loan calculator

APR Calculator

The APR Calculator estimates how entered finance charges change a fixed-rate loan's cash-flow rate. It starts with loan amount, note interest rate, term years and months, finance charges, and fee treatment, then reports an APR-style estimate, monthly payment, app amount-financed output, net proceeds, total payments, total interest, total cost, APR spread, and an explanatory note.

Result

Result summary: APR is 6.19%, compared with a 6.00% note rate.
APR: 6.19%
Monthly payment: $1,199.10
Amount financed: $200,000.00
Net proceeds: $196,000.00
Total payments: $431,676.38
Total interest: $231,676.38
Total cost: $435,676.38
APR spread over note rate: 0.19%
What this means: APR estimate solves an equivalent monthly rate from net proceeds and scheduled payments.

Scenario nameNotes

Save this result, then use saved scenarios to switch between assumptions.

Before you calculate

Use this calculator when you want to understand why a loan's note rate and APR-style cost can differ after selected finance charges. Use Loan Payment when fees do not matter, Personal Loan when origination fees and optional insurance are part of a personal-loan scenario, Business Loan when repayment cadence and flat business fees matter, Amortization when you need a schedule, and CFPB, Regulation Z, lender disclosures, FTC, state, local, or product-specific sources when a real legal APR, finance-charge classification, disclosure, approval, underwriting, advertising, or jurisdiction-specific answer is needed.

Formula summary

The app rounds paymentCount with loanTermYears * 12 + loanTermMonths and converts the entered note rate to a monthly decimal rate with interestRate / 100 / 12. In prepaid mode, amount financed stays equal to loanAmount and net proceeds equal loanAmount - financeCharges. In financed mode, amount financed equals loanAmount + financeCharges and net proceeds are the original loan amount in this model. Monthly payment uses PMT = P * m / (1 - (1 + m)^-n), with P / n for a 0 percent note rate. Total payments equal monthly payment times paymentCount. Total interest equals total payments minus original loan amount, so financed-charge repayment can appear inside this output in financed mode. Total cost adds finance charges only in prepaid mode. APR is the annualized monthly rate solved from net proceeds versus scheduled payments, and APR spread subtracts the entered note rate.

Worked example

Example: prepaid and financed charges

With the default inputs, a $200,000 loan amount, 6 percent note rate, 30 years, 0 months, $4,000 finance charges, and prepaid fee treatment produce a 6.19% APR estimate, $1,199.10 monthly payment, $200,000.00 amount financed, $196,000.00 net proceeds, $431,676.38 total payments, $231,676.38 total interest, $435,676.38 total cost, and a 0.19% APR spread. With the same loan and financed fee treatment, the app reports the same 6.19% APR estimate but a $1,223.08 monthly payment, $204,000.00 amount financed, $200,000.00 net proceeds, $440,309.91 total payments and total cost, and $240,309.91 total interest. In the short-prepaid validation scenario, $75,000 at 7.25 percent for 8 years and 6 months with $2,500 prepaid charges reports an 8.14% APR estimate and $987.13 monthly payment. In the zero-rate-financed scenario, a $30,000 loan with $1,250 financed charges over 5 years reports a $520.83 monthly payment and 1.62% APR estimate.

The examples show how the app separates note rate, fee treatment, modeled cash received, payment base, total payments, and APR-style solve. They are not lender quotes, legal APR disclosures, finance-charge classifications, approval decisions, product comparisons, or borrowing advice.

Assumptions

The calculator models one fixed-rate monthly-payment loan with user-entered finance charges. A positive payment term is required for the formulas to be meaningful. It does not decide which real charges are legally included, excluded, refundable, optional, creditor-imposed, insurance-related, prepaid, financed, product-specific, or jurisdiction-specific.
The Amount financed output is the app's payment base for this model, not a formal Regulation Z amount-financed disclosure. Prepaid mode reduces modeled cash received, while financed mode adds the charges to the payment base and leaves modeled net proceeds at the original loan amount.
Scoped independent comparator checks pass 4 of 4 scoped fixtures for overlapping APR, monthly payment, amount-financed, net-proceeds, total-payment, and total-cost outputs. CFPB APR guidance is needed for note-rate versus APR context; Regulation Z section 1026.4 for finance-charge classification; sections 1026.18 and 1026.22 plus Appendix J for closed-end disclosure and APR-computation claims; and lender, FTC, state, local, or other regulator sources for product-specific, advertising, timing, jurisdiction-specific, approval, underwriting, legal, or borrower-rights claims. The page does not model variable rates, irregular payment dates, odd first periods, daily interest accrual, mortgage-specific Loan Estimate or Closing Disclosure rules, credit-card APR rules, auto-loan dealer products, late fees, prepayment rules, lender credits, tax treatment, approval, underwriting, or legal disclosures. Results are educational estimates, not financial, tax, legal, lending, credit, consumer-rights, regulatory, or personalised advice.

Common mistakes to avoid

Treating the note rate and APR-style estimate as the same when selected fees reduce cash received or change the payment base. The spread output exists to make that difference visible.
Reading Finance charges or Amount financed as legal disclosure answers. The user chooses a single finance-charge amount and fee treatment; the app does not classify real charges under Regulation Z or any local law.
Comparing APR-style estimates across different loan products without checking whether payment timing, fee inclusion, lender disclosures, credit insurance, taxes, dealer add-ons, mortgage rules, or local regulation use the same assumptions.

Methodology and sources

This calculator is an original implementation based on documented formulas, app-specific assumptions, deterministic fixtures, edge cases, rounding policy tests, and internal validation. It is not copied from a single source.

Outputs are checked with deterministic fixtures, edge cases, rounding policy tests, and internal independent comparator checks where overlapping outputs are available. The result remains an educational estimate, not a quote, approval, tax answer, or personalised advice.

Formula version 2026.05.22-generic-apr. The version marks the calculation logic and validation fixture set used for this estimate.

CFPB APR versus interest-rate guidance should be used when copy explains how a note rate differs from an APR that includes selected lender fees.
CFPB Regulation Z section 1026.4 should be used when copy discusses finance-charge classification, included or excluded fees, insurance premiums, or creditor-imposed charges.
CFPB Regulation Z sections 1026.18 and 1026.22 plus Appendix J should be used when copy discusses amount financed, prepaid finance charges, payment schedule, total of payments, APR determination, or closed-end APR computation methods.
Lender disclosures and relevant local regulator sources should be used before copy makes product-specific, jurisdiction-specific, mortgage, auto-loan, credit-card, timing, advertising, or fee-treatment claims.

Estimate only

The result is educational and is not financial, tax, legal, lending, investment, or regulated advice. Real provider terms, fees, rates, taxes, and personal circumstances can change the final answer.

Formula and help: read the full apr calculator methodology notes.