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Capital Asset Pricing Model (CAPM) with drawdown measure

Author

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  • Zabarankin, Michael
  • Pavlikov, Konstantin
  • Uryasev, Stan

Abstract

The notion of drawdown is central to active portfolio management. Conditional Drawdown-at-Risk (CDaR) is defined as the average of a specified percentage of the largest drawdowns over an investment horizon and includes maximum and average drawdowns as particular cases. The necessary optimality conditions for a portfolio optimization problem with CDaR yield the capital asset pricing model (CAPM) stated in both single and multiple sample-path settings. The drawdown beta in the CAPM has a simple interpretation and is evaluated for hedge fund indices from the HFRX database in the single sample-path setting. Drawdown alpha is introduced similarly to the alpha in the classical CAPM and is evaluated for the same hedge fund indices. Both drawdown beta and drawdown alpha are used to prioritize hedge fund strategies and to identify instruments for hedging against market drawdowns.

Suggested Citation

  • Zabarankin, Michael & Pavlikov, Konstantin & Uryasev, Stan, 2014. "Capital Asset Pricing Model (CAPM) with drawdown measure," European Journal of Operational Research, Elsevier, vol. 234(2), pages 508-517.
  • Handle: RePEc:eee:ejores:v:234:y:2014:i:2:p:508-517
    DOI: 10.1016/j.ejor.2013.03.024
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Ola Mahmoud, 2015. "The Temporal Dimension of Risk," Papers 1501.01573, arXiv.org, revised Jun 2016.
    2. 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.
    3. repec:eee:apmaco:v:282:y:2016:i:c:p:187-203 is not listed on IDEAS
    4. repec:spr:annopr:v:249:y:2017:i:1:d:10.1007_s10479-015-2051-x is not listed on IDEAS
    5. David E. Allen & Michael McAleer & Abhay K. Singh, 2016. "A Multi-Criteria Portfolio Analysis of Hedge Fund Strategies," Documentos de Trabajo del ICAE 2017-03, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    6. Pınar, Mustafa Ç., 2014. "Equilibrium in an ambiguity-averse mean–variance investors market," European Journal of Operational Research, Elsevier, vol. 237(3), pages 957-965.
    7. 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.
    8. 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.
    9. Charwand, Mansour & Gitizadeh, Mohsen & Siano, Pierluigi, 2017. "A new active portfolio risk management for an electricity retailer based on a drawdown risk preference," Energy, Elsevier, vol. 118(C), pages 387-398.
    10. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2016. "Good deals and benchmarks in robust portfolio selection," European Journal of Operational Research, Elsevier, vol. 250(2), pages 666-678.
    11. Allen, D.E. & McAleer, M.J. & Singh, A.K., 2018. "A Multi-Criteria Financial and Energy Portfolio Analysis of Hedge Fund Strategies," Econometric Institute Research Papers EI2018-26, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    12. repec:eee:ejores:v:267:y:2018:i:1:p:200-211 is not listed on IDEAS
    13. David E. Allen & Michael McAleer & Robert J. Powell & Abhay K. Singh, 2016. "Down-Side Risk Metrics as Portfolio Diversification Strategies across the Global Financial Crisis," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 9(2), pages 1-18, June.
    14. Anshul Verma & Riccardo Junior Buonocore & Tiziana di Matteo, 2017. "A cluster driven log-volatility factor model: a deepening on the source of the volatility clustering," Papers 1712.02138, arXiv.org, revised May 2018.

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