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Risk Measures and Dynamical Systems
[Rizikové míry a dynamické systémy]

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  • Karel Vaníček

Abstract

The paper is concerned with the dynamic risk measures, e.g. with the estimation of the dynamic VaR and the dynamic ES. After general introduction into the problematic of risk management we describe the methods that are essential for the whole estimation and computation process. At first we introduce very popular time series ARMA-GARCH models and also comment the assumptions of the model that seems to be unrealistic. Due to this fact we introduce EVT models, specifically the POT model. The POT model is able to approximate the far ends of distribution, which are crucial for the estimation equation of quantile based measures. In the last but not least paragraph there is direct estimation of both the dynamic VaR and the dynamic ES. In the last paragraph we discuss possible shortcomings of the proposed model for longer time horizon of prediction and the topic for possible research is indicated.

Suggested Citation

  • Karel Vaníček, 2005. "Risk Measures and Dynamical Systems [Rizikové míry a dynamické systémy]," Acta Oeconomica Pragensia, Prague University of Economics and Business, vol. 2005(1), pages 112-118.
    • Handle: RePEc:prg:jnlaop:v:2005:y:2005:i:1:id:142:p:112-118
    DOI: 10.18267/j.aop.142
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    References listed on IDEAS

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    1. McNeil, Alexander J. & Frey, Rudiger, 2000. "Estimation of tail-related risk measures for heteroscedastic financial time series: an extreme value approach," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 271-300, November.
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    More about this item

    Keywords

    GARCH; EVT; VaR; ES;
    All these keywords.

    JEL classification:

    • G30 - Financial Economics - - Corporate Finance and Governance - - - General

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