Remaining principal balance and supporting figures
The schedule applies a fixed rate and equal monthly payment over the original full term. The remaining balance is measured immediately after the entered number of payments, without fees or extra principal.
To model extra principal payments as well as the regular schedule, the Loan Calculator shows their effect on payoff time and interest.
The formula
The fixed monthly installment repays the original principal over the full term. Remaining principal is evaluated as the present value of the unpaid installments at the monthly rate, avoiding the accumulation of rounded payment errors through a long schedule. At maturity the modeled balance is exactly zero. Principal repaid is original principal minus remaining balance, and interest paid is total installments made minus principal repaid.
Worked remaining loan balance example
For a 100,000 zero-interest loan with a 30-year term, 60 scheduled monthly payments repay 16,666.67 of principal and leave a balance of 83,333.33.
How to use this calculator
- Enter loan amount, annual interest rate, amortization term.
- Set monthly payments already made using the stated units or choices.
- Calculate and compare remaining principal balance, scheduled monthly payment, principal repaid, interest paid so far.
Choosing inputs for remaining loan balance
Enter the original principal, original term, and fixed contract interest rate. The payments-made control counts completed scheduled installments, not elapsed calendar months in a period that included missed payments. At zero payments, the balance is the original principal; at the full term, the modeled principal is repaid.
Principal repaid and interest paid explain why subtracting total installments from the original amount does not give the correct balance at a positive rate. Part of every payment covers interest, and that share generally falls as the opening balance declines. The calculator tracks these parts without rounding each monthly installment to cents.
Interpreting remaining principal balance
A lender’s payoff quote can be higher than the principal balance because it includes interest accrued since the last payment and sometimes permitted charges. This result is a scheduled outstanding-principal estimate, not a payoff statement for a specific date. Extra payments, forbearance, payment timing, or rate resets require a different schedule.
Assumptions & limitations
What this calculation assumes
- Payments are made monthly at the end of each interest period.
- There are no extra payments, skipped payments, or changes in rate.
What to keep in mind
- Daily payoff interest, fees, lender rounding, recasting, and delinquency are excluded.
Common questions
Is this a dated payoff quote?
No. It gives scheduled principal immediately after a payment; a dated payoff quote may add accrued interest and charges.
Can I enter more payments than the term?
No. The payments-made count must be a whole number between zero and the total scheduled months.
Can I subtract total payments from principal?
Only at zero interest. At a positive rate, part of each payment pays interest, so the principal declines by less than total payments.
Sources & further reading
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