Remaining Loan Balance
An amortising loan takes the same payment every month, but the split inside it keeps shifting. Early on most of it is interest, so the balance barely moves; later the principal falls quickly.
Your numbers
Balance left
272,209,376
Total repaid
88,023,091
Interest
60,232,467
Formula
Balance left = Principal × (1+i)^Months − Monthly payment × ((1+i)^Months − 1) ÷ i
Five years into a thirty-year loan, the balance is typically down by less than a tenth. That figure is the starting point for any refinancing or overpayment decision.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| PrincipalThe money you put in — the base that earns interest. | 300,000,000 | 0 and up |
| Annual rate (%)Interest quoted per year; the monthly rate is this over 12. | 4.2 | 0 and up |
| Years (yr)How many years the money stays put; compounding bites harder as this grows. | 30 | 0 ~ 50 |
| Months (mo)The period counted in months; a yearly rate gets divided by twelve. | 60 | 0 and up |
Step by step
Quick reference table
Results when only Principal changes and everything else stays put.
| Principal | Balance left | Total repaid | Interest |
|---|---|---|---|
| 150,000,000 | 136,104,688 | 44,011,546 | 30,116,234 |
| 225,000,000 | 204,157,032 | 66,017,318 | 45,174,351 |
| 300,000,000 | 272,209,376 | 88,023,091 | 60,232,467 |
| 450,000,000 | 408,314,064 | 132,034,637 | 90,348,701 |
| 600,000,000 | 544,418,752 | 176,046,183 | 120,464,935 |
What each result means
| Result | At default values |
|---|---|
| Balance leftPrincipal still owed, with interest excluded. | 272,209,376 |
| Total repaidEverything handed over by the last payment — principal plus interest. | 88,023,091 |
| InterestThe interest earned or owed over the period. | 60,232,467 |
Common mistakes
Five years into a thirty-year loan, the balance is typically down by less than a tenth. That figure is the starting point for any refinancing or overpayment decision.
Glossary
- Principal
- The money you put in — the base that earns interest.
- Annual rate
- Interest quoted per year; the monthly rate is this over 12.
- Years
- How many years the money stays put; compounding bites harder as this grows.
- Months
- The period counted in months; a yearly rate gets divided by twelve.
- Balance left
- Principal still owed, with interest excluded.
- Total repaid
- Everything handed over by the last payment — principal plus interest.
- Interest
- The interest earned or owed over the period.
Frequently asked questions
Q. How is Remaining Loan Balance calculated?
Balance left = Principal × (1+i)^Months − Monthly payment × ((1+i)^Months − 1) ÷ i — An amortising loan takes the same payment every month, but the split inside it keeps shifting. Early on most of it is interest, so the balance barely moves; later the principal falls quickly.
Q. Can you walk through an example?
With Principal 300,000,000, Annual rate 4.2%, Years 30yr, Months 60mo, the answer is Balance left 272,209,376.
Q. What do I need to enter?
Enter Principal, Annual rate, Years, Months. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Principal moves the answer to Principal 150,000,000 → Balance left 136,104,688 and Principal 600,000,000 → Balance left 544,418,752. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Five years into a thirty-year loan, the balance is typically down by less than a tenth. That figure is the starting point for any refinancing or overpayment decision.
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