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  • Market risk estimation is a challenging and no less important task of all financial institutions, which requires the modeling of portfolio returns. When modeling the portfolio returns, we are interested in modeling both the distributions of individual assets returns and dependency of these marginal distributions. The useful tool for dependency modeling are copula functions. The task of this article is to compare the utilization of various copula functions, specifically Gaussian, Student and some other types of copula functions, for portfolio returns modeling and subsequent VaR estimation. As marginal distributions normal inverse Gaussian model (NIG) and also normal distribution are assumed in the paper. These two marginal distributions both joined by chosen copula functions are backtested on time series of historical returns of portfolios dependent on both stock market indices and foreign exchange rates.
  • Market risk estimation is a challenging and no less important task of all financial institutions, which requires the modeling of portfolio returns. When modeling the portfolio returns, we are interested in modeling both the distributions of individual assets returns and dependency of these marginal distributions. The useful tool for dependency modeling are copula functions. The task of this article is to compare the utilization of various copula functions, specifically Gaussian, Student and some other types of copula functions, for portfolio returns modeling and subsequent VaR estimation. As marginal distributions normal inverse Gaussian model (NIG) and also normal distribution are assumed in the paper. These two marginal distributions both joined by chosen copula functions are backtested on time series of historical returns of portfolios dependent on both stock market indices and foreign exchange rates. (en)
Title
  • Backtesting of market risk estimation assuming various copula functions
  • Backtesting of market risk estimation assuming various copula functions (en)
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  • Backtesting of market risk estimation assuming various copula functions
  • Backtesting of market risk estimation assuming various copula functions (en)
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  • RIV/61989100:27510/12:86082984!RIV13-MSM-27510___
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  • P(EE2.3.30.0016), S
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  • 124369
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  • RIV/61989100:27510/12:86082984
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  • copula function; subordinated Lévy model; model validation; market risk; backtesting (en)
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  • [002416C03FCF]
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  • Karviná
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  • Opava
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  • Proceedings of 30th International Conference Mathematical Methods in Economics : 11-13 September 2012, Karviná, Czech Republic
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  • Kresta, Aleš
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  • Slezská univerzita v Opavě
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  • 978-80-7248-779-0
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  • 27510
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