Contents lists available at ScienceDirect Journal of Financial Stability journal homepage: www.elsevier.com/locate/jfstabil What greenium matters in the stock market? The role of greenhouse gas emissions and environmental disclosures☆ Lucia Alessia,b,⁎ , Elisa Ossolaa , Roberto Panzicaa a European Commission, Joint Research Centre, Italy b CefES − Center for European Studies (Universitá degli Studi di Milano-Bicocca), Italy a r t i c l e i n f o Article history: Received 4 March 2019 Received in revised form 2 November 2020 Accepted 18 November 2020 Available online 31 March 2021 JEL classification: G01 G11 G12 Q01 Keywords: Climate risk Environmental disclosure Factor models Asset pricing Stress test a b s t r a c t This study provides evidence on the existence of a negative greenium, i.e. a risk premium related to the greenness of a firm, based on European individual stock returns. We define a priced ‘greenness and transparency’ factor based on companies’ greenhouse gas emissions and the quality of their environmental disclosures, and show that what is priced by the market is the combination of environmental performance and environmental transparency. Based on this factor, we offer a tool to assess the exposure of a portfolio to the risk associated with the low-carbon transition, and hedge against it. We estimate that in a stressed scenario where greener and more transparent firms very much outperform brown stocks, there would be losses at the global level, including for European large banks, should investors fail to price climatetransition risks. These results call for the introduction of climate stress tests for systemically important financial institutions. © 2021 The Authors. Published by Elsevier B.V. CC_BY_4.0 1. Introduction Climate change is a fact, but we are not sure what the economic costs associated with this change will be.1 By the same token, it is difficult to estimate what the economic benefits of doing something about it would be. In particular, it would be hard to pin down the net present value of activities aimed at climate change adaptation and mitigation, as well as those directed to broader environmental objectives such as the sustainable use and protection of water and marine resources, the transition to a circular economy, waste prevention and recycling, pollution prevention and control, and the protection of healthy ecosystems.2 At the same time, the consequences of a transition to a low-carbon, resource-efficient and circular economy, or lack thereof, are also largely uncertain. Hence, these issues have to be addressed as aspects of long-run risk. The contribution of this paper is to measure the added value of greener economic activities in terms of market excess returns. To do so, we first show that indeed, the European market prices climate risk, in the context of a standard asset pricing model. However, we show that not only environmental performance matter, but a combination of greenness and environmental transparency. Second, we estimate that the market associates a negative risk premium, i.e. a greenium, to more environmentally friendly and transparent firms. We argue that to identify the market price of climate risk, or environmental risk more generally, one should broaden the analysis https://doi.org/10.1016/j.jfs.2021.100869 1572-3089/© 2021 The Authors. Published by Elsevier B.V. CC_BY_4.0 ☆ Disclaimer: The content of this article does not necessarily reflect the official opinion of the European Commission. Responsibility for the information and views expressed therein lies entirely with the authors. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. We thank the co-editors and two anonymous referees for constructive criticism and numerous suggestions which have lead to substantial improvements over the previous versions. We thank the authors of Battiston et al. (2017) for providing us with their data, which we use for the climate stress test. We are grateful to Ivan Faiella for his comments on the construction of the greenness and transparency indicator. We thank participants at a number of conferences, including CefES, IRMC, Finance for Sustainability, CREDIT, EAEPE, as well as at meetings and workshops at the European Central Bank, and seminars at the Universidad Autonoma de Madrid, at the University of Pavia and at the EC Joint Research Centre, for useful suggestions. ]]]] ]]]]]] ⁎ Corresponding author at: European Commission, Joint Research Centre, Italy. E-mail address: lucia.alessi@ec.europa.eu (L. Alessi). 1 On the uncertainty on the rate of increase in average temperatures in the longmedium horizon, and on the effects of climate change, see e.g. Pindyck (2013). 2 These objectives are listed in the 2018 European Commission Action plan on financing sustainable growth, which sets out an EU strategy for sustainable finance. Journal of Financial Stability 54 (2021) 100869 to considering other dimensions than firms’ actual environmental performance. In particular, recent papers suggest that green bond issuers’ trustworthiness as well as the existence of a company climate strategy do matter for investors.3 Hence, we estimate the market price of climate risk based on a priced factor which considers both environmental performance and environmental transparency. In particular, we first construct portfolios characterized by a different shade of green and a different degree of environmental transparency. This is based on firm-level information on greenhouse gas (GHG) or CO2 emissions, combined with a measure of the completeness of firms’ environmental disclosures, to yield a synthetic greenness and transparency index for each stock. Companies which disclose a lower emission intensity, and are very transparent, attain the highest scores and are included in a greener and more transparent portfolio. The most straightforward example of greener companies would be those with a large share of their turnover in green economic sectors, e.g. renewable energy. Conversely, companies which do not disclose information on their environmental performance are labeled as non-transparent. Among these nontransparent companies, those active in carbon-intensive sectors, e.g. companies operating coal power plants, are included in a brown portfolio. The greenness and transparency factor is constructed based on 942 companies listed on the STOXX Europe Total Market Index. By relying on company-level disclosures and factoring-in their transparency, we try to tackle the issue of greenwashing, which is likely to be the reason why the literature has so far failed to find a consensus on the existence of a priced green factor. Indeed, looking at the actual composition of the portfolios of publicly traded investment funds which label themselves as ‘green’ or ‘sustainable’, it turns out that many funds are clearly less environmentally friendly than their name would suggest. For example, a fund might indeed limit its exposure to carbon-intensive sectors, but at the same time mainly invest in e.g. financial stocks. Banks, insurers and other financial institutions are admittedly directly responsible for a very small fraction of GHG emissions, but financial institutions are probably not what comes to mind when thinking of companies that are at the forefront of efforts to reduce emissions. At the level of the individual company, there could be a tendency to disclose only partial information, emphasizing the environmental dimensions where the firm performs best and neglecting those where the firm does not as well. For example, a car manufacturer may report its scope 1 GHG emissions, i.e. emissions from sources that it owns or controls, but could have an incentive not to disclose its scope 3 emissions, which include emissions resulting from the use of the vehicles it produces and sells. By considering