Stability analysis of Riccati differential equations related to affine diffusion processes

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dc.contributor.authorKim, Kyoung-Kukko
dc.date.accessioned2013-03-11T01:43:45Z-
dc.date.available2013-03-11T01:43:45Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-04-
dc.identifier.citationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.364, no.1, pp.18 - 31-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10203/97952-
dc.description.abstractWe study a class of generalized Riccati differential equations associated with affine diffusion processes. These diffusions arise in financial econometrics and branching processes. The generalized Riccati equations determine the Fourier transform of the diffusion's transition law. We investigate stable regions of the dynamical systems and analyze their blow-up times. We discuss the implication of applying these results to affine diffusions and, in particular, to option pricing theory. (C) 2009 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectDYNAMICAL-SYSTEMS-
dc.subjectREGIONS-
dc.subjectFORM-
dc.titleStability analysis of Riccati differential equations related to affine diffusion processes-
dc.typeArticle-
dc.identifier.wosid000282354000002-
dc.identifier.scopusid2-s2.0-71249160434-
dc.type.rimsART-
dc.citation.volume364-
dc.citation.issue1-
dc.citation.beginningpage18-
dc.citation.endingpage31-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.identifier.doi10.1016/j.jmaa.2009.11.020-
dc.contributor.localauthorKim, Kyoung-Kuk-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorRiccati differential equation-
dc.subject.keywordAuthorStability boundary-
dc.subject.keywordAuthorBlow-up time-
dc.subject.keywordAuthorImplied volatility-
dc.subject.keywordPlusDYNAMICAL-SYSTEMS-
dc.subject.keywordPlusREGIONS-
dc.subject.keywordPlusFORM-
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