Self-exciting price impact via negative resilience in stochastic order books

dc.contributor.authorAckermann, Julia
dc.contributor.authorKruse, Thomas
dc.contributor.authorUrusov, Mikhail
dc.date.accessioned2023-11-15T13:28:44Z
dc.date.available2023-11-15T13:28:44Z
dc.date.issued2022
dc.description.abstractMost of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact, where trading activities of the large investor stimulate other market participants to trade in the same direction. In the paper we discuss several new qualitative effects on optimal trade execution that arise when we allow resilience to take negative values. We do this in a framework where both market depth and resilience are stochastic processes.
dc.identifier.urihttps://jlupub.ub.uni-giessen.de//handle/jlupub/18652
dc.identifier.urihttp://dx.doi.org/10.22029/jlupub-18016
dc.language.isoen
dc.rightsNamensnennung 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectOptimal trade execution
dc.subjectLimit order book
dc.subjectStochastic market depth
dc.subjectStochastic resilience
dc.subjectNegative resilience
dc.subjectQuadratic BSDE
dc.subjectInfinite-variation execution strategy
dc.subjectSemimartingale execution strategy
dc.subject.ddcddc:510
dc.subject.ddcddc:004
dc.titleSelf-exciting price impact via negative resilience in stochastic order books
dc.typearticle
local.affiliationFB 07 - Mathematik und Informatik, Physik, Geographie
local.source.journaltitleAnnals of operations research
local.source.urihttps://doi.org/10.1007/s10479-022-04973-0

Dateien