Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas
In financial analysis, stochastic models are more and more used to estimate potential outcomes in a risky framework. This paper proposes an approach of modeling the dependence of losses on securities, and the potential loss of the portfolio is divided into sectors each including two subsectors. The...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/4651044 |
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| _version_ | 1832561370753662976 |
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| author | Wendkouni Yaméogo Diakarya Barro |
| author_facet | Wendkouni Yaméogo Diakarya Barro |
| author_sort | Wendkouni Yaméogo |
| collection | DOAJ |
| description | In financial analysis, stochastic models are more and more used to estimate potential outcomes in a risky framework. This paper proposes an approach of modeling the dependence of losses on securities, and the potential loss of the portfolio is divided into sectors each including two subsectors. The Weibull model is used to describe the stochastic behavior of the default time while a nested class of Archimedean copulas at three levels is used to model the maximum of the value at risk of the portfolio. |
| format | Article |
| id | doaj-art-8f6d63fa2a0a4b239c8fc1a9610f5c52 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8f6d63fa2a0a4b239c8fc1a9610f5c522025-02-03T01:25:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/46510444651044Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean CopulasWendkouni Yaméogo0Diakarya Barro1LANIBIO, Université Joseph Ki-Zerbo, Ouagadougou, Burkina FasoUniversité Thomas Sankara, Ouagadougou, Burkina FasoIn financial analysis, stochastic models are more and more used to estimate potential outcomes in a risky framework. This paper proposes an approach of modeling the dependence of losses on securities, and the potential loss of the portfolio is divided into sectors each including two subsectors. The Weibull model is used to describe the stochastic behavior of the default time while a nested class of Archimedean copulas at three levels is used to model the maximum of the value at risk of the portfolio.http://dx.doi.org/10.1155/2021/4651044 |
| spellingShingle | Wendkouni Yaméogo Diakarya Barro Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas International Journal of Mathematics and Mathematical Sciences |
| title | Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas |
| title_full | Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas |
| title_fullStr | Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas |
| title_full_unstemmed | Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas |
| title_short | Modeling the Dependence of Losses of a Financial Portfolio Using Nested Archimedean Copulas |
| title_sort | modeling the dependence of losses of a financial portfolio using nested archimedean copulas |
| url | http://dx.doi.org/10.1155/2021/4651044 |
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