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Amortization Calculator

Creator

Syeda Kinza Batool, Co-founder

Reviewer

Ashna Bashir, AI/ML Engineer
Updated
Loan term

This amortization calculator doubles as a loan payment calculator: it works out the monthly payment on a fixed-rate loan from its amount, term and interest rate, then breaks every payment into the principal and interest it covers, month by month, down to a zero balance. Enter a loan amount, a term in years and months, and a rate, press Calculate, and the payment, the totals, and the full schedule appear below.

Add extra payments, monthly, yearly, or a single one-time amount, then press Calculate again, and the schedule shows how much sooner the loan is paid off and how much interest that saves, which is what makes this a loan calculator with extra payments rather than just a plain monthly payment calculator. Nothing you type is uploaded anywhere; every figure is computed in your own browser.

What is amortization?

Amortization means two related things. On a loan, it is the process of paying down a balance over time through a series of fixed payments, each one covering that period’s interest first and putting the remainder against the principal. In business accounting, the same word describes spreading the cost of an expensive, long-lived asset, or certain intangible assets, across the periods it is used, rather than expensing all of it at once.

M = P (r (1 + r)^n)/((1 + r)^n - 1)

where:

M
Monthly payment
P
Principal (loan amount)
r
Monthly interest rate (annual rate ÷ 12)
n
Number of monthly payments (term in months)

Worked example. A loan amount of 200,000, a 15-year term (180 months), and a 6% annual rate. The monthly payment on a 200,000 loan over a 15-year term (180 months) at a 6% annual rate is 1,687.71, unchanged for all 180 months. Over the full term that adds up to 303,787.80 paid in total, of which 103,787.80 is interest and the remaining 200,000 is the original amount borrowed. Early payments are mostly interest, since interest is charged on whatever balance remains, and by the final month only 8.40 of the 1,687.71 payment is interest, with the rest paying off the last of the principal.

Paying off a loan over time with the amortization calculator

Mortgages, car loans, personal loans and student loans are all amortized: every payment blends principal and interest, and the interest portion shrinks as the balance shrinks, since it is calculated on what is still owed rather than on what was originally borrowed. A fixed monthly payment on an amortized loan buys more and more principal each month, even though the payment itself never changes.

Credit cards work differently. A card balance is revolving debt, not an amortized loan: there is no fixed schedule and no set number of payments, interest accrues on whatever balance carries over, and the minimum payment is a small percentage of that balance rather than a fixed instalment sized to clear it by a set date. The site’s own credit card calculator works out how long a revolving balance actually takes to clear at a chosen payment. Interest-only loans and balloon loans are two further exceptions: an interest-only loan charges no principal at all during an initial period, and a balloon loan makes small payments throughout its term before one large final payment clears what is left, so neither fully amortizes across its own term the way this calculator’s schedule does.

Two things change how much interest an amortized loan costs in total: the rate and the term. A longer term lowers the monthly payment by spreading the same principal over more payments, but it also means more months during which interest can accrue, so total interest paid is usually higher over a 30-year term than over a 15-year term at the same rate. Extra payments, the feature above the calculator, work in the opposite direction: every extra dollar reduces the principal immediately, which lowers the interest charged in every month afterward, so even a modest recurring extra payment can cut years off a long-term loan.

The amortization schedule, and what it leaves out

The table above, sometimes called an amortization table rather than a schedule, lists every payment across the loan’s life, split into the interest and principal each one covers, alongside the balance still owed after it. Balances fall fastest late in the schedule, since less of each payment is being absorbed by interest by then, the same pattern the worked example above shows between its first and final month. The same underlying loan amortization calculator math applies whether the loan behind it is a mortgage, a personal loan, or the plain loan this page defaults to; a mortgage amortization schedule is only a fixed-rate loan schedule with a larger principal and a longer term.

A basic amortization schedule like this one assumes a fixed rate for the whole term. It does not fit an adjustable-rate mortgage, a variable-rate loan, or a line of credit, since the payment on any of those can change whenever the rate does, which breaks the fixed-payment assumption the whole schedule is built on. By default the schedule also assumes no extra payments and no additional fees; use the extra-payments checkbox above the calculator to see how a monthly, yearly, or one-time extra payment changes the payoff date and the total interest.

