Home › Financial Calculators › Interest Rate Calculator

Interest Rate Calculator

Looking for a how to find the interest rate on a loan? This free tool gives you works out the APR-style rate from loan amount, term and payment. Just enter your numbers and press Calculate — results are instant.

How to Use This Interest Rate Calculator

Sometimes you know the loan amount, the term and the monthly payment, but not the rate — for example when a lender quotes a payment without showing the rate clearly. There is no simple formula that gives the rate directly, so this calculator finds it by trial and error: it tests rates until the standard loan formula produces exactly your monthly payment. If your total payments are less than the loan amount, no rate exists, and the calculator will tell you the payment is too low.

Formula Used

There is no closed-form formula for the rate: the calculator solves it by trial and error (bisection), testing rates until the loan formula gives exactly your monthly payment.

Worked Example

Example: Loan amount $10,000 · Term 5 years · Monthly payment $212.47

  1. Total paid = $212.47 × 60 = $12,748.20, so the total interest is $12,748.20 − $10,000 = $2,748.20.
  2. The rate that makes a $10,000 loan cost exactly $212.47 a month for 5 years is 10.00% per year.
  3. If the payment were lower, the total paid could fall below the loan amount — then no rate exists at all.

Interest Rate: 10.00%

Frequently Asked Questions

Why would I need to find a rate?

To check a lender's quote. If someone offers you a loan and only tells you the monthly payment, this calculator reveals the true yearly rate hidden inside it — so you can compare offers fairly.

What is the difference between an interest rate and APR?

The interest rate is the cost of borrowing the money. APR (annual percentage rate) also includes lender fees, so it is usually slightly higher and is the better number for comparing loans.

The calculator says my payment is too low — what does that mean?

Your total payments must be more than the loan amount, because interest is added on top. If the monthly payment times the number of months is less than what you borrowed, no interest rate can make the maths work.

Related Calculators

Advertisement