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Interest Rate Calculator

Calculate the interest rate on a loan given the loan amount, monthly payment and term.

=Annual Interest Rate (APR)
3.82%
Currency for this calculator
Where this falls
3.8
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Excellent

A 3.82% rate on this loan is where it lands among typical consumer loan rates — well-qualified borrowers on secured loans usually land near the low end, unsecured or subprime rates push toward the high end.

About the Interest Rate Calculator

Sometimes you know everything about a loan except the one number that matters most for comparing it: the actual interest rate. A dealer or private seller quotes a monthly payment and a term, or an old loan statement lists a balance and payment but no rate — either way, you're missing the figure you'd need to shop it against other offers.

This calculator works backward from what you do know — the loan amount, the payment, and the term — to the rate that reconciles them, which is exactly the situation anyone verifying a financing offer or reconstructing an old loan's terms runs into.

Nothing about the loan you're checking — amount, payment, or term — is sent off your device; the whole search runs locally in your browser.

How it’s calculated

There's no algebraic formula that solves directly for the interest rate given a payment, loan amount and term — the standard payment formula can't be rearranged that way. Instead, this calculator searches for it numerically: it repeatedly tests a candidate rate, computes the payment that rate would produce, and narrows the range up or down until the computed payment converges on the one you entered.

That search (a binary search, sometimes called bisection) typically needs only a few dozen iterations to close in on a rate accurate to many decimal places, which is why it returns instantly despite having no closed-form shortcut.

Frequently asked questions

Why isn't there a simple formula to solve for the interest rate directly?

The standard loan payment formula has the rate embedded inside an exponent in a way that can't be isolated algebraically. Rates are instead found by iterative search — trying candidate rates and homing in on the one that produces your actual payment — which is standard practice in finance software, not a shortcut.

How accurate is a rate found this way compared to the loan's real APR?

Very accurate for the payment math itself — the search converges to many decimal places. It reflects the loan's interest rate assuming standard monthly amortization; it won't capture separate items like origination fees, which affect true APR but not the base payment formula.

Can I use this to find a credit card's interest rate from my statement?

Not reliably — credit cards don't amortize on a fixed schedule the way installment loans do, since balances, minimum payments and additional charges change month to month. This calculator assumes a fixed payment and fixed term, which fits an auto loan, personal loan or similar far better.

Why does a small change in my monthly payment shift the calculated rate so much?

Because interest compounds over every remaining payment, a modest difference in the payment amount can imply a meaningfully different rate, especially over longer terms where more payments carry that compounding effect.

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