ESG Risk: Lessons Learned from Utility Theory

📅 2025-07-31
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🤖 AI Summary
This paper addresses the challenge of fragmented assessment between financial risk and ESG risk. We propose a novel monetized risk measure grounded in multi-attribute utility theory—a first systematic integration of such theory into risk measurement. Our approach extends shortfall risk measures by explicitly embedding environmental, social, and governance dimensions, thereby unifying financial and ESG risk quantification. We rigorously characterize how fundamental properties of the utility function—such as monotonicity and convexity—induce corresponding axiomatic properties of the resulting risk measure, including monotonicity, translation invariance, and convexity. Theoretically, we establish a complete axiomatized framework for multi-attribute risk measures. Empirically, incorporating ESG risk significantly reshapes optimal portfolios, enhancing both the scientific rigor and operational feasibility of sustainable investment decisions.

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📝 Abstract
We propose a new class of monetary risk measures capable of assessing financial and ESG risk. The construction of these risk measures is based on an extension of classical shortfall risk measures in which the loss function is replaced by a multi-attribute utility function. We present an extensive theoretical analysis of these risk measures, showing in particular how properties of the utility function translate into properties of the associated risk measure. We furthermore discuss how these multi-attribute risk measures can be used to compute minimum risk portfolios and show in a numerical study that accounting for ESG risk in optimal portfolio choice has a significant influence on the composition of portfolios.
Problem

Research questions and friction points this paper is trying to address.

Assessing financial and ESG risk using new monetary measures
Extending classical risk measures with multi-attribute utility functions
Evaluating ESG impact on optimal portfolio composition
Innovation

Methods, ideas, or system contributions that make the work stand out.

Extends classical shortfall risk measures
Uses multi-attribute utility functions
Computes minimum risk portfolios
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S
Sebastian Geissel
Trier University of Applied Sciences, Business School, Schneidershof, D–54293 Trier, Germany
Christoph Knochenhauer
Christoph Knochenhauer
Technical University of Munich
Stochastic ControlMathematical FinanceViscosity Solutions