APR Calculator
Calculate Annual Percentage Rate (APR) including all fees and true cost of borrowing.
Loan Information
Fees & Charges
APR vs Interest Rate: APR includes fees and shows the true cost of borrowing, while interest rate only shows the cost of the principal.
Annual Percentage Rate (APR)
6.586%
vs 5% nominal rate
Rate Comparison
Total Cost Breakdown
Understanding APR (Annual Percentage Rate)
APR (Annual Percentage Rate) represents the true yearly cost of borrowing money, expressed as a percentage. Unlike the simple interest rate, APR includes additional fees and costs, giving you a more accurate picture of what a loan actually costs.
Why APR matters:
- True cost comparison: Compare loans from different lenders fairly
- Includes all fees: Origination fees, closing costs, and other charges
- Required by law: Truth in Lending Act mandates APR disclosure
- Standardized metric: Calculated the same way across all lenders
Key distinction:
APR is always equal to or higher than the stated interest rate because it includes additional borrowing costs. A loan advertised at 5% interest might have a 5.25% APR after including fees.
APR Calculation Formula
APR can be calculated using several methods, but the most common approach is:
APR Formula
Where:
- Total Interest= Sum of all interest payments over the loan term
- Fees= Origination fees, closing costs, points, and other charges
- Principal= Amount borrowed (loan amount)
- n= Loan term in days
APR vs. Interest Rate
Interest Rate:
- The base cost of borrowing money
- Expressed as a percentage of the principal
- Does not include fees or other costs
- Used to calculate your monthly payment amount
APR:
- Includes interest rate PLUS fees and costs
- Better reflects total borrowing cost
- Always equal to or higher than interest rate
- Best metric for comparing loan offers
Example comparison:
- Loan A: 4.5% interest rate, $3,000 fees = 4.75% APR
- Loan B: 4.75% interest rate, $500 fees = 4.85% APR
- Despite lower interest rate, Loan A has a higher APR due to fees
When rates matter more than APR:
If you plan to pay off the loan early or refinance, the interest rate may matter more since you won't pay fees over the full term.
APR vs. APY (Annual Percentage Yield)
APY accounts for compound interest:
- APR: Simple interest calculation, ignores compounding
- APY: Includes effect of interest compounding on interest
- For savings: APY shows true earnings (APY ≥ APR)
- For loans: APR is standard, but effective rate may be higher with compounding
Effective APR Formula (with compounding):
Effective APR = (1 + r/n)^n - 1
Where r = nominal rate, n = compounding periods per year
Example:
- Credit card: 18% APR compounded daily
- Effective APR: (1 + 0.18/365)^365 - 1 = 19.72%
- The compounding adds 1.72% to your actual cost
Rule of thumb:
- For loans: Lower APR = better deal
- For savings: Higher APY = better deal
How to Use This Calculator
Our APR calculator helps you determine the true cost of borrowing:
- Enter Loan Details:
- Loan amount (principal)
- Stated interest rate
- Loan term (months or years)
- Add Fees and Costs:
- Origination fees
- Closing costs
- Points purchased
- Other fees
- View Results:
- Calculated APR
- Monthly payment
- Total interest paid
- Total cost of the loan
Use the calculator to compare multiple loan offers by entering each one and comparing APRs.
Fees Included in APR Calculations
Fees typically included in APR:
- Origination fees: 0.5-1% of loan amount
- Discount points: 1 point = 1% of loan amount
- Mortgage insurance premiums: Required with low down payment
- Closing costs: Title insurance, escrow fees, etc.
- Prepaid interest: Interest from closing to first payment
Fees typically NOT included in APR:
- Title search and insurance (varies by lender)
- Property appraisal fees
- Credit report fees
- Home inspection fees
- Property taxes and homeowners insurance
Important: Different lenders may include different fees in their APR calculations. Always request a Loan Estimate form for complete cost disclosure.
Types of APR
Fixed APR:
- Rate stays the same for the entire loan term
- Predictable payments
- Common for mortgages, auto loans, personal loans
Variable APR:
- Rate changes based on an index (Prime rate, LIBOR)
- May start lower than fixed rates
- Payments can increase significantly
- Common for credit cards, HELOCs, some mortgages
Introductory/Promotional APR:
- Low rate for limited time (0% for 12-18 months)
- Reverts to regular APR after promotional period
- Common for balance transfer offers
- Read fine print for terms and conditions
Penalty APR:
- Higher rate triggered by late payments
- Can be 25-30% or higher
- May apply to entire balance
- Avoid by paying on time
Worked Examples
Mortgage APR Comparison
Problem:
Compare two mortgage offers: Loan A has 6.5% rate with $4,000 fees, Loan B has 6.75% rate with $1,500 fees. Both are $300,000 for 30 years.
Solution Steps:
- 1Loan A: 6.5% rate, $4,000 fees on $300,000
- 2Monthly payment at 6.5%: $1,896
- 3Total interest: $382,633
- 4Total cost: $382,633 + $4,000 = $386,633
- 5APR ≈ 6.62%
- 6Loan B: 6.75% rate, $1,500 fees on $300,000
- 7Monthly payment at 6.75%: $1,946
- 8Total interest: $400,452
- 9Total cost: $400,452 + $1,500 = $401,952
- 10APR ≈ 6.79%
Result:
Loan A has lower APR (6.62% vs 6.79%) and lower total cost ($386,633 vs $401,952) despite the higher fees. The lower interest rate saves more than the extra upfront costs.
Credit Card Effective APR
Problem:
A credit card has 21% APR compounded daily. What is the effective annual rate?
Solution Steps:
- 1APR = 21% (0.21)
- 2Compounding periods = 365 (daily)
- 3Daily rate = 0.21 / 365 = 0.0575%
- 4Effective APR = (1 + 0.21/365)^365 - 1
- 5Effective APR = (1.000575)^365 - 1
- 6Effective APR = 1.2336 - 1 = 0.2336
Result:
The effective APR is 23.36%, almost 2.4 percentage points higher than the stated 21% APR due to daily compounding.
Short-Term Loan APR
Problem:
A 6-month personal loan of $10,000 at 8% interest with $300 origination fee. What's the APR?
Solution Steps:
- 1Principal: $10,000
- 2Interest for 6 months: $10,000 × 8% × 0.5 = $400
- 3Total fees: $300
- 4Total cost: $400 + $300 = $700
- 5APR = ($700 / $10,000) / (180/365) × 100
- 6APR = 0.07 / 0.493 × 100
- 7APR ≈ 14.2%
Result:
The APR is approximately 14.2%, significantly higher than the 8% interest rate due to the $300 fee being spread over only 6 months.
Tips & Best Practices
- ✓Always compare APRs, not just interest rates, when shopping for loans
- ✓Request Loan Estimate forms from multiple lenders for accurate APR comparison
- ✓For short-term loans, fees have a bigger impact on APR—negotiate or shop around
- ✓Watch for variable APR triggers like late payments or promotional period endings
- ✓Calculate your break-even point when comparing high-fee/low-rate vs low-fee/high-rate options
- ✓Check if APR includes mortgage insurance—it significantly affects total cost
- ✓For credit cards, pay in full each month to effectively pay 0% interest
- ✓Read the fine print on promotional APR offers for deferred interest clauses
Frequently Asked Questions
Sources & References
Last updated: 2026-01-22