DeFi Yield Calculator — APY vs APR for Yield Farming
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How DeFi Yield Farming Works
DeFi yield farming is the practice of depositing cryptocurrency into decentralized finance protocols to earn returns in the form of token rewards, trading fees, or interest. DeFi protocols advertise yields using either APR (Annual Percentage Rate) or APY (Annual Percentage Yield), and the difference between these two numbers can be substantial — a protocol showing 50% APR actually delivers roughly 64.9% APY with daily compounding. According to DefiLlama, total value locked (TVL) across all DeFi protocols exceeded $90 billion in early 2025, with yield farming remaining one of the most popular strategies.
This calculator converts between APR and APY based on compounding frequency, then projects total returns and profit over a specified holding period. Understanding these metrics is critical for comparing opportunities across different protocols. The math applies equally to liquidity pool farming, lending protocols, staking, and vault strategies. For related crypto calculations, see our Staking Rewards Calculator and Impermanent Loss Calculator.
The APY and Compound Growth Formulas
The core formulas used by this calculator are standard compound interest equations applied to DeFi contexts:
APY = (1 + APR/n)^n - 1, where n = compounding periods per year
Final Value = Principal x (1 + APR/n)^(n x t), where t = time in years
- APR: The base annual rate before compounding. This is what many DeFi dashboards display.
- APY: The effective annual yield after compounding. Daily compounding (n=365) produces the highest APY for a given APR.
- Compounding frequency: How often rewards are claimed and reinvested. Daily (auto-compounders), weekly, monthly, or not at all.
- Duration: The holding period. DeFi yields are volatile, so shorter projections are more reliable than multi-year forecasts.
Worked example: $10,000 deposited at 50% APR with daily compounding for 365 days. APY = (1 + 0.50/365)^365 - 1 = 64.87%. Final value = $10,000 x (1 + 0.50/365)^365 = $16,487. Profit = $6,487. Without compounding (simple APR), profit would only be $5,000 — compounding adds an extra $1,487.
Key Terms You Should Know
Total Value Locked (TVL) — the total amount of crypto deposited in a DeFi protocol. Higher TVL generally indicates greater trust and liquidity, but does not guarantee safety. TVL is reported in real-time by aggregators like DefiLlama.
Impermanent loss — the loss experienced by liquidity providers when the price ratio of paired tokens changes compared to simply holding. A 2x price divergence causes approximately 5.7% impermanent loss. Calculate this with our Impermanent Loss Calculator.
Auto-compounding vault — a smart contract that automatically harvests and reinvests yield farming rewards, maximizing APY by compounding frequently (often multiple times daily). Protocols like Yearn Finance and Beefy Finance specialize in this.
Gas fees — transaction costs on blockchain networks. On Ethereum mainnet, claiming and restaking rewards can cost $5-50+ per transaction, which erodes returns on small positions. Layer 2 networks and alternative blockchains offer gas fees under $0.10.
Token emissions — new tokens created and distributed as farming rewards. High emission rates produce high APRs but often cause token price depreciation (inflation), reducing real returns measured in USD.
APR vs APY at Different Compounding Frequencies
The following table shows how compounding frequency affects the effective APY for a given APR. The difference becomes dramatic at higher rates. These calculations follow the standard compound interest formula used by the FDIC for Truth in Savings disclosures.
| Stated APR | No Compounding | Monthly APY | Weekly APY | Daily APY |
|---|---|---|---|---|
| 10% | 10.00% | 10.47% | 10.51% | 10.52% |
| 25% | 25.00% | 28.07% | 28.32% | 28.39% |
| 50% | 50.00% | 63.21% | 64.48% | 64.87% |
| 100% | 100.00% | 161.30% | 169.26% | 171.46% |
| 200% | 200.00% | 612.16% | 691.85% | 634.88% |
Practical Examples
Example 1 — Stablecoin lending: You deposit $5,000 USDC into a lending protocol at 8% APR with weekly compounding for 180 days. APY = (1 + 0.08/52)^52 - 1 = 8.32%. After 180 days: $5,000 x (1 + 0.08/52)^(52 x 180/365) = $5,201. Profit: $201. Stablecoin yields carry lower impermanent loss risk since the token price is pegged.
Example 2 — Liquidity pool farming: You provide $10,000 in an ETH/USDC pool at 40% APR with daily compounding. APY = 49.15%. Over 90 days: $10,000 x (1 + 0.40/365)^90 = $11,030. Profit: $1,030. However, if ETH price moves 50% in either direction, impermanent loss could consume 2-5% of this gain. Use our Crypto Profit Calculator to model token price scenarios.
