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CalcIntel

Finance · Quick Answer

How is APR calculated?

APR (Annual Percentage Rate) = ((Interest + Fees) / Principal) / Loan Term in Years × 100. It includes the interest rate plus any up-front fees, spread across the life of the loan, so APR is always equal to or higher than the base interest rate.

The formula

APR standardizes the true yearly cost of borrowing so borrowers can compare loans with different fee structures.

APR = ((Total Interest + Total Fees) / Loan Amount) / Term in Years × 100

Example

A $10,000 loan at 6% interest over 5 years, with $400 in origination fees:

  • Total interest: roughly $1,600
  • Total cost: $2,000
  • APR ≈ ((2,000 / 10,000) / 5) × 100 = 4% per year in fees-plus-interest amortized

That's why the APR on your loan disclosure is typically 0.25%-1.0% higher than the quoted interest rate.

When APR and interest rate differ the most

  • Short-term loans (fees amortize over fewer years)
  • Loans with heavy origination or discount-point fees
  • Credit cards (APR ≈ interest rate, since there are usually no up-front fees)

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