the completeness of the relevant information that firms disclose, we deal with this type of greenwashing. At the same time, however, one should be careful not to take extreme views when defining ‘green’ stocks. As a matter of fact, portfolio diversification is crucial for asset managers, and concentrating the exposure on a small set of pure green players is not a viable option. Our society will still need e.g. steel and cement for quite a while, and companies’ low-carbon transition is a much needed but gradual process. For all these reasons, a sensible approach would be to broaden the scope of the definition of ‘green’ beyond pure players to also include firms that meet the highest level of energy efficiency and the lowest CO2 emissions within the relevant sector. By taking this approach, a steel manufacturer which also uses scrap steel is greener than one that does not. By the same token, an energy company that reduces its reliance on fossil fuels though not having an entirely renewable energy mix - is greener than one that is not reducing its carbon footprint. This is the approach taken by several providers of environmental ratings, which assess the sustainability of firms relative to their peers, and also the one we take in this paper. We show that in the context of a standard asset pricing model, the portfolios we build based on firms’ environmental performance and disclosures are associated with a statistically significant intercept, suggesting the existence of an omitted factor. Based on this evidence, we propose to include a greenness and transparency factor, which we construct based on a long-short strategy involving the greener and more transparent portfolio and the brown portfolio. We find that the greenium, i.e. the risk premium associated with this greenness and transparency factor, is negative and highly statistically significant. This means that investors accept a lower remuneration for their investments, ceteris paribus, insofar as these investments are linked to greener and more transparent firms. We interpret this as evidence of climate risk being viewed as significant, with the market seeing value in investing in greener assets as a hedging strategy towards worse environmental outcomes. Indeed, in a scenario of heightened risks resulting from climate change, there would be a stronger push towards more environmentally friendly activities, with more decisive political action likely to be taken to promote sustainable growth. Hence, companies active in green sectors and more transparent on their environmental performance would operate in a more favorable environment, possibly supported by incentives, e.g. fiscal or of other nature. At the same time, the likelihood would increase that some assets, e.g. coal, would become stranded. In this context, forward-looking investors who base their portfolio allocation on a broader information set than past returns, invest in greener assets already today. The evidence we provide on the existence of a greenium has clear financial stability implications. Indeed, we show that the European market as a whole does price climate risk. In this context, if an investor does not factor in climate risk in the construction of her portfolio, she is in fact pricing her holdings based on a misspecified model, where the greenness and environmental transparency factor is omitted. Should this mispricing affect the assets held by systemically important financial institutions (SIFIs) such as large banks, insurers and pension funds, there could be consequences in terms of systemic risk. In particular, asset returns on their holdings could be negatively affected by climate change via two main channels. First, in a longer horizon perspective, more frequent and severe natural catastrophes stemming from climate change (e.g. typhoons and floods) could negatively affect returns on assets linked to particularly vulnerable economic activities.4 These are the so-called physical risks related to climate change, that we do not tackle in this paper directly. However, it has been shown that rising temperatures have strong adverse effects on asset valuations, as well as on key macroeconomic aggregates and productivity (see Donadelli et al. (2017)). Second, in a medium-term perspective, the implementation of sustainable finance policies will imply higher costs for firms with higher emissions, causing a generalized drop in the dividend that brown firms will be able to pay to their shareholders. In parallel, carbonintensive assets will increasingly become ‘stranded’ (see Campiglio et al. (2017)). This is the so-called transition risk. These two channels characterize a climate risk factor that investors should price. Given the lack of data on the exposure of individual companies to physical risks related to climate change, in this analysis we focus on transition risks, i.e. the potential impacts of a shift to a lower carbonfootprint economy on firms active in climate-policy-relevant sectors. 3 Looking at the green bond market, Larcker and Watts (2020) examine the yield differential between same-issuer green and conventional bonds and find no evidence of a greenium. However, Fatica et al., (2021) document the existence of a greenium when green bonds are issued by more credible issuers, i.e. supranational institutions, as well as a positive effect of external review and repeated green bond issuance. Looking at stocks, Ramelli et al. (2019) show that following Trump’s election, climateresponsible firms actually received a premium. 4 See Daniel et al. (2016). L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 2 Based on our model, we estimate that in an extreme but plausible scenario where greener and more transparent companies outperform brown companies, all institutional sectors at the global level, including e.g. governments, non-financial institutions and financial corporations, as well as all European SIFIs, would be hit by losses. By halving their exposure to carbon-intensive sectors and reallocating their investments towards greener assets, investors could somewhat reduce the loss. However, they could only avoid losing money if they would reallocate their investments towards greener and more transparent firms. The magnitude of the expected losses we estimate is admittedly not breathtaking. Still, we show that no one is in a safe place when it comes to climate risk, as the consequences of brown asset mispricing would be widespread. Moreover, our analysis is limited to equity holdings, that for some investors are not as relevant as other types of exposures. In a stressed scenario, however, losses would almost certainly be recorded also on the bond portfolio and notably, on banks’ loan exposure. Finally, we use a simple model to compute losses, based on the marginal expected shortfall. This approach does not factor in losses resulting from second-round effects, like fire sales, which could magnify first-round losses. Taking all this into account, we conclude that a climate or climate-policy shock could have serious implications in terms of financial stability, especially if coupled with shocks of other nature. Hence, we argue that a climate stress test is warranted for systemically important institutions to monitor their resilience to climate change. The greenness and transparency factor we construct could indeed be used by investors, to hedge against climate risk, and by supervisors, to measure SIFIs exposure to this risk. Notice that looking ahead, we can only expect greater policy pressure to reducing carbon emissions and moving to a sustainable development path.5 The paper is structured as follows. In the next section, we provide an overview of the relevant literature. In Section 3, we present our synthetic greenness and transparency indicator at the level of the individual company. Section 4 outlines the asset pricing theoretical framework. In Section 5, we present the results of the empirical application. First, we focus on portfolios by estimating the standard asset pricing models and defining the greenness and transparency factor. Then, we estimate our proposed model on individual stocks. In Section 6 we carry out a battery of robustness checks. Section 7 tests the performance of the equity portfolios of global institutional sectors and European SIFIs in a climate-stressed scenario. Section 8 concludes. 