The schedule table above can be read as an annual total, one row per year, or expanded to a full monthly breakdown using the toggle at its top. Alongside it, a principal-versus-interest chart shows how much of every payment made so far went to each, and a balance chart plots the loan’s remaining balance from the first payment to the last, the fastest way to see visually how much sooner a schedule with extra payments reaches zero than the standard one.

Amortization schedule types: monthly, annual and special loans

The calculator builds a monthly amortization schedule, one row per payment, and its balance chart rolls the same rows up into years. An annual amortization schedule carries identical totals in 30 rows instead of 360, which is easier to scan on a long loan. What changes from loan to loan is the shape. A 30 year mortgage amortization schedule spends its early years mostly on interest, a 15 year mortgage amortization schedule trades a higher payment for far less total interest, and a car loan amortization schedule is short enough that the balance falls quickly from the start.

Some loans break the standard pattern. An interest only amortization schedule keeps the balance flat until the interest-only period ends, a balloon payment amortization calculator sizes the payments for a long term and then leaves a lump sum due at the end, and a bi-weekly amortization calculator accounts for 26 half-payments a year, which equals 13 full monthly payments. Negative amortization is the odd case where the payment is smaller than the month's interest, so the balance grows instead of shrinking.

Spreading costs: depreciation and intangible assets

The accounting sense of amortization covers two different kinds of asset. Physical assets like machinery, vehicles and buildings are spread over their useful life as depreciation instead; the site’s own depreciation calculator works out a straight-line or declining-balance schedule for exactly that.

Intangible assets follow a separate set of rules under Section 197 of the US tax code, which lists what can be amortized this way: goodwill, going-concern value, workforce in place, business books and records or operating systems, patents, copyrights, formulas, processes, designs and know-how, customer-based and supplier-based intangibles, government-issued licenses and permits, covenants not to compete, and franchises, trademarks and trade names, along with contracts for the use of any of the above. Not everything intangible qualifies: some indefinite-life or self-created intangibles, goodwill in particular, may not be legally amortizable for tax purposes, and Section 197 specifically excludes interests in businesses, contracts or land, most computer software, intangibles not acquired as part of a business, existing lease or sublease interests, residential mortgage servicing rights unless acquired with a business, and certain transaction costs.

Amortizing startup costs

Costs a US business incurs while investigating or creating an active trade or business, before that business actually opens, are startup costs, and they can only be deducted and amortized under specific conditions. The cost has to be incurred before the business becomes active: consulting fees, financial analysis of a potential acquisition, advertising run before opening, and wages paid to employees before the business starts operating are common examples. The IRS requires these initial startup costs to be amortized rather than deducted in a single year, spreading their tax effect across the same kind of schedule this calculator builds for a loan, just applied to a cost instead of a debt. Under Section 195, a business can typically deduct up to 5,000 of startup costs in its first year, a limit that phases out once total costs exceed 50,000, with whatever is not deducted immediately amortized over 180 months (15 years) instead. Confirm the current thresholds before filing, since figures like these are periodically adjusted.

Frequently asked questions

What is the difference between amortization and depreciation?

They describe the same idea, spreading a cost over time, applied to different things. Amortization is the term used for loans and for intangible assets such as patents or goodwill. Depreciation is the term used for tangible, physical assets such as vehicles, machinery and buildings. The site’s own depreciation calculator handles the physical-asset case with a straight-line or declining-balance schedule.

Does this calculator work for adjustable-rate or interest-only loans?

No. This is a fixed-rate schedule: the same rate and the same calculated payment apply for the whole term. An adjustable-rate mortgage, a variable-rate loan or a line of credit can have its payment change whenever the rate changes, and an interest-only loan charges no principal during its interest-only period, so neither fits the fixed, fully amortizing schedule this calculator builds.

Why is a credit card balance not amortized?

