Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/176558
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Khalfallah, Mohammed El-arbi | - |
dc.contributor.author | Hadji, Mohammed Lakhdar | - |
dc.contributor.author | Vives i Santa Eulàlia, Josep, 1963- | - |
dc.date.accessioned | 2021-04-22T08:00:24Z | - |
dc.date.available | 2021-04-22T08:00:24Z | - |
dc.date.issued | 2020-10-11 | - |
dc.identifier.issn | 0037-8712 | - |
dc.identifier.uri | http://hdl.handle.net/2445/176558 | - |
dc.description.abstract | We show that the integration by parts formula based on Malliavin-Skorohod calculus techniques for additive processes helps us to compute quantities like $\mathbb{E}\left(L_{T} h\left(L_{T}\right)\right)$, or more generally $\mathbb{E}\left(H\left(L_{T}\right)\right)$, for different suitable functions $h$ or $H$ and different models for the cumulative loss process $L .$ These quantities are important in Insurance and Finance. For example they appear in computing expected shortfall risk measures or prices of stop-loss contracts. The formulas given in the present paper generalize the formulas given in a recent paper by Hillairet, Jiao and Réveillac (HJR). In the HJR paper, despite the use of advanced models, including the Cox process, the treatment of the formulas is based only on Malliavin calculus techniques for the standard Poisson process, a particular case of additive process. In the present paper, Malliavin calculus techniques for additive processes are used, more general results are obtained and proofs appears to be shorter. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Sociedade Paranaense de Matemática | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.5269/bspm.51549 | - |
dc.relation.ispartof | Boletim da Sociedade Paranaense de Matemática, 2020, vol. 40 | - |
dc.relation.uri | https://doi.org/10.5269/bspm.51549 | - |
dc.rights | cc-by (c) Sociedade Paranaense de Matemática, 2020 | - |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Actius financers derivats | - |
dc.subject.classification | Teoria de jocs | - |
dc.subject.classification | Càlcul de Malliavin | - |
dc.subject.classification | Anàlisi estocàstica | - |
dc.subject.other | Derivative securities | - |
dc.subject.other | Game theory | - |
dc.subject.other | Malliavin calculus | - |
dc.subject.other | Analyse stochastique | - |
dc.title | Pricing cumulative loss derivatives under additive models via Malliavin calculus | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 711466 | - |
dc.date.updated | 2021-04-22T08:00:25Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
711466.pdf | 247.55 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License