2. Related literature This paper stands at the crossroad of sustainable finance, asset pricing and financial stability. The sustainable finance literature has so far mostly focused on corporate performance, starting from the seminal work by Bragdon and Marlin (1972). They asked the fundamental question, whether there would be a reward for a company’s virtue. Trying to answer this question, Porter (1991), Gore (1993), and Porter and van der Linde (1995) argue that improving a company environmental performance can lead to a better economic or financial performance, not necessarily accompanied by an increase in costs. Ambec and Lanoie (2008) review several empirical works showing that improvements in the environmental performance of a firm tend to be associated with improvements in its economic or financial performance, owing to potential revenue increases and/or cost cuts. More recently, Hoepner et al. (2018) show that engagement on sustainability issues can benefit shareholders’ by reducing firms’ downside risks. Despite increasingly available evidence on the performance of green or sustainable corporates, however, no consensus has yet been reached in the asset pricing literature about the performance of green assets, or on environmental risk being a priced macro factor. Evidence based on a large number of studies on the performance of sustainable investment funds compared with conventional peers (e.g. Statman, (2000); Renneboog et al. (2007); Seitz, (2010)) is mixed. For example, Hartzmark and Sussman (2019) find that sustainability is viewed as positively predicting future performance; however, they do not find evidence of outperformance of ‘high sustainability’ investment funds vs ‘low sustainability’ ones. Trinks et al. (2018) show that divesting from fossil fuels does not impair portfolio performance. Bernardini et al. (2019) focus on European electric utilities and show that there was a significant low-carbon premium during the years in which the decarbonization process accelerated. Moreover, they show that a portfolio strategy focused on low-carbon companies would have delivered higher returns after 2012. On the contrary, Bolton and Kacperczyk (2020) find that stocks of companies with higher CO2 emission intensity earn higher returns. Other analyses based on publicly traded environmental portfolios find that green stocks are, on average, underperforming the market. This finding would indicate that investors are willing to earn comparatively less on these assets because they are hedging an environmental long-run risk. Finally, recent papers attempt to build climate risk hedging portfolios (see Engle et al. (2020), Choi et al. (2020), Hong et al. (2019), Alok et al. (2020), Goergen et al. (2019), Monasterolo and De Angelis (2020)); however, none of these works goes all the way to quantifying the associated risk premium. Finally, the financial stability literature has started to put forward the idea of ‘climate stress tests’ on the exposures of financial institutions (see Battiston et al. (2017) and Battiston and Monasterolo (2018)), as well as to develop climate stress-test methodologies for e.g. loan portfolios (see Monasterolo et al. (2018)). Central Banks and international institutions, starting with the seminal speech by Carney (2015), have also emphasized on different occasions that climate change could affect systemic risk. In particular, Gros et al. (2016) distinguishes between a benign scenario, with a gradual transition to a low-carbon economy, and an adverse scenario, where the transition occurs more abruptly. In both cases, there could be financial stability consequences: with a too slow transition, the Paris Agreement goal would be missed and the catastrophic consequences of climate change would become unavoidable.6 A too quick transition, on the other hand, would imply a sudden repricing of brown assets. We provide evidence that these concerns are shared by the market. 3. Synthetic greenness and transparency indicator Different indicators are available to assess a company’s commitment to the environment. However, identifying synthetic proxies for firms’ environmental performance is not obvious and no consensus has yet been reached in the literature on this issue (see Oikonomou et al. (2012)). The main source of information in this respect are firms’ environmental disclosures, which are typically published by companies in their annual reports, or in separate Corporate Social Responsibility or Sustainability reports, as well as in dedicated ESG releases or Corporate Governance reports. Based on these disclosures, investors distinguish companies that are doing green business from firms that are not, or that are not transparent in 5 Andersson et al. (2016) shows that divestment in higher emission stocks entails a cost, which investors are more likely to bear the stronger the perception of a serious commitment on the side of policymakers towards fighting climate change. 6 The objective of the Paris Agreement, signed in 2015, is to keep a global temperature rise this century well below 2 degrees Celsius above pre-industrial levels and to pursue efforts to limit the temperature increase even further to 1.5 degrees Celsius. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 3 this respect. However, a single indicator might not be sufficient to ensure a careful assessment of a company’s environmental performance. Hence, we look at both of the following two dimensions: (i) environmental transparency, related to the quality of firms’ environmental disclosures, and (ii) GHG emissions. As a proxy for the environmental transparency of a company we use the Bloomberg Environmental disclosure score, which we refer to as E score.7 This is an index quantifying the completeness of a firm’s disclosure on its impact on the environment. The E score embraces several environmental aspects of a firm’s business. In particular, it looks at how transparent a company is with respect to its carbon emissions, air and water pollution, its commitment to the protection of biodiversity, and its waste management, among others. The weighted E score is normalized to range from zero for companies that do not disclose environmental data to 100 for those which disclose detailed information for each pillar. The score is also tailored for industry sectors, and each component is weighted based on its importance. In particular, GHG emission disclosure is attached the highest weight. We use the E score as a measure of the transparency of a firm with respect to its environmental sustainability commitment, and assume that higher commitment is associated with higher transparency. In other words, based on the E score, we make a first selection among firms that are transparent, at least to some extent, about their environmental performance, and firms that are not. We do not claim that firms that do not disclose information on environmental issues are necessarily ecologically destructive. However, we find it legitimate to label them as non-green, as their environmental commitment appears weaker compared to firms that do disclose (quantitative) information on this pillar. Moreover, Marquis et al. (2016) show that more environmentally friendly firms tend to disclose more because they know that their