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Designing Autonomous Markets for Stablecoin Monetary Policy

Author

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  • Ariah Klages-Mundt
  • Steffen Schuldenzucker

Abstract

We develop a new type of automated market maker (AMM) that helps to maintain stability and long-term viability in a stablecoin. This primary market AMM (P-AMM) is an autonomous mechanism for pricing minting and redemption of stablecoins in all possible states and is designed to achieve several desirable properties. We first cover several case studies of current ad hoc stablecoin issuance and redemption mechanisms, several of which have contributed to recent stablecoin de-peggings, and formulate desirable properties of a P-AMM that support stability and usability. We then design a P-AMM redemption curve and show that it satisfies these properties, including bounded loss for both the protocol and stablecoin holders. We further show that this redemption curve is path independent and has properties of path deficiency in extended settings involving trading fees and a separate minting curve. This means that system health weakly improves relative to the path independent setting along any trading curve and that there is no incentive to strategically subdivide redemptions. Finally, we show how to implement the P-AMM efficiently on-chain.

Suggested Citation

  • Ariah Klages-Mundt & Steffen Schuldenzucker, 2022. "Designing Autonomous Markets for Stablecoin Monetary Policy," Papers 2212.12398, arXiv.org.
    • Handle: RePEc:arx:papers:2212.12398
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    File URL: http://arxiv.org/pdf/2212.12398
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    References listed on IDEAS

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    1. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    2. Ariah Klages-Mundt & Andreea Minca, 2020. "While Stability Lasts: A Stochastic Model of Non-Custodial Stablecoins," Papers 2004.01304, arXiv.org, revised Jul 2022.
    3. Bullmann, Dirk & Klemm, Jonas & Pinna, Andrea, 2019. "In search for stability in crypto-assets: are stablecoins the solution?," Occasional Paper Series 230, European Central Bank.
    4. Li, Ye & Mayer, Simon, 2020. "Managing Stablecoins: Optimal Strategies, Regulation, and Transaction Data as Productive Capital," Working Paper Series 2020-30, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
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    6. Ariah Klages-Mundt & Andreea Minca, 2019. "(In)Stability for the Blockchain: Deleveraging Spirals and Stablecoin Attacks," Papers 1906.02152, arXiv.org, revised Mar 2021.
    7. Ariah Klages‐Mundt & Andreea Minca, 2022. "While stability lasts: A stochastic model of noncustodial stablecoins," Mathematical Finance, Wiley Blackwell, vol. 32(4), pages 943-981, October.
    8. Guillermo Angeris & Alex Evans & Tarun Chitra, 2020. "When does the tail wag the dog? Curvature and market making," Papers 2012.08040, arXiv.org.
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    Cited by:

    1. Shange Fu & Qin Wang & Jiangshan Yu & Shiping Chen, 2024. "Leveraging Ponzi‐like designs in stablecoins," International Journal of Network Management, John Wiley & Sons, vol. 34(4), July.

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