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April 3, 2026Annals of Operations Research0 citationsOpen Access

Sustainability and Financial Risk: the Green Mean-to-CVaR Efficient Frontier

VFVittoria Di FeliceGMGiacomo Morelli

Key Points

  • The study aims to quantify the trade-off between sustainability and financial performance using the Green Mean-to-CVaR frontier.
  • Analyzed the European stock market using the STOXX Europe 600 data from 03/01/2007 to 30/12/2019.
  • Developed the Green Mean-to-CVaR efficient frontier to measure sustainability impacts on portfolios.
  • Utilized environmental metrics, including the E score and greenhouse gas emissions, to assess risk-return dynamics.
  • Portfolios with higher environmental scores (lower GHG) exhibited lower CVaR and expected returns.
  • Above a certain threshold, only inefficient portfolios were found when considering green metrics.
  • Sectoral analysis showed that higher E scores corresponded to increased risk in the Energy sector.

Abstract

Abstract In light of the recent policy developments, such as the 2015 Paris Agreements , which steers financial markets towards more sustainable investments, understanding the risk-return dynamics of environmentally focused portfolios becomes crucial. This research proposes a new methodological approach to quantify the trade-off between sustainability and financial performance, the Green Mean-to-CVaR frontier. Measuring the environmental impact using well established environmental metrics, such as the E (Environmental) score and the Greenhouse gas (GHG) emissions, we explore this topic in the mean-Conditional Value at Risk (CVaR) space where we derive the green Mean-to-CVaR (MtC) efficient frontier. We focus our analysis on the European stock market, using data from the STOXX Europe 600 for the period 03/01/2007 30/12/2019. We find that portfolios with higher E score (lower GHG) have lower CVaR and lower expected return. Above a certain threshold of the green metric only inefficient portfolios are obtained. The sectoral analysis confirms the findings across all sectors except Energy, where higher E scores (lower GHG) correspond to increased risk.

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Cite This Study

Felice et al. (2026) studied this question.

synapsesocial.com/papers/69cf5e115a333a821460c3e2https://doi.org/10.1007/s10479-026-07140-x
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