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The Shapley decomposition for portfolio risk

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  • Stephane Mussard
  • Virginie Terraza

Abstract

The aim of this article is to provide an application of the Shapley value to decompose financial portfolio risk. Decomposing the sample covariance risk measure, gives us relative measures, which can be, classified securities of a portfolio according to risk scales.

Suggested Citation

  • Stephane Mussard & Virginie Terraza, 2008. "The Shapley decomposition for portfolio risk," Applied Economics Letters, Taylor & Francis Journals, vol. 15(9), pages 713-715.
    • Handle: RePEc:taf:apeclt:v:15:y:2008:i:9:p:713-715
    DOI: 10.1080/13504850600748968
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    References listed on IDEAS

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    1. F. Chantreuil & A. Trannoy, 1999. "Inequality decomposition values : the trade-off between marginality and consistency," THEMA Working Papers 99-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. C. Seidl & Patrick Moyes & A. F. Shorrocks, 2002. "Inequalities: Theory, experiments and applications," Post-Print hal-00157353, HAL.
    3. Mercedes Sastre & Alain Trannoy, 2002. "Shapley inequality decomposition by factor components: Some methodological issues," Journal of Economics, Springer, vol. 77(1), pages 51-89, December.
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    Citations

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    Cited by:

    1. James V. Hansen, 2021. "Coalition Feature Interpretation and Attribution in Algorithmic Trading Models," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 849-866, October.
    2. Benjamin R. Auer & Tobias Hiller, 2021. "Cost gap, Shapley, or nucleolus allocation: Which is the best game‐theoretic remedy for the low‐risk anomaly?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(4), pages 876-884, June.
    3. Haim Shalit, 2021. "The Shapley value decomposition of optimal portfolios," Annals of Finance, Springer, vol. 17(1), pages 1-25, March.
    4. Tobias Hiller, 2022. "Allocation of portfolio risk and outside options," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 2845-2848, October.
    5. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    6. Francesco Devicienti, 2010. "Shapley-value decompositions of changes in wage distributions: a note," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(1), pages 35-45, March.
    7. repec:ebl:ecbull:v:3:y:2007:i:25:p:1-7 is not listed on IDEAS
    8. Patrick S. Hagan & Andrew Lesniewski & Georgios E. Skoufis & Diana E. Woodward, 2021. "Portfolio risk allocation through Shapley value," Papers 2103.05453, arXiv.org.
    9. virginie terraza & stephane mussard, 2007. "New trading risk indexes: application of the shapley value in finance," Economics Bulletin, AccessEcon, vol. 3(25), pages 1-7.

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    More about this item

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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