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Financial Planning

APR Calculator

Calculate the annual percentage rate (APR) of a loan including upfront fees, compared with the note rate.

Your inputs

Results

APR

8.057%

Monthly payment
$304.22
Total finance charge (interest + fees)
$1,251.90
Effective annual rate of the APR
8.362%

✓Exact calculation — rounded only for display

Notes for this result

  • APR here is the actuarial rate that equates the amount you actually receive with your payments (similar in spirit to US Regulation Z). Legal APR definitions vary by country.

Inputs are never added to links for financial, salary or health calculators.

What this calculator does

Upfront fees mean you receive less than the amount you repay interest on. APR spreads those fees over the loan term to express the true yearly cost of borrowing.

Formula and method

Payment from the loan amount at the note rate. APR = 12 × r*, where r* solves: (loan − fees) = payment × (1 − (1 + r*)^−n) ÷ r*.

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Loan amount: 10000 (any currency)
  • Note interest rate (annual): 6 %
  • Term: 36 months
  • Upfront fees paid (prepaid finance charges): 300 (any currency)

Results

  • APR: 8.057%
  • Monthly payment: 304.22
  • Total finance charge (interest + fees): 1,251.9
  • Effective annual rate of the APR: 8.362%

How to read the results

The larger the gap between APR and the note rate, the more the fees cost you — especially on short loans.

Assumptions and limitations

  • This follows the actuarial method; regulatory APR definitions include specific charges and vary by country.

Financial results are estimates based on the inputs and assumptions shown. They are not financial advice; confirm figures with your lender, provider or a qualified adviser before making decisions.

Questions

Is a lower APR always better?

For loans of the same term, usually yes. Across different terms, also compare total cost and the monthly payment.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Because this calculator can involve personal financial or health details, your inputs are never added to share links or saved to history. Privacy policy