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Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes

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Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes

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dc.contributor.author El-Fakharany, Mohamed es_ES
dc.contributor.author Company Rossi, Rafael es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2017-07-03T10:35:23Z
dc.date.available 2017-07-03T10:35:23Z
dc.date.issued 2016-04
dc.identifier.issn 0377-0427
dc.identifier.uri http://hdl.handle.net/10251/84334
dc.description.abstract [EN] In this paper, numerical analysis of finite difference schemes for partial integro-differential models related to European and American option pricing problems under a wide class of Lévy models is studied. Apart from computational and accuracy issues, qualitative properties such as positivity are treated. Consistency of the proposed numerical scheme and stability in the von Neumann sense are included. Gauss Laguerre quadrature formula is used for the discretization of the integral part. Numerical examples illustrating the potential advantages of the presented results are included. es_ES
dc.description.sponsorship This work has been partially supported by the European Union in the FP7-PEOPLE-2012-ITN program under Grant Agreement Number 304617 (FP7 Marie Curie Action, Project Multi-ITN STRIKE-Novel Methods in Computational Finance) and the Ministerio de Economia y Competitividad Spanish grant MTM2013-41765-P. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Numerical analysis es_ES
dc.subject Partial integro-differential equation es_ES
dc.subject Option pricing es_ES
dc.subject Gauss Laguerre quadrature es_ES
dc.subject Positivity es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2015.10.027
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/304617/EU/Novel Methods in Computational Finance/
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports es_ES
dc.contributor.affiliation Universitat Politècnica de València. Facultad de Administración y Dirección de Empresas - Facultat d'Administració i Direcció d'Empreses es_ES
dc.description.bibliographicCitation El-Fakharany, M.; Company Rossi, R.; Jódar Sánchez, LA. (2016). Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. Journal of Computational and Applied Mathematics. 296:739-752. https://doi.org/10.1016/j.cam.2015.10.027 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.cam.2015.10.027 es_ES
dc.description.upvformatpinicio 739 es_ES
dc.description.upvformatpfin 752 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 296 es_ES
dc.relation.senia 297428 es_ES
dc.identifier.eissn 1879-1778
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder European Commission


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