RSUSSH 2020

IN20-006 A determination formula on the copula-based estimation of Value at Risk for the portfolio problem

Presenter: Andres MauricioMolina Barreto
Chuo University, Japan

Abstract

          Value at Risk (VaR) is one of the widely employed risk measures in quantitative risk management. Because of its readiness of use, both theoretical and practical researches have been extensively made so far. Here, in this paper, we are concerned with the estimation of VaR for the portfolio problem; the portfolio consists of two random variables. Our innovative point is that we do not necessarily assume the independence between random variables but the possibility of nonlinear relation. To analyze the nonlinear dependence, a copula function method is customarily used; as is well-known, copula provides a flexible tool for treating the possible nonlinear relation. We derive the determination formula of VaR analytically in the case of Archimedean copulas, which may be served as elementary machinery of computation. Empirical studies are also implemented for the problem of estimating VaR in stock indexes. The results show that our obtained formula works rather well.

 

Keywords: Value ar Risk (VaR); Portfolio problem; Copulas; Archimedean copulas; Determination formula

Citation format:

Molina Barreto, A., & Ishimura, N.. (2020). A determination formula on the copula-based estimation of Value at Risk for the portfolio problem. Proceeding in RSU International Research Conference, May 1, 2020. Pathum Thani, Thailand.

QUESTIONS & ANSWERS

สุมามาลย์ ปานคำ (Participant)

Can we apply for your obtained formula works in another field?

Andres MauricioMolina Barreto (Presenter)

Thank you for your question. 

Since the formula is concerned with the quantitative risk management, it may be applied to other fields of sciences.

Also the formula can beextended to multi-dimensional cases, on which we are now working. 

 

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