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Portfolio Optimization With Drawdown Constraints

In: Supply Chain And Finance

Author

Listed:
  • A. Chekhlov

    (TrendLogic Associates, Inc., One Fawcett Place, Greenwich, Ct 06830, USA)

  • S. Uryasev

    (University of Florida, ISE, P.O. Box 116595, 303 Weil Hall Gainesville, FL 32611-6595, USA)

  • M. Zabarankin

    (University of Florida, ISE, P.O. Box 116595, 303 Weil Hall Gainesville, FL 32611-6595, USA)

Abstract

We propose a new one-parameter family of risk measures, which is called Conditional Draw-down-at-Risk (CDaR). These measures of risk are functionals of the portfolio drawdown (underwater) curve considered in an active portfolio management. For some value of the tolerance parameter β, the CDaR is defined as the mean of the worst (1 - β) * 100% drawdowns. The CDaR risk measure includes the Maximal Drawdown and Average Drawdown as its limiting cases. For a particular example, we find the optimal portfolios for a case of Maximal Drawdown, a case of Average Drawdown, and several intermediate cases between these two. The CDaR family of risk measures is similar to Conditional Value-at-Risk (CVaR), which is also called Mean Shortfall, Mean Access loss, or Tail Value-at-Risk. Some recommendations on how to select the optimal risk measure for getting practically stable portfolios are provided. We solved a real life portfolio allocation problem using the proposed measures.

Suggested Citation

  • A. Chekhlov & S. Uryasev & M. Zabarankin, 2004. "Portfolio Optimization With Drawdown Constraints," World Scientific Book Chapters, in: Panos M Pardalos & Athanasios Migdalas & George Baourakis (ed.), Supply Chain And Finance, chapter 13, pages 209-228, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812562586_0013
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    Citations

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    Cited by:

    1. David E. Allen & Michael McAleer & Robert J. Powell & Abhay K. Singh, 2015. "Down-side Risk Metrics as Portfolio Diversification Strategies across the GFC," Documentos de Trabajo del ICAE 2015-19, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    2. David E. Allen & Michael McAleer & Robert J. Powell & Abhay K. Singh, 2014. "European Market Portfolio Diversification Strategies across the GFC," Documentos de Trabajo del ICAE 2014-27, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    3. David E. Allen & Michael McAleer & Shelton Peiris & Abhay K. Singh, 2014. "Hedge Fund Portfolio Diversification Strategies across the GFC," Tinbergen Institute Discussion Papers 14-151/III, Tinbergen Institute.
    4. Harris, Richard D. F. & Mazibas, Murat, 2022. "Portfolio optimization with behavioural preferences and investor memory," European Journal of Operational Research, Elsevier, vol. 296(1), pages 368-387.
    5. Chung-Han Hsieh, 2022. "On Solving Robust Log-Optimal Portfolio: A Supporting Hyperplane Approximation Approach," Papers 2202.03858, arXiv.org.
    6. Lisa R. Goldberg & Saad Mouti, 2019. "Sustainable Investing and the Cross-Section of Returns and Maximum Drawdown," Papers 1905.05237, arXiv.org, revised Dec 2023.
    7. Albert Dorador, 2024. "Constrained Max Drawdown: a Fast and Robust Portfolio Optimization Approach," Papers 2401.02601, arXiv.org.

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