environmental performance is generally better than the one of their peers, while more environmentally damaging firms are indeed less likely to engage in non-mandatory disclosure, in particular in those countries where they are more exposed to scrutiny and norms. To build a comprehensive index of a company’s environmental performance, we combine this transparency measure with quantitative disclosure on emissions. In particular, we consider the total GHG emission intensity, i.e. the total amount on GHG emissions normalized by revenues. If this is not available, we take the total carbon dioxide (CO2) emitted, weighted by revenues. The synthetic greenness and transparency indicator Gi,y of company i at year y is defined as the weighted average of the two components, as follows: = +G K E(1 ) , with [0, 1],i y i y i y, , , (1) where Ki,y is the inverse of the ranking of firm i in term of emission intensity, and Ei,y is the ranking of firm i in term of E score.8 The parameter γ controls for the relative importance of the two components of the index. We set γ = 0.5 as benchmark case, and show results for γ = 0.2 and γ = 0.8 as robustness checks in Section 6.9 More transparent companies, for a given level of intensity of GHG or CO2 emissions, are associated with larger values of the indicator Gi,y. Firms that attain a lower emission intensity, for a given level of transparency, are also associated with larger values of Gi,y. Fig. 1 shows the number of companies in our sample which did some environmental disclosure, from 2005 to 2017 (yellow bar). The figure also reports the number of firms that disclosed their emission intensity in a given year (gray bar). The number of companies reporting on their environmental performance has exhibited an upward trend in the last ten years, reaching around 700 EUROSTOXX companies in 2017, i.e. more than half of the sample. The indicators we use to build the synthetic greenness and transparency indicator have some limitations. First, the analysis provided in Section 5 includes data from 2005, while the Bloomberg ESG application was launched only in 2009. This potentially introduces look-ahead bias (see, e.g., Derwall et al. (2005)). However, this bias is mitigated by the availability of firms’ environmental disclosures, including on GHG emissions, also prior to 2009. In other words, market participants could start using the Bloomberg E score as such only as of 2009, but the information this index is based on was already available to the market.10 A second issue relates to the self-reported nature of GHG emissions, as well as of other environmental disclosures. As a matter of fact, the EU Non-Financial Reporting Directive (NFRD) only requires auditors to verify the publication of non-financial disclosures by relevant firms, but there are no assessment and verification requirements on the content of non-financial disclosures.11 Based on this, we should emphasize that those firms we identify as greener based on their environmental disclosures may actually be less green than they claim. Still, our asset pricing analysis should not be affected by this problem, insofar as investors base their decisions only on publicly available information as we do. Related to the issue of self-reporting is that of self-selection, due to the fact that unless firms are subject to the NFRD, they are free to choose whether to disclose environmental information. Those that are subject to the NFRD, can choose what to disclose in particular. Typically, self-selection may introduce a bias in the analysis. However, in our case self-selection should work in the right direction, as greener firms may have a natural incentive to disclose more as they have less to hide, and in our framework, firms that are characterized by a lower emission intensity and better environmental disclosures are correctly identified as greener and more transparent. At the same time, more environmentally damaging firms may also have an incentive to do voluntary disclosure, as they are subject to greater external pressure (see Marquis et al. (2016)). While it’s true that in our framework these firms are treated as transparent, at least to some extent, they will rank very low based on their emission intensity if they are in fact engaged into highly polluting activities. Still, we miss information on those firms that do not disclose. Finally, ESG ratings may differ quite substantially across different data providers, as shown by a growing stream of empirical literature, including, among others, Chatterji et al. (2016), Escrig-Olmedo et al. (2019), and Berg et al. (2020). This latter paper, for example, shows that there is much more disagreement among raters on environmental ratings compared to credit ratings, but still less compared to social and governance ratings. To partly account for the limited reliability of environmental ratings and scores, we use the E score in combination with quantitative data on carbon emissions. We also show that using only one or the other component of the greenness and transparency indicator does not yield meaningful results (see Section 6). Finally, among non-transparent firms, we further select a subsample that we label ‘brown’. These are companies which are mainly active in sectors characterized by a comparatively higher level of carbon emissions. Information on sectoral emissions in Europe is 7 MSCI, RobecoSAM, Sustainalytics and Asset4 also provide E scores based on different methodologies. 8 The greenness and transparency indicator Gi,y takes only positive values with a theoretical maximum equal to N, where N is the number of firms with an E-score attached at year y. The empirical maximum is 611.5, reached in 2016. 9 Figs. 2 and 3 in the Appendix plot the greenness and transparency indicator, as well as its components, for two representative companies. 10 Performing the analysis from January 2010 to August 2018 yields empirical results in line with the ones provided in Section 5. 11 See Directive 2014/95/EU. On this point, Short and Toffel (2008) document that firms tend to disclose more when they are immune from prosecution for self-disclosed violations. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 4 provided by Eurostat, at the NACE-2 digit level.12 Table 11 in the Appendix lists the economic sectors responsible for the largest amount of carbon emissions in the EU. Overall, these sectors account for 85% of the total GHG emissions in the EU over the 2008–2017 period. Table 12 in the Appendix lists the companies that are included in the brown portfolio in 2017. 4. Linear factor model We assume an approximate factor structure for excess returns combined with the absence of arbitrage opportunities to obtain asset pricing restrictions. As the greenness and transparency indicator defined in Eq. (1) is only available for a relatively short sample, we opt for a time-invariant model, which assumes that the exposition of an asset i to each observable factor does not evolve over time. We acknowledge that a model that accounts for time variation in parameters and hence in risk premia would be best suited in this context, owing to the fact that awareness on climate issues has increased over time. However, a time-varying model for the excess returns could only be estimated on a much longer time series and a much larger cross-section than ours. Indeed, it would imply introducing functional specifications for the coefficients, which would result in an incidental parameter problem. Let us define the excess return on asset i = 1, . . . , n at time t = 1, 2, . . . T as Ri,t = ri,t−rf,t, where ri,t is the log-return and rf,t is the risk-free return. We assume that the excess return Ri,t satisfies the following linear factor model: = + + = R a b f ,i t i k K i k t k i t, 1 , , , (2) where ft,k is the k-th