APR Calculator
Map nominal rates and origination fees to isolate the real APR. Use Newton-Raphson iteration for precise actuarial results across variable frequencies.
Please configure parameters and execute the action.
About APR Calculator
APR Calculator estimates the real annual percentage rate for both standard loans and mortgages. The mortgage mode uses the home value, down payment, lender fees, points, and optional PMI to estimate a more realistic mortgage APR.
How To Use It
Choose the APR type that matches your financing, enter the required values, and compare the total cost shown in the result table.
- Use General APR for personal, auto, or business loans where you know the borrowed amount, compounding pattern, payment frequency, and fees.
- Use Mortgage APR when you want the calculation to include house value, down payment, discount points, loan fees, and optional PMI.
- Review the real APR together with the payment totals so you can compare quoted rates against the true borrowing cost.
Examples
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Standard loan
Loan Amount: 100000 Interest Rate: 5% Loan Term: 10 years Upfront Fees: 1000
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Mortgage estimate
House Value: 350000 Down Payment: 20% Interest Rate: 5.5% Loan Term: 30 years Loan Fees: 3000
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Mortgage with points and PMI
Points: 1 PMI: 1800 per year Result: APR rises when upfront finance charges or PMI are added
Real-World Usage Scenarios
- Comparing Personal Loan Offers - Fees vs. Rates - Financial institutions often offer low interest rates but charge high processing fees. Use the General APR tab to input both the nominal rate and upfront fees to determine which loan is actually cheaper over the full term.
- Evaluating Mortgage Discount Points - Lenders allow you to pay 'points' upfront to lower your monthly interest rate. This tool calculates whether the upfront cost of those points effectively lowers the APR enough to justify the initial expenditure based on how long you plan to keep the home.
- Impact of Private Mortgage Insurance (PMI) - If your down payment is less than 20%, PMI adds a significant monthly cost. By entering the annual PMI amount, you can see how this extra protection fee for the lender increases your real annual percentage rate.
- Business Equipment Financing Analysis - When financing machinery or vehicles, lenders may roll documentation and origination fees into the loan. Use the 'Loaned Fees' field to see how financing these costs, rather than paying them out of pocket, impacts the total cost of capital.
Frequently Asked Questions
What is the difference between Interest Rate and APR?
The interest rate is the cost of borrowing the principal amount. The APR is a broader measure that includes both the interest rate and other costs such as lender fees, closing costs, and insurance, providing a more accurate yearly cost of the loan.
Why is my APR higher than the rate quoted by my bank?
The APR is almost always higher because it factors in mandatory costs like origination fees, mortgage points, and PMI. If a bank quotes a 5% rate with $2,000 in fees, the APR might be 5.3%.
How do mortgage points affect the APR calculation?
One point usually equals 1% of the loan amount. While points lower the interest rate, they are an upfront cost. This calculator adds that cost to the finance charge, which typically raises the APR relative to the nominal rate.
Does this tool account for compounding frequency?
Yes. You can adjust the compound frequency (e.g., Monthly, Semi-Annually) and the payment frequency to match your specific loan agreement, as these factors significantly influence the final APR.
