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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Language: | English |
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Wiley
2020-01-01
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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. |
format | Article |
id | doaj-art-484687a9d85a4404bc5c6f561e0b2395 |
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 |