. As the principal slowly comes down, the interest each period falls, so a bigger share of the same fixed payment goes to principal. By the end of the term the relationship has flipped: nearly the entire payment is principal. This is why paying a little extra early in a loan — or choosing a shorter term — saves so much interest.
How payment frequency changes the cost
You can pay monthly, biweekly, weekly, quarterly or annually. Under the nominal-rate split, paying more often divides the annual rate into smaller periodic rates and pays the balance down a little sooner, which trims total interest. The table below holds the loan, rate and term fixed and only changes the frequency:
| Frequency | Payment | Payments | Interest |
|---|---|---|---|
| Annual | $14,529.78 | 30 | $235,894 |
| Quarterly | $3,603.70 | 120 | $232,445 |
| Monthly | $1,199.10 | 360 | $231,677 |
| Biweekly | $553.17 | 780 | $231,464 |
| Weekly | $276.53 | 1560 | $231,370 |
For a $200,000 loan at 6% over 30 years. Under the nominal-rate split, more frequent payments pay the balance down a little sooner, trimming total interest slightly.
How the term changes your payment
Stretching a loan over more years makes each payment smaller, but you owe the balance for longer, so the total interest climbs steeply. A shorter term means a bigger payment but far less interest overall — the single biggest lever on the lifetime cost of a loan, for the same amount and rate:
| Term | Monthly payment | Total interest |
|---|---|---|
| 10 years | $2,220.41 | $66,449 |
| 15 years | $1,687.71 | $103,789 |
| 20 years | $1,432.86 | $143,887 |
| 25 years | $1,288.60 | $186,582 |
| 30 years | $1,199.10 | $231,677 |
For a $200,000 loan at 6% paid monthly. A shorter term means a bigger payment but far less interest over the life of the loan.
What this calculator does not include
To keep the figures honest, the calculator models only the loan itself — principal and interest (P&I). It does not add:
- Property tax, homeowner's or other insurance, and escrow
- Points, origination, processing or other lender fees
- Prepayments, extra payments or rate resets (it assumes a fixed rate)
- Balloon, interest-only or negative-amortization structures
For a true monthly housing cost (PITI), add tax and insurance separately. The model assumes a fixed rate, equal payments and a fully-amortising schedule that reaches zero at the end of the term.
Frequently asked questions
What is loan amortization?+
Amortization is paying off a loan with equal, regular payments so the amount you owe shrinks with each payment. Every payment covers the interest due that period plus a slice of principal, until the balance reaches zero at the end of the term.
How is the amortization payment calculated?+
Using the level-payment formula A = P × r × (1+r)ⁿ ÷ ((1+r)ⁿ − 1), where P is the loan amount, r is the periodic interest rate (annual rate ÷ payments per year ÷ 100), and n is the total number of payments (years × payments per year).
What is an amortization schedule?+
An amortization schedule (or amortization table) is a period-by-period breakdown showing how each payment splits between interest and principal and how the outstanding balance falls to zero. This calculator generates the full table.
Why is most of my early payment interest?+
Interest is charged on the outstanding balance, which is highest at the start. So early payments are mostly interest and only a little principal; as the balance falls, the principal share of each payment grows even though the payment stays the same.
How does the payment frequency affect my loan?+
Paying more often (for example biweekly instead of monthly) splits the same annual rate into smaller periodic rates and can reduce total interest slightly, because the balance is paid down a little sooner each period. This calculator lets you compare monthly, biweekly, weekly, quarterly and annual schedules.
How does the interest rate change the total cost?+
A higher annual rate raises both each payment and the total interest paid over the life of the loan. On a long term like a 30-year mortgage, even a fraction of a percent can add up to thousands in extra interest.
Does a longer term lower my payment?+
Yes. Spreading the loan over more years lowers each payment, but you pay interest for longer, so the total interest is higher. A shorter term means a larger payment but less interest overall.
What happens at 0% interest?+
With no interest the payment is simply the loan amount divided by the number of payments (straight-line principal), and the total interest is zero — every payment is 100% principal.
Why is the final payment slightly different?+
Each payment is rounded to the nearest cent, so tiny rounding differences accumulate. The final payment is adjusted up or down by a few cents so the closing balance lands exactly at zero, which is how real lenders close out a loan.
Does this include taxes, insurance or fees?+
No. This calculator shows only principal and interest (P&I). Mortgages and other loans may add property tax, insurance, escrow, points or processing fees, which are not part of the amortizing payment shown here.
What is the difference between this and an EMI calculator?+
The math is identical — both use the reducing-balance level-payment formula. This Amortization Calculator is the generic, US-style version: you enter the term in years, pick any payment frequency, and it uses generic currency. Our EMI calculator is tailored to Indian loans with a months-based monthly tenure.
Can I use this for a mortgage, auto loan or personal loan?+
Yes. The formula is the same for any fully-amortising fixed-rate loan; only the typical amount, rate and term differ. Enter your figures and the schedule applies whether it is a home, car or personal loan.
When does my payment switch from mostly interest to mostly principal?+
The crossover — sometimes called the tipping point — happens when the interest portion of a payment drops below half the payment amount. Because interest equals the outstanding balance multiplied by the periodic rate, the flip occurs when the balance falls below A ÷ (2 × r), where A is the fixed payment and r is the periodic rate. On a 30-year mortgage at 6% this happens only around the 20-year mark, meaning you spend the first two-thirds of the term paying mostly interest. Choosing a shorter term or making extra principal payments moves that crossover point earlier.
Does making extra payments save interest and shorten my loan?+
Yes. Any extra amount applied directly to principal reduces your outstanding balance, and because interest is charged on that balance each period, every dollar of extra principal cuts every future interest charge by a small amount. Over a long term these savings compound: a modest regular extra payment on a 30-year mortgage can cut years off the term and save tens of thousands in interest. This calculator models a standard schedule; use the full schedule table to see how your balance falls, then recalculate with a shorter term to approximate the effect of consistent overpayments.
Sources
- Consumer Financial Protection Bureau (CFPB) — What is amortization?
- Wikipedia — Amortization calculator (closed form A = P·i(1+i)^n/((1+i)^n−1), and the 0% special case)
- Temple University courseware — loan calculator (per-period interest/principal split)
- Chase — loan amortization (monthly rate = annual ÷ 12; reducing-balance accrual)
Formula and data last reviewed by the TheCalculatorVault team on 26 June 2026. Figures are for general information, not professional advice.
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