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Equity auction dynamics: latent liquidity models with activity acceleration (2401.06724v2)
Published 12 Jan 2024 in q-fin.TR and q-fin.ST
Abstract: Equity auctions display several distinctive characteristics in contrast to continuous trading. As the auction time approaches, the rate of events accelerates causing a substantial liquidity buildup around the indicative price. This, in turn, results in a reduced price impact and decreased volatility of the indicative price. In this study, we adapt the latent/revealed order book framework to the specifics of equity auctions. We provide precise measurements of the model parameters, including order submissions, cancellations, and diffusion rates. Our setup allows us to describe the full dynamics of the average order book during closing auctions in Euronext Paris. These findings support the relevance of the latent liquidity framework in describing limit order book dynamics. Lastly, we analyze the factors contributing to a sub-diffusive indicative price and demonstrate the absence of indicative price predictability.
- Alfi, Valentina, Andrea Gabrielli, and Luciano Pietronero (2009), “How people react to a deadline: time distribution of conference registrations and fee payments,” Open Physics 7 (3), 483–489.
- AMF, (2017), “Study of the behaviour of high-frequency traders on Euronext Paris,” Available at https://www.amf-france.org/en/news-publications/publications/reports-research-and-analysis/study-behaviour-high-frequency-traders-euronext-paris.
- Aramian, Fatemeh, and Carole Comerton-Forde (2023), “Closing mechanisms in european equities,” Available at SSRN 4533545 .
- Benzaquen, Michael, and Jean-Philippe Bouchaud (2018a), “A fractional reaction–diffusion description of supply and demand,” The European Physical Journal B 91, 1–7.
- Benzaquen, Michael, and Jean-Philippe Bouchaud (2018b), “Market impact with multi-timescale liquidity,” Quantitative Finance 18 (11), 1781–1790.
- Besson, Paul, and Raphaël Fernandez (2021), “Better trading at the close thanks to market impact models,” Euronext quantitative research report.
- Bouchaud, Jean-Philippe, J Doyne Farmer, and Fabrizio Lillo (2009), “How markets slowly digest changes in supply and demand,” in Handbook of financial markets: dynamics and evolution (Elsevier) pp. 57–160.
- Bouchaud, Jean-Philippe, Marc Mézard, and Marc Potters (2002), “Statistical properties of stock order books: empirical results and models,” Quantitative finance 2 (4), 251.
- Boussetta, Selma, Laurence Daures-Lescourret, and Sophie Moinas (2017), “The role of pre-opening mechanisms in fragmented markets,” in Paris December 2017 Finance Meeting EUROFIDAI-AFFI.
- Budish, Eric, Peter Cramton, and John Shim (2015), “The high-frequency trading arms race: Frequent batch auctions as a market design response,” The Quarterly Journal of Economics 130 (4), 1547–1621.
- CBOE, (2020), “CBOE Europe equities guidance note for periodic auctions book,” Available for download at https://www.cboe.com/europe/equities/trading/periodic_auctions_book/resources.
- Chakraborti, Anirban, Ioane Muni Toke, Marco Patriarca, and Frédéric Abergel (2011a), “Econophysics review: I. empirical facts,” Quantitative Finance 11 (7), 991–1012.
- Chakraborti, Anirban, Ioane Muni Toke, Marco Patriarca, and Frédéric Abergel (2011b), “Econophysics review: Ii. agent-based models,” Quantitative Finance 11 (7), 1013–1041.
- Challet, Damien (2019), “Strategic behaviour and indicative price diffusion in Paris Stock exchange auctions,” in New Perspectives and Challenges in Econophysics and Sociophysics (Springer) pp. 3–12.
- Challet, Damien, and Nikita Gourianov (2018), “Dynamical regularities of US equities opening and closing auctions,” Market microstructure and liquidity 4 (01n02), 1950001.
- Challet, Damien, and Robin Stinchcombe (2001), “Analyzing and modeling 1+ 1d markets,” Physica A: Statistical Mechanics and its Applications 300 (1-2), 285–299.
- Chen, Lijian, Kevin E Bassler, Joseph L McCauley, and Gemunu H Gunaratne (2017), “Anomalous scaling of stochastic processes and the moses effect,” Physical Review E 95 (4), 042141.