Example 3 — Auto-compounding vault: $20,000 deposited in a vault that compounds rewards 3 times daily (n=1095/year) at 60% APR. APY = (1 + 0.60/1095)^1095 - 1 = 82.19%. After 365 days: $20,000 x 1.8219 = $36,438. Profit: $16,438. The vault's auto-compounding saves roughly $1,500/year in manual gas fees while maximizing yield.
Risk Management Strategies for DeFi Farming
- Never invest more than you can lose: Smart contract exploits have resulted in billions of dollars in losses since 2020. The Chainalysis 2024 Crypto Crime Report documented over $3.8 billion stolen from DeFi protocols in 2023 alone.
- Verify smart contract audits: Only use protocols with audits from reputable firms (Trail of Bits, OpenZeppelin, Certik). An audit does not eliminate risk but significantly reduces it.
- Be skeptical of extremely high APYs: Yields above 100% APR are typically unsustainable and funded by token inflation. When emissions decrease or new capital arrives, rates drop rapidly.
- Account for gas fees on small positions: If claiming rewards costs $10 in gas and your daily yield is $5, you need to compound less frequently or use auto-compounders.
- Diversify across protocols and chains: Spreading deposits across multiple protocols reduces single-point-of-failure risk from exploits or protocol failures.
- Track and report taxes: DeFi farming rewards are taxable events in most jurisdictions. Use our Crypto Tax Calculator to estimate obligations.
Frequently Asked Questions
What is the difference between APR and APY in DeFi?
APR (Annual Percentage Rate) is the base interest rate without compounding — it represents simple returns. APY (Annual Percentage Yield) includes the effect of compounding, where earned rewards are reinvested to generate additional returns. With daily compounding, a 50% APR becomes approximately 64.9% APY. The difference grows larger at higher rates: a 100% APR becomes 171.5% APY with daily compounding. Always check whether a protocol displays APR or APY, as this distinction can represent thousands of dollars in projected returns.
Are DeFi yields guaranteed?
No, DeFi yields are not guaranteed and can change dramatically from day to day. Unlike FDIC-insured bank accounts, DeFi protocols have no government backing or deposit insurance. Rates fluctuate based on supply and demand for borrowing, token prices, protocol governance decisions, and the total amount of capital deployed. A pool showing 50% APR today might drop to 10% next week if new liquidity floods in. Historical DeFi data from DefiLlama shows that high-yield opportunities rarely sustain their initial rates beyond 2-4 weeks.
What is impermanent loss in yield farming?
Impermanent loss occurs when you provide liquidity to a trading pair and the relative price of the two tokens changes. If one token doubles in price while the other stays flat, you suffer approximately 5.7% impermanent loss compared to simply holding both tokens. The loss is called "impermanent" because it reverses if prices return to their original ratio. However, if you withdraw while prices are diverged, the loss becomes permanent. For volatile pairs like ETH/altcoin, impermanent loss can exceed farming rewards, making the position unprofitable.
How often should I compound my DeFi rewards?
The optimal compounding frequency depends on your yield rate, position size, and gas costs. The break-even formula is: compound when your accumulated rewards exceed gas cost / (APR x position value). For a $10,000 position at 50% APR with $5 gas fees, the break-even point is every 3.65 days. Compounding more frequently than this wastes gas; less frequently leaves money on the table. Auto-compounding vaults solve this by batching multiple users' rewards into single transactions, reducing per-user gas costs to near zero.
What risks exist in DeFi yield farming?
The primary risks include: smart contract bugs or exploits (billions lost to hacks since 2020), impermanent loss on liquidity positions, rug pulls where developers drain funds, reward token price collapse from inflation, regulatory actions that could restrict protocol access, and oracle manipulation attacks. According to the Chainalysis Crypto Crime Report, DeFi protocols accounted for 82% of all cryptocurrency stolen in 2023. Mitigate these risks by using audited protocols, diversifying across chains, and never depositing more than you can afford to lose entirely.
Do I owe taxes on DeFi yield farming rewards?
Yes, in most jurisdictions DeFi farming rewards are taxable. In the United States, the IRS treats yield farming rewards as ordinary income at their fair market value when received. Each claim event creates a taxable event. Additionally, swapping reward tokens for other crypto triggers capital gains taxes. The UK's HMRC and Australia's ATO have similar positions. Proper record-keeping is essential — use portfolio tracking tools and our Crypto Tax Calculator to estimate your tax obligations before filing.