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Replicating Portfolios: Constructing Permissionless Derivatives

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  • Estelle Sterrett
  • Waylon Jepsen
  • Evan Kim

Abstract

The current design space of derivatives in Decentralized Finance (DeFi) relies heavily on oracle systems. Replicating market makers (RMMs) provide a mechanism for converting specific payoff functions to an associated Constant Function Market Makers (CFMMs). We leverage RMMs to replicate the approximate payoff of a Black-Scholes covered call option. RMM-01 is the first implementation of an on-chain expiring option mechanism that relies on arbitrage rather than an external oracle for price. We provide frameworks for derivative instruments and structured products achievable on-chain without relying on oracles. We construct long and binary options and briefly discuss perpetual covered call strategies commonly referred to as "theta vaults." Moreover, we introduce a procedure to eliminate liquidation risk in lending markets. The results suggest that CFMMs are essential for structured product design with minimized trust dependencies.

Suggested Citation

  • Estelle Sterrett & Waylon Jepsen & Evan Kim, 2022. "Replicating Portfolios: Constructing Permissionless Derivatives," Papers 2205.09890, arXiv.org, revised Jun 2022.
    • Handle: RePEc:arx:papers:2205.09890
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    References listed on IDEAS

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    1. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    2. Peter Carr & Katrina Ellis & Vishal Gupta, 1999. "Static Hedging Of Exotic Options," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar, chapter 5, pages 152-176, World Scientific Publishing Co. Pte. Ltd..
    3. Goldman, M Barry & Sosin, Howard B & Gatto, Mary Ann, 1979. "Path Dependent Options: "Buy at the Low, Sell at the High"," Journal of Finance, American Finance Association, vol. 34(5), pages 1111-1127, December.
    4. Guillermo Angeris & Tarun Chitra, 2020. "Improved Price Oracles: Constant Function Market Makers," Papers 2003.10001, arXiv.org, revised Jun 2020.
    5. Guillermo Angeris & Tarun Chitra & Alex Evans & Stephen Boyd, 2022. "Optimal Routing for Constant Function Market Makers," Papers 2204.05238, arXiv.org.
    6. Tashjian, Elizabeth, 1995. "Optimal futures contract design," The Quarterly Review of Economics and Finance, Elsevier, vol. 35(2), pages 153-162.
    7. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    8. Daniel Perez & Sam M. Werner & Jiahua Xu & Benjamin Livshits, 2020. "Liquidations: DeFi on a Knife-edge," Papers 2009.13235, arXiv.org, revised Dec 2021.
    9. Lewis Gudgeon & Sam M. Werner & Daniel Perez & William J. Knottenbelt, 2020. "DeFi Protocols for Loanable Funds: Interest Rates, Liquidity and Market Efficiency," Papers 2006.13922, arXiv.org, revised Oct 2020.
    10. Kaihua Qin & Liyi Zhou & Pablo Gamito & Philipp Jovanovic & Arthur Gervais, 2021. "An Empirical Study of DeFi Liquidations: Incentives, Risks, and Instabilities," Papers 2106.06389, arXiv.org, revised Oct 2021.
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    Cited by:

    1. Waylon Jepsen & Colin Roberts, 2023. "Analysis of the RMM-01 Market Maker," Papers 2310.14320, arXiv.org.
    2. Guillermo Angeris & Alex Evans & Tarun Chitra, 2023. "Replicating market makers," Digital Finance, Springer, vol. 5(2), pages 367-387, June.

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