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Dynamic tracking error with shortfall control using stochastic programming

Author

Listed:
  • Diana Barro

    () (Department of Economics, University Of Venice C� Foscari)

  • Elio Canestrelli

    (Department of Economics, University Of Venice C� Foscari)

Abstract

In this contribution we propose a dynamic tracking error problem and we consider the problem of monitoring at discrete point the shortfall of the portfolio below a set of given reference levels of wealth. We formulate and solve the resulting dynamic optimization problem using stochastic programming. The resulting problem allows for a great flexibility in the combination of a tracking goal and a downside risk protection through a discrete monitoring of the shortfalls. We provide the results of a out-of-sample simulation experiments, on real data, for different portfolio configurations and different market conditions.

Suggested Citation

  • Diana Barro & Elio Canestrelli, 2012. "Dynamic tracking error with shortfall control using stochastic programming," Working Papers 2012_18, Department of Economics, University of Venice "Ca' Foscari", revised 2012.
  • Handle: RePEc:ven:wpaper:2012_18
    as

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    References listed on IDEAS

    as
    1. Domenico Cuoco & Hua He & Sergei Isaenko, 2008. "Optimal Dynamic Trading Strategies with Risk Limits," Operations Research, INFORMS, pages 358-368.
    2. Bertsimas, Dimitris & Lauprete, Geoffrey J. & Samarov, Alexander, 2004. "Shortfall as a risk measure: properties, optimization and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1353-1381, April.
    3. Diana Barro & Elio Canestrelli, 2009. "Tracking error: a multistage portfolio model," Annals of Operations Research, Springer, vol. 165(1), pages 47-66, January.
    4. Udo Ebert, 2005. "Measures of downside risk," Economics Bulletin, AccessEcon, vol. 4(16), pages 1-9.
    5. repec:ebl:ecbull:v:4:y:2005:i:16:p:1-9 is not listed on IDEAS
    6. Rudolf, Markus & Wolter, Hans-Jurgen & Zimmermann, Heinz, 1999. "A linear model for tracking error minimization," Journal of Banking & Finance, Elsevier, vol. 23(1), pages 85-103, January.
    7. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November.
    8. M. A. H. Dempster & M. Germano & E. A. Medova & M. I. Rietbergen & F. Sandrini & M. Scrowston, 2007. "Designing minimum guaranteed return funds," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 245-256.
    9. W. Michalowski & W. Ogryczak, 1998. "Extending the MAD Portfolio Optimization Model to Incorporate Downside Risk Aversion," Working Papers ir98041, International Institute for Applied Systems Analysis.
    10. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Dynamic portfolio optimization; Tracking error; Shortfall;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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