Fluctuations and response in financial markets: the subtle nature of `random' price changes

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dc.creatorBouchaud, Jean-Philippe
dc.creatorGefen, Yuval
dc.creatorPotters, Marc
dc.creatorWyart, Matthieu
dc.date2003-07-14
dc.date2003-08-25
dc.date.accessioned2026-07-07T12:06:47Z
dc.date.available2026-07-07T12:06:47Z
dc.descriptionUsing Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to super-diffusion (or persistence), and mean reverting limit orders that lead to sub-diffusion (or anti-persistence). We define and study a model where the price, at any instant, is the result of the impact of all past trades, mediated by a non constant `propagator' in time that describes the response of the market to a single trade. Within this model, the market is shown to be, in a precise sense, at a critical point, where the price is purely diffusive and the average response function almost constant. We find empirically, and discuss theoretically, a fluctuation-response relation. We also discuss the fraction of truly informed market orders, that correctly anticipate short term moves, and find that it is quite small.
dc.identifierhttps://arxiv.org/abs/cond-mat/0307332
dc.identifierhttp://arxiv.org/abs/cond-mat/0307332
dc.identifierQuantitative Finance 4 (April 2004) 176-190
dc.identifierdoi:10.1088/1469-7688/4/2/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208759
dc.subjectStatistical Mechanics
dc.subjectTrading and Market Microstructure
dc.titleFluctuations and response in financial markets: the subtle nature of `random' price changes
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