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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

5.6838%

0.1838 percentage points above the entered note rate.

Monthly payment
$1,136
Amount financed
$196,000

Principal minus entered prepaid charges

Finance charge
$212,808
Total of payments
$408,808

Total-payment composition

Amount financed, scheduled interest, and entered prepaid charges

$408,808

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

$408,808

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

Interest rate and APR comparison
MeasureWhat it representsEntered charges included
Note interest rateRate used to calculate scheduled interest and the monthly paymentNo
Estimated APRRate implied by the payment stream after entered prepaid charges reduce amount financedYes, for charges entered in this model

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

What each result means
ResultMeaning
Estimated APRNominal annual rate implied by the payment stream and amount financed
Monthly paymentEqual principal-and-interest payment calculated from the full loan principal and note rate
Amount financedLoan principal minus the entered prepaid finance charges
Scheduled interestTotal scheduled payments minus the original loan principal
Finance chargeTotal scheduled payments minus amount financed
Total of paymentsMonthly payment multiplied by the number of scheduled payments

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

Model coverage and exclusions
ModeledNot modeled
One fixed-rate advanceRevolving credit, multiple advances, adjustable rates, or promotional rate changes
Equal monthly principal-and-interest paymentsBalloon payments, interest-only periods, irregular payments, or negative amortization
First payment one month after borrowingOdd first periods, exact calendar dates, or daily accrual timing
Entered charges reduce amount financedFinanced fees, escrow, optional products, or legal classification of charges

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
Monthly note rate
Monthly payment
Amount financed
APR present-value equation
Estimated annual percentage rate
Total of payments
Scheduled interest
Finance charge
APR difference in percentage points

Examples

Thirty-year loan with prepaid charges

1

Input

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

2

Input

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

3

Input

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

4

Input

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.