APR Calculator
Compare a loan's note interest rate with an estimated annual percentage rate. Enter principal, note rate, term, and prepaid finance charges to calculate monthly payment, amount financed, scheduled interest, finance charge, total payments, fee effect, and the APR implied by the regular payment stream.
Loan assumptions
Fixed rate, equal monthly payments, and prepaid finance charges
The balance used to calculate the scheduled payment.
The nominal annual rate used to calculate the monthly payment.
The term must convert to a whole number of monthly payments. For example, 5.5 years equals 66 months.
Enter only charges intentionally included in this estimate. They reduce amount financed rather than being added to principal.
Do not automatically enter every closing cost. This calculator cannot determine which charges belong in an official APR disclosure.
Estimated APR
0.1838 percentage points above the entered note rate.
- Monthly payment
- $1,136
- Amount financed
- $196,000
- Finance charge
- $212,808
- Total of payments
- $408,808
Principal minus entered prepaid charges
Total-payment composition
Amount financed, scheduled interest, and entered prepaid charges
Amount financed
$196,000
Scheduled interest
$208,808
Prepaid charges
$4,000
Loan cost and APR breakdown
Rate comparison
Note rate
5.5%
Estimated APR
5.6838%
Credit received
Principal
$200,000
Amount financed
$196,000
Borrowing cost
Scheduled interest
$208,808
Finance charge
$212,808
Total-payment composition
Amount financed, scheduled interest, and entered prepaid charges
Amount financed
$196,000
Scheduled interest
$208,808
Prepaid charges
$4,000
How the estimate is produced
The payment is calculated from the full principal and note rate. APR is then solved using the smaller amount financed while keeping the same payment stream.
- APR above note rate
- +0.1838 points
- Charges as share of principal
- 2%
- Scheduled payments
- 360
This is a regular equal-monthly-payment estimate. Exact lender disclosures can differ because of charge classification, payment dates, irregular periods, financed fees, payment rounding, or other loan terms.
What This APR Calculator Estimates
This calculator estimates the nominal annual percentage rate for a regular fixed-rate installment loan with one advance and equal monthly payments.
The scheduled payment is calculated from the full principal and note interest rate. Entered prepaid finance charges are then subtracted from principal to form the modelled amount financed.
The calculator solves for the monthly rate that makes the present value of the scheduled payments equal that smaller amount financed, then multiplies the monthly rate by 12 to produce the estimated APR.
A higher entered prepaid charge generally raises the estimated APR because the borrower receives less modelled credit while making the same payment stream.
How to Use the APR Calculator
Enter the loan principal, nominal annual note rate, loan term, and prepaid finance charges you intentionally want included.
The term can be entered in years, including values such as 5.5 years, as long as it converts to a whole number of monthly payments.
Review the estimated APR, monthly payment, amount financed, finance charge, total payments, and the difference between the note rate and APR.
Open the detailed breakdown to compare principal with amount financed and scheduled interest with total finance charge.
Interest Rate Versus APR
The note interest rate determines the scheduled principal-and-interest payment on the stated loan balance.
APR is a broader borrowing-cost measure because it relates the amount and timing of credit received to the amount and timing of payments, including qualifying charges reflected in amount financed.
A loan can therefore keep the same monthly payment while showing a higher APR when prepaid finance charges reduce the amount financed.
The regulatory terminology in this page follows U.S. Regulation Z. Charge treatment can differ by transaction and jurisdiction.
Interest rate and APR comparison
Swipe horizontally to view the full table.
How Prepaid Charges Raise the Estimated APR
The calculator assumes entered prepaid charges reduce the credit represented by the transaction rather than increasing the principal balance.
Payments are still calculated from the full principal. APR is solved against the smaller amount financed.
Receiving less net credit while making the same scheduled payments increases the rate implied by the payment stream.
Amount Financed Is Not the Same as Principal
Principal is the balance used to calculate the scheduled payment.
Amount financed is principal minus the entered prepaid finance charges under this calculator's assumptions.
For a $200,000 principal with $4,000 of entered prepaid charges, amount financed is $196,000 while the payment remains based on $200,000.
Do Not Enter Every Closing Cost Automatically
Not every closing or origination cost is necessarily a finance charge for an official APR calculation.
Treatment can depend on the type of credit, the specific charge, who requires it, and applicable rules.
Use the lender's official disclosures or qualified professional guidance when deciding which charges legally belong in APR.
How the APR Is Solved
The calculator first computes the regular monthly payment from principal, note rate, and the number of payments.
It then finds the monthly actuarial rate that makes the present value of those payments equal amount financed.
Because the rate is implicit in the present-value equation, the calculator uses an iterative numerical search.
For monthly payment periods, the estimated APR is the nominal annual rate: the solved monthly rate multiplied by 12. It is not the effective annual yield produced by compounding that rate for 12 months.
Finance Charge Versus Scheduled Interest
Scheduled interest equals total scheduled payments minus principal.
Finance charge in this model equals total scheduled payments minus amount financed.
Because amount financed is principal minus entered prepaid charges, finance charge equals scheduled interest plus those charges.
What each result means
Swipe horizontally to view the full table.
Using APR to Compare Loan Offers
APR is most useful when comparing loans with similar principal, term, payment structure, and purpose.
