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APY vs APR: The Difference, the Formulas and a Worked Example

APY is what savings earn with compounding; APR is the yearly cost of borrowing, including some fees. Formulas, a worked example and when each misleads.

· By ZIPMEX · 9 min read

The annual percentage yield (APY) tells you how much a deposit earns in a year once compounding is counted. The annual percentage rate (APR) tells you the yearly cost of borrowing, and for most loans it adds certain fees to the interest rate. Use APY to compare savings accounts and CDs, where higher is better. Use APR to compare loans and credit cards, where lower is better. The two numbers are built differently, so never compare an APY with an APR.

Key-facts card with 2 facts from us.cibc.com: APY applies to interest-bearing deposit accounts, while APR pertains to the cost of borrowing money; APY is the interest earned on a deposit account over a one-year period.
Key facts as the sources state them. data: us.cibc.com · ZIPMEX key-facts diagram; data: us.cibc.com
APY: key facts/ KEY FACTSAPY: key factsKEY FACTAPY applies to interest-bearing deposit accounts, whileAPR pertains to the cost of borrowing money.KEY FACTAPY is the interest earned on a deposit account over aone-year period.Source: APY vs. APR: here’s the difference (us.cibc.com), accessed Oct 18, 2026
Key-facts card with 2 facts from us.cibc.com: APY applies to interest-bearing deposit accounts, while APR pertains to the cost of borrowing money; APY is the interest earned on a deposit account over a one-year period.
Key facts as the sources state them. data: us.cibc.com · ZIPMEX key-facts diagram; data: us.cibc.com

What each figure measures

Annual percentage yield. Under the US Truth in Savings rules (Regulation DD), banks calculate APY on the assumption that all principal and interest stay on deposit for the whole term, with no deposits or withdrawals. The figure reflects only interest. It does not include the value of a bonus, and fees are disclosed separately.

Annual percentage rate. The Consumer Financial Protection Bureau (CFPB) describes the APR on an installment loan as the interest rate plus additional fees charged with the loan, such as origination fees. For a mortgage, the CFPB says the APR reflects the interest rate, any points, mortgage broker fees and other charges paid to get the loan. That is why a loan's APR is usually higher than its interest rate.

On a credit card, the APR works differently. Regulation Z says the APR is computed by multiplying the periodic rate by the number of periods in a year. It is a simple annualisation: it does not add compounding.

APYAPR
Used forSavings accounts, CDs, other depositsLoans, mortgages, credit cards
Includes compoundingYesNo (periodic rate x periods per year)
Includes feesNo (fees disclosed separately)On installment loans and mortgages, certain lender fees and points
Better for youHigherLower

The formulas

APY from an interest rate

When you know the stated interest rate and how often it compounds:

APY = (1 + r / n)^n − 1

  • r = stated annual interest rate, as a decimal
  • n = number of compounding periods per year (12 for monthly, 365 for daily)

Citi's savings guide gives this example: a CD at 3% compounded monthly gives (1 + 0.03/12)^12 − 1 = 3.04% APY.

APY as US banks must disclose it

Regulation DD, Appendix A, defines APY from the dollars of interest actually paid on a deposit:

APY = 100 × [(1 + Interest / Principal)^(365 / Days in term) − 1]

The regulation's own example: $1,000 that earns $61.68 over 365 days has an APY of 6.17%. A $1,000 six-month CD that earns $30.37 over 182 days has an APY of 6.18%, because the formula annualises a shorter term as if it were rolled over.

APR on a credit card

APR = periodic rate × number of periods in a year

To go the other way, the CFPB says card issuers that use a daily periodic rate generally find it by dividing the APR by 360 or 365, depending on the issuer.

APY or APR: which figure fits the product you are comparing

Which column fits the product you are comparing: a deposit or a loan?

