APY to APR Converter
Converts an Annual Percentage Yield (APY) back to the equivalent nominal Annual Percentage Rate (APR).
Calculate APY to APR
Annual percentage yield as advertised
1=annually, 12=monthly, 365=daily
APR (Nominal Rate)
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Not investment advice.
What is APY to APR?
Converting APY back to APR reverses the compounding calculation, deriving the nominal annual rate that would produce the given effective yield at a stated compounding frequency. This is useful when comparing savings account or loan offers quoted in APY and needing to express them as a consistent APR. At higher compounding frequencies (daily vs monthly), the APR required to achieve a given APY is slightly lower.
Formula
APR = n × ((1 + APY/100)^(1/n) − 1) × 100
Worked Example
Worked example — Savings account with 5.1267% APY — 2024
2024
Step 1 Advertised APY: 5.1267% (daily compounding, n = 365)
Step 2 APR = 365 × ((1 + 0.051267)^(1/365) − 1) × 100
Step 3 APR = 365 × (1.000137 − 1) × 100
Step 4 APR ≈ 5.0000%
Step 5 → A 5.00% APR with daily compounding equals 5.1267% APY
Source: CFA Institute — Fixed Income, 7th ed., Ch. 1 (2024-01-01)
How to Interpret APY to APR
< 2
Low nominal rate
2 – 5
Moderate nominal rate
5 – 10
High nominal rate
> 10
Very high nominal rate
📚 DeFi Basics — Complete the path
- APR to APY
- APY to APR
- Effective Annual Rate
- DeFi APY
- Impermanent Loss