Why can the final loan payment differ from the others?
Rounding a payment for display is not the same as rounding every intermediate balance. A small final adjustment can be necessary even when the loan has no interest.
Amortization calculator →Distinguish calculation precision from currency precision
A calculator may retain additional digits internally and round only the numbers displayed on screen. A lender may post interest and payments in the smallest supported currency unit each period. Over many payments these approaches can create a small difference. Multiplying a displayed monthly amount by the number of months therefore does not always reproduce an exact settlement amount.
Try a zero-interest example
Divide a 1,000 loan into three zero-interest payments. Mathematically each payment is 333.333… . If the first two actual payments are 333.33, the last needs to be 333.34 to repay exactly 1,000. Paying 333.33 three times leaves 0.01 unpaid. The adjustment is not extra interest; it reconciles indivisible payment units with a repeating decimal.
Reconcile totals rather than one rounded row
Check total principal reduction, total interest and the closing balance. For a real loan, use the contractual rounding method and a dated payoff quote. Not every currency uses two decimal places, and payment systems can impose their own minimum units. A difference much larger than plausible rounding should prompt a check of rate conventions, term, fees and payment dates.
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