This article explores the dynamics of CEX/DEX arbitrage trading, focusing on Automated Market Maker (AMM) execution. We examine the interplay between block time, base fees, and participants like liquidity providers (LPs) and searchers, supported by simulations and source code.
Understanding CEX/DEX Arbitrage
Role in DEX Volume
- Dominant Volume Driver: CEX/DEX arbitrage is a major contributor to DEX trading volume, often surpassing 50%.
- LVR Model: The Loss and Rebalance (LVR) model quantifies arbitrage opportunities theoretically but faces real-world discrepancies due to post-EIP-1559 transaction costs.
Key Misconceptions
- Block Time Assumptions: Some studies suggest LP losses scale with the square root of block time, but simulations reveal minimal impact.
- Friction from Base Fees: Post-EIP-1559, arbitrage profits are split among searchers, builders, proposers (SBPs), and ETH burned as fees, reducing LP losses.
Arbitrage Mechanism: Step-by-Step
Price Action Dynamics
- CEX Price Shift: Triggers arbitrage when the DEX/CEX spread exceeds the pool’s swap fee.
Trade Execution:
- DEX price adjusts from P_Old to P_DEX.
- LPs sell assets at P_Sale (geometric mean of pre/post-trade prices).
- Friction Zones: Base fees, priority fees, and CEX costs create "non-arbitrage" gaps.
Single-Transaction LVR Distribution
- Liquidity Providers: Earn swap fees but incur losses.
- SBPs: Capture arbitrage profits.
- ETH Holders: Benefit from deflationary pressure via burned fees.
👉 Explore how SBPs dominate arbitrage markets
Simulation Case Studies
Example 1: Small Price Change (+0.1%)
- CEX Price: $3000 → $3003.
- LVR: $93.66 | **LP Fee**: $62.46.
- LP Loss: 33.3% of theoretical LVR.
Example 2: Larger Price Change (+1%)
- LP Fee: $1,184.66.
- LVR: $12,406.47.
- LP Loss: 90% of LVR (super-linear growth).
Example 3: Gradual vs. Sudden Changes
- Short Blocks: Two +0.1% changes → LP loss = 45.4%.
- Long Blocks: One +0.2% change → LP loss = 60.0%.
Key Findings
- GBM Price Models: Shorter blocks marginally benefit LPs.
- Base Fee Impact: EIP-1559 fees reduce arbitrage efficiency, capping LP gains.
- Liquidity Depth: Higher-liquidity pools (e.g., Uniswap v3 ETH/USDC) mitigate friction.
FAQs
1. How does block time affect LVR?
Shorter blocks slightly reduce LP losses, but base fees dominate overall friction.
2. Who profits most from arbitrage?
SBPs (searchers/builders/proposers) capture most profits, while LPs break even or lose.
3. Can LPs avoid losses?
No, but gradual price changes (e.g., GBM models) improve fee recovery.
4. Why are stablecoin pools different?
Lower volatility minimizes LVR, making fees cover losses more effectively.
Conclusion
- Arbitrage Friction: Base fees and SBP dominance split LVR three ways.
- Practical Insight: LP losses depend more on liquidity depth and fee tiers than block time.
- Future Design: L2/appchains could optimize arbitrage by reducing base fee friction.
👉 Learn more about optimizing arbitrage strategies
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