APR Calculator

Find the true Annual Percentage Rate (APR) of a loan once fees are included. The APR captures the real cost of borrowing — your note rate plus origination and closing fees, expressed as one comparable rate.

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APR Calculator

True cost of a loan with fees

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Effective APR
Monthly Payment
Note Rate
Net Amount Financed
APR Premium

Interest Rate vs APR

The interest rate (note rate) determines your monthly payment, but it ignores fees. The APR rolls origination fees, points, and closing costs into a single annualized rate so you can compare loans fairly. Because you pay the same monthly payment but receive less cash (loan minus fees), your effective borrowing cost — the APR — is higher than the note rate. Federal Truth in Lending law requires lenders to disclose APR for exactly this reason.

For example, a $250,000 loan at a 6.5% note rate over 30 years has a payment of about $1,580. With $5,000 in fees, you effectively borrowed only $245,000 but still pay as if you borrowed $250,000 — pushing the APR to about 6.69%. When shopping lenders, compare APRs, not just rates: a lower rate with high fees can have a higher APR than a slightly higher rate with none.

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Note Rate

The stated interest rate that sets your monthly payment. It excludes fees, so it understates the true cost.

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APR

The all-in annualized cost including fees. Always higher than the note rate when fees exist. Use it to compare offers.

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Compare Fairly

A 6.25% rate with $8,000 fees may cost more than 6.5% with none. The APR reveals which loan is actually cheaper.

Formula & Logic

The interest rate prices the money; the APR prices the loan. APR folds origination fees, points and other finance charges into a single annualised rate, which is why it is almost always higher than the note rate and why US lenders are required to disclose it. Its purpose is comparison: two loans quoted at the same rate can carry very different fees, and APR is the number that exposes the difference. Its weakness is the assumption that you keep the loan for its full term — pay it off early and the fees are spread over fewer years, so the effective cost is higher than the disclosed APR suggested.

Find the rate that satisfies: Amount advanced = Σ [ Payment ÷ (1 + APR/12)^t ]Amount advanced = loan amount − financed feesApproximation: APR ≈ [ (Fees + Total interest) ÷ P ÷ years ] × 100

where:

Amount advanced
cash actually received after prepaid finance charges
Payment
the monthly payment computed on the FULL loan amount
Fees
origination, points, mortgage broker and underwriting charges
APR
the rate at which the two sides balance — solved by iteration

Assumptions: APR excludes third-party costs that are not finance charges, such as appraisal, title insurance and recording fees, so it is not the total cost of borrowing. Assumes the loan runs to term.

Step-by-Step Example: A $300,000 Loan With $6,000 of Fees

A 30-year loan of $300,000 at a 6.5% note rate carries $6,000 in origination and points.

  • Loan amount$300,000
  • Note rate6.5%
  • Term30 years
  • Finance charges$6,000
  1. Compute the payment on the full loan amount: $300,000 at 6.5% over 360 months = $1,896.20.
  2. Establish what you actually received: $300,000 − $6,000 = $294,000.
  3. Ask the real question: what rate makes $294,000 today equal 360 payments of $1,896.20?
  4. Iterate — at 6.5% the present value is $300,000, too high, so the rate must rise.
  5. At 6.69% the present value of those payments is $294,160 — essentially the cash advanced.
  6. Report the difference: a 6.5% note rate is a 6.69% APR — 19 basis points of hidden cost.

ResultAPR ≈ 6.69% against a 6.5% note rate

The gap widens sharply on short holding periods. Sell or refinance after five years and those $6,000 of fees are spread over 60 payments rather than 360, making the true annualised cost closer to 7.0% — which is why APR flatters loans you do not keep.

FAQ

The interest rate sets your monthly payment based on the loan balance. The APR adds in fees and closing costs and expresses the total as one annual rate. APR is always equal to or higher than the note rate, and it's the better number for comparing loan offers.
First compute the monthly payment using the note rate and full loan amount. Then find the rate that makes the present value of those payments equal to the net amount you actually receive (loan minus fees). That solved rate, annualized, is the APR. This calculator solves it iteratively for you.
Because you pay fees to get the loan, you effectively borrow less than the loan amount but make payments as if you borrowed the full amount. That gap raises your true annual cost above the note rate. With zero fees, the APR equals the interest rate.

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✔ Written & reviewed by Dr Sam — 20+ yrs in management & research leadership📅 Last updated June 2026📚 Sources: Freddie Mac PMMS, Consumer Financial Protection Bureau📑 How we build & check these⚖ Educational estimates only — not financial, tax or legal advice