Because a credit card is revolving debt rather than an instalment loan. There is no fixed number of payments and no schedule that guarantees the balance reaches zero by a set date. Interest accrues on whatever is carried over, and the minimum payment is a percentage of the balance, not a fixed instalment sized to clear it. The credit card calculator works out how long a revolving balance actually takes to pay off at a chosen payment.

How do extra payments change my amortization schedule?

An extra payment goes straight to principal on top of the regular payment, so it reduces the balance interest is charged on for every month afterward. The standard monthly payment itself never changes. What changes is how many payments it takes to reach zero and how much total interest is paid along the way. The calculator above supports a recurring monthly extra amount, a recurring yearly amount, and a single one-time amount, and any combination of the three can be used together. Because of that, this page works as a loan payoff calculator too: change the extra payment fields and watch the projected loan payoff date and total interest below move together.

Can I amortize goodwill or other self-created intangible assets?

Not always. Most purchased Section 197 intangibles, including goodwill acquired as part of buying a business, are amortized over 15 years for tax purposes. Goodwill a business builds up itself, rather than buys, generally is not amortizable the same way, since it has no cost basis to spread. Confirm the specific treatment with a tax professional or the current IRS guidance before relying on this for a real return.

What business startup costs can I amortize?

Costs incurred while investigating or setting up an active business, before it opens, such as consulting fees, financial analysis of a potential acquisition, pre-opening advertising, and wages paid to employees before the business starts operating. The costs have to be incurred before the business becomes active, and the IRS requires them to be amortized rather than deducted all at once.

How is the monthly payment on this calculator worked out?

From the loan amount, the monthly interest rate (the annual rate divided by 12), and the number of months in the term, using the standard fixed-rate amortization formula. Every month’s payment stays the same. What shifts is the split between interest, calculated on the balance still owed, and principal, which absorbs the rest. The worked example above shows that split at the start and the end of a real 180-month schedule.

How to calculate amortization by hand?

Convert the annual rate to a monthly rate, then use the payment formula M = P x r x (1 + r)^n / ((1 + r)^n - 1). For each month, interest is the balance times the monthly rate, principal is the payment minus the interest, and the new balance is the old balance minus the principal. That is how to calculate loan amortization for any fixed-rate loan; the amortization formula only has to be solved once, for the payment.

How to make an amortization schedule in Excel or Google Sheets?

Use =PMT(rate/12, months, -loan) for the payment, then for each row use =IPMT for the interest and =PPMT for the principal, and subtract the principal from the previous balance. Building an amortization schedule excel sheet this way takes a few minutes; this calculator gives the same table without setup and shows the effect of extra payments.

Does paying extra principal shorten the loan term?

Yes. Extra principal lowers the balance immediately, so every later month's interest is smaller and the same regular payment clears the balance sooner. Use the amortization calculator with extra payments option above to see the months saved and the interest avoided.

What is a fully amortizing loan?

A loan whose regular payments pay off the whole balance by the last payment, with no balloon left over. A standard fixed-rate mortgage, a car loan and most personal loans are fully amortizing; an interest-only or balloon loan is not.

Is this a free amortization calculator, and can it work as a mortgage amortization calculator?

Yes to both. It is free, it needs no sign-up, and it works for any fixed-rate loan, so it doubles as a mortgage amortization calculator, a loan amortization calculator and an amortization schedule calculator for car, personal and student loans.

What is an amortization schedule and how do I read one?

An amortization schedule is a table of every payment split into interest and principal, with the balance left after each one. Read down the interest column to see it shrink and down the principal column to see it grow; the last row should end at a zero balance.

Amortizing a car purchase specifically, with a trade-in and sales tax in the mix? The auto loan calculator adds those fields on top of the same schedule. For the general case without a business or a car involved, the loan calculator covers any plain principal, rate and term. Only need the headline payment and totals rather than the full schedule above, or want to work out how many months a chosen payment takes to clear a balance? The payment calculator answers both with a leaner, single-result view. The full mechanics of how a schedule behaves over time, including a 15-year against a 30-year comparison, are in how amortization schedules work.

Related tools: Mortgage Calculator, Auto Loan Calculator and Interest Calculator. More are grouped under Financial Calculators, and every tool on the site is listed at all calculators.