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Annual APR Calculator

Annual apr calculator works out Annual percentage rate and Amount financed from Credit type, Amount borrowed and Prepaid finance charges. The default figures on this page give annual percentage rate of 6.0000 %; change any entry and the result, the working and the sources update together.

Annual percentage rate
6.0000 %
APR Calculator
Amount financed
100,000.00
Finance charge
115,838.19
Finance charge per $100 financed
115.8382
Total of payments
215,838.19
Payment per period
599.55
Unit-period rate
0.500000 %
Daily periodic rate
0.01643836 %
Effective annual rate (compounded)
6.1678 %
Worked out from 12 CFR 1026.22 (Regulation Z) - Determination of the annual percentage rate and 3 other sources.
A Regulation Z-style computation on the figures you enter. The APR your lender must disclose depends on which charges are finance charges under 12 CFR 1026.4 and on the exact payment schedule; only the lender disclosure is authoritative.

Your figures

Updates as you type
Principal before prepaid charges; for a merchant cash advance, the amount advanced.
Points, origination and other charges deducted from the proceeds or paid at closing.
Used to derive the payment when you do not enter one.
Overrides the payment derived from the note rate.
12 monthly, 26 fortnightly, 52 weekly, 252 for daily business-day remittances.
The disclosed annual percentage rate on the card.
Enter this instead of the APR to recover the APR from a statement, per 1026.14(c).
Merchant cash advance multiple, e.g. 1.4 means repaying 1.4 times the advance.

How this is worked out

6 steps
  1. Payment on 100000 at 6% over 360 periods = 599.55
  2. Amount financed = 100000 - 0 = 100000 (12 CFR 1026.18(b))
  3. Finance charge = 360 x 599.55 - 100000 = 115838.19
  4. Unit-period rate solving 100000 = payment x annuity factor is 0.5% per period
  5. APR = 0.5% x 12 periods = 6%
  6. Finance charge per $100 financed = 100 x 115838.19 / 100000 = 115.8382
Payment scheduletable
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120599.55

First 120 of 360 rows.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
12 CFR 1026.22 (Regulation Z) - Determination of the annual percentage rate
Requires the actuarial method (or the US Rule) with the tolerances stated there.
Appendix J to 12 CFR Part 1026 - Annual percentage rate computations for closed-end credit transactions
The APR is the nominal annual rate found by multiplying the unit-period rate by the number of unit periods in a year.
12 CFR 1026.14 (Regulation Z) - Determination of the annual percentage rate for open-end credit
APR = periodic rate x periods per year; equivalently the period finance charge over the balance, annualised.
12 CFR 1026.18(b) and 1026.4 (Regulation Z) - Amount financed and finance charge
The amount financed is the principal less prepaid finance charges; the finance charge is the total cost of credit.

Keep this result

Save it, change one figure, then compare the two

The calculation stays free. Save this scenario, adjust one assumption, save that too, and put them side by side to see exactly what the change costs you. A free account keeps 5 scenarios and 2 comparisons; Personal makes both unlimited and adds exports and private links. Nothing is saved unless you press Save.

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What the annual apr calculator calculates

Computes the Regulation Z annual percentage rate from the amount financed, the payments and the prepaid finance charges - for closed-end instalment loans, credit-card balances quoted by periodic rate, and merchant cash advances quoted as a factor rate.

How to use this annual apr calculator

Enter Credit type, Amount borrowed, Prepaid finance charges and Note interest rate. Annual percentage rate updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Annual percentage rate, Amount financed and Finance charge.

The method follows 12 CFR 1026.22 (Regulation Z) - Determination of the annual percentage rate, Appendix J to 12 CFR Part 1026 - Annual percentage rate computations for closed-end credit transactions, 12 CFR 1026.14 (Regulation Z) - Determination of the annual percentage rate for open-end credit and 12 CFR 1026.18(b) and 1026.4 (Regulation Z) - Amount financed and finance charge.

No prepaid charges: the APR equals the note rate example

With Amount borrowed: 100000, Note interest rate: 6, Number of payments: 360, Payments per year: 12, the calculator returns Annual percentage rate: 6, Amount financed: 100000. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Annual percentage rate, Amount financed and Finance charge. The inputs you can vary are Credit type, Amount borrowed, Prepaid finance charges, Note interest rate, Payment per period and Number of payments.

Understanding Annual percentage rate, Amount financed and Finance charge

A Regulation Z-style computation on the figures you enter. The APR your lender must disclose depends on which charges are finance charges under 12 CFR 1026.4 and on the exact payment schedule; only the lender disclosure is authoritative.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How much is 26.99 APR on $3000?

On the figures this page opens with — amount borrowed 100,000 and note interest rate 6 percent/year — the annual percentage rate is 6%. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

How to calculate annual APR?

Computes the Regulation Z annual percentage rate from the amount financed, the payments and the prepaid finance charges - for closed-end instalment loans, credit-card balances quoted by periodic rate. Open “How this is worked out” beside the result to see each step for your own figures.

What is 4% APR on $100,000?

Computes the Regulation Z annual percentage rate from the amount financed, the payments and the prepaid finance charges - for closed-end instalment loans, credit-card balances quoted by periodic rate. On this page it is computed from Credit type, Amount borrowed and Prepaid finance charges and shown as Annual percentage rate, Amount financed and Finance charge.

What is 20% APR monthly?

It needs Credit type, Amount borrowed, Prepaid finance charges, Note interest rate, Payment per period and Number of payments. Nothing else is required, and the figures stay in your browser.

What information do I need for the annual apr calculator?

You need Credit type, Amount borrowed, Prepaid finance charges, Note interest rate, Payment per period, Number of payments, Payments per year and Card balance. The page opens with default figures that give annual percentage rate of 6.0000 %, so you can see the scale before entering your own.

What does this annual apr calculator show?

It shows Annual percentage rate, Amount financed, Finance charge, Finance charge per $100 financed, Total of payments, Payment per period, Unit-period rate and Daily periodic rate, with the working and any warnings for your entries.

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