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Static Replication of Impermanent Loss for Concentrated Liquidity Provision in Decentralised Markets

Author

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  • Jun Deng
  • Hua Zong
  • Yun Wang

Abstract

This article analytically characterizes the impermanent loss of concentrated liquidity provision for automatic market makers in decentralised markets such as Uniswap. We propose two static replication formulas for the impermanent loss by a combination of European calls or puts with strike prices supported on the liquidity provision price interval. It facilitates liquidity providers to hedge permanent loss by trading crypto options in more liquid centralised exchanges such as Deribit. Numerical examples illustrate the astonishing accuracy of the static replication.

Suggested Citation

  • Jun Deng & Hua Zong & Yun Wang, 2022. "Static Replication of Impermanent Loss for Concentrated Liquidity Provision in Decentralised Markets," Papers 2205.12043, arXiv.org, revised Mar 2023.
    • Handle: RePEc:arx:papers:2205.12043
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    File URL: http://arxiv.org/pdf/2205.12043
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    References listed on IDEAS

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    1. Amihud, Yakov & Mendelson, Haim, 1980. "Dealership market : Market-making with inventory," Journal of Financial Economics, Elsevier, vol. 8(1), pages 31-53, March.
    2. O'Hara, Maureen & Oldfield, George S., 1986. "The Microeconomics of Market Making," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(4), pages 361-376, December.
    3. Semyon Malamud & Marzena Rostek, 2017. "Decentralized Exchange," American Economic Review, American Economic Association, vol. 107(11), pages 3320-3362, November.
    4. Robert A Korajczyk & Dermot Murphy, 2019. "High-Frequency Market Making to Large Institutional Trades," The Review of Financial Studies, Society for Financial Studies, vol. 32(3), pages 1034-1067.
    5. Agostino Capponi & Ruizhe Jia, 2021. "The Adoption of Blockchain-based Decentralized Exchanges," Papers 2103.08842, arXiv.org, revised Jul 2021.
    6. Andreas A. Aigner & Gurvinder Dhaliwal, 2021. "UNISWAP: Impermanent Loss and Risk Profile of a Liquidity Provider," Papers 2106.14404, arXiv.org.
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    Cited by:

    1. Maxim Bichuch & Zachary Feinstein, 2022. "Axioms for Automated Market Makers: A Mathematical Framework in FinTech and Decentralized Finance," Papers 2210.01227, arXiv.org, revised Sep 2024.

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