APY vs APR: The Difference That Costs or Earns You Money

APY (Annual Percentage Yield) and APR (Annual Percentage Rate) are both annual interest rate measures but they calculate differently and apply to different financial products. APY accounts for the effect of compounding within the year. APR does not. Using the wrong one to compare financial products leads to incorrect decisions and real financial cost.

apy apr interest-rate savings compounding annual-percentage-yield

Quick reference

APY used for

Savings

Accounts for compounding — always the higher number

APR used for

Borrowing

Does not compound — always the lower number

APY vs APR

APY >= APR

At the same nominal rate, APY is always higher

When equal

Annual only

APY equals APR only when compounding is once per year

The core difference between APY and APR

APR (Annual Percentage Rate) is the simple annual interest rate including fees but without accounting for compounding within the year. It represents the stated cost of borrowing on an annual basis. APY (Annual Percentage Yield) is the effective annual rate that includes the full effect of within-year compounding. It represents the actual return on savings when interest is reinvested each period.

The distinction matters because financial institutions exploit it strategically. Banks advertise APY for savings accounts because compounding makes the number higher and more attractive to depositors. Lenders advertise APR for loans because it is the lower number and appears cheaper to borrowers. Understanding the difference allows you to see through this and compare products accurately.

For any given nominal rate with within-year compounding, APY is always higher than APR. They are equal only when interest compounds exactly once per year.

The APY formula

Formula

APY = \left(1 + \frac{r}{n}\right)^n - 1

APY equals one plus the nominal rate divided by the number of compounding periods per year, raised to the power of those periods, minus one. This formula converts any compounding frequency into a single equivalent annual rate that can be compared directly to any other APY regardless of how often the underlying rate compounds.

rNominal annual interest rate as a decimal. For example, 5 percent = 0,05.

nNumber of compounding periods per year. Monthly = 12. Daily = 365. Quarterly = 4. Annual = 1.

Worked examples with exact numbers

Example 1Savings account with monthly compounding

Given: Nominal rate: 5% | Compounding: monthly (n = 12)

Result: APY = 5,12%

APY = (1 + 0,05 / 12)^12 - 1 = (1,004167)^12 - 1 = 1,05116 - 1 = 0,05116 = 5,12 percent. The APY of 5,12 percent exceeds the stated 5 percent because interest earned each month is added to the balance and earns further interest in subsequent months. Over one year on a deposit of 10.000, this produces 512 in interest rather than 500.

Example 2Comparing two savings accounts at the same nominal rate

Given: Account A: 5% nominal, compounding annually. Account B: 5% nominal, compounding monthly.

Result: Account A APY: 5,00% | Account B APY: 5,12%

Both accounts advertise 5 percent. Account B produces 5,12 percent APY because it compounds monthly. On a 10.000 deposit over 5 years: Account A produces 12.763. Account B produces 12.834. The difference is 71 on 10.000 over 5 years. Small, but APY correctly captures it while the nominal rate conceals it.

Example 3Credit card comparison where APR misleads

Given: Card A: 18% APR. Card B: 17,5% APR, compounding monthly.

Result: Card A: 18% APR | Card B effective rate: 18,97% APY

Card B appears cheaper at 17,5 percent. But monthly compounding brings its effective annual rate to (1 + 0,175 / 12)^12 - 1 = 0,1897 = 18,97 percent, which is higher than Card A. If you carry a balance on Card B, you pay more than Card A despite the lower stated APR. This comparison is only visible when you calculate APY for both products.

Compare APR and APY for any rate

Enter a nominal rate and compounding frequency to see the exact APY and how it compares to the stated APR.

