Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study

Markovian and non-Markovian models are presented to model the futures market price formation. We show that the waiting-time and the survival probabilities have a significant impact on the price dynamics. This study tests analytical solutions and present numerical results for the prob...

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Main Authors: Frédéric Délèze, Sergey Osmekhin
Format: Article
Language:English
Published: Eastern Macedonia and Thrace Institute of Technology 2015-01-01
Series:Journal of Engineering Science and Technology Review
Subjects:
Online Access:http://www.jestr.org/downloads/Volume8Issue1/fulltext38115.pdf
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spelling doaj-1a2cf7d0005a426584e0dc501ac3f4612020-11-24T22:55:58ZengEastern Macedonia and Thrace Institute of TechnologyJournal of Engineering Science and Technology Review1791-23771791-23772015-01-01811215Price Formation Modelling by Continuous-Time Random Walk: An Empirical StudyFrédéric Délèze0Sergey Osmekhin1Department of Finance and Statistics, Hanken School of Economics, P.O. Box 479, FI-00101, Helsinki, FinlandDepartment of Finance and Statistics, Hanken School of Economics, P.O. Box 479, FI-00101, Helsinki, FinlandMarkovian and non-Markovian models are presented to model the futures market price formation. We show that the waiting-time and the survival probabilities have a significant impact on the price dynamics. This study tests analytical solutions and present numerical results for the probability density function of the continuoustime random walk using tick-by-tick quotes prices for the DAX 30 index futures.http://www.jestr.org/downloads/Volume8Issue1/fulltext38115.pdfeconophysicscontinuous-time random walkDAX futuresnon-Markovian modelprice dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Frédéric Délèze
Sergey Osmekhin
spellingShingle Frédéric Délèze
Sergey Osmekhin
Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
Journal of Engineering Science and Technology Review
econophysics
continuous-time random walk
DAX futures
non-Markovian model
price dynamics
author_facet Frédéric Délèze
Sergey Osmekhin
author_sort Frédéric Délèze
title Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
title_short Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
title_full Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
title_fullStr Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
title_full_unstemmed Price Formation Modelling by Continuous-Time Random Walk: An Empirical Study
title_sort price formation modelling by continuous-time random walk: an empirical study
publisher Eastern Macedonia and Thrace Institute of Technology
series Journal of Engineering Science and Technology Review
issn 1791-2377
1791-2377
publishDate 2015-01-01
description Markovian and non-Markovian models are presented to model the futures market price formation. We show that the waiting-time and the survival probabilities have a significant impact on the price dynamics. This study tests analytical solutions and present numerical results for the probability density function of the continuoustime random walk using tick-by-tick quotes prices for the DAX 30 index futures.
topic econophysics
continuous-time random walk
DAX futures
non-Markovian model
price dynamics
url http://www.jestr.org/downloads/Volume8Issue1/fulltext38115.pdf
work_keys_str_mv AT fredericdeleze priceformationmodellingbycontinuoustimerandomwalkanempiricalstudy
AT sergeyosmekhin priceformationmodellingbycontinuoustimerandomwalkanempiricalstudy
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