observable factor, with k = 1, . . . , K. The error term εi,t is s.t. =E[ ] 0i t t, 1F , and =Cov f[ , ] 0i t t t, 1F , where t 1F is the lagged information set. The approximate factor structure holds for the variance-covariance of the error terms, i.e. = =Cov[ [ , ]]t n i t j t t i j n, , , , 1 , 1,...,F with bounded largest eigenvalue (see, e.g., Chamberlain and Rothschild (1983)). The following parameter restriction holds.13 = = a b ,i k K i k k 1 , (3) where νk is a parameter defined for each k-th factor. The asset pricing restriction in Eq. (3) can be rewritten as the usual linear relation between expected excess returns and risk premia: = = E R b[ ] .i t k K i k k, 1 , (4) Based on Eqs. (3) and (4), the time-invariant risk premium associated to each k-th factor is the following: = +E f[ ] .k t k k, (5) From Eq. (5), the risk premium λk is the sum of the expected return on the factor, which can be estimated as its first moment, plus the parameter νk, defined in the asset pricing restriction (3). Risk premia measure how much investors are willing to pay to hedge the systematic risk captured by the observable factors. When the factors are asset returns themselves (i.e. factors are tradable) and are assumed to be priced by the same model in (2), the risk premia are equal to the factor means (see, e.g., Jagannathan and Wang (2002)). However, if factors are non tradable, the parameter νk is non zero. Following Gagliardini et al. (2016), we do not assume a priori that the factors ft,k are tradable. Hence, we allow for the existence of market imperfections, such as transactions costs due to rebalancing and short selling, which are captured by ν (see, e.g., Cremers et al. (2012)). Our baseline factor models are summarized in the table below. Model Reference Abbreviation Factors K Four-factor model Carhart (1997) CAR fm,t, fsmb,t, fhml,t, fmom,t 4 Three-factor model Fama and French (1993) 3FF fm,t, fsmb,t, fhml,t 3 Capital Asset Pricing Model Sharpe (1964); Lintner (1965) CAPM fm,t 1 The factors that are included in the models are the following: (1) fm,t is the market factor, defined as the excess return on the European value-weighted market portfolio over the risk free rate; (2) fsmb,t is the size factor, defined as the average return on small caps minus the average return on big caps; (3) fhml,t is the book-to-market factor, Fig. 1. Total number of companies for which E score (yellow bar) and emission intensity (gray bar) are available. 12 Source: https://ec.europa.eu/eurostat/data/database. 13 We refer to Gagliardini et al. (2016) for theoretical results and proofs. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 5 defined as the average return on the value portfolio (i.e. stocks that have market value that is small relative to the book value) minus the average return on the growth portfolio; (4) fmom,t is the momentum factor, defined as the average of the returns for the winner portfolio, based on past returns, minus the average of the returns for the loser portfolio. Fama and French (2015) propose a five-factor model including the three Fama-French factors plus profitability and investment factors. However, we do not consider the five-factor model as four factors are enough to explain excess returns in a time-invariant specification, as shown by Gagliardini et al. (2019). By analogy with the fm,t factor, which is constructed based on the T-bill, we proxy the risk free rate with the 30-day T-bill beginning-of-month yield. The time series of European factors and the risk free rate are available on Kenneth French’s website. 5. Empirical analysis In this section, we first compare greener and more transparent portfolio and the brown portfolio based on the models introduced in the previous section. Then, we propose an observable greenness and transparency factor defined as the difference between the returns on the greener and more transparent portfolio and those on the brown portfolio. Finally, we estimate the greenium, i.e. the risk premium associated to the greenness and transparency factor, using a set of European individual stocks. Our sample spans from January 2006 to August 2018, covering all individual stocks included in the STOXX Europe Total Market Index (TMI) on August 2018.14 The STOXX Europe TMI covers approximately 95% of the free float market capitalization across 17 European countries.15 In principle, we could estimate our model on all 20 K European listed firms. However, enlarging the sample would only marginally increase its coverage in terms of market capitalization, while it may jeopardize the results owing to the quality of the information that we would feed into the model. Indeed, the reliability of the data we use for our application crucially depends on the quality of environmental disclosures of European firms. On this matter, the NFRD imposes mandatory disclosures only on larger firms (with more than 500 employees). To be on the safe side, we construct our greenness and transparency factor based on a sample which is more reliable in terms of data quality, insofar as it is based on a market index, and still representative of the market as a whole. We present an application on a much larger sample in Section 6. As in Fama and French (2008), we exclude financial firms (i.e. companies classified in sectors with NACE code K or L). The final dataset comprises n = 942 stocks. Stock returns and stock market capitalization data are sourced from Bloomberg. The panel is unbalanced, i.e. asset returns are not available for all firms at all dates. To account for publication lags, in each given year we use environmental disclosures for the previous reference year. 5.1. Portfolio analysis and the greenness and transparency factor As described in Section 3, we distinguish between transparent and non-transparent companies. The former belong to set T while the latter belong to set cT . At each month t, we define the returns on the transparent and non-transparent portfolios, i.e. r˜t and r˜t c , respectively, as follows: = =r w r r w r˜ , and ˜ ,t i i i t t c i i i t, , cT T where the weight is defined as =w MC MCi i t t i t, , , with MCi,t being the market capitalization of stock i at month t. Focussing on transparent firms, we study the returns on different portfolios characterized by different shades of green and degrees of transparency. In particular, we build portfolios of returns r˜t q corresponding to the quintiles q = 1, . . . , 5 of the distribution of the greenness and transparency indicator considering only firms belonging to T .16 The portfolio built on the fifth quintile includes top-ranked firms in terms of environmental performance and disclosures and is labeled ‘greener and more transparent’ portfolio. The returns on this portfolio are indicated as r˜t g .17 Focussing on non-transparent firms, we build the brown portfolio by including companies in cT which are active in one or more of the industries characterized by the highest emissions, as described in Section 3. The returns on this portfolio are indicated as r˜t b . Table 14 in the Appendix reports descriptive statistics for firms included in portfolios characterized by various shades of green and transparency. It shows that the various portfolios are comparable in terms of average size of the companies and firms’ leverage, while firms in the non-transparent and brown portfolio tend to have a slightly better RoA compared to greener and more transparent firms. Table 1 reports descriptive statistics for the returns on various portfolios, namely the one including all transparent firms R˜, the greener and more transparent portfolio R˜g , the portfolio including all non-transparent firms R˜c , and the brown portfolio R˜b . With respect to the relative performance of the various types of firms, and looking at the mean return, the