The method
How it is worked out
- P
- Principal
- Payment
- Monthly payment
- N
- Number of payments
- i
- Monthly interest rate
Estimate the annual interest rate implied by a loan amount, repayment amount and term. The result updates as you type so you can compare scenarios quickly.
The method
Keep in mind
Use the calculator to compare scenarios rather than as a guaranteed forecast.
Work backwards from a loan amount, monthly payment and number of instalments to estimate the rate built into the repayment schedule. Use it to sense-check a financing quote when the repayment is clear but the stated interest rate is missing or hard to compare.
The tool solves the fixed-payment loan formula for a monthly interest rate and converts that to an annual figure. It assumes standard equal payments and a fully repaid balance at the end. An arrangement fee, insurance or final balloon amount would change the true borrowing cost and must be considered separately.
Take a sofa or other fixed-payment purchase with 24 monthly instalments. Enter the financed amount and each payment, then compare the implied rate with the seller's quoted rate. If a deposit or fee is involved, adjust the financed amount before interpreting the answer.
Put it to work
Load an example
What moves the result most
Worked out from your figures above. Tap a row to try it.
Who uses it, and when
Anyone offered instalment finance in a shop, buyers of furniture, phones or appliances on credit, and small businesses checking supplier finance that quotes a payment but not a rate.
Mistakes worth avoiding
Questions
Estimate the annual interest rate implied by a loan amount, repayment amount and term.
The tool solves the fixed-payment loan formula for a monthly interest rate and converts that to an annual figure. It assumes standard equal payments and a fully repaid balance at the end. An arrangement fee, insurance or final balloon amount would change the true borrowing cost and must be considered separately.
The core calculation or transformation runs in your browser. Normal website security and analytics may still record page-level events, but the tool does not need to create a public record from your inputs.
Forgetting to subtract the deposit from the price before entering the financed amount. Ignoring a final balloon payment, which makes the implied rate look lower than it is. Assuming zero-percent finance is free when the cash price would have been lower.
No. Use the result as a practical check or planning aid and verify important decisions with the relevant primary source, provider or professional advice.
Executive Insights
Calculator results are estimates based on the figures entered and are not financial, investment, legal or tax advice.