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Delta Hedging Liquidity Positions on Automated Market Makers

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arxiv 2208.03318 v3 pith:73C6QX5T submitted 2022-08-04 cs.CE cs.LGq-fin.TR

Delta Hedging Liquidity Positions on Automated Market Makers

classification cs.CE cs.LGq-fin.TR
keywords liquiditymakersmarketautomatedpositionassetslossprice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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. We show how this new metric more appropriately measures the change in the net value of a Liquidity Position as a function of price movement in the underlying assets. 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.

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