APR Calculator - Annual Percentage Rate APR Calculator

Find the true annual percentage rate of a loan, including fees and charges, to compare loan offers accurately.

Loan Details

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yrs

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APR (Annual Percentage Rate) 0%
Nominal Interest Rate 0%
Monthly Payment (with fees) 0
Monthly Payment (without fees) 0
Total Interest (at APR) 0
Total Interest (without fees) 0
Total Cost of Loan 0
Fees as % of Loan 0%

APR Calculator - Guide

What is APR?

APR (Annual Percentage Rate) represents the true yearly cost of borrowing money. It includes the nominal interest rate plus any mandatory fees and charges, spread over the loan term. Lenders are required to disclose APR to help borrowers compare loan offers.

APR vs Interest Rate

  • Interest Rate: The cost of borrowing the principal only, expressed as an annual percentage.
  • APR: Includes the interest rate PLUS fees (origination, closing costs, points, etc.) — always ≥ interest rate.
  • When APR = Rate: This means there are zero additional fees on the loan.

How APR is Calculated

Step 1: Compute monthly payment using the nominal interest rate.

Step 2: Add all fees to the loan amount to get the "financed amount".

Step 3: Find the rate that makes the present value of monthly payments equal to Loan Amount − Fees (i.e. the net amount received).

This is solved iteratively using Newton's method to find the effective monthly rate, then converted to an annual rate: APR = monthly rate × 12.

How to Use

  1. Loan Amount: The total amount borrowed.
  2. Interest Rate: The nominal annual rate quoted by the lender.
  3. Loan Term: Duration of the loan in years.
  4. Total Fees: All upfront fees and charges (origination, closing costs, etc.).

Common Fees Included in APR

  • Origination fees
  • Closing costs
  • Discount points
  • Mortgage insurance premiums
  • Broker fees

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