APY (Annual Percentage Yield) Calculator
Compute APY from APR and compounding, or solve APR from APY. Enter an initial deposit and term to see the final deposit.
💰Initial deposit
?
Initial deposit must be ≥ 0.
📈Annual percentage rate of charge (APR)
?
%
APR must be ≥ 0.
🎯Annual percentage yield (APY)
?
%
APY must be ≥ 0.
⏱️Term
?
Term must be ≥ 0.
🔁Compound frequency
?
Frequency affects both APY and Final deposit.
💼Final deposit
?
₳
Final deposit must be ≥ 0.
⚡Quick summary
Inputs
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APY
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Final deposit
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🧮Step-by-step derivation
APY from APR:
APY = (1 + r/n)n − 1Substitute:
APY = …Final deposit:
A = P · (1 + r/n)n·tSubstitute:
A = …APR is nominal (no compounding). APY includes compounding. There is no fee/tax modeling here.
📚Reference table & sources
| Topic | Summary | Source |
|---|---|---|
| APY (EAR) formula | APY = (1 + r/n)n − 1 where r is nominal APR and n is compounding per year. |
Investopedia — Effective Annual Interest Rate |
| APY calculation example | Daily compounding example and walkthrough for converting APR→APY. | Fidelity — What is APY? |