APR vs APY Calculator
Convert between Annual Percentage Rate and Annual Percentage Yield
APR vs APY — What's the Difference?
APR
Annual Percentage Rate is the simple interest rate without compounding. Used commonly for loans, mortgages, and credit cards.
APY
Annual Percentage Yield includes the effect of compounding. Used for savings accounts, CDs, and investments. APY is always ≥ APR.
Use the APR vs APY calculator above to instantly convert between Annual Percentage Rate (APR) and Annual Percentage Yield (APY) with full precision. Whether you are evaluating a savings account, comparing CD rates, analyzing loan costs, or understanding how compounding affects your money, this free online APR vs APY calculator provides two powerful conversion modes — APR to APY and APY to APR — with seven compounding frequency options. Simply enter your rate, select the compounding frequency, and click “Calculate” for instant results with a clear explanation of the difference.
Below you will find a complete step‑by‑step guide on how to use both tabs of the APR vs APY calculator, detailed explanations of every concept, the science behind compounding, worked examples for different scenarios, and answers to frequently asked questions.
What Is APR?
APR (Annual Percentage Rate) is the simple interest rate expressed on a yearly basis without accounting for compounding. It is the rate that lenders are legally required to disclose when offering loans, mortgages, credit cards, and lines of credit.
📊 APR — Annual Percentage Rate
APR is the simple interest rate without compounding. Used commonly for loans, mortgages, and credit cards. It tells you the basic cost of borrowing per year, but does NOT reflect the true cost when interest compounds multiple times per year.
For example, if a credit card charges 18% APR with monthly compounding, you are not actually paying exactly 18% per year — you are paying more because interest is calculated and added to your balance 12 times per year. The true cost is revealed by the APY.
What Is APY?
APY (Annual Percentage Yield) is the effective annual rate that includes the effect of compounding. It tells you the actual rate of return you earn on savings or the true cost you pay on loans when interest compounds more than once per year.
📈 APY — Annual Percentage Yield
APY includes the effect of compounding. Used for savings accounts, CDs, money market accounts, and investments. APY is always greater than or equal to APR. The more frequently interest compounds, the higher the APY compared to the stated APR.
When a bank advertises a “5% APY” on a savings account, they are telling you the true annual return including compounding. This is the number you should focus on when comparing savings products — it represents what you actually earn.
How to Use the APR vs APY Calculator
The APR vs APY calculator features two tabs for bidirectional conversion. Here is exactly how to use each one:
Tab 1: APR → APY (Convert APR to APY)
- Select the APR → APY Tab — Click the “APR → APY” tab at the top of the calculator. This mode converts a stated APR into its effective APY equivalent.
- Enter the APR — In the “Annual Percentage Rate (APR)” field, type the APR percentage. For example, enter 12 for a 12% APR.
- Select Compounding Frequency — Use the dropdown to choose how often interest compounds. Options include: Daily (365), Weekly (52), Bi‑Weekly (26), Monthly (12), Quarterly (4), Semi‑Annually (2), and Annually (1). For most savings accounts and loans, Monthly (12) is standard.
- Click “Calculate APY” — Press the yellow “Calculate APY” button to see the effective APY. The result panel displays the APY in large yellow text along with a summary showing the APR, compounding frequency, and the difference between APY and APR.
Example Result
APR: 12.0000% | Compounding: Monthly (12×/yr) → APY: 12.6825%. With compounding, APY is +0.6825% higher than APR.
Tab 2: APY → APR (Convert APY to APR)
APY → APR Tab
Enter the effective APY and compounding frequency to find the equivalent simple APR. This is useful when you know the true yield but need to express it as a simple rate.
- Select the APY → APR Tab — Click the “APY → APR” tab at the top.
- Enter the APY — In the “Annual Percentage Yield (APY)” field, type the effective annual yield. For example, enter 12 for 12% APY.
- Select Compounding Frequency — Choose the compounding frequency from the dropdown. For example, select Daily (365) for daily compounding.
- Click “Calculate APR” — The tool displays the equivalent APR along with a summary showing how much lower the simple rate is compared to the APY.
For example, a 12% APY with daily compounding equals an APR of 11.3346%. The equivalent simple rate is −0.6654% lower than the APY.
