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Multivariate risk aversion utility, application to ESG investments

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  • Escobar-Anel, Marcos

Abstract

This paper uses the concept of multivariate or multi-attributive utility to attach different risk aversion levels to different sources of wealth (e.g. sectors, stocks, asset classes). In this context, we address the topic of environmental, social, and corporate governance (ESG) investments from the perspective of an investor with different risk aversion levels to green and brown stocks. We obtain closed-form solutions for the optimal allocations, value function, and wealth equivalent losses (WEL) from suboptimal choices. The numerical analysis demonstrates the significant increase, of up to 33%, in green investments when accounting for a differential in risk aversions levels, with up to 65% in WEL when using same risk-aversion levels.11We deeply thank anonymous reviewers and journal’s leadership for very interesting suggestions on relevant papers, keywords, and ideas that have enriched this work.

Suggested Citation

  • Escobar-Anel, Marcos, 2022. "Multivariate risk aversion utility, application to ESG investments," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    • Handle: RePEc:eee:ecofin:v:63:y:2022:i:c:s1062940822001280
    DOI: 10.1016/j.najef.2022.101790
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    References listed on IDEAS

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    1. Bradford Cornell, 2021. "ESG preferences, risk and return," European Financial Management, European Financial Management Association, vol. 27(1), pages 12-19, January.
    2. Pástor, Ľuboš & Stambaugh, Robert F. & Taylor, Lucian A., 2021. "Sustainable investing in equilibrium," Journal of Financial Economics, Elsevier, vol. 142(2), pages 550-571.
    3. repec:dau:papers:123456789/7341 is not listed on IDEAS
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Gasser, Stephan M. & Rammerstorfer, Margarethe & Weinmayer, Karl, 2017. "Markowitz revisited: Social portfolio engineering," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1181-1190.
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    8. Thomas E. Conine & Michael B. McDonald & Maurry Tamarkin, 2017. "Estimation of relative risk aversion across time," Applied Economics, Taylor & Francis Journals, vol. 49(21), pages 2117-2124, May.
    9. Luciano Campi & Mark Owen, 2011. "Multivariate utility maximization with proportional transaction costs," Finance and Stochastics, Springer, vol. 15(3), pages 461-499, September.
    10. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    11. Gregor Dorfleitner & Michael Krapp, 2007. "On multiattributive risk aversion: some clarifying results," Review of Managerial Science, Springer, vol. 1(1), pages 47-63, April.
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    16. Gregor Dorfleitner & Mai Nguyen, 2017. "A new approach for optimizing responsible investments dependently on the initial wealth," Journal of Asset Management, Palgrave Macmillan, vol. 18(2), pages 81-98, March.
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    Citations

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    Cited by:

    1. Marcos Escobar-Anel & Yiyao Jiao, 2023. "Unraveling the Trade-off between Sustainability and Returns: A Multivariate Utility Analysis," Papers 2307.12161, arXiv.org.
    2. Aydin Aslan & Peter N. Posch, 2022. "How Do Investors Value Sustainability? A Utility-Based Preference Optimization," Sustainability, MDPI, vol. 14(23), pages 1-15, November.
    3. Marcos Escobar-Anel & Yiyao Jiao, 2024. "Robust Portfolio Optimization with Environmental, Social, and Corporate Governance Preference," Risks, MDPI, vol. 12(2), pages 1-29, February.

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    More about this item

    Keywords

    Multiple risk-aversion levels; Multi-attributive utility; Optimal control; Expected Utility Theory; Multivariate utility; HJB equation;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth

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