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Empirical evaluation of a stochastic model for order book dynamics
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2012 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesisAlternative title
Empirical evaluation of a stochastic model for order book dynamics (English)
Abstract [en]

Abstract A stochastic model for orderbook dynamics is proposed in Cont et al.(2010) and empirically evaluated in thisthesis. Arrival rates of limit, marketand cancellation orders are described interms of a Markov chain where thearrival rates are exponentiallydistributed. The model not onlyconsiders the best bid and ask queuesbut also additional price levels of theorder book. Methods for computingseveral quantities important to highfrequency trading are proposed usingLaplace transforms and continuedfractions. These quantities includeconditional probabilities such as theprobability of a price increasedepending on the profile of the orderbook. Computing these probabilities aresupposed to be easy enough to computeanalytically. However this was not thecase. We failed in the inversion of theLaplace transform methods and the mainreason is that the instructions in Contet al. (2010) are not adequate when itcomes to perform the inversion. Hence wedraw the conclusion that the method isno good for predicting short termbehavior of limit order books. For longterm applications the model can be usedto simulate the order book with goodresults.

Place, publisher, year, edition, pages
2012. , 48 p.
UPTEC F, ISSN 1401-5757 ; 12027
Keyword [en]
order book dynamics
National Category
Engineering and Technology
URN: urn:nbn:se:uu:diva-181603OAI: diva2:557590
Educational program
Master Programme in Engineering Physics
Available from: 2012-10-03 Created: 2012-09-26 Last updated: 2012-10-03Bibliographically approved

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