Finance calculators

Interest Rate Calculator

Updated Sep 1, 2026 By Jehan Wadia
Rate Formulas
Loan Details
The principal you are borrowing.
Enter a loan amount greater than $0.
Whole years; combined with months below.
Total term must be at least 1 month.
Additional months beyond the years.
Fixed amount paid each month.
Enter a monthly payment greater than $0.
Implied Annual Interest Rate
5.065%
Total of 36 Monthly Payments
$21,600.00
Total Interest Paid
$1,600.00
Monthly Payment
$600.00
Loan Principal
$20,000.00
Principal vs. Interest
Balance Over Time

Introduction

If you know how much you borrowed, how long your loan lasts, and what you pay each month, this calculator will find your interest rate. It works backward from the numbers you already have to figure out the annual percentage rate hidden inside your loan. This is useful when a lender does not clearly show you the rate, or when you want to compare two loans side by side. Just type in your loan amount, the term in years and months, and your monthly payment. The calculator does the math instantly and shows you the implied interest rate, total interest paid, and a clear chart of how your balance drops over time.

How to Use Our Interest Rate Calculator

Enter your loan details below, and this calculator will find the annual interest rate on your loan based on the amount you borrowed, your loan term, and your monthly payment.

Loan Amount: Type the total amount of money you borrowed. This is the principal of your loan before any interest is added.

Loan Term (Years): Enter the number of full years you have to pay back the loan. If your loan is less than one year, leave this at zero and use the months field instead.

Loan Term (Months): Enter any extra months on top of the years. For example, a 3-year, 6-month loan would be 3 in years and 6 in months.

Monthly Payment: Type the fixed dollar amount you pay each month toward the loan.

Click Calculate to see your implied annual interest rate, total amount paid, and total interest paid. The tool also shows a chart of principal versus interest and a graph of your remaining balance over time. Click Reset to return all fields to their default values.

What Is an Interest Rate Calculator?

An interest rate calculator helps you find the annual interest rate on a loan when you already know the loan amount, the loan term, and the monthly payment. This is useful when a lender tells you your monthly payment but does not clearly state the interest rate. Instead of guessing, you can plug in your numbers and get the exact rate you are being charged.

How Interest Rates Work

When you borrow money, the lender charges you a fee for using their money. That fee is called interest. The interest rate is shown as a percentage of the loan amount per year. A higher rate means you pay more over the life of the loan. A lower rate means you pay less. Even a small difference in the rate can add up to hundreds or thousands of dollars over time.

What This Calculator Shows You

This tool solves for the implied annual interest rate based on your inputs. It also shows you the total amount you will pay, how much of that is interest, and how much is principal. The principal is the original amount you borrowed. The charts break down how your balance drops over time and how your total payment splits between principal and interest.

When to Use This Calculator

Use this calculator when you are comparing loan offers, checking a dealer's financing terms, or reviewing an existing loan. If you know three of the four values (loan amount, term, monthly payment, and interest rate), you can always find the missing one. This calculator finds the rate for you. If you want to compare the true cost including fees, our APR Calculator accounts for those extra charges.

Simple vs. Compound Interest

This calculator uses compound interest, which is how most real loans work. With compound interest, you pay interest on the remaining balance each month. As you pay down the balance, the interest portion of each payment gets smaller and the principal portion gets larger. This is called amortization. If you want to see how basic, non-compounding interest works instead, our Simple Interest Calculator handles that scenario.


Formulas used

Present Value of Annuity (Loan Balance Equation)
P = \text{pmt} \times \frac{1 - (1 + r)^{-n}}{r}
Annual Interest Rate from Monthly Rate
R_{\text{annual}} = r \times 12 \times 100\%
Total of All Payments
\text{Total Paid} = \text{pmt} \times n
Total Interest Paid
\text{Total Interest} = \text{pmt} \times n - P
Amortization — Interest Portion per Month
I_m = B_{m-1} \times r
Amortization — Remaining Balance per Month
B_m = B_{m-1} - (\text{pmt} - I_m)

Frequently asked questions

What if my monthly payment is too low for the loan amount and term I entered?

If your monthly payment is too low to pay off the loan in the time you entered, the calculator will show an error message. This means the total of all your payments would not cover the principal. You need to raise the payment, extend the term, or lower the loan amount.

Does this work for interest-only loans?

No. Interest-only loans do not pay down the principal with each payment. This calculator assumes each monthly payment covers both interest and principal, which is how a standard amortizing loan works.

Why is my calculated rate slightly different from what my lender quoted?

There are a few reasons this can happen. Your lender may have rounded the payment up or down by a few cents. The lender's rate may also include fees rolled into the APR. Small differences in rounding can cause the calculated rate to be slightly off from the quoted rate.

Is the interest rate shown monthly or yearly?

The main result is the annual interest rate. Behind the scenes, the calculator finds the monthly rate first and then multiplies it by 12 to give you the yearly number. This is the standard way most loan rates are shown.

What if my total payments exactly equal the loan amount?

If your monthly payment multiplied by the number of months equals the loan amount exactly, the interest rate is 0%. That means you are paying no interest at all, which can happen with some promotional financing deals.