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APR Calculator

Find the true annual percentage rate of a loan including upfront fees.

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$
%
$

Origination, processing or other finance charges paid at the start.

Enter your values to see the result.

Results are estimates for planning only. Actual figures depend on your lender or bank, fees, rounding and the exact dates used, so confirm the numbers before you sign anything.

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How this calculation works

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Formula
Solve received principal = Σ monthly payment / (1 + r)^month for monthly rate r using bisection; nominal annual APR = r × 12 × 100. Received principal subtracts entered upfront fees.
Variables
  • Loan amount
  • Interest rate
  • Loan term
  • Unit: Years, Months
  • Upfront fees. Origination, processing or other finance charges paid at the start.
Units
  • Interest rate: %
  • Use the same selected currency for all monetary inputs. Changing the symbol does not convert exchange rates.
Example
A $20,000 loan at 8% for 5 years with $600 in fees has a monthly payment of about $405.53. Because you effectively receive only $19,400, the true APR is about 9.30%.
Assumptions
Results are estimates for planning only. Actual figures depend on your lender or bank, fees, rounding and the exact dates used, so confirm the numbers before you sign anything.
Source
ToolzHive calculation guide and calculator implementation. External reference verification is pending.
Last reviewed
Review date not yet recorded.

Methodology & References

The method depends on the selected model and input options. Review the assumptions and references above before interpreting the result.

  1. Enter the loan amount, the quoted interest rate and the term.
  2. Add all upfront fees, such as origination or processing charges.
  3. Compare the APR with the interest rate. The higher the fees, the bigger the gap.

Interpretation and limitations

  • Why is APR higher than the interest rate? APR includes fees that the interest rate does not. When there are no fees, APR and the interest rate are the same.
  • Should I always choose the lowest APR? APR is the best single number for comparing loans with the same term. Also consider the monthly payment, the total cost and any penalties for early repayment.
  • How is APR calculated? It is the annual rate at which the present value of all your payments equals the amount you actually receive after fees. The calculator finds it numerically for an exact result.

References

External reference verification is pending. The formula and examples describe the current ToolzHive implementation.

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Clear instructions

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How to use the APR Calculator

The APR calculator finds the real yearly cost of borrowing. Lenders often charge upfront fees on top of interest, which means you receive less money than you repay interest on. APR spreads those fees over the loan and expresses the total cost as one annual rate. This calculator solves for the exact APR from the loan amount, interest rate, term and fees.

  1. 1 Enter the loan amount, the quoted interest rate and the term.
  2. 2 Add all upfront fees, such as origination or processing charges.
  3. 3 Compare the APR with the interest rate. The higher the fees, the bigger the gap.

Example and practical tips

A $20,000 loan at 8% for 5 years with $600 in fees has a monthly payment of about $405.53. Because you effectively receive only $19,400, the true APR is about 9.30%.

Frequently asked questions

Why is APR higher than the interest rate?

APR includes fees that the interest rate does not. When there are no fees, APR and the interest rate are the same.

Should I always choose the lowest APR?

APR is the best single number for comparing loans with the same term. Also consider the monthly payment, the total cost and any penalties for early repayment.

How is APR calculated?

It is the annual rate at which the present value of all your payments equals the amount you actually receive after fees. The calculator finds it numerically for an exact result.

  • How to Use APR Calculator

    Calculate the true annual percentage rate (APR) of a loan including upfront fees, and compare it with the interest rate. Free, accurate APR calculator.

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