APR calculator with fees and compounding

Calculate the Annual Percentage Rate (APR) for loans, mortgages, and credit cards. Compare loan offers accurately by including all fees and charges in your APR calculation.

Loan Information

$
%
$

Added to loan balance (financed)

$

Paid upfront (out of pocket)

APR Calculation Results

Enter your loan information to see APR results

How to Use This APR Calculator

1

Enter Loan Details

Input your loan amount, term, and annual interest rate to establish the base loan parameters.

2

Add All Fees

Include origination fees, processing charges, closing costs, and any other loan-related expenses.

3

Set Payment Schedule

Choose your payment frequency - monthly, bi-weekly, weekly, or quarterly payments.

4

Get True APR

Receive accurate APR calculations with detailed breakdown and payment comparisons.

State-Specific APR Disclosure Tips

APR rules are national under TILA, but states add twists. Model them here before you sign.

California

The California Financing Law requires clear display of finance charges. Include prepaid points and lender fees in “fees paid separately” to mirror the disclosure on your Loan Estimate.

Texas

Texas home equity loans cap fees at 3% of the loan amount. Use the fee inputs to confirm you stay under the cap and to see how close-to-cap fees raise APR.

New York

The NYDFS requires APR disclosure on mortgage commitment letters. Add mortgage tax and title-related lender fees to see the effect on your APR before you lock.

Common Use Cases & Tips

Model real borrower situations so you can compare offers apples-to-apples and avoid surprises.

Refinance with points

Enter the new loan amount, add discount points to “fees paid separately,” and compare APR to your current rate. Points lower the nominal rate but raise APR if you sell or refinance within 3–5 years.

Biweekly mortgage

Choose biweekly payments with monthly compounding to see how 26 half-payments per year shorten the term and slightly reduce APR versus monthly payments.

Auto loan with dealer fees

Roll doc or acquisition fees into “financed fees” to see the higher payment, then try paying those fees upfront to compare how net proceeds change APR.

Short-term personal loan

Set term to months, pick weekly or daily payments, and note how prepaid origination fees can push APR into triple digits when the payoff window is short.

PMI and closing costs

Add PMI to financed fees and typical closing costs to see the total cost of a low-down-payment mortgage. Compare with a higher down payment and lower PMI or none.

Debt consolidation

Use monthly payments and include any balance transfer or origination fees. The APR will tell you whether the new loan actually beats your blended card rates.

The Formula Explained

LiteCalc mirrors calculator.net by solving for the APR as the rate that sets the present value of all payments equal to your net proceeds. It’s an IRR problem, not just a simple interest calculation.

We first compute the effective annual rate (EAR) from your nominal rate and compounding frequency: EAR = (1 + r / m)m – 1 (or er – 1 for continuous). We then convert it to a per-payment rate using your payment frequency p: i = (1 + EAR)1/p – 1.

The payment on the financed amount (loan + rolled-in fees) uses the standard annuity formula: Payment = P × i / (1 – (1 + i)-n) where n is total payments.

Finally, APR is solved by bisection so that: Net Proceeds = Σ Payment / (1 + APR/p)t. This is identical to the approach shown in Truth in Lending Act (TILA) disclosures and calculator.net’s method.

Worked example

$350,000 loan, 30-year term, 6.5% nominal, monthly compounding. Rolled-in fees: $3,000. Upfront fees: $2,000. Payments per year = 12; total payments = 360. Effective annual rate = 6.697%; rate per period = 0.539%. Monthly payment = $2,216.75. Net proceeds = $348,000. Solving the IRR yields APR ≈ 6.82%.

Understanding Your Results

Your APR shows the annualized internal rate of return (IRR) on the cash you actually receive (net proceeds) versus every payment you make. Fees paid upfront shrink net proceeds while fees financed increase the payment, so APR is almost always higher than the nominal rate.

Net proceeds

We subtract any prepaid finance charges (origination, points, processing) from the loan amount to find the cash you actually keep. Lower net proceeds push APR higher even if your monthly payment is unchanged.

