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Posouzení modelů odhadu tržního rizika s využitím DEA přístupu
[Examination of Market Risk Estimation Models via DEA Approach Modelling]

Author

Listed:
  • Aleš Kresta
  • Tomáš Tichý
  • Mehdi Toloo

Abstract

Measuring and managing of financial risks is an essential part of the management of financial institutions. The appropriate risk management should lead to an efficient allocation of available funds. Approaches based on Value at Risk measure have been used as a means for measuring market risk since the late 20th century, although regulators newly suggest to apply more complex method of Expected Shortfall. While evaluating models for market risk estimation based on Value at Risk is relatively simple and involves so-called backtesting procedure, in the case of Expected Shortfall we cannot apply similar procedure. In this article we therefore focus on an alternative method for comprehensive evaluation of VaR models at various significance levels by means of data envelopment analysis (DEA). This approach should lead to the adoption of the model which is also suitable in terms of the Expected Shortfall criterion. Based on the illustrative results from the US stock market we conclude that NIG model and historical simulation should be preferred to normal distribution and GARCH model. We can also recommend to estimate the parameters from the period slightly shorter than two years.

Suggested Citation

  • Aleš Kresta & Tomáš Tichý & Mehdi Toloo, 2017. "Posouzení modelů odhadu tržního rizika s využitím DEA přístupu [Examination of Market Risk Estimation Models via DEA Approach Modelling]," Politická ekonomie, Prague University of Economics and Business, vol. 2017(2), pages 161-178.
    • Handle: RePEc:prg:jnlpol:v:2017:y:2017:i:2:id:1134:p:161-178
    DOI: 10.18267/j.polek.1134
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    References listed on IDEAS

    as
    1. Juan Carlos Escanciano & Zaichao Du, 2015. "Backtesting Expected Shortfall: Accounting for Tail Risk," CAEPR Working Papers 2015-001, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
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    More about this item

    Keywords

    model quality; data envelopment analysis; market risk; Value at Risk; historical simu-lation; NIG;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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