non-transparent portfolio has outperformed the others, followed by the brown and the transparent. A sounder way to assess the performance of a portfolio is the Sharpe ratio, which relates the mean performance to the standard deviation of the returns on a portfolio. In terms of Sharpe ratio, the non-transparent portfolio still outperforms the others, which have a similarly better performance than the market. Neither the mean return nor the Sharpe ratio are monotone in greenness and transparency, which is explained by the fact that the environmental characterization of a portfolio is only one of the determinants of its performance (see below). Finally, the distribution of returns for all the portfolios is characterized by excess kurtosis and negative skewness. Taking a closer look at transparent firms, Table 15 in the Appendix reports descriptive statistics for quintile portfolios 1–5, with portfolio R˜5 being the same as portfolio R˜g , i.e. the top green and transparent portfolio, while portfolio R˜1 includes comparatively higher emitting and less transparent firms, among those that do some environmental disclosure. Also in this case, the average return decreases as the level of the greenness and transparency indicator increases, though not monotonically (see Ciciretti et al. (2020) for a similar result based on an ESG characterization of firms). The same result holds when looking at the Sharpe ratio. We investigate the drivers of the excess returns for the portfolios described above by considering the reference models described in 14 This allows us to avoid survivor bias in the data. 15 These are Austria, Belgium, Czech Republic, Denmark, Finland, France, Germany, Ireland, Italy, Luxembourg, the Netherlands, Norway, Portugal, Spain, Sweden, Switzerland, and the United Kingdom. 16 In the asset pricing literature there is no univocal choice on which percentiles of the distribution one should use for the construction of the relevant portfolios. For example, Ang et al. (2006) use quintiles, Baker and Wurgler (2006) use deciles, and Ahern (2013) use terciles. In general, the choice of the relevant percentiles is the result of a trade-off between the need to maximize heterogeneity between the two portfolios, and the need to ensure a large enough portfolio size. In our case, the top decile selects only a small number of stocks (as low as 13 in 2005), while terciles fail to identify the top firms in terms of environmental performance and transparency. Robustness checks using deciles and terciles are presented in Table 13 in the Appendix. 17 Building portfolios based on the percentiles of the distribution of some relevant firm characteristic is standard in the asset pricing literature. It should be emphasized, however, that this is a relative approach to the classification of firms. In particular, a firm may cease to be included in the ‘greenest and more transparent’ portfolio if other firms reduce their emission intensity or improve their environmental disclosures, or if greener and/or more transparent firms are included in the sample, even if its environmental performance and transparency are unchanged in absolute terms. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 6 Section 4. In particular, Table 2 reports the estimated factor loadings for the Cahart model (CAR), the three-factor Fama-French model (3FF), and the CAPM. Results are reported for the various portfolios (see also Table 16 in the Appendix). Overall, results are in line with the literature with respect to the market, size, value, and momentum factors, indicating that the portfolios we analyze are rather standard with respect to these dimensions. In particular, the estimated factor loading for the market factor bˆm is positive and significant across all models and portfolios. However, for the transparent as well as for the greener and more transparent portfolios, the exposition to the market factor is lower compared to the non-transparent and brown portfolios. This means that more transparent and greener firms tend to be less correlated with the market compared to more opaque and browner firms. The performance of the various portfolios can also be explained by the different loadings on the other factors. In particular, the exposition with respect to the size factor, bˆsmb, enters with a negative sign for the transparent and greener and more transparent portfolios, on the one hand, and a positive sign for the non-transparent and brown portfolios, on the other hand. This suggests that greener and transparent firms correlate more with bigger firms, while non-transparent and brown firms correlate more with smaller firms. Indeed, based on Table 14 in the Appendix, firms in the greener and more transparent portfolio exhibit a slightly larger mean size as measured by total assets. As for the value factor bˆhml, the estimated loading is always negative and significant, except for the brown portfolio for which it is negative but non significant. Negative loadings on the value factor might mean that the portfolios include a comparatively larger share of firms with a lower book-tomarket value. Considering the Carhart model, the coefficient on the momentum factor is not significant, except for the transparent portfolio. Looking at the explanatory power of the various models with respect to the different portfolios, the adjusted R-squared is lower for the brown portfolio based on all the models. Finally, the intercept is positive and significant for all portfolios and models, suggesting the existence of an omitted factor. We define the greenness and transparency factor as the difference between the monthly returns on the greener and more transparent portfolio and those of the brown portfolio. Formally: =f r r˜ ˜ .g t t g t b , (6) Table 3 reports the descriptive statistics of the Fama-French observable factors, the momentum and the greenness and transparency factor. The table includes also the cross-correlation structure among the factors. The greenness and transparency factor is comparable to the other observable factors in terms of mean, standard deviation, kurtosis and skewness. It is also generally only mildly correlated with the other factors. 5.2. Asset pricing analysis In this section we investigate whether the greenness and transparency factor defined in Eq. (6) affects the cross-section of European stock returns. Further, we test whether investors accept lower (higher) compensation for holding environmentally friendly stocks by searching for a negative (positive) risk premium, i.e. a greenium. The excess return Ri,t follows the model in Eqs. (2) and (3). In particular, we consider the same linear factor models used in the previous section, adding the greenness and transparency factor fg among the observable factors as follows: Model Factors K CAR + G fm,t, fsmb,t, fhml,t, fmom,t, fg,t 5 3FF + G fm,t, fsmb,t, fhml,t, fg,t 4 CAPM + G fm,t, fg,t 2 The risk premium associated with the greenness and transparency factor is defined as follows: = +E f[ ] .g g t g, (7) In order to estimate the risk premia for the observable factors using individual stocks, we follow the estimation procedure proposed in Gagliardini et al. (2016). This procedure allows to deal with unbalanced panels, hence allowing to estimate the model on individual stocks rather than portfolios, and involves the following steps. First, we estimate the linear factor model by using the Ordinary Least Square (OLS) estimator. Second, we use the fitted residuals to test whether the model is correctly specified. In particular, we compute the diagnostic criterion proposed in Gagliardini et al. (2019), which checks whether the error terms share at least one Table 1 Descriptive statistics for the returns from January 2006 to August 2018 on various portfolios, namely the transparent R˜, greener