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Computation of the marginal contribution of Sharpe ratio and other performance ratios

Author

Listed:
  • Eric Benhamou

    (MILES - Machine Intelligence and Learning Systems - LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Beatrice Guez

Abstract

Computing incremental contribution of performance ratios like Sharpe, Treynor, Calmar or Sterling ratios is of paramount importance for asset managers. Leveraging Euler's homogeneous function theorem, we are able to prove that these performance ratios are indeed a linear combination of individual modified performance ratios. This allows not only deriving a condition for a new asset to provide incremental performance for the portfolio but also to identify the key drivers of these performance ratios. We provide various numerical examples of this performance ratio decomposition.

Suggested Citation

  • Eric Benhamou & Beatrice Guez, 2021. "Computation of the marginal contribution of Sharpe ratio and other performance ratios," Working Papers hal-03189299, HAL.
    • Handle: RePEc:hal:wpaper:hal-03189299
    Note: View the original document on HAL open archive server: https://hal.science/hal-03189299v2
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    References listed on IDEAS

    as
    1. Eric Benhamou & David Saltiel & Beatrice Guez & Nicolas Paris, 2019. "Testing Sharpe ratio: luck or skill?," Papers 1905.08042, arXiv.org, revised May 2019.
    2. Eric Benhamou, 2018. "Connecting Sharpe ratio and Student t-statistic, and beyond," Papers 1808.04233, arXiv.org, revised May 2019.
    3. Serge Darolles & Christian Gouriéroux & Emmanuelle Jay, 2012. "Robust Portfolio Allocation with Systematic Risk Contribution Restrictions," Working Papers 2012-35, Center for Research in Economics and Statistics.
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    5. Philippe Bertrand, 2009. "Risk-adjusted performance attribution and portfolio optimisations under tracking-error constraints," Journal of Asset Management, Palgrave Macmillan, vol. 10(2), pages 75-88, June.
    6. Nielsen, Lars Tyge & Vassalou, Maria, 2004. "Sharpe Ratios and Alphas in Continuous Time," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(1), pages 103-114, March.
    7. DeMiguel, Victor & Plyakha, Yuliya & Uppal, Raman & Vilkov, Grigory, 2013. "Improving Portfolio Selection Using Option-Implied Volatility and Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(6), pages 1813-1845, December.
    8. Eric Benhamou, 2018. "Trend without hiccups: a Kalman filter approach," Papers 1808.03297, arXiv.org.
    9. Eugene A. Pilotte & Frederic P. Sterbenz, 2006. "Sharpe and Treynor Ratios on Treasury Bonds," The Journal of Business, University of Chicago Press, vol. 79(1), pages 149-180, January.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    portfolio analysis; recovery and incremental Sharpe ratio; Treynor; Sharpe; Marginal contribution;
    All these keywords.

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