Understanding Compounding Frequency
The compounding frequency determines how often interest is calculated and added to your balance. More frequent compounding means your interest earns interest more often, resulting in a higher APY.
| Compounding Frequency | Times Per Year | Typical Use | Impact on APY |
|---|---|---|---|
| Daily | 365 | High‑yield savings, money market accounts | Highest APY — maximum compounding |
| Weekly | 52 | Some online savings accounts | Near‑daily levels of compounding |
| Bi‑Weekly | 26 | Bi‑weekly loan payments | Slightly higher than monthly |
| Monthly | 12 | Most loans, credit cards, savings | Standard — most common frequency |
| Quarterly | 4 | Bonds, some CDs | Moderate compounding effect |
| Semi‑Annually | 2 | US Treasury bonds, some mortgages | Lower compounding effect |
| Annually | 1 | Some CDs, fixed deposits | APY equals APR — no extra compounding |
The Formulas Explained
The APR vs APY calculator uses the following mathematically precise formulas:
APY = (1 + APR ÷ n)^n − 1
APY → APR:
APR = n × [(1 + APY)^(1/n) − 1]
Where n = number of compounding periods per year
Worked Example — APR to APY
If a savings account offers 12% APR compounded monthly:
APR
12%
Compounding
Monthly (12)
APY
12.6825%
Difference
+0.6825%
Calculation: APY = (1 + 0.12 ÷ 12)^12 − 1 = (1.01)^12 − 1 = 1.126825 − 1 = 12.6825%
On a $10,000 deposit, this means you earn $1,268.25 in a year instead of the $1,200 you might expect from the stated 12% APR. The extra $68.25 comes purely from compounding — your interest earning interest 12 times throughout the year.
Worked Example — APY to APR
If a CD advertises 12% APY with daily compounding:
APY
12%
Compounding
Daily (365)
APR
11.3346%
Difference
−0.6654%
Calculation: APR = 365 × [(1 + 0.12)^(1/365) − 1] = 365 × [1.0003096 − 1] = 365 × 0.0003096 = 11.3346%
This tells you that the “simple rate” behind a 12% APY with daily compounding is actually 11.3346%. If someone quoted you 11.3346% APR with daily compounding, the effective yield would be 12% APY.
APR vs APY at Different Compounding Frequencies
Here is how the same 8% APR translates to different APY values depending on compounding frequency:
| Compounding | n (periods/year) | APY | Extra vs. Annual | Earnings on $10,000 |
|---|---|---|---|---|
| Annually | 1 | 8.0000% | +$0 | $800.00 |
| Semi‑Annually | 2 | 8.1600% | +$16.00 | $816.00 |
| Quarterly | 4 | 8.2432% | +$24.32 | $824.32 |
| Monthly | 12 | 8.3000% | +$30.00 | $830.00 |
| Bi‑Weekly | 26 | 8.3192% | +$31.92 | $831.92 |
| Weekly | 52 | 8.3225% | +$32.25 | $832.25 |
| Daily | 365 | 8.3277% | +$32.77 | $832.77 |
Why APR and APY Matter for Your Wallet
Understanding the difference between APR and APY directly impacts how much you earn on savings or pay on loans:
For Savers and Investors (APY Focus)
- Compare savings accounts by APY — When choosing where to deposit money, always compare APY. A “5.00% APY” account earns more than a “5.10% APR” account when the latter compounds monthly (which yields 5.22% APY).
- CDs and fixed deposits — Banks advertise APY on CDs because it is the true return. A 1‑year CD at 5.0% APY means you earn exactly 5% over the year regardless of compounding frequency.
- High‑yield savings — Online banks offering daily compounding maximize your APY. Even a small APR difference becomes significant with daily compounding on large balances.
For Borrowers (APR Focus)
- Compare loans by APR — When shopping for mortgages, auto loans, or personal loans, APR is the standard comparison metric. It includes fees and represents the true annual cost of borrowing.
- Credit cards — Credit card APR is typically compounded daily. A 20% APR credit card actually costs about 21.94% APY — meaning you pay more than the advertised rate.
- Mortgages — Mortgage APR includes closing costs, points, and fees, giving you a more complete picture than the interest rate alone.
| Scenario | Focus On | Why |
|---|---|---|
| Choosing a savings account | APY | Higher APY = more earnings on your deposits |
| Comparing CDs | APY | Shows true annual return including compounding |
| Shopping for a mortgage | APR | Includes fees, points, and true borrowing cost |
| Comparing credit cards | APR | Standard metric for borrowing cost comparison |
| Evaluating personal loans | APR | Shows total cost including origination fees |
| Evaluating auto loans | APR | Standard comparison metric for vehicle financing |
Real‑World Impact: APR vs APY on a $100,000 Loan
Understanding the APR vs APY difference becomes critical on large amounts. Here is how compounding affects a $100,000 loan at 6% APR over 30 years (like a mortgage):
Loan Amount
$100,000
APR
6.00%
APY (Monthly)
6.1678%
Total Interest Paid
$115,838
On a $100,000 mortgage at 6% APR with monthly compounding, you pay $115,838 in total interest over 30 years. The effective APY of 6.1678% — not the stated 6% — is what actually drives your total borrowing cost. This extra 0.1678% compounds over 360 payments, adding up to thousands of dollars.
