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A Markov Model of a Limit Order Book: Thresholds, Recurrence, and Trading Strategies

dc.creatorKelly, Francis Patrick
dc.creatorYudovina, E
dc.date.accessioned2017-02-16
dc.date.accessioned2018-11-24T23:27:20Z
dc.date.available2017-06-02T11:27:09Z
dc.date.available2018-11-24T23:27:20Z
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/264608
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3963
dc.description.abstractWe analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for the lowest ask, where the limiting distributions are confined between two thresholds. We make extensive use of fluid limits in order to establish recurrence properties of the model. We use the model to analyze various high-frequency trading strategies, and comment on the Nash equilibria that emerge between high-frequency traders when a market in continuous time is replaced by frequent batch auctions.
dc.languageen
dc.publisherInforms
dc.publisherMathematics of Operations Research
dc.subjectlimit order book
dc.subjectqueueing
dc.subjectfluid limit
dc.subjecthigh-frequency trading
dc.subjectNash equilibrium
dc.titleA Markov Model of a Limit Order Book: Thresholds, Recurrence, and Trading Strategies
dc.typeArticle


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