Interest rate calculator

Solve the fixed monthly interest rate implied by a principal, payment and payment count.

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More inputs and assumptions

Answer

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Solve the fixed monthly interest rate implied by a principal, payment and payment count.

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Precision and calculation record

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

Principal = payment × (1 − (1 + r)^−n)/r. Payments occur at month-end. Annual nominal rate is 12 × monthly rate, not regulated APR or effective annual yield. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Using Interest rate calculator

Solve the fixed monthly interest rate implied by a principal, payment and payment count.

Principal = payment × (1 − (1 + r)^−n)/r. Payments occur at month-end. Annual nominal rate is 12 × monthly rate, not regulated APR or effective annual yield. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

Next: Loan calculator

A worked example

Example inputs: loan amount = 1000, fixed monthly payment = 100, payments in months = 10. Nominal annual interest rate (%) = 0.

Before you use the result

Principal = payment × (1 − (1 + r)^−n)/r. Payments occur at month-end. Annual nominal rate is 12 × monthly rate, not regulated APR or effective annual yield. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

Example results for loan amount

These examples use Fixed monthly payment: 100; Payments in months: 10. They are reference calculations, not recommended settings.

Loan amountNominal annual interest rate (%)
500181.180973725
10000
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ToolOctopus. “Interest rate calculator.” Updated 2026-09-26. https://tooloctopus.com/interest-rate-calculator.

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