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Loan payment

Calculate the fixed monthly payment, total interest and total cost of an amortizing loan.

Five planning modes, one calculator topic

These modes share an underlying model, not five unrelated formulas.

Your numbers

$
%
Term measured in

Monthly payment

$557.74

60 payments

Amount borrowed
$28,000
Total interest
$5,465
Total of payments
$33,465
YearPrincipalInterestRemaining
1$4,821$1,872$23,179
2$5,182$1,511$17,997
3$5,571$1,122$12,426
4$5,988$704$6,437
5$6,437$256$0

How this is calculated

payment = P x i / (1 - (1 + i)^-n)
i = APR / 12, n = months; if i = 0, payment = P / n
  1. 1Monthly rate is the annual rate divided by 12.
  2. 2The standard amortization formula gives a fixed payment that pays the loan to zero in n months.
  3. 3Each month interest is charged on the remaining balance; the rest of the payment reduces principal.

Assumptions and limits

  • Fixed rate, fixed payment, no fees rolled in.
  • APR treated as the note rate; origination fees would raise the true cost.
  • No early or extra payments.

Practical guide

Understanding loan payment

Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated

What this calculation is for

A loan-payment calculation connects principal, APR and repayment term to a scheduled payment. It helps compare financing offers without treating a lower monthly payment as automatically cheaper. A longer term can reduce the payment while increasing lifetime interest.

How the method works

The model uses fixed-rate amortization: payment equals principal times the periodic rate divided by one minus the discount factor for all payments. At zero interest, principal is divided by payment count. Detailed tools simulate additional principal payments and show the remaining balance.

A worked example

A $12,000 loan repaid over 12 months at 0% requires $1,000 of principal each month. At a positive APR, the payment is higher. An extra payment should reduce principal, not merely prepay the next bill.

Assumptions and real-world differences

Real lenders can use daily interest, different fee treatment, irregular first periods or prepayment rules. Financed origination fees and separately paid annual fees are labeled differently. A loan budget is a comparison value, not a change to the contractual payment.

Frequently asked questions

Does APR always equal the note rate?
No. Disclosed APR can reflect certain fees; verify the contract’s interest and fee definitions.
Why does extra principal save interest?
It reduces the balance on which later interest is calculated. Check that your lender applies it to principal.

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