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Contour map of estimation error for Expected Shortfall

Author

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  • Imre Kondor
  • Fabio Caccioli
  • G'abor Papp
  • Matteo Marsili

Abstract

The contour map of estimation error of Expected Shortfall (ES) is constructed. It allows one to quantitatively determine the sample size (the length of the time series) required by the optimization under ES of large institutional portfolios for a given size of the portfolio, at a given confidence level and a given estimation error.

Suggested Citation

  • Imre Kondor & Fabio Caccioli & G'abor Papp & Matteo Marsili, 2015. "Contour map of estimation error for Expected Shortfall," Papers 1502.06217, arXiv.org.
    • Handle: RePEc:arx:papers:1502.06217
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    References listed on IDEAS

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    1. Istvan Varga-Haszonits & Imre Kondor, 2008. "The instability of downside risk measures," Papers 0811.0800, arXiv.org, revised Nov 2008.
    2. Fabio Caccioli & Susanne Still & Matteo Marsili & Imre Kondor, 2013. "Optimal liquidation strategies regularize portfolio selection," The European Journal of Finance, Taylor & Francis Journals, vol. 19(6), pages 554-571, July.
    3. Stefano Ciliberti & Imre Kondor & Marc Mezard, 2007. "On the feasibility of portfolio optimization under expected shortfall," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 389-396.
    4. Susanne Still & Imre Kondor, 2009. "Regularizing Portfolio Optimization," Papers 0911.1694, arXiv.org.
    5. Fabio Caccioli & Imre Kondor & Matteo Marsili & Susanne Still, 2014. "$L_p$ regularized portfolio optimization," Papers 1404.4040, arXiv.org.
    6. Imre Kondor & István Varga-Haszonits, 2010. "Instability Of Portfolio Optimization Under Coherent Risk Measures," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 425-437.
    7. Imre Kondor, 2014. "Estimation Error of Expected Shortfall," Papers 1402.5534, arXiv.org.
    8. Kondor, Imre & Pafka, Szilard & Nagy, Gabor, 2007. "Noise sensitivity of portfolio selection under various risk measures," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1545-1573, May.
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    Citations

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    Cited by:

    1. Varga-Haszonits, Istvan & Caccioli, Fabio & Kondor, Imre, 2016. "Replica approach to mean-variance portfolio optimization," LSE Research Online Documents on Economics 68955, London School of Economics and Political Science, LSE Library.
    2. G'abor Papp & Imre Kondor & Fabio Caccioli, 2021. "Optimizing Expected Shortfall under an $\ell_1$ constraint -- an analytic approach," Papers 2103.04375, arXiv.org.
    3. Istvan Varga-Haszonits & Fabio Caccioli & Imre Kondor, 2016. "Replica approach to mean-variance portfolio optimization," Papers 1606.08679, arXiv.org.
    4. Papp, Gábor & Kondor, Imre & Caccioli, Fabio, 2021. "Optimizing expected shortfall under an ℓ1 constraint—an analytic approach," LSE Research Online Documents on Economics 111051, London School of Economics and Political Science, LSE Library.
    5. Imre Kondor & G'abor Papp & Fabio Caccioli, 2016. "Analytic solution to variance optimization with no short-selling," Papers 1612.07067, arXiv.org, revised Jan 2017.

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