Payment stream

Payments are built from the financed balance (loan amount + rolled-in fees) and the compounding you select. Choosing weekly or biweekly payments shortens payoff time and slightly lowers total interest.

True annual cost

APR annualizes the IRR of that payment stream. If you refinance or prepay early, the APR changes because the fee impact is spread over fewer periods—use the term controls to model shorter horizons.

APR Building Blocks

What is APR?

APR (Annual Percentage Rate) represents the true annual cost of borrowing money, including both the interest rate and all associated fees. Unlike simple interest rates, APR gives you a complete picture of what you'll pay for a loan.

APR vs Interest Rate

• Interest Rate: Only the cost of borrowing the principal
• APR: Interest rate + fees expressed as annual percentage
• APR is always higher than or equal to the interest rate

Why APR Matters

APR allows you to compare loan offers from different lenders on an equal basis. A loan with a lower interest rate but high fees might actually cost more than a loan with a slightly higher rate but lower fees.

Key APR Components

Interest Rate

The base percentage charged on the loan principal, typically expressed as an annual rate.

Origination Fees

Upfront fees charged by lenders for processing and creating the loan, usually 0.5% to 1% of loan amount.

Processing Fees

Administrative costs for underwriting, credit checks, and loan documentation.

Closing Costs

Fees for finalizing the loan including appraisals, title insurance, and attorney fees.

Pro Tip

When comparing loans, always look at the APR rather than just the interest rate. The difference can be significant, especially for loans with high upfront fees or shorter terms.

Additional Financial Tools

Explore our comprehensive suite of financial calculators to make informed decisions.

Frequently Asked Questions

Get answers to common questions about APR calculations and loan comparisons.

The interest rate is the cost of borrowing the principal loan amount, while APR includes the interest rate plus all additional fees and costs associated with the loan. APR gives you a more complete picture of the total cost of borrowing and is always equal to or higher than the interest rate.

APR allows you to compare loans on an equal basis by including all costs. A loan with a lower interest rate but high fees might actually be more expensive than a loan with a slightly higher rate but lower fees. APR helps you identify the true cost of each loan option.

APR typically includes origination fees, processing fees, underwriting fees, and other charges paid to the lender. It may also include some third-party fees like appraisal costs. However, it doesn't include optional fees like credit insurance or fees you can shop around for, such as title insurance.

Our APR calculator uses standard financial formulas and provides accurate estimates based on the information you provide. However, actual APRs may vary slightly depending on specific lender practices and additional fees not captured in the calculator. Always verify the final APR with your lender.

For fixed-rate loans, the APR remains constant throughout the loan term. For variable-rate loans (like adjustable-rate mortgages or variable APR credit cards), the APR can change based on market conditions or the terms specified in your loan agreement. Always check whether you're getting a fixed or variable rate.

Good APRs vary by loan type and credit score. Mortgages typically have the lowest APRs (3-7%), followed by auto loans (4-10%), personal loans (6-20%), and credit cards (15-25%). Your credit score, income, and market conditions significantly impact the APR you'll qualify for.

Both are important, but APR gives you the true cost comparison between loans. A lower monthly payment might come from a longer loan term, which could mean paying more in total interest. Use APR to compare loan costs, then consider if the monthly payment fits your budget.

Discount points (prepaid interest) are included in APR calculations. Each point typically costs 1% of the loan amount and reduces the interest rate by 0.25%. While points increase the APR initially, they can lower your overall cost if you keep the loan for its full term.

APR is used for loans and represents the cost of borrowing, while APY (Annual Percentage Yield) is used for savings accounts and represents earnings. APR helps you compare loan costs, while APY helps you compare savings account returns. Both account for compounding, but APR is what you pay, and APY is what you earn.

Use an APR calculator when comparing loan offers from different lenders, especially when the loans have different fee structures. It's also helpful when deciding whether to pay points, choosing between loan terms, or understanding the true cost of a loan before making a commitment.