Compare APR alongside monthly payment, upfront cash, note rate, total payments, prepayment terms, and the expected time you will keep the loan.
A borrower who refinances or repays early can experience upfront charges differently because those costs are spread across fewer months.
Why an Official APR Can Differ
Official calculations can depend on exact dates, irregular periods, payment rounding, financed charges, regulatory treatment of individual costs, and the actual contractual payment schedule.
This calculator assumes one advance followed by equal end-of-month payments beginning one month later.
It is suitable for education and initial comparison, not lender-disclosure or regulatory-compliance testing.
Model coverage and exclusions
Swipe horizontally to view the full table.
Privacy and Appropriate Use
The calculation, cost comparison, print output, and CSV report are generated locally in the browser.
The current loan inputs are saved in browser local storage so they can reappear on the same device. Reset replaces them with the default values rather than deleting the storage keys.
The interface can read valid assumptions supplied through existing URL parameters, but it does not generate a new public sharing link.
The result is not a loan offer, official disclosure, appraisal, underwriting decision, or legal determination of finance charges.
APR and Loan-Cost Formulas
The monthly payment uses the note rate. APR is the monthly actuarial rate that discounts the same payment stream to amount financed.
Formula variables
- Loan principal
- Nominal annual note rate entered as a percentage
- Monthly note rate
- Equal monthly principal-and-interest payment
- Number of monthly payments
- Entered prepaid finance charges
- Amount financed
- Solved monthly APR rate written as a decimal
- Total of scheduled payments
- Total scheduled interest
- Finance charge under the entered assumptions
Examples
Thirty-year loan with prepaid charges
1Input
Principal $200,000; note rate 5.5%; term 30 years; prepaid finance charges $4,000.
Show result
Result
Monthly payment is approximately $1,135.58, amount financed is $196,000, and estimated APR is approximately 5.683836%.
Scheduled interest is approximately $208,808.08 and finance charge is approximately $212,808.08.
Five-year personal loan with an origination charge
2Input
Principal $20,000; note rate 8.99%; term 5 years; prepaid finance charge $800.
Show result
Result
Monthly payment is approximately $415.07 and estimated APR is approximately 10.750559%.
The entered charge reduces amount financed to $19,200 while payment remains based on $20,000.
Loan with no entered charges
3Input
Principal $100,000; note rate 6.5%; term 20 years; prepaid finance charges $0.
Show result
Result
Under the regular-payment assumptions, estimated APR equals the 6.5% note rate.
Zero-interest loan with a prepaid charge
4Input
Principal $1,000; note rate 0%; term 1 year; prepaid finance charge $100.
Show result
Result
Monthly payment is approximately $83.33, but estimated APR is approximately 19.912414%.
A zero note rate does not produce a zero APR when obtaining the credit requires an entered prepaid finance charge.
Frequently Asked Questions
What is the difference between interest rate and APR?
The note interest rate determines scheduled interest and payment. APR also reflects qualifying borrowing costs included in the calculation.
Why is APR higher than the note rate?
Entered prepaid charges reduce amount financed while payments remain based on the full principal.
What does amount financed mean in this calculator?
It is principal minus the entered prepaid finance charges.
Does APR include every closing cost?
No. Whether a charge belongs in an official APR depends on the transaction, charge, and applicable rules.
Are the fees added to the loan balance?
No. This model assumes they reduce amount financed while the payment remains based on the entered principal.
Why is finance charge larger than scheduled interest?
Finance charge includes scheduled interest plus the prepaid finance charges entered in this model.
What is total of payments?
It is the monthly principal-and-interest payment multiplied by the number of scheduled payments.
Why can a zero-interest loan have a positive APR?
A required prepaid charge can create a borrowing cost even when scheduled interest is zero.
Can I enter a term such as 5.5 years?
Yes. The entered term must convert to a whole number of monthly payments; 5.5 years equals 66 months.
Can I use this for adjustable-rate or interest-only loans?
No. The calculator assumes one fixed note rate and equal fully amortizing monthly payments.
Can I use it for credit cards?
No. Credit cards are revolving open-end credit and require a different calculation model.
Is this APR an effective annual interest rate?
No. It is a nominal annual percentage rate calculated as 12 times the solved monthly rate, consistent with the regular monthly model used here.
Will this match a lender's APR exactly?
Not necessarily. Exact dates, included charges, irregular periods, payment structure, financed fees, and official rounding can change the disclosed APR.
Does paying the loan off early change the calculated APR?
The calculated contractual APR does not retroactively change, but the realized cost over a shorter holding period can differ because upfront charges are spread across fewer months.
Are my loan assumptions uploaded or published?
They are not uploaded by the calculator. The current inputs are saved in browser local storage on the device so they can reappear later, and the interface does not generate a public assumptions link.
References
You might also like
Loan Calculator
Calculate a fixed-rate monthly loan payment, total interest, payoff date, extra-payment savings, and amortization schedule.
Mortgage Calculator
Estimate fixed-rate mortgage payments, total interest, upfront cash, payoff date, extra-payment savings, and a complete amortization schedule.
Credit Card Payoff Calculator
Estimate how long a credit-card balance will take to repay or calculate the monthly payment required for a target timeline.
Platform Payout & Fee Calculator
Estimate platform payout, fee leakage, tax reserves, or the gross sales needed to reach a target take-home amount.