How remaining balance is calculated
On a standard amortising loan, each monthly payment covers the interest accrued during that period and reduces the principal by the remainder. Because the interest is calculated on the outstanding balance, more of each early payment goes to interest and less to principal. As the balance falls, the interest portion shrinks and the principal portion grows.
The formulas
Monthly payment: M = P × [r(1+r)^n] / [(1+r)^n − 1]
Remaining balance after k payments: B = P(1+r)^k − M × [(1+r)^k − 1] / r
Interest paid to payment k: I = M × k − (P − B)
P = original principal. r = monthly interest rate (annual rate / 12). n = total payments. k = payments made. B = remaining balance.
Why extra payments have such a large effect
Any payment above the required minimum is applied directly to principal. Reducing the principal immediately reduces the interest charged in every subsequent period. A single extra payment early in the loan has an outsized effect because it removes principal that would otherwise have generated interest charges for many years ahead.
| Loan | Rate | Term | After 12 payments | After 24 payments | After 36 payments |
| $25,000 | 6.5% | 60 mo. | $21,280 | $17,278 | $12,974 |
| $100,000 | 4.5% | 120 mo. | $92,083 | $83,807 | $75,149 |
| $300,000 | 5.5% | 300 mo. | $295,218 | $290,164 | $284,820 |
Frequently Asked Questions
Why does my remaining balance fall so slowly at the start?+
At the start of a loan, the outstanding balance is at its highest, so the interest charged each month is also at its highest. On a $25,000 loan at 6.5%, the first monthly interest charge is around $135. If the regular payment is $489, only $354 goes to principal in the first month. As the balance falls over time, the interest portion shrinks and more of each payment reduces principal, which is why the balance curve accelerates downward in the later stages of a loan.
How does an extra lump sum payment affect the remaining balance?+
A lump sum payment applied to principal reduces the balance by exactly that amount immediately. Every future monthly interest charge is then calculated on this lower balance, so the effect compounds over time. A $1,000 extra payment on a $25,000 loan at 6.5% with 48 months remaining saves roughly $130 in future interest and shortens the loan by about 2 months. The earlier in the loan you make the extra payment, the larger the saving.
Can I use this for a mortgage?+
Yes. This calculator works for any standard amortising loan including mortgages, car loans, personal loans, and student loans. Enter the original mortgage amount, the annual interest rate, the total term in months, and the number of payments already made. The remaining balance shown is the outstanding principal, which is the figure relevant for refinancing decisions, home equity calculations, and early repayment discussions with your lender.
Does refinancing reset the remaining balance calculation?+
Refinancing replaces your existing loan with a new one. The new loan principal is typically the current remaining balance on the old loan. The new loan starts its own amortisation schedule from scratch. Even if the new interest rate is lower, the early payments on the new loan will again be mostly interest, which means extending the term via refinancing often increases total interest paid over the life of the debt. Use this calculator to find your current remaining balance, then use the Loan Repayment Calculator with that figure as the new principal to model the refinancing scenario.
What is the difference between remaining balance and total amount still owed?+
The remaining balance is the outstanding principal only, the amount you would need to pay today to settle the debt in full. The total amount still owed over the remaining term includes both the remaining principal and all future interest charges that will accrue if you continue making only the scheduled payments. This calculator shows both figures: the current remaining balance is the primary result, and the interest still owed is shown separately to illustrate the full future cost of continuing with minimum payments.