Interest Rate Calculator

Reverse-calculate the annual compound interest rate needed to grow an initial amount to a final amount over a given period. Free, instant, no signup.

years
Formula: r = (Final / Principal)^(1/years) − 1
  • r = annual interest rate
  • years = investment period

How to use the Interest Rate Calculator

  1. Enter your values. Fill in the fields with your numbers.
  2. Calculate. Press Calculate to run the interest rate calculator.
  3. Use the result. Copy the result or try a related tool next.

Why use our Interest Rate Calculator

Instant results. Enter your figures and the interest rate calculator returns an answer in seconds.
Free & private. Runs in your browser — no signup, and nothing is sent to a server.
Accurate. Uses standard formulas so you can rely on the numbers.

Free to use — premium coming soon

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About the Interest Rate Calculator

The Interest Rate Calculator works backward from the numbers you already know to reveal the one you usually don't: the actual rate on a fixed-payment loan. You enter the amount borrowed, the loan term in years or months, and the fixed monthly payment, and it returns the annual interest rate baked into that deal. It also shows the total of all payments and the total interest you'll pay over the life of the loan, so a string of monthly figures suddenly becomes a single number you can compare against any other offer.

Use it whenever a loan is quoted as a monthly payment instead of a rate. Car dealers, furniture and electronics financing, buy-now-pay-later plans, and some private lenders love to advertise an attractive payment while staying quiet about the rate behind it. By reverse-engineering the rate, you can spot when a 'low monthly payment' is really an expensive loan stretched over extra months. It's equally useful for double-checking a quote you've already received, comparing two financing offers head to head, or sanity-checking a personal loan from a friend or family member.

Behind the scenes, there is no tidy algebra that isolates the rate, because the standard amortization formula, payment equals principal times i times (1 plus i) to the n, divided by (1 plus i) to the n minus 1, can't be rearranged to solve for the monthly rate i directly. Instead the calculator uses iteration: it guesses a rate, computes the payment that rate would produce, compares it to your real payment, and refines the guess (a Newton-Raphson style search) until the two match to a tiny tolerance. The matched monthly rate is multiplied by twelve to give the annual figure you see.

Every calculation runs entirely in your browser, so the loan amounts and payments you type are never uploaded, stored, or shared. The result is the periodic interest rate implied by your inputs, which equals the APR only when the loan carries no separate fees, origination charges, or points; when those exist, the lender's stated APR will be higher. Treat the output as an accurate read on the rate within the payment itself, and round to the nearest hundredth of a percent the way lenders typically quote.

Frequently asked questions

How does this calculator find the interest rate from a monthly payment?

It can't solve for the rate with a single formula, so it iterates: it tries a rate, calculates the payment that rate would generate for your amount and term, then adjusts up or down until that payment matches the one you entered. The matching rate, multiplied by twelve, is your annual interest rate.

What do I need to enter to get a result?

Three things: the loan amount (principal), the loan term, and the fixed monthly payment. With those, the calculator returns the annual interest rate plus your total payments and total interest over the loan.

Is the result the same as APR?

Only if the loan has no extra fees. This tool returns the rate implied by your payment alone, while APR also folds in origination fees, points, and certain closing costs. When those charges exist, the lender's APR will be higher than the rate shown here.

Why would a dealer or lender hide the interest rate?

Quoting only a monthly payment makes a loan feel affordable while obscuring how much it actually costs, often by extending the term. Reverse-engineering the rate lets you compare offers fairly and catch a cheap-sounding payment that hides an expensive rate.

Does it work for simple-interest or interest-only loans?

This calculator assumes a standard amortizing loan with equal fixed payments, which covers most car, personal, and mortgage loans. It is not built for simple-interest payoff math, interest-only loans, or balloon structures, where the payment doesn't fully amortize the balance.

From our blog

Adding vs. Removing VAT: Why the Two Calculations Aren't Mirror Images

By the Super Simple Digital Tools Team · Updated June 2026

Value Added Tax sits inside almost every price a business touches, yet the most frequent error is not the rate itself but the direction of the calculation. There are two distinct jobs: adding VAT to a net amount to find what a customer pays, and removing VAT from a gross amount to find the underlying price and the tax slice. They feel like opposites, but in arithmetic they are not symmetric, and confusing them quietly distorts quotes, margins, and bookkeeping. Understanding which job you are doing is the first step to getting VAT right every time.

Adding VAT is the simpler case. Take the net price, multiply by one plus the rate expressed as a decimal, and you have the gross. At a 20% rate, a 500 net price becomes 500 multiplied by 1.20, or 600. The VAT element is the difference, 100. This is the figure you put on a quote or a shelf label, because customers always see the tax-inclusive price. The same pattern scales to any rate: a 5% reduced rate uses a factor of 1.05, and a 0% zero-rated supply uses 1.00, leaving the price unchanged.

Removing VAT is where intuition fails. If a gross price already includes 20% tax, you cannot just subtract 20% of that gross figure, because the 20% was originally calculated on the smaller net amount, not the larger total. Subtracting 20% of 600 gives 480, which is wrong. The correct move is to divide by the same 1.20 factor, returning 500 net and 100 VAT. The general rule is to divide the gross by one plus the rate. This reverse calculation is what you need when splitting a receipt or working backwards from a price your supplier set.

Rates are the other moving part, and they vary widely. The UK standard rate is 20%, with a 5% reduced band and a 0% zero-rate for certain essentials. Across the EU, standard rates run from 17% in Luxembourg to 27% in Hungary, and several countries have nudged their rates upward in recent years. Zero-rated and exempt are not the same thing either: a zero-rated supply is taxed at 0% but still lets a business reclaim its input VAT, whereas an exempt supply carries no VAT and no reclaim. When in doubt, enter the specific rate that applies to your goods or country rather than assuming a default.

For everyday work, the safest habit is to let a calculator handle the factor while you focus on the direction and the rate. Confirm whether your starting figure is net or gross, pick the matching operation, and check that net plus VAT equals gross before you trust the result. For formal filings, remember that rounding to two decimal places per line can produce small differences against a total taxed in one go, so reconcile against your accounting records. Treat the tool as a fast, private cross-check, and verify rates and rounding rules with the relevant tax authority for anything you submit.

  • Before calculating, decide whether your figure is net (pre-tax) or gross (tax-inclusive); choosing the wrong direction is the number one VAT mistake.
  • To remove 20% VAT, divide the gross by 1.20, not subtract 20% from it; the percentage was originally taken on the smaller net amount.
  • Type the exact rate you need, 20% UK standard, 5% reduced, 0% zero-rated, or any EU rate from 17% to 27%, rather than relying on a single default.
  • Sanity-check every result by confirming net plus VAT equals gross, and reconcile line-by-line totals against your accounting software because penny rounding can drift.

Read the full guide →

Tool by the Super Simple Digital Tools Team. Reviewed by our editorial team. Free to use, no signup required.

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