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Decentralised Finance and Automated Market Making: Execution and Speculation

Author

Listed:
  • 'Alvaro Cartea
  • Fayc{c}al Drissi
  • Marcello Monga

Abstract

Automated market makers (AMMs) are a new prototype of decentralised exchanges which are revolutionising market interactions. The majority of AMMs are constant product markets (CPMs) where exchange rates are set by a trading function. This work studies optimal trading and statistical arbitrage in CPMs where balancing exchange rate risk and execution costs is key. Empirical evidence shows that execution costs are accurately estimated by the convexity of the trading function. These convexity costs are linear in the trade size and are nonlinear in the depth of liquidity and in the exchange rate. We develop models for when exchange rates form in a competing centralised exchange, in a CPM, or in both venues. Finally, we derive computationally efficient strategies that account for stochastic convexity costs and we showcase their out-of-sample performance.

Suggested Citation

  • 'Alvaro Cartea & Fayc{c}al Drissi & Marcello Monga, 2023. "Decentralised Finance and Automated Market Making: Execution and Speculation," Papers 2307.03499, arXiv.org, revised Jul 2024.
    • Handle: RePEc:arx:papers:2307.03499
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    File URL: http://arxiv.org/pdf/2307.03499
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    References listed on IDEAS

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    3. Philippe Bergault & Fayçal Drissi & Olivier Guéant, 2022. "Multi-asset Optimal Execution and Statistical Arbitrage Strategies under Ornstein--Uhlenbeck Dynamics," Post-Print hal-03680071, HAL.
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    Cited by:

    1. Roger Lee, 2023. "All AMMs are CFMMs. All DeFi markets have invariants. A DeFi market is arbitrage-free if and only if it has an increasing invariant," Papers 2310.09782, arXiv.org, revised Dec 2023.

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