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ESG-coherent risk measures for sustainable investing

Author

Listed:
  • Gabriele Torri
  • Rosella Giacometti
  • Darinka Dentcheva
  • Svetlozar T. Rachev
  • W. Brent Lindquist

Abstract

The growing interest in sustainable investing calls for an axiomatic approach to measures of risk and reward that focus not only on financial returns, but also on measures of environmental and social sustainability, i.e. environmental, social, and governance (ESG) scores. We propose definitions for ESG-coherent risk measures and ESG reward-risk ratios based on functions of bivariate random variables that are applied to financial returns and ESG scores, extending the traditional univariate measures to the ESG case. We provide examples and present an empirical analysis in which the ESG-coherent risk measures and ESG reward-risk ratios are used to rank stocks.

Suggested Citation

  • Gabriele Torri & Rosella Giacometti & Darinka Dentcheva & Svetlozar T. Rachev & W. Brent Lindquist, 2023. "ESG-coherent risk measures for sustainable investing," Papers 2309.05866, arXiv.org.
  • Handle: RePEc:arx:papers:2309.05866
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    References listed on IDEAS

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    1. Christophe Revelli & Jean-Laurent Viviani, 2015. "Financial performance of socially responsible investing (SRI): what have we learned? A meta-analysis," Post-Print halshs-01141295, HAL.
    2. repec:dau:papers:123456789/2278 is not listed on IDEAS
    3. Alfred Galichon & Ivar Ekeland & Marc Henry, 2009. "Comonotonic measures of multivariates risks," Working Papers hal-00401828, HAL.
    4. Andrzej Ruszczyński & Alexander Shapiro, 2006. "Optimization of Convex Risk Functions," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 433-452, August.
    5. Utz, Sebastian & Wimmer, Maximilian & Steuer, Ralph E., 2015. "Tri-criterion modeling for constructing more-sustainable mutual funds," European Journal of Operational Research, Elsevier, vol. 246(1), pages 331-338.
    6. Elyés Jouini & Moncef Meddeb & Nizar Touzi, 2004. "Vector-valued coherent risk measures," Finance and Stochastics, Springer, vol. 8(4), pages 531-552, November.
    7. Farinelli, Simone & Tibiletti, Luisa, 2008. "Sharpe thinking in asset ranking with one-sided measures," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1542-1547, March.
    8. Alfred Galichon & Ivar Ekeland & Marc Henry, 2009. "Comonotonic measures of multivariates risks," Working Papers hal-00401828, HAL.
    9. Andreas H. Hamel & Birgit Rudloff & Mihaela Yankova, 2012. "Set-valued average value at risk and its computation," Papers 1202.5702, arXiv.org, revised Jan 2013.
    10. repec:hal:wpspec:info:hdl:2441/5rkqqmvrn4tl22s9mc4b1h6b4 is not listed on IDEAS
    11. Pedersen, Lasse Heje & Fitzgibbons, Shaun & Pomorski, Lukasz, 2021. "Responsible investing: The ESG-efficient frontier," Journal of Financial Economics, Elsevier, vol. 142(2), pages 572-597.
    12. Joakim Sandberg & Carmen Juravle & Ted Hedesström & Ian Hamilton, 2009. "The Heterogeneity of Socially Responsible Investment," Journal of Business Ethics, Springer, vol. 87(4), pages 519-533, July.
    13. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
    14. Luluk Widyawati, 2020. "A systematic literature review of socially responsible investment and environmental social governance metrics," Business Strategy and the Environment, Wiley Blackwell, vol. 29(2), pages 619-637, February.
    15. Francesco Cesarone & Manuel Luis Martino & Alessandra Carleo, 2022. "Does ESG Impact Really Enhance Portfolio Profitability?," Sustainability, MDPI, vol. 14(4), pages 1-28, February.
    16. R. Giacometti & G. Torri & S. Paterlini, 2021. "Tail risks in large portfolio selection: penalized quantile and expectile minimum deviation models," Quantitative Finance, Taylor & Francis Journals, vol. 21(2), pages 243-261, February.
    17. Svetlozar Rachev & Sergio Ortobelli & Stoyan Stoyanov & Frank J. Fabozzi & Almira Biglova, 2008. "Desirable Properties Of An Ideal Risk Measure In Portfolio Theory," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 19-54.
    18. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    19. repec:dau:papers:123456789/353 is not listed on IDEAS
    20. Lars Hornuf & Gül Yüksel, 2022. "The Performance of Socially Responsible Investments: A Meta-Analysis," CESifo Working Paper Series 9724, CESifo.
    21. repec:hal:spmain:info:hdl:2441/5rkqqmvrn4tl22s9mc4b1h6b4 is not listed on IDEAS
    22. Marcus Ang & Jie Sun & Qiang Yao, 2018. "On the dual representation of coherent risk measures," Annals of Operations Research, Springer, vol. 262(1), pages 29-46, March.
    23. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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