Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula

The aim of this paper is to provide an approximation of the value-at-risk of the multivariate copula associated with financial loss and profit function. A higher dimensional extension of the Taylor–Young formula is used for this estimation in a Euclidean space. Moreover, a time-varying and condition...

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Main Authors: Vini Yves Bernadin Loyara, Remi Guillaume Bagré, Diakarya Barro
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/6802932
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author Vini Yves Bernadin Loyara
Remi Guillaume Bagré
Diakarya Barro
author_facet Vini Yves Bernadin Loyara
Remi Guillaume Bagré
Diakarya Barro
author_sort Vini Yves Bernadin Loyara
collection DOAJ
description The aim of this paper is to provide an approximation of the value-at-risk of the multivariate copula associated with financial loss and profit function. A higher dimensional extension of the Taylor–Young formula is used for this estimation in a Euclidean space. Moreover, a time-varying and conditional copula is used for the modeling of the VaR.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-484687a9d85a4404bc5c6f561e0b23952025-02-03T06:46:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/68029326802932Estimation of the Value at Risk Using the Stochastic Approach of Taylor FormulaVini Yves Bernadin Loyara0Remi Guillaume Bagré1Diakarya Barro2Ecole Supérieure Polytechnique de Kaya, BP 174, Kaya, Burkina FasoUFR-ST, Université Norbert Zongo, BP 376, Koudougou, Burkina FasoUniversité Ouaga 2, 12 BP 417, Ouagadougou, Burkina FasoThe aim of this paper is to provide an approximation of the value-at-risk of the multivariate copula associated with financial loss and profit function. A higher dimensional extension of the Taylor–Young formula is used for this estimation in a Euclidean space. Moreover, a time-varying and conditional copula is used for the modeling of the VaR.http://dx.doi.org/10.1155/2020/6802932
spellingShingle Vini Yves Bernadin Loyara
Remi Guillaume Bagré
Diakarya Barro
Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
International Journal of Mathematics and Mathematical Sciences
title Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
title_full Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
title_fullStr Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
title_full_unstemmed Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
title_short Estimation of the Value at Risk Using the Stochastic Approach of Taylor Formula
title_sort estimation of the value at risk using the stochastic approach of taylor formula
url http://dx.doi.org/10.1155/2020/6802932
work_keys_str_mv AT viniyvesbernadinloyara estimationofthevalueatriskusingthestochasticapproachoftaylorformula
AT remiguillaumebagre estimationofthevalueatriskusingthestochasticapproachoftaylorformula
AT diakaryabarro estimationofthevalueatriskusingthestochasticapproachoftaylorformula