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APR vs APY at 5% nominal rate — effect of compounding frequency

Compounding Frequency	APR	APY	Difference	Annual return on 10.000
Annual	5,00%	5,00%	0,00%	500
Quarterly	5,00%	5,09%	0,09%	509
Monthly	5,00%	5,12%	0,12%	512
Daily	5,00%	5,13%	0,13%	513
Continuous	5,00%	5,13%	0,13%	513

Which to use and when

Use APY when comparing savings accounts, fixed deposits, money market accounts, or any investment where interest is added to the balance and reinvested. APY gives you the true annual return including compounding, which is the actual amount your balance grows in a year.

Use APR when comparing loans, mortgages, credit cards, or any product where you are the borrower. APR includes fees and gives the standardised cost of borrowing. EU law requires APR disclosure on all consumer credit products precisely because it enables accurate comparison.

The critical rule: always compare APY to APY and APR to APR. Comparing a loan APR to a savings APY directly is meaningless because they measure different things. If a bank offers a savings account at 4,8 percent APY and a loan at 5,2 percent APR, those two numbers are not directly comparable without converting both to the same basis.

Common mistakes

✗ Comparing savings accounts using the nominal rate instead of APY

✓ Always compare savings accounts using APY. Two accounts advertising 5 percent nominal can produce different annual returns if they compound at different frequencies. APY standardises the comparison.

✗ Assuming that more frequent compounding always produces meaningfully better returns

✓ The table above shows the full picture. Moving from annual to monthly compounding on a 5 percent rate adds only 0,12 percent APY. Moving from monthly to daily adds only 0,01 percent more. The interest rate itself matters far more than the compounding frequency.

✗ Using APY to compare loan costs

✓ For loans, the correct metric is APR. It includes fees and gives the true standardised cost of borrowing. APY is designed for savings comparisons where compounding works in your favour.

✗ Treating APY and APR as interchangeable terms for the same concept

✓ They are fundamentally different calculations measuring different things. APY always equals or exceeds APR at the same nominal rate. They are only equal when compounding occurs exactly once per year.

Methodology

APY calculations use the standard compound interest formula: APY = (1 + r/n)^n - 1. APR calculations follow the EU Consumer Credit Directive definition and include fees but not within-year compounding. All numerical examples assume fees are zero to isolate the compounding effect alone.

In practice APR includes fees which further separates it from the nominal rate. The examples here isolate the compounding effect for clarity.

Cite this guide

APAMLAChicago

https://calquify.com/guides/apy-vs-apr

Last updated: May 2026

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Frequently asked questions

Is APY always higher than APR?

APY is always equal to or higher than APR at the same nominal rate. They are equal only when interest compounds exactly once per year. With monthly compounding, a 5 percent nominal rate produces 5,12 percent APY. With daily compounding it produces 5,13 percent APY. The gap grows with more frequent compounding.

Why do banks show APY for savings but APR for loans?

Banks show the number that appears most favourable for each product. APY is higher than the nominal rate, so it makes savings accounts look more attractive to depositors. APR is lower than APY, so it makes loan costs appear lower to borrowers. Knowing this, you can evaluate both correctly: higher APY is better for savings, lower APR is better for borrowing.

What is the difference between nominal rate and APY?

The nominal rate is the stated rate before the effect of compounding is applied. APY is the effective annual rate after compounding is included. A 12 percent nominal rate compounded monthly has an APY of (1 + 0,12/12)^12 - 1 = 12,68 percent. The nominal rate is always lower than or equal to the APY. They are only equal when compounding is annual.

Does APY apply to loans?

APY is not typically used for loan comparisons. The equivalent concept for loans is the Effective Annual Rate (EAR), which equals APY mathematically. EU consumer credit law requires APR disclosure for loans, not EAR. However, calculating the EAR on a loan gives you the true compound cost and is useful for comparing products that compound at different frequencies.

Sources & References

› Investopedia — APY vs APR Retrieved 2026-05-17

› Consumer Financial Protection Bureau Retrieved 2026-05-17

› European Banking Authority — Consumer deposits Retrieved 2026-05-17

Formula based on standard mathematical and financial methods. Results are for informational purposes. Last reviewed May 2026. Version 3.