Remaining Loan Balance Calculator
Enter loan amount, annual interest rate, loan term, monthly payments already made to find remaining balance. Bₖ = P(1+j)ᵏ − M((1+j)ᵏ − 1)/j; j = annual rate/1200.
How the result changes
Only annual interest rate changes; all other inputs stay at your current values. The line illustrates the formula across the shown range. This is not a forecast of real-world outcomes.
About this calculation
Estimate the unpaid principal after a chosen number of regular monthly payments on a fixed-rate, fully amortizing loan. Enter the original loan amount, annual interest rate, total term, and how many scheduled payments have already been made. This is a balance estimate, not a payoff quote.
Formula
Bₖ = P(1+j)ᵏ − M((1+j)ᵏ − 1)/j; j = annual rate/1200
Worked example
With Loan amount: 250000 currency units, Annual interest rate: 5 %, Loan term: 30 years, Monthly payments already made: 60, remaining balance is 229,571.83 currency units.
How the remaining balance is calculated
The calculator first finds the level monthly payment M from the original loan amount P, monthly rate j, and total number of monthly payments n. After k payments, the modeled balance is Bₖ = P(1 + j)ᵏ − M[(1 + j)ᵏ − 1] ÷ j. Here k is the number entered as “Monthly payments already made.” For a zero-interest loan, the balance falls by the same principal amount each month.
For an original 250,000 loan at 5% over 30 years, the scheduled monthly principal-and-interest payment is about 1,342.05. After 60 payments, the estimated unpaid principal is about 229,571.83. That means roughly 20,428.17 of the original principal has been paid down; the rest of the money paid so far went mainly to interest.
Balance, payment, and payoff are different
The remaining balance is principal still owed. It is not the sum of all future payments, because those payments also include future interest. A lender payoff amount can differ from this result because interest may have accrued since the last payment and the loan may have fees or other charges.
When the estimate can differ from a statement
The formula assumes every scheduled payment was made on time, the rate stayed fixed, and there were no extra principal payments, skipped payments, refinancing, or rate changes. Lenders may also use daily interest accrual and rounding rules. Use your current statement or lender payoff quote for an exact amount.
Read the example and units
The worked values on this page use loan amount 250000 currency units, annual interest rate 5 %, loan term 30 years, and monthly payments already made 60. With those exact entries, the calculator reports remaining balance 229,571.83 currency units. The output describes remaining balance under the displayed equation. It does not automatically include a separate cost, rate, or quantity absent from the listed fields. Keep all money amounts in one currency and check which amount is the base of a percentage. The displayed rule uses only the rate, amount, term, or count you supply; it does not import a market price, account balance, receipt rule, or contract term.
Compare one changed input
For a second scenario, change only loan amount 250000 currency units to loan amount 275000 currency units and leave the other example entries alone. The result for remaining balance changes from 229,571.83 currency units to 252,529.01 currency units. Comparing one changed input at a time shows exactly which assumption drove the difference in this calculation. This comparison isolates the arithmetic effect of one assumption. Actual fees, contract terms, taxes, behavior, or market outcomes may change a real result, so compare several plausible inputs rather than relying on one precise-looking number.
How to interpret this kind of result
For an amortizing fixed-rate loan, a regular payment contains interest charged on the remaining balance and a principal portion that reduces that balance. Total repaid is the sum of modeled scheduled payments; total interest is that sum minus the original amount borrowed. A remaining-balance calculation answers a different question from the sum of future payments. For this remaining loan balance calculation, loan amount in currency units, annual interest rate in %, loan term in years, and monthly payments already made determine remaining balance; the displayed remaining balance 229,571.83 currency units belongs to that exact combination rather than to a different rate, term, or measurement basis.
Scope and practical checks
The annual interest input is converted to a monthly rate in these formulas. A disclosed APR may include fees and may not reproduce the contractual payment when divided by twelve. Insurance, taxes, origination charges, extra payments, missed payments, and rate changes are omitted unless entered explicitly. For a decision, compare the calculator with the lender schedule and full offer terms. Check the loan amount in currency units, annual interest rate in %, loan term in years, and monthly payments already made entries against the quantities in your own situation before using remaining balance; this page cannot infer a field or condition that you did not enter.
Common questions
Why has the balance fallen slowly in the early years?
Early payments pay interest on a relatively large balance, so a smaller share of each payment reduces principal. The share going to principal grows as the balance declines.
Is remaining balance the same as a payoff amount?
Not necessarily. A payoff quote may include interest accrued since the last payment and other contractual charges.
What does this remaining loan balance result include?
The remaining balance comes from loan amount in currency units, annual interest rate in %, loan term in years, and monthly payments already made using the displayed rule Bₖ = P(1+j)ᵏ − M((1+j)ᵏ − 1)/j; j = annual rate/1200. It does not automatically include a condition absent from the listed inputs. Check the applicable account, transaction, or contract terms before using it for a financial decision.
Sources and references
Inputs
- Loan amount (currency units)
- Annual interest rate (%)
- Loan term (years)
- Monthly payments already made