APR vs APY Calculator vs. Other Financial Tools
| Tool | Best For | Key Feature |
|---|---|---|
| APR vs APY Calculator | Rate conversion and comparison | Bidirectional conversion, 7 compounding options |
| Compound Interest Calculator | Projecting savings growth | Compound growth over time |
| Loan EMI Calculator | Monthly loan payments | EMI breakdown by principal and interest |
| Mortgage Calculator | Home loan planning | Down payment, PMI, and total cost |
| Inflation Calculator | Purchasing power analysis | Real vs. nominal value comparison |
| SIP Calculator | Monthly investment planning | Mutual fund return projections |
| CAGR Calculator | Investment growth rate | Annualized return calculation |
| Credit Card Calculator | Credit card payoff | Minimum vs. aggressive payment |
| Retirement Calculator | Retirement planning | Income needs vs. savings |
| Investment Calculator | Long‑term growth projections | Multi‑year portfolio analysis |
Common APR vs APY Scenarios
Savings Account Comparison
| Bank | Advertised Rate | Compounding | True APY | Earnings on $50,000 |
|---|---|---|---|---|
| Bank A | 5.00% APR | Monthly | 5.116% | $2,558 |
| Bank B | 4.90% APY | Daily | 4.90% APY | $2,450 |
| Bank C | 5.05% APR | Quarterly | 5.144% | $2,572 |
Bank C’s 5.05% APR with quarterly compounding yields the highest effective return at 5.144% APY, earning you $2,572 on $50,000 — $122 more than Bank B’s 4.90% APY.
Credit Card Cost Analysis
| Card | APR | Compounding | Effective APY | Cost on $5,000 Balance (1 Year) |
|---|---|---|---|---|
| Card A | 18.00% | Daily | 19.72% | $986 |
| Card B | 19.99% | Monthly | 21.93% | $1,097 |
| Card C | 22.00% | Daily | 24.61% | $1,231 |
Frequently Asked Questions
What is an APR vs APY calculator?
An APR vs APY calculator is a free online tool that converts between Annual Percentage Rate (APR) and Annual Percentage Yield (APY). It supports two conversion modes — APR to APY and APY to APR — with seven compounding frequency options (daily, weekly, bi‑weekly, monthly, quarterly, semi‑annually, and annually).
What is the difference between APR and APY?
APR is the simple interest rate without compounding, commonly used for loans and credit cards. APY includes the effect of compounding and represents the true annual rate. APY is always greater than or equal to APR. The more frequently interest compounds, the larger the difference between them.
Is APY higher than APR?
Yes, APY is always higher than APR when interest compounds more than once per year. When compounding is annual (once per year), APY equals APR. For example, 10% APR compounded monthly yields 10.47% APY.
When should I use APR and when should I use APY?
Use APY when comparing savings accounts, CDs, and investments — it shows the true return. Use APR when comparing loans, mortgages, and credit cards — it is the standard metric for borrowing costs and includes mandatory fee disclosures.
Does compounding frequency really make a difference?
Yes, especially on large amounts or over long periods. Moving from annual to daily compounding on a $100,000 deposit at 5% adds approximately $28 per year. Over 30 years, this compounds to over $1,500 in extra earnings.
What compounding frequency do banks use?
Most banks compound savings accounts daily or monthly. Credit cards typically compound daily. Mortgages compound monthly. CDs vary by institution — some compound daily, others quarterly or at maturity. Check your specific product terms.
Why is my credit card interest higher than the APR?
Credit card companies compound interest daily. A 20% APR compounded daily actually costs 21.94% APY. The daily compounding means unpaid interest is added to your balance each day, and the next day’s interest is calculated on the new, higher balance.
Does the calculator save my data?
No. All calculations happen locally in your browser. Your interest rates and results are never stored, transmitted, or shared with anyone. Your information remains completely private.
External Resources — Learn More About APR, APY, and Compounding
- APY Explained – Investopedia — Comprehensive guide to understanding Annual Percentage Yield and how compounding affects your returns.
- APR Explained – Investopedia — Complete explanation of Annual Percentage Rate and its role in loan and credit comparisons.
- APY vs APR – NerdWallet — Practical guide to understanding the difference and when to use each metric.
- APY vs APR Comparison – Bankrate — Detailed comparison with real‑world examples for savings and lending.
- Interest Rate vs APR – CFPB — Official guide from the Consumer Financial Protection Bureau.
- National Rates – FDIC — Current national average rates for savings accounts, CDs, and loans from the Federal Deposit Insurance Corporation.
- Federal Reserve Rates – Federal Reserve — Official federal funds rate and monetary policy information that influences all APR and APY rates.