Loan Amortization Calculator

Your exact monthly payment, total interest cost, and a year-by-year schedule showing how each payment splits between principal and interest.

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Monthly payment
Total of all payments
Total interest
Payoff time
Interest as % of loan
PeriodPrincipal paidInterest paidBalance

Fixed-rate, fully amortizing loan. For mortgages, taxes and insurance are not included.

What an amortization schedule tells you

An amortization schedule is the complete payment map of a loan. For every period it shows three numbers: how much of your payment covered interest, how much reduced your principal, and what balance remains. Reading it reveals the two facts most borrowers find surprising:

The amortization formula

Fixed loan payments come from a single formula:

M = P × r ÷ (1 − (1 + r)−n)

where M is the monthly payment, P the principal, r the monthly interest rate (annual ÷ 12), and n the number of payments. Each month, interest equals the current balance × r; whatever is left of your payment reduces principal. This calculator runs that loop month by month and rolls the results up by year.

How to use the schedule to save money

1. Compare loan terms honestly

Run the same amount and rate at 15 vs. 30 years. The 15-year payment is higher, but total interest usually falls by more than half. If the higher payment scares you, remember the hybrid strategy: take the 30-year for safety and pay it like a 15-year using the extra-payment field above.

2. See what a rate difference is really worth

A quarter-point sounds trivial. On $250,000 over 30 years, dropping from 7.00% to 6.75% saves about $15,000 in lifetime interest. That number tells you how many points are worth buying, and whether refinancing fees would pay for themselves.

3. Watch the crossover point

Scan the schedule for the year when principal paid overtakes interest paid. At 7% on a 30-year loan that happens around year 20 with no extra payments — and years earlier with even a modest extra payment. If you're deciding whether to prepay your mortgage, that crossover shows why early extra dollars matter most.

Which loans amortize this way?

Fixed-rate mortgages, auto loans, personal loans, and most student loans all follow this schedule. Credit cards do not — they have no fixed term, and minimum payments are recalculated monthly (see our credit card payoff calculator for that math). Adjustable-rate mortgages amortize too, but the schedule resets each time the rate adjusts.

Frequently asked questions

What is loan amortization?
Amortization is paying off a loan with fixed, scheduled payments covering both interest and principal. Each payment first covers that month's interest; the remainder reduces principal. As the balance shrinks, the interest portion falls and the principal portion grows.
Why is most of my early payment interest?
Interest is charged on the outstanding balance, which is largest at the start. On a $250,000 loan at 7%, the first month's interest is about $1,458 of a $1,663 payment. As the balance falls, later payments become mostly principal.
What's the difference between APR and interest rate?
The interest rate determines your monthly payment. APR adds certain upfront costs (origination fees, points) spread over the term, making it the better number for comparing loan offers.
Does a shorter loan term always save money?
Shorter terms cut total interest sharply but raise the required payment. A 15-year mortgage more than halves lifetime interest versus a 30-year, at roughly 50% higher payments. You can also keep the 30-year term and voluntarily pay on a 15-year schedule.