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APR Calculator

Calculate the Annual Percentage Rate (APR) of a loan, which includes interest and fees.

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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    APR is the annualized monthly discount rate that equates loan proceeds after fees with all scheduled monthly payments.

  2. 2

    Values entered

    Your values are placed into the calculation.

    Enter values to see what is used in this step.

  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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How it works

Calculate the Annual Percentage Rate (APR) of a loan, which includes interest and fees.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

4
  • ?loanAmount= Loan Amount

    Number · Optional · Default: 20,000

  • ?interestRate= Interest Rate

    Number · Optional · Default: 8

  • ?term= Loan Term (Years)

    Number · Optional · Default: 5

  • ?fees= Loan Fees / Costs

    Number · Optional · Default: 500

Outputs

1
  • result Result

    Text · Primary output

result contains the calculator’s complete rendered result area, including its visible result cards, tables, charts, and messages.

Uncover the true annual cost of borrowing

Description

The APR Calculator is an essential consumer protection tool. While lenders advertise a “Nominal Interest Rate,” they often charge various fees that increase the actual cost of borrowing. This calculator performs the complex math needed to find your “Real APR”—the true annual rate that accounts for both interest and upfront fees.

Inputs

  • Loan Amount: The principal amount you are borrowing ($).
  • Interest Rate: The nominal (advertised) annual rate (%).
  • Loan Term (Years): The length of the loan repayment.
  • Loan Fees / Costs: All upfront fees (origination, processing, points, etc.) ($).

Outputs

  • Real APR: Your true annual percentage rate. This will always be higher than the nominal rate if fees are involved.
  • Monthly Payment: Your standard repayment installment.
  • Total Cost: The grand total of all interest payments plus upfront fees.

Chart

  • N/A: This tool focuses on high-precision numeric solving for the true cost of credit.

“Good to Know”

  • US law requires lenders to disclose the APR so you can easily compare two loans. A 5% loan with $5,000 in fees might be more expensive than a 5.5% loan with $0 in fees.
  • This calculator uses an iterative solving method (binary search) to find the APR, as there is no direct algebraic formula when fees are included in the initial principal calculation.
  • Fees like “Discounts Points” can lower your nominal rate but increase your APR if you don’t stay in the loan long enough to recover the cost.

Examples

Example 1: Standard Mortgage Refi

  • Input:
    • Amount: $200,000
    • Rate: 6.5%
    • Term: 30 Years
    • Fees: $4,000
  • Output:
    • Nominal Rate: 6.50%
    • Real APR: 6.689%

Example 2: Small Personal Loan (High Fee)

  • Input:
    • Amount: $5,000
    • Rate: 10%
    • Term: 3 Years
    • Fees: $250
  • Output:
    • Real APR: 13.6%
    • (Illustrates how a small fee can dramatically impact the APR on a smaller loan).

Example 3: Zero-Fee Loan

  • Input:
    • Fees: $0
  • Output:
    • Shows that the APR is exactly equal to the nominal interest rate.
Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Estimates use the rates, timing, and assumptions entered. Fees, taxes, lender rules, and future changes are included only where explicitly shown.