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A note on the large homogeneous portfolio approximation with the Student-t copula

Author

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  • Lutz Schloegl
  • Dominic O’Kane

Abstract

We extend the Large Homogeneous Portfolio (LHP) approximation to the case of the Student-t copula, and provide analytic formulae for the density and the cdf of the portfolio loss distribution. We compare the Value-at-Risk implied by the Student-t copula to that obtained using the Gaussian as well as two prominent members of the Archimedean family, namely the Clayton and the Gumbel copulae. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Lutz Schloegl & Dominic O’Kane, 2005. "A note on the large homogeneous portfolio approximation with the Student-t copula," Finance and Stochastics, Springer, vol. 9(4), pages 577-584, October.
    • Handle: RePEc:spr:finsto:v:9:y:2005:i:4:p:577-584
    DOI: 10.1007/s00780-004-0142-7
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    Citations

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    Cited by:

    1. Konstantinos Spiliopoulos, 2014. "Systemic Risk and Default Clustering for Large Financial Systems," Papers 1402.5352, arXiv.org, revised Feb 2015.
    2. Giuseppe Genovese & Ashkan Nikeghbali & Nicola Serra & Gabriele Visentin, 2022. "Universal approximation of credit portfolio losses using Restricted Boltzmann Machines," Papers 2202.11060, arXiv.org, revised Apr 2023.
    3. Lee, Yongwoong & Poon, Ser-Huang, 2014. "Forecasting and decomposition of portfolio credit risk using macroeconomic and frailty factors," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 69-92.
    4. Barbara Choroś-Tomczyk & Wolfgang Karl H�rdle & Ludger Overbeck, 2014. "Copula dynamics in CDOs," Quantitative Finance, Taylor & Francis Journals, vol. 14(9), pages 1573-1585, September.
    5. Patrick Gagliardini & Christian Gouriéroux, 2011. "Approximate Derivative Pricing for Large Classes of Homogeneous Assets with Systematic Risk," Journal of Financial Econometrics, Oxford University Press, vol. 9(2), pages 237-280, Spring.
    6. Pierre Rostan & Alexandra Rostan & François-Éric Racicot, 2020. "Increment Variance Reduction Techniques with an Application to Multi-name Credit Derivatives," Computational Economics, Springer;Society for Computational Economics, vol. 55(1), pages 1-35, January.
    7. Ascheberg, Marius & Bick, Björn & Kraft, Holger, 2013. "Hedging structured credit products during the credit crisis: A horse race of 10 models," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1687-1705.
    8. Tang, Qihe & Tang, Zhaofeng & Yang, Yang, 2019. "Sharp asymptotics for large portfolio losses under extreme risks," European Journal of Operational Research, Elsevier, vol. 276(2), pages 710-722.
    9. Chen, Jianli & Liu, Zhen & Li, Shenghong, 2014. "Mixed copula model with stochastic correlation for CDO pricing," Economic Modelling, Elsevier, vol. 40(C), pages 167-174.
    10. Ackerer Damien & Vatter Thibault, 2017. "Dependent defaults and losses with factor copula models," Dependence Modeling, De Gruyter, vol. 5(1), pages 375-399, December.
    11. Conghui Hu & Xun Zhang & Qiuming Gao, 2015. "Synthetic CDO pricing: the perspective of risk integration," Applied Economics, Taylor & Francis Journals, vol. 47(15), pages 1574-1587, March.
    12. Tang, Qihe & Tong, Zhiwei & Yang, Yang, 2021. "Large portfolio losses in a turbulent market," European Journal of Operational Research, Elsevier, vol. 292(2), pages 755-769.
    13. Rösch, Daniel & Scheule, Harald, 2016. "The role of loan portfolio losses and bank capital for Asian financial system resilience," Pacific-Basin Finance Journal, Elsevier, vol. 40(PB), pages 289-305.
    14. Gunter Meissner & Seth Rooder & Kristofor Fan, 2013. "The impact of different correlation approaches on valuing credit default swaps with counterparty risk," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1903-1913, December.
    15. Puneet Pasricha & Dharmaraja Selvamuthu & Selvaraju Natarajan, 2022. "A contagion process with self-exciting jumps in credit risk applications," Papers 2202.12946, arXiv.org.
    16. Okhrin, Ostap & Xu, Ya Fei, 2017. "A comparison study of pricing credit default swap index tranches with convex combination of copulae," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 193-217.

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