When to use this calculator
Estimate outstanding principal after a chosen number of regular loan payments. Assumes equal on-time monthly payments and no fees or extra repayments.
Explore the loan & repayment calculators for other questions in this topic. For a related calculation, use the Loan Interest Rate Calculator: Find the implied nominal annual interest rate from principal, monthly payment and payment count.
PUTTING IT INTO PRACTICE
Loan Balance: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Original principal | 1,200 |
| Nominal annual rate (%) | 0 |
| Original months (integer) | 12 |
| Payments made (integer) | 5 |
| Result | 700 currency units |
- Check the input labels and enter the example values above.
- Apply the relationship: Balance = P(1+m)^k − payment × ((1+m)^k−1)/m.
- The result is 700 currency units, rounded for display.
How to interpret your result
Assumes equal on-time monthly payments and no fees or extra repayments.
Use a fixed-rate amortising model for loans repaid by equal monthly instalments. An interest-only payment leaves the principal outstanding. Fees and contractual APR calculations require more than the interest rate alone.
Frequently asked questions
Does a lower monthly payment mean a cheaper loan?
Not necessarily. Extending the term can lower payments while increasing total interest. Compare both monthly affordability and overall cost.
When is the loan balance calculator useful?
Estimate outstanding principal after a chosen number of regular loan payments. Assumes equal on-time monthly payments and no fees or extra repayments.
How do I use the loan balance calculator?
Enter original principal, nominal annual rate (%), original months (integer), payments made (integer). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Balance = P(1+m)^k − payment × ((1+m)^k−1)/m.
What should I check before using the result?
Assumes equal on-time monthly payments and no fees or extra repayments.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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