Finance

Interest Rate Calculator

Infer the interest rate implied by a loan amount, a fixed monthly payment and a repayment term. It can help check an installment quote when the rate is not immediately clear.

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Your inputs

02

Your result

Ready when you are.

Adjust the inputs, then calculate to see your result here.

Calculated on your device. Inputs are not saved by this calculator.

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Using the Interest Rate Calculator

Use only payments that repay the loan and interest. Bundled insurance or service plans would make the inferred rate look higher because this model would treat their cost as borrowing interest.

Worked example

Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.

Example inputs

Amount borrowed
10000
Monthly payment
200
Number of payments
60

Example result

Nominal annual rate (%)
7.42

Method and assumptions

Numerically solves the ordinary annuity payment formula. Assumes no fees.

Compare the whole borrowing commitment

When comparing loan scenarios, change one assumption at a time. First compare terms at the same rate and balance, then compare rates over the same term. This makes it easier to see why the monthly payment changes. Keep any upfront costs alongside the result so that a lower installment does not hide a more expensive agreement.

Common question

Can the calculator find a negative interest rate?

This tool searches for a nonnegative rate. If all scheduled payments add up to less than the borrowed principal, the scenario falls outside that model.