APY Calculator — Annual Percentage Yield
APY (Annual Percentage Yield) shows the true annual return of an interest-bearing account after compounding is factored in. It is always equal to or higher than the nominal rate. Enter the stated rate and how often interest compounds to see the exact APY.
%
Zinszahlungsfrequenz
Effective annual return after compounding — always ≥ the nominal rate
- 1
Periodic interest rate
5% ÷ 12 ÷ 100 = 0,00416667 - 2
Compound factor
(1 + 0,00416667)ⁿ (n = 12) = 1,0511619 - 3
APY
(1,0511619 − 1) × 100 = 5,1162
Wie funktioniert dieser Rechner?
APY = (1 + r/n)ⁿ − 1, where r is the nominal annual rate and n is the compounding periods per year. A 5% nominal rate compounded monthly gives APY ≈ 5.116%. APY is always ≥ the nominal rate and enables fair comparison of savings products.
Formel
How this is calculated
A nominal interest rate (e.g., 5%) tells you the stated rate before compounding frequency is applied. If a bank compounds your interest monthly, it adds 5%/12 = 0.4167% each month. Because each addition earns interest itself, the actual annual growth exceeds 5% — this higher effective rate is the APY. For 5% nominal compounded monthly, APY = (1 + 0.05/12)¹² − 1 ≈ 5.1162%.
The formula generalises: n is the number of compounding periods per year (1 = annual, 4 = quarterly, 12 = monthly, 365 = daily). As n increases, APY approaches the continuous compounding limit: APY = eʳ − 1, where e ≈ 2.71828. The gap between nominal and APY widens as the nominal rate rises and as compounding becomes more frequent, but for typical rates (1–10%) the difference is modest — often a few basis points for monthly vs. daily.
APY is the standardised disclosure metric for US savings accounts and CDs (mandated by the Truth in Savings Act) precisely because it accounts for compounding and enables direct comparisons. APR (Annual Percentage Rate) is the analogous concept for loans. When comparing savings products, always compare APY; when comparing loan costs, always compare APR.
Häufige Fragen
APY (Annual Percentage Yield) is the effective annual return on savings, accounting for compounding — relevant for deposit accounts. APR (Annual Percentage Rate) is the standardised annual cost of a loan, including fees. For savings, higher APY is better; for loans, lower APR is better. They use different formulas and serve opposite sides of a transaction.
Yes. For the same nominal rate, more frequent compounding always results in a higher (or equal) APY. Daily compounding beats monthly beats quarterly beats annual. The difference between daily and continuous compounding is negligible for typical rates, but annual and daily can differ noticeably on high-rate products.
Rearrange the formula: nominal rate = n × ((1 + APY)^(1/n) − 1), where n is the number of compounding periods per year. For continuous compounding: nominal rate = ln(1 + APY). This is useful when you know the APY of a product and want to compare it to a stated nominal rate.
Auch bekannt als
TG we-Calculate Editorial Team. (2026). APY Calculator — Annual Percentage Yield [Online calculator]. TG we-Calculate. https://we-calculate.com/de/calculator/apy-calculator
TG we-Calculate Editorial Team. "APY Calculator — Annual Percentage Yield." TG we-Calculate. 2026. https://we-calculate.com/de/calculator/apy-calculator.
TG we-Calculate Editorial Team, "APY Calculator — Annual Percentage Yield," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/de/calculator/apy-calculator
@misc{wecalculate_apy_calculator, title = {APY Calculator — Annual Percentage Yield}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/de/calculator/apy-calculator}}, year = {2026}, note = {TG we-Calculate} }
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