- Dall’Amico, Lorenzo, Antoine Fosset, Jean-Philippe Bouchaud, and Michael Benzaquen (2019), “How does latent liquidity get revealed in the limit order book?” Journal of Statistical Mechanics: Theory and Experiment 2019 (1), 013404.
- Derchu, Joffrey, Philippe Guillot, Thibaut Mastrolia, and Mathieu Rosenbaum (2020), “Ahead: Ad-hoc electronic auction design,” arXiv preprint arXiv:2010.02827 .
- Derksen, Mike, Bas Kleijn, and Robin De Vilder (2020), “Clearing price distributions in call auctions,” Quantitative Finance 20 (9), 1475–1493.
- Derksen, Mike, Bas Kleijn, and Robin De Vilder (2022), “Heavy tailed distributions in closing auctions,” Physica A: Statistical Mechanics and its Applications 593, 126959.
- Donier, Jonathan, Julius Bonart, Iacopo Mastromatteo, and Jean-Philippe Bouchaud (2015), “A fully consistent, minimal model for non-linear market impact,” Quantitative finance 15 (7), 1109–1121.
- Donier, Jonathan, and Jean-Philippe Bouchaud (2016), “From Walras’ auctioneer to continuous time double auctions: A general dynamic theory of supply and demand,” Journal of Statistical Mechanics: Theory and Experiment 2016 (12), 123406.
- Euronext PARIS, (2019), “Euronext frequently asked questions,” Available for download at https://www.euronext.com/sites/default/files/2019-09/52118_Euronext-FAQ-2019_v07_0.pdf.
- London Stock Exchange, (2018), “Guide to the trading system,” Available for download at https://docs.londonstockexchange.com/sites/default/files/documents/mit201-guidetotradingservicesv146andtradecho.pdf.
- Farmer, J Doyne, Paolo Patelli, and Ilija I Zovko (2005), “The predictive power of zero intelligence in financial markets,” Proceedings of the National Academy of Sciences 102 (6), 2254–2259.
- Gao, Xuefeng, and SJ Deng (2018), “Hydrodynamic limit of order-book dynamics,” Probability in the Engineering and Informational Sciences 32 (1), 96–125.
- Garcin, Matthieu (2017), “Estimation of time-dependent hurst exponents with variational smoothing and application to forecasting foreign exchange rates,” Physica A: statistical mechanics and its applications 483, 462–479.
- Kyle, Albert S (1985), “Continuous auctions and insider trading,” Econometrica: Journal of the Econometric Society , 1315–1335.
- Lemhadri, Ismael (2019), “Price impact in a latent order book,” Market Microstructure and Liquidity 5 (01n04), 2050004.
- Lillo, Fabrizio, and J Doyne Farmer (2004), “The long memory of the efficient market,” Studies in nonlinear dynamics & econometrics 8 (3).
- Mendelson, Haim (1982), “Market behavior in a clearing house,” Econometrica: Journal of the Econometric Society , 1505–1524.
- Muni Toke, Ioane (2015), “Exact and asymptotic solutions of the call auction problem,” Market microstructure and liquidity 1 (01), 1550001.
- Paul, Jusselin, Mastrolia Thibaut, and Rosenbaum Mathieu (2021), “Optimal auction duration: A price formation viewpoint,” Operations Research 69 (6), 1734–1745.
- Raillon, Franck (2020), “The growing importance of the closing auction in share trading volumes,” Journal of Securities Operations & Custody 12 (2), 135–152.
- Salek, Mohammed, Damien Challet, and Ioane Muni Toke (2023), “Price impact in equity auctions: zero, then linear,” arXiv preprint arXiv:2301.05677 .
- Soetaert, Karline, and Filip Meysman (2009), “Solving partial differential equations, using R package ReacTran,” .
- Tóth, Bence, Yves Lemperiere, Cyril Deremble, Joachim De Lataillade, Julien Kockelkoren, and Jean-Philippe Bouchaud (2011), “Anomalous price impact and the critical nature of liquidity in financial markets,” Physical Review X 1 (2), 021006.
- Xetra, (2021), ‘‘Market model for the trading venue Xetra,” Available for download at https://www.xetra.com/resource/blob/2762072/d8e4d932939c6826e4f8391b568e754c/data/T7_Release_10.0_-_Market_Model-_Xetra.pdf.
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