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Optimal Auction Duration: A Price Formation Viewpoint

Author

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  • Jusselin Paul

    (X - École polytechnique - IP Paris - Institut Polytechnique de Paris, CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Mastrolia Thibaut

    (CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Rosenbaum Mathieu

    (CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

Optimal Auction Duration in Financial Markets In the considered auction market, market makers fill the order book during a given time period while some other investors send market orders. The clearing price is set to maximize the exchanged volume at the clearing time according to the supply and demand of each market participant. The error made between this clearing price and the efficient price is derived as a function of the auction duration. We study the impact of the behavior of market takers on this error to minimize their transaction costs. We compute the optimal duration of the auctions for 77 stocks traded on Euronext and compare the quality of the price formation process under this optimal value to the case of a continuous limit order book. Continuous limit order books are usually found to be suboptimal. Order of magnitude of optimal auction durations is from 2–10 minutes.

Suggested Citation

  • Jusselin Paul & Mastrolia Thibaut & Rosenbaum Mathieu, 2021. "Optimal Auction Duration: A Price Formation Viewpoint," Post-Print hal-04558210, HAL.
    • Handle: RePEc:hal:journl:hal-04558210
    DOI: 10.1287/opre.2021.2113
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    Cited by:

    1. Joffrey Derchu & Dimitrios Kavvathas & Thibaut Mastrolia & Mathieu Rosenbaum, 2023. "Equilibria and incentives for illiquid auction markets," Papers 2307.15805, arXiv.org.
    2. Yan Feng & Shulin Liu, 2024. "Research on Price Formation Based on Resource Optimization Allocation," Sustainability, MDPI, vol. 16(12), pages 1-20, June.

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