Debt payoff with extra payments

Debt payoff with extra payments: use loan principal, nominal annual interest rate, number of monthly payments. Review the formula, worked example and calculation steps.

Inputs

Use the units shown

Scenario estimate using the assumptions shown. Verify costs and rates with your provider; this is not a guaranteed return or lending decision.

RESULT
—

Enter your values and select Calculate.

Formula & explanation
Balanceₖ = balanceₖ₋₁(1+r) − payment − extra

Variables & units

Loan principal
currency · minimum 0.01, maximum 1000000000000
Nominal annual interest rate
% · minimum 0, maximum 100
Number of monthly payments
months · minimum 1, maximum 600
Extra principal each month
currency · minimum 0, maximum 1000000000000

Worked example

At zero interest, 1,200 over 12 months plus 100 extra monthly is repaid in 6 months.

Assumptions

Fixed nominal annual rate divided by 12; equal end-of-month payments. Excludes fees, insurance, taxes, variable rates and lender rounding. Extra payments are applied after the period’s interest. No prepayment penalties.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

Calculated on your device. Your latest 100 calculations stay in this browser.