APR and APY are two of the most commonly misunderstood terms in personal finance. Banks use these numbers to advertise their products, but most people don't realize they measure completely different things. Understanding this difference can save you thousands of dollars.
What Is APR?
APR stands for Annual Percentage Rate. It represents the yearly cost of borrowing money, including interest and certain fees, but WITHOUT considering the effects of compounding.
What APR Includes
- Base interest rate
- Loan origination fees
- Discount points (for mortgages)
- Other mandatory fees
What APR Doesn't Include
- Compounding frequency effects
- Optional fees (late payment fees)
- Prepayment penalties
Simple calculation: $1,000 Ã 0.18 = $180 interest
However, the ACTUAL interest you pay will be higher because credit cards compound daily!
What Is APY?
APY stands for Annual Percentage Yield. It represents how much you earn in one year, ACCOUNTING FOR compounding effects.
The APY Formula
APY = (1 + r/n)^n - 1
Where:
- r = nominal interest rate (as decimal)
- n = number of compounding periods per year
The stated rate: 5%
The APY: (1 + 0.05/12)^12 - 1 = 5.116%
On $10,000, you'd earn $511.60, not just $500!
The Key Differences
1. Purpose
- APR: Shows the cost of borrowing
- APY: Shows the earnings from savings/investments
2. Compounding
- APR: Doesn't account for compounding
- APY: Includes compounding effects
3. Usage
- APR: Loans, mortgages, credit cards
- APY: Savings accounts, CDs, money market accounts
Real-World Scenarios
Scenario 1: Comparing Savings Accounts
Bank A: 4.5% interest, compounded annually
Bank B: 4.4% interest, compounded daily
Bank A APY: 4.5% (no compounding effect with annual)
Bank B APY: 4.49% (with daily compounding)
Scenario 2: Credit Card Interest
Credit card: 18% APR, compounded daily
Many people think they'll pay 18% on their balance, but with daily compounding:
Effective rate (APY): 19.72%
On a $5,000 balance carried for one year:
Expected cost (18%): $900
Actual cost (19.72%): $986
Difference: $86 more than expected!
Scenario 3: Mortgage APR
Lender advertises: 6.5% interest rate
After including:
- $2,000 origination fee
- $500 application fee
- $300 appraisal fee
Actual APR: 6.73%
This is why APR is more useful for comparing loan offers - it includes more costs.
When to Use Each One
Use APR When:
- Comparing loan offers
- Evaluating credit card costs
- Shopping for mortgages
- Assessing the true cost of borrowing
Use APY When:
- Comparing savings accounts
- Evaluating CD rates
- Choosing investment accounts
- Calculating actual earnings
Common Mistakes to Avoid
Mistake 1: Comparing APR to APY
Never compare a loan's APR directly to a savings account's APY - they measure different things!
Mistake 2: Ignoring Compounding Frequency
Two accounts with the same rate but different compounding frequencies will have different APYs. Always check the compounding.
Mistake 3: Focusing Only on Rates
Don't forget to consider:
- Minimum balance requirements
- Monthly maintenance fees
- Withdrawal penalties
- Account access and features
Mistake 4: Not Reading the Fine Print
Promotional rates, introductory APRs, and tiered rates can make advertised numbers misleading.
Quick Reference Guide
| Question | Answer |
|---|---|
| Comparing loan offers? | Use APR (lower is better) |
| Comparing savings accounts? | Use APY (higher is better) |
| Calculating actual earnings? | Use APY |
| Calculating actual loan costs? | Use APR (but check compounding) |
| Credit card interest? | APR is advertised, but actual cost is higher due to daily compounding |
The Bottom Line
- APR = Cost of borrowing (loans)
- APY = Earnings from saving (savings)
- APY includes compounding, APR usually doesn't
- Always compare apples to apples: APR to APR, APY to APY
- Higher APY is better for savers; lower APR is better for borrowers
Understanding APR and APY helps you make informed financial decisions. Whether you're choosing a savings account or comparing loan offers, knowing which number matters in each situation gives you the power to maximize your wealth and minimize your costs.
Use our interest rate calculator to see how APR and APY affect your specific financial situation.