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    APR Calculator

    Calculate Annual Percentage Rate

    Result

    5.00%

    Annual Percentage Rate (APR)

    Monthly Payment

    $319.43

    Total Cost

    $11499.49

    How It Works

    Overview

    An APR (Annual Percentage Rate) calculator estimates the true yearly cost of a loan once lender fees and finance charges are folded in. Unlike the headline interest rate, APR captures origination fees, discount points, and mortgage insurance — the line items that make a 6% loan actually cost 7% or more once everything is paid.

    APR is a regulator-defined disclosure under the US Truth in Lending Act, which means every lender must compute it the same way. That standardization is exactly what makes APR useful: you can put two mortgage offers side by side and the lower APR really is the cheaper loan if you keep it for the full term. Most consumer lending — mortgages, auto loans, credit cards, personal loans — quotes APR by law.

    The Formula

    APR ≈ ((Total Paid − Principal) / Principal) / (Term in Years)

    The exact APR is the rate that makes the present value of all loan payments equal to the amount actually disbursed to the borrower (principal minus rolled-in fees). Solving for it requires iteration — the calculator uses an approximation based on the total dollars paid relative to the principal received. For a precise APR, lenders solve:

    • Loan Amount = Σ Payment / (1 + APR/12)^k for k = 1...n

    Where n is the number of monthly payments and the equation is solved iteratively for APR. Because fees are typically deducted from the disbursement (or financed on top of the loan), the APR is always at least as high as the nominal interest rate.

    Worked Example

    Suppose you take a $10,000, 3-year personal loan at a 6% nominal interest rate with $500 in origination fees:

    • Amount financed: $10,500 (loan + fees)
    • Monthly payment: about $319.40
    • Total paid over 36 months: about $11,498
    • Excess over principal received ($10,000): $1,498
    • Approximate APR: ~9.3% versus the 6% interest rate

    That gap — 6% rate vs. 9.3% APR — is the whole reason the APR disclosure exists. The interest rate alone hides $500 in fees; APR exposes them as a higher annualized cost.

    When to Use This

    • Comparing mortgages — two lenders with the same rate but different fees produce different APRs; the lower one wins for long-term holds.
    • Evaluating credit card offers — purchase APR, balance-transfer APR, and cash-advance APR are often three different numbers; check all three.
    • Auto loan shopping — dealer financing often comes with markups; check the APR, not just the monthly payment.
    • Personal loans & BNPL — fintech and buy-now-pay-later loans can have APRs above 30% even with "0% interest" marketing.
    • Refinance break-even analysis — comparing your current APR to a refi APR shows whether closing costs are justified.

    Common Mistakes to Avoid

    • Comparing APR to APY. APR is for borrowing and is not compounded. APY (for deposits) is compounded. Don't use them interchangeably.
    • Ignoring how long you'll keep the loan. Low-APR loans with big upfront points only beat higher-APR loans if you hold past the breakeven point — typically 4–7 years on a mortgage.
    • Forgetting that not all fees are in APR. Title insurance, recording, and inspection fees usually aren't included on a mortgage. Add them back when computing total cost.
    • Looking only at monthly payment. A longer term lowers the payment but raises the total interest — and the APR comparison gets distorted across different term lengths.
    • Assuming variable APR equals fixed APR. A teaser variable APR can reset much higher; check the index, margin, and rate caps.

    Frequently Asked Questions