Implied Tail Risk and ESG Ratings

This paper explores whether the high or low ESG rating of a company is related to the level of its implied tail risk, measured on the basis of derivative data by implied skewness and implied kurtosis. Previous research suggests that the ESG rating of a company is indeed connected to some financial r...

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Main Authors: Jingyan Zhang, Jan De Spiegeleer, Wim Schoutens
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/14/1611
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author Jingyan Zhang
Jan De Spiegeleer
Wim Schoutens
author_facet Jingyan Zhang
Jan De Spiegeleer
Wim Schoutens
author_sort Jingyan Zhang
collection DOAJ
description This paper explores whether the high or low ESG rating of a company is related to the level of its implied tail risk, measured on the basis of derivative data by implied skewness and implied kurtosis. Previous research suggests that the ESG rating of a company is indeed connected to some financial risk; however, often, only volatility is used as a risk measure. We examined the relation between ESG ratings and implied volatility, and explore the relation between ESG ratings and financial risk in more depth by looking into higher implied moments accessing financial tail risk. First, we found that higher ESG rated companies have a lower implied volatility connected with them, and exhibit more negative implied skewness and higher implied kurtosis. In other words, we observed a higher negative tail risk for higher ESG rated companies. However, on a midsized company data set, we found that higher ESG rated companies both have lower implied volatility, and exhibit less negative implied skewness and lower implied kurtosis. Hence, negative tail risk is typically lower for high ESG rated companies. Our study further investigated similar effects on individual environmental (E), social (S) and governance (G) scores of the involved companies. Second, we examined whether such a kind of trend exists for different sectors. Our results indicate that the influence of ESG ratings on implied volatility exhibits a similar trend, except for the industrial, information services, and real estate sectors, while for the materials, healthcare, and communication services sectors, the influence of ESG ratings on implied skewness and implied kurtosis is less pronounced. Moreover, the results show that the ESG ratings are correlated with implied moments for companies in consumer discretionary sectors.
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spelling doaj.art-e58217acc53643f4aea99d1bc34d5cab2023-11-22T04:19:31ZengMDPI AGMathematics2227-73902021-07-01914161110.3390/math9141611Implied Tail Risk and ESG RatingsJingyan Zhang0Jan De Spiegeleer1Wim Schoutens2Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, BelgiumDepartment of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, BelgiumDepartment of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, BelgiumThis paper explores whether the high or low ESG rating of a company is related to the level of its implied tail risk, measured on the basis of derivative data by implied skewness and implied kurtosis. Previous research suggests that the ESG rating of a company is indeed connected to some financial risk; however, often, only volatility is used as a risk measure. We examined the relation between ESG ratings and implied volatility, and explore the relation between ESG ratings and financial risk in more depth by looking into higher implied moments accessing financial tail risk. First, we found that higher ESG rated companies have a lower implied volatility connected with them, and exhibit more negative implied skewness and higher implied kurtosis. In other words, we observed a higher negative tail risk for higher ESG rated companies. However, on a midsized company data set, we found that higher ESG rated companies both have lower implied volatility, and exhibit less negative implied skewness and lower implied kurtosis. Hence, negative tail risk is typically lower for high ESG rated companies. Our study further investigated similar effects on individual environmental (E), social (S) and governance (G) scores of the involved companies. Second, we examined whether such a kind of trend exists for different sectors. Our results indicate that the influence of ESG ratings on implied volatility exhibits a similar trend, except for the industrial, information services, and real estate sectors, while for the materials, healthcare, and communication services sectors, the influence of ESG ratings on implied skewness and implied kurtosis is less pronounced. Moreover, the results show that the ESG ratings are correlated with implied moments for companies in consumer discretionary sectors.https://www.mdpi.com/2227-7390/9/14/1611ESG ratingsimplied tail riskimplied moments
spellingShingle Jingyan Zhang
Jan De Spiegeleer
Wim Schoutens
Implied Tail Risk and ESG Ratings
Mathematics
ESG ratings
implied tail risk
implied moments
title Implied Tail Risk and ESG Ratings
title_full Implied Tail Risk and ESG Ratings
title_fullStr Implied Tail Risk and ESG Ratings
title_full_unstemmed Implied Tail Risk and ESG Ratings
title_short Implied Tail Risk and ESG Ratings
title_sort implied tail risk and esg ratings
topic ESG ratings
implied tail risk
implied moments
url https://www.mdpi.com/2227-7390/9/14/1611
work_keys_str_mv AT jingyanzhang impliedtailriskandesgratings
AT jandespiegeleer impliedtailriskandesgratings
AT wimschoutens impliedtailriskandesgratings