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Pseudo rough vol-of-vol through Markovian approximation

dc.contributor.authorGuerreiro, Henrique
dc.contributor.authorGuerra, João
dc.date.accessioned2024-02-22T13:52:13Z
dc.date.available2024-02-22T13:52:13Z
dc.date.issued2024-02
dc.description.abstractWe discuss a possible framework for a (pseudo) rough vol-of-vol model through a multi-factor Markovian approximation of the vol-of-vol process. We identify a key martingale condition which may allow to express the VIX in terms of the solution of a certain Riccati ordinary differential equation. We derive this equation and provide sufficient conditions for the existence of solutions. We also provide some partial results regarding the martingale condition. In particular, we verify a local martingale condition.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationGuerreiro, Henrique e João Guerra (2024). "Pseudo rough vol-of-vol through Markovian approximation". REM Working paper series, nº 0310/2024pt_PT
dc.identifier.issn2184-108X
dc.identifier.urihttp://hdl.handle.net/10400.5/30181
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherISEG – REM (Research in Economics and Mathematics)pt_PT
dc.relationSFRH/BD/147161/2019pt_PT
dc.relationCEMAPRE/REM-UiDB/05069/2020pt_PT
dc.relation.ispartofseriesREM Working paper series;nº 0310/2024
dc.relation.publisherversionhttps://rem.rc.iseg.ulisboa.pt/wps/pdf/REM_WP_0310_2024.pdfpt_PT
dc.subjectVIXpt_PT
dc.subjectrough volatilitypt_PT
dc.subjectMarkovian approximationpt_PT
dc.subjectexponentially affine processpt_PT
dc.titlePseudo rough vol-of-vol through Markovian approximationpt_PT
dc.typeworking paper
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typeworkingPaperpt_PT

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