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2012 | 895 | 59-70

Article title

Zastosowanie funkcji łączących w wyznaczaniu granic dla Value-at-Risk

Authors

Title variants

EN
The Application of Copula Function in Determining Bounds for Value-at-Risk

Languages of publication

PL

Abstracts

EN
The subject of the article concerns bank risk generally and addresses the problem of determining relevant limits for the VaR risk measure at the aggregated level for dependent random variables whose joint multidimensional distribution function is unknown. The information about the dependencies between the random variables is regarded as partial, which allows for the introduction of limiting conditions for the unknown distribution function and the determination of limits for VaR. The dependences among the random variables were introduced on the ground of copula function theory. Limits for the aggregated VaR value were determined on the basis of Williamson and Downson numerical algorithm by means of the programme MATLAB.

Contributors

  • Uniwersytet Ekonomiczny w Katowicach, Katedra Ekonometrii, ul. Bogucicka 14, 40-226 Katowice, Poland

References

  • Chernobai A., Rachev S., Fabozzi F. [2007], Operational Risk. A Guide to Basel II Capital Requirements, Models and Analysis, John Wiley & Sons, New Jersey.
  • Cherubini U., Luciano E., Vecchiato W. [2006], Copula Methods in Finance, Wiley Finance, John Wiley& Sons, West Sussex.
  • Denuit M., Genest C., Mareau E. [1999], Stochastic Bounds on Sums of Dependent Risks, „Insurance: Mathematics and Economics”, 25.
  • Embrechts P., Hoing A., Juri A. [2003], Using Copulae to Bound the Value-at-Risk for Functions of Dependent Risks, „Finance and Stochastics”, 7.
  • Heilpern S. [2007], Funkcje łączące, Wydawnictwo Akademii Ekonomicznej we Wrocławiu, Wrocław.
  • Klugman S., Panjer H., Willmot G. [2008], Loss Models. From Data to Decision, John Wiley & Sons, New Jersey.
  • Marcinkowska M. [2009], Standardy kapitałowe banków, Regan Press, Gdańsk.
  • Piontek K., Papla D. [2010], Zastosowanie rozkładów α-stabilnych i funkcji powiązań (copula) w obliczaniu wartości zagrożonej (VaR), http://www.kpiontek.ue.wroc.pl/, dostęp: 3.07.2010.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-f323e477-b6f3-458f-84d6-de0c8f4b00ef
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