Interest Rate Calculator

Calculate interest rate from your own entered figures.

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Currency: Amounts are calculated in the currency you select; this site does not convert between currencies and does not use live exchange rates.

What this tool does

Calculate interest rate from your own entered figures. Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.

How to use the Interest Rate Calculator

  1. Enter or select loan amount.
  2. Enter or select monthly payment.
  3. Enter or select term (months).
  4. Read the calculated result; change any measurement to compare alternatives.

Formula

invert the amortization formula by bisection: find the monthly rate whose level payment equals the entered payment, then annualize (rate × 12)
amount
Loan amount
payment
Monthly payment
termMonths
Term (months)

Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.

Worked example

For interest rate calculator, the following measurements illustrate the exact method: Loan amount: 20000; Monthly payment: 386.66; Term (months): 60.

Inputs

  • Loan amount$20000
  • Monthly payment$386.66
  • Term (months)60

Result

  • Implied annual interest rate6%
  • Total interest implied$3,199.60
  • Total of all payments$23,199.60

Results explained

Implied annual interest rate
Implied annual interest rate from the formula above. Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.
Total interest implied
Total interest implied from the formula above. Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.
Total of all payments
Total of all payments from the formula above. Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.

Frequently asked questions

invert the amortization formula by bisection: find the monthly rate whose level payment equals the entered payment, then annualize (rate × 12)

Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.

No. All numbers are entered by you or come from the dated reference table shown on this page; calculations run locally.

This is an estimate, not financial, tax or legal advice. Verify the inputs and output with official sources and a qualified professional.

Check period consistency, currency, percentage inputs and the assumptions: Solves for the nominal annual rate with monthly compounding. If the quoted payment includes financed fees or insurance, the solved rate is an effective (APR-like) rate, not the note rate.