• DOI:10.48550/arXiv.2208.03318
• Corpus ID: 251403215

Delta Hedging Liquidity Positions on Automated Market Makers

@article{Khakhar2022DeltaHL,
  title={Delta Hedging Liquidity Positions on Automated Market Makers},
  author={Akhilesh Khakhar and X. Chen},
  journal={ArXiv},
  year={2022},
  volume={abs/2208.03318}
}

• Akhilesh Khakhar, X. Chen
• Published 4 August 2022
• Economics
• ArXiv

Liquidity Providers on Automated Market Makers generate millions of USD in transaction fees daily. However, the net value of a Liquidity Position is vulnerable to price changes in the underlying assets in the pool. The dominant measure of loss in a Liquidity Position is Impermanent Loss. Impermanent Loss for Constant Function Market Makers has been widely studied. We propose a new metric to measure Liquidity Position PNL based on price movement from the underlying assets. Compared to Impermanent Loss, we show how Liquidity Position PNL more appropriately measures the change in the net value of a Liquidity Position as a function of price movement in the assets within the liquidity pool. Our second contribution is an algorithm to delta-hedge arbitrary Liquidity Positions on both uniform liquidity Automated Market Makers (such as Uniswap v2) and concentrated liquidity Automated Market Makers (such as Uniswap v3) via a combination of derivatives.