MeasureAPRAPYSource
What it measuresInterest and other costs when you borrow moneyInterest earned when you save or invest moneySource: APR vs. APY: What’s the Difference? | Capital One (capitalone.com), accessed Oct 17, 2026
Products it coversLoan products such as mortgages, credit cards or auto loansInterest-bearing deposit accountsSource: APY vs. APR: here’s the difference (us.cibc.com), accessed Oct 18, 2026
CompoundingNot stated in the cited sourcesIncluded: APY incorporates compound interestSource: APR vs. APY: What’s the Difference? | Capital One (capitalone.com), accessed Oct 17, 2026
Which way is betterLower is better for borrowersHigher is better for saversSource: Blog | Financial Planning in the Digital Age (signalfinancialfcu.org), accessed Oct 18, 2026
Can the rate changeYesYesSource: APR vs. APY: What’s the Difference? | Capital One (capitalone.com), accessed Oct 17, 2026

The rows restate definitions from the cited sources and contain no rates, so they show no product's actual yield or cost.

Annual Percentage Yield, or APY, applies to interest-bearing deposit accounts, while Annual Percentage Rate, or APR, pertains to the cost of borrowing money.
us.cibc.com · Read the source

Worked example with numbers

The figures below are illustrations, not current market rates.

Savings: same rate, different compounding. Deposit $10,000 at a 4.00% stated interest rate for one year.

CompoundingAPYInterest after one year
Annually (n = 1)4.00%$400.00
Quarterly (n = 4)4.06%$406.04
Monthly (n = 12)4.07%$407.42
Daily (n = 365)4.08%$408.08

The gap between annual and daily compounding is $8.08 a year on $10,000. APY already folds this in, so two accounts quoting the same APY pay the same yearly interest on the same balance, whatever their compounding schedule.

Credit card: APR understates what an unpaid balance costs. Take a card with a 24% APR and an issuer that divides by 365. The daily periodic rate is 24% / 365 = 0.0658%. The CFPB explains that each day's interest is added to the balance, so interest compounds daily. If a balance sat untouched for a full year with no payments and no new charges, the effective cost would be (1 + 0.24/365)^365 − 1 = 27.11%, about 3.1 percentage points above the quoted APR.

Loan: fees push APR above the interest rate. Borrow $10,000 for one year at 8% interest, repaid in a single payment of $10,800, with a $300 origination fee taken out of the loan amount. You receive $9,700 and pay $1,100 in total charges ($800 interest plus the $300 fee). For this single-payment loan the APR is $1,100 / $9,700 = 11.34%, against an 8% interest rate. This is why the CFPB tells borrowers to compare APRs with APRs, not an APR with another lender's interest rate.

When each figure is misleading

Compounding frequency

APY handles compounding for you. APR does not. A credit card APR is the daily or monthly rate multiplied out, so a balance you carry costs more than the APR suggests, as the 24% example shows. Comparing a savings account's APY with a loan's APR mixes a compounded figure with a simple one.

Fees

APY reflects only interest. A deposit account can quote a strong APY and still charge a monthly maintenance fee, which Regulation DD requires the bank to disclose separately. In the savings example, a $5 monthly fee ($60 a year) cuts $407.42 of interest to $347.42, which is 3.47% of the $10,000 deposit rather than 4.07%.

On the borrowing side, APR includes many lender charges but is not a full cost figure for every product. The CFPB says not to rely on the APR alone when choosing a mortgage.

Variable rates

  • Savings. For a variable-rate account, Regulation DD requires the bank to disclose that the interest rate and APY may change. The quoted APY is based on the rate in effect when the account is opened, so it describes today's rate, not a guaranteed year.
  • Mortgages. The CFPB says the APR on an adjustable-rate mortgage does not reflect the loan's maximum interest rate, and it advises care when comparing APRs on fixed-rate and adjustable-rate loans.
  • Credit cards. A variable APR moves with an index such as the prime rate published in the Wall Street Journal. The CFPB notes that even a fixed APR can change, though the issuer generally must notify you first.

Yield quotes outside regulated deposits

Regulation DD governs APY disclosures by US banks and savings institutions. A crypto staking or lending product that quotes an "APY" or "APR" may use its own assumptions about compounding, fees and how rewards are paid. Read the product's terms to see how the figure is calculated before comparing it with a bank rate.

Which number to use

  • Comparing savings accounts, CDs or money market accounts: compare APY, then check the fees.
  • Comparing installment loans or mortgages: compare APR with APR, then check whether the rate is fixed or adjustable.
  • Carrying a credit card balance: the APR is a floor on the yearly cost, because interest compounds.

This guide follows US disclosure rules (Regulation DD and Regulation Z); terms and calculation rules differ in other countries.

Updated on Oct 24, 2026