Uniswap Fees, Volatility Harvesting, and LP Growth
Summary
The article analyzes whether liquidity providers in a cash and risky-asset pool can outperform a static, unrebalanced portfolio when every trade is an arbitrage trade. Its model treats the risky asset as moving randomly and compares long-run compounded wealth growth. The core result is that when volatility is sufficiently high relative to average return, frequent rebalancing can improve asymptotic growth, even though each arbitrage trade imposes an immediate loss on the pool.
In this framing, arbitrage effectively rebalances the LP’s holdings, while the fee controls how often prices must move before rebalancing occurs. The analysis therefore favors a small positive fee when rebalancing is beneficial. The article explains this through volatility drag: expected returns can obscure the weaker compounding outcome typical paths produce. It cites mathematical proofs and simulations, but emphasizes that the result rests on stylized price dynamics, a simplified fee structure, and assumptions such as arbitrarily frequent trading. Real-world transaction costs, asset parameters, and multi-asset pools remain open questions.
Key ideas
- Frequent rebalancing can improve long-run wealth growth when volatility is high relative to expected return.
- Arbitrage trades can trigger rebalancing for a liquidity provider while causing an immediate trading loss.
- Within the model, a small positive fee can support rebalancing while allowing it to occur frequently.
- Expected value and compounded growth may diverge because losses reduce the capital available for recovery.
- The conclusions rely on stylized assumptions and do not establish real-world LP profitability.
Tags
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.