and more transparent R˜g , nontransparent R˜c and brown R˜b portfolios. Portfolio Mean Std Kurt Skew Sharpe t-stat R˜ 1.102 0.497 3.744 -0.391 0.204 2.522 R˜g 0.943 0.502 4.097 -0.593 0.188 2.315 R˜c 1.732 0.586 5.210 -0.632 0.296 3.643 R˜b 1.425 0.638 6.985 -0.909 0.224 2.754 Note: The table reports the monthly mean and standard deviation (Std), kurtosis (Kurt) and skewness (Skew), the Sharpe ratio, and the t-stat for the null hypothesis that the mean return is zero. Table 2 Estimates of linear factor models on portfolio excess returns. The table gathers results for transparent, green, non-transparent and brown portfolios considering the following linear models: four-factor Carhart model (CAR), three-factor Fama-French model (3FF) and the CAPM. Statistical significance at the 1% (***), 5% (**) and 10% (*) levels, and the adjusted R-squared (Radj 2 ). Portfolio R˜ Green R˜c Brown CAR model aˆ 0.005*** 0.004*** 0.011*** 0.007*** bˆm 0.953*** 0.945*** 1.061*** 1.112*** bˆsmb -0.208*** -0.261*** 0.476*** 0.702*** bˆhml -0.176*** -0.194*** -0.144** -0.141 bˆmom 0.056*** 0.046 -0.028 0.029 Radj 2 0.979 0.947 0.940 0.864 3FF model aˆ 0.005*** 0.005*** 0.011*** 0.008*** bˆm 0.944*** 0.938*** 1.065*** 1.107*** bˆsmb -0.213*** -0.264*** 0.478*** 0.700*** bˆhml -0.212*** -0.224*** -0.126** -0.159 Radj 2 0.978 0.947 0.940 0.865 CAPM aˆ 0.006*** 0.005*** 0.012*** 0.009*** bˆm 0.899*** 0.891*** 1.032*** 1.063*** Radj 2 0.966 0.931 0.916 0.822 Table 3 Descriptive statistics of the three Fama-French factors, momentum and greenness and transparency factors. The table reports annualized mean return, standard deviation, kurtosis and skewness, as well as the factor correlation matrix. Factor Mean Std Kurt Skewn fm fsmb fhml fmom fm 6.035 1.885 4.690 -0.642 1 fsmb 1.671 0.641 3.195 -0.129 -0.034 1 fhml -1.378 0.788 3.582 0.519 0.533 -0.062 1 fmom 9.398 1.313 19.610 -2.546 -0.439 -0.009 -0.506 1 fg -4.350 1.291 4.563 0.103 -0.224 -0.483 -0.206 0.268 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 7 unobserved common factor. Based on our sample, the criterion does not detect any common factor for the residuals, suggesting the validity of the factor structure.18 Third, we compute the cross-sectional estimator νk from Eq. (3) by Weighted Least Squares (WLS). Finally, the estimate of the risk premium ˆk for each factor is given by the sum of the expected return on the factor E[fk,t] and the estimate of ˆk. Table 4 shows the estimated risk premia attached to the factors, including the greenium, as well as the estimates for νk. Looking at the first two columns of the table, almost all risk premia are significant across the board, and have the expected signs. In particular, the estimated risk premia for the market, size, value and momentum factors are comparable with the results in Gagliardini et al. (2016) and Chaieb et al. (2020). The estimated greenium is negative and significant at the 1% level in all cases. A negative greenium indicates that investors accept lower compensation, ceteris paribus, to hold assets that correlate positively with the greenness and transparency factor, i.e. greener and more environmentally transparent assets. The mainstream interpretation of this result is based on the assumption that investors only care about their portfolios’ future payoffs. Hence, if they accept a lower remuneration to hold a certain type of assets, this must be because by doing so they are hedging some risks. In this specific case, holding greener and more transparent stocks constitutes a hedging strategy against climate risk. In the case of more environmentally friendly and transparent stocks, however, other considerations may also play a role. In particular, as suggested by Fama and French (2007), investors decisions may also be driven by some ‘taste for assets’, unrelated to expected returns. In this light, an emerging ‘taste for green’ in the market could also explain our result. The last two columns of Table 4 refer to ˆk. Focussing on the greenness and transparency factor, ˆg is always negative and significant at the 1% level for the CAR+G, and at the 5% for the 3FF+G and CAPM+G models. For this component of the risk premium, the literature has proposed an interpretation linked to market imperfections (see, e.g. Daniel and Titman, (1997); Haugen and Baker, (1996)). With reference to the greenium, our hypothesis is that νg could capture alternative preferences of market participants, for example reflecting alternative expectations on future states of the economy (see Black and McMillan, (2006)). In other words, some of the information that market participants have may not be fully captured based only on past returns. In this context, the difference between the investors’ larger information set and the smaller, backward-looking information set on which the model is estimated could be reflected in νk. This may be true in particular in the case of green and brown assets, in which case future perspectives may play a comparatively more important role than for other categories of assets. In order to analyze the relative importance of environmental disclosures and environmental performance, in Table 5 we report results for the greenium, as defined in Eq. (7), obtained by tuning the parameter γ, i.e. the weight attached to the emission intensity.19 In particular, by imposing γ > 0.5, we construct an indicator where the quality of a firm’s environmental disclosures has a lower weight compared to its emission intensity. This version of the indicator attaches a larger weight to hard data and quantitative information, and a smaller weight to a transparency score which may also rely on descriptive statements and high level disclosures. Conversely, γ < 0.5 attaches a lower weight to quantitative information and a higher weight to the overall quality and completeness of environmental disclosures. We also investigate the extreme cases for which γ = 0 and γ = 1, i.e. the cases for which the indicator Gi,y is based on the E score Ei,y only, and on the emission intensity Ki,y only, respectively. The first main result is that the greenium is negative and significant at the 1% confidence level also for γ = 0.2 and γ = 0.8, showing that our findings are not dependent on giving the same weight to the two components of the greenness and transparency factor. In broader terms, our approach is still valid if we assume that the market gives more weight to emissions than to transparency, or the other way around. However, the second important finding is that both components matter. Indeed, the greenium is not, or only mildly, significantly different from zero when γ assumes extreme values, thereby neglecting one of the two components. This indicates that only the combination of emission intensity and disclosure quality is systematically priced by the market. In particular, an indicator based on emissions only (γ = 1) is associated with a risk premium not significantly different from zero, suggesting that investors do not look at emissions only. At the same time, with γ = 0, i.e. when only the completeness of environmental disclosures matters, the greenium is still negative and significant, but only at the 10% level. As for ν, which is linked to the existence of market frictions, the estimates ˆg are in line with the results in Table 4 for γ = 0.2, 0.8, 1, while ˆg with γ = 0 is not significantly different from zero. Table 4 Estimated annualized premia ˆk and cross-sectional parameters ˆk for the factors in the Carhart model and for the greenness and transparency factor. The confidence intervals are reported at the 99% level. ***, ** and * denote significance at 1%, 5% and 10% levels, respectively. CAR + G model ˆm 10.659** ˆm 4.625*** (−4.913, 26.232) (3.876, 5.373) ˆsmb 3.326** ˆsmb 1.655*** (−1.354, 8.006) (0.682, 2.627) ˆhml -4.582* ˆhml -3.203*** (−10.723, 1.560) (−4.510,−1.896) ˆmom 8.986** ˆmom -0.412 ( −1.463, 19.436) (−3.117, 2.293) ˆg -9.860*** ˆg -4.076*** (−17.017, −2.702) (−6.221, −1.931) 3FF + G model ˆm 10.534* ˆm 4.499*** (−5.038, 26.106) (3.766, 5.231) ˆsmb 2.634 ˆsmb 0.963*** (−2.046, 7.314) (0.007, 1.918) ˆhml -5.903** ˆhml -4.525*** (−12.045, 0.238) (−5.812, −3.238) ˆg -7.545*** ˆg -1.781** (−14.722, −0.407) (−3.886, 0.325) CAPM + G ˆm 11.137* ˆm 5.102*** (−4.435, 26.708) (4.397, 5.807) ˆg -7.282*** ˆg -1.498** (−14.440, −0.125) (−3.360, 0.364) Table 5 Estimated annualized greenium ˆg and ˆg associated with the greenness and transparency factor, based on the CAR+G model including five factors overall. Results are reported for γ = 0, 0.2, 0.8, 1. ***, ** and * denote significance at 1%, 5% and 10%, respectively. γ = 0 γ = 0.2 γ = 0.5 γ = 0.8 γ = 1 ˆg -5.461* -8.290*** -9.860*** -9.853*** -0.152 ˆg 0.574 -2.860*** -4.076*** -5.554*** -1.477** 18 For example, for the Carhart model plus the greenness and transparency factor, the difference between the largest eigenvalue of the empirical cross-sectional covariance matrix of the residuals ˆi t, and the penalization term is negative, pointing to the absence of omitted factors. 19 We only report results for the risk premium and the cross-sectional parameter ν associated with the greenness and transparency factor. Estimation results for the other observable factors are available upon request. The results for these factors are in line with the ones in Table 4. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 8 6. Robustness checks In this section we provide a battery of robustness checks that are summarized in Table 6. The exercises are combinations of the following three dimensions: (i) the definition of the greenness and transparency indicator (i.e. ‘functional form’); (ii) the reference sample of individual stocks; and (iii) the definition of the greenness and transparency factor. The first set of exercises (Rob. 1.1−Rob 2.3) relate to the greenness and transparency indicator as defined in Eq. (1). The second set of exercises (Rob. 3.1−Rob. 4.3) involves a different specification for the greenness and transparency indicator. In particular, we propose an alternative functional form, where the two components of the indicator are related to each other in the form of a ratio. In this specification, we use the emission intensity and the E score as such, while the benchmark specification involves the rankings based on these two indicators. The alternative definition is thus as follows: = =G E K E Sales Emissions * * * * ,i y i y i y i y i y , , , , , (8) where E*i y, is the E score and K*i y, is the ratio of total GHG or CO2 emissions over sales. Unlike the indicator in Eq. (1), the indicator based on Eq. (8) suffers from a non-linearity issue. In particular, a variation in the denominator corresponds to a more than proportional change in the greenness and transparency indicator. This nonlinearity yields an unstable pattern for the greenness and transparency indicator over time for some companies. In robustness checks Rob.2.1–2.3 and Rob. 4.1–4.3, we expand our sample to include all listed European companies which do some environmental disclosure, i.e. have an E score larger than zero, and those that do no disclosure and belong to brown sectors, as defined in Section 3. By doing so, we more than double the size of the sample, bringing it to 2154 stocks. However, as discussed in Section 5, enlarging the sample to include mid and small caps may affect the quality of the environmental information used to construct the greenness and transparency indicator. For this reason, in this exercise we still use the greenness and transparency factor as constructed on the smaller, more reliable sample. In particular, the greener and more transparent portfolio and the brown portfolio include the same firms as described in Section 3, hence the factor is the same as in the benchmark exercise described in Section 5. However, this factor is used in Rob.2.1–2.3 and Rob. 4.1–4.3 to price a larger set of assets. Formally, referring to Eq. (2), this set of robustness checks involves the same factors ft,k as in the benchmark case, but a larger number of stocks N > n. Additionally, we check the robustness of the results with respect to the definition of the greenness and transparency factor. In the benchmark case (see Section 5.2) as well as in Rob. 2.1, 3.1 and 4.1, we build a portfolio of brown firms selecting the ones belonging to the highest emitting NACE economic sectors, among those that do no environmental disclosure. However, one could argue that the NACE classification is in some cases unsuitable for sustainability analysis. Hence, we build an alternative greenness and transparency factor fg t, 1 based on the returns on the greener and more transparent portfolio r˜t g , on the one hand, and those of the portfolio including all nontransparent firms r˜t c , on the other. Formally, =f r r˜ ˜ .g t t g t c , 1 Rob 1.1, 2.2, 3.2, and 4.2 perform the estimation of risk premia using the greenness and transparency factor fg t, 1 . Finally, we test yet another specification for the greenness and transparency factor, only based on transparent firms. In particular, we construct the greenness and transparency factor fg t, 2 as the difference between the returns on the greener and more transparent firms and the firms that do some environmental disclosure, but only attain lower levels of greenness and transparency. The former set of firms correspond to the greener and more transparent portfolio as defined in Section 5, i.e. the one including firms in the top quintile of the distribution of the greenness and transparency indicator. The latter set of firms correspond to those in the lower quintile of the distribution of the greenness and transparency indicator. Formally, the greenness and transparency factor is constructed as follows: =f r r˜ ˜ .g t t g t, 2 1 Also in this case, we test both specifications of the greenness and transparency indicator on the two samples (see Rob. 1.2, 2.3, 3.3 and 4.3). Table 6 Overview of robustness checks. Functional form γ Size sample Factor Rob. 1.1 Eq. (1) 0, 0.2, 0.5, 0.8, 1 946 fg t, 1 Rob. 1.2 Eq. (1) 0, 0.2, 0.5, 0.8, 1 946 fg t, 2 Rob. 2.1 Eq. (1) 0, 0.2, 0.5 0.8, 1 2154 fg,t Rob. 2.2 Eq. (1) 0, 0.2, 0.5, 0.8, 1 2154 fg t, 1 Rob. 2.3 Eq. (1) 0, 0.2, 0.5, 0.8, 1 2154 fg t, 2 Rob. 3.1 Eq. (8) n.a. 946 fg,t Rob. 3.2 Eq. (8) n.a. 946 fg t, 1 Rob. 3.3 Eq. (8) n.a. 946 fg t, 2 Rob. 4.1 Eq. (8) n.a. 2154 fg,t Rob. 4.2 Eq. (8) n.a. 2154 fg t, 1 Rob. 4.3 Eq. (8) n.a. 2154 fg t, 2 Table 7 Results for robustness checks Rob. 1.1−Rob 2.3. The estimated annualized greenium ˆg and the estimated ˆg are computed from the CAR + G model. The greenness and transparency factor is computed based the indicator Gi,y, with γ = 0, 0.2, 0.5, 0.8, 1 and is defined using the alternative specifications fg,t, fg t, 1 and fg t, 2 . Results in the upper part of the table are based on the benchmark sample comprising 946 European individual stocks, while results in the lower part of the table are based on a larger sample comprising 2154 stocks. ***, ** and * denote significance at 1%, 5% and 10% levels, respectively. γ = 0 γ = 0.2 γ = 0.5 γ = 0.8 γ = 1 n = 946 Rob. 1.1: greenness and transparency factor fg t, 1 ˆg 1.308 -4.611** -6.238*** -7.199*** -2.757 ˆg 6.138*** 4.509*** 3.235*** 0.821 0.808 Rob. 1.2: greenness and transparency factor fg t, 2 ˆg -3.222 -1.888 -4.746** -6.648*** 2.853 ˆg 1.534** -1.759*** -3.280*** -6.770*** 1.828*** n = 2154 Rob. 2.1: greenness and transparency factor fg,t ˆg -5.056* -3.699 -5.156* -4.260 3.159 ˆg 0.979 1.731** 0.628 0.071 1.833*** Rob. 2.2: greenness and transparency factor fg t, 1 ˆg 3.209 -3.448 -4.531** -5.127** -3.023 ˆg 8.039*** 5.671*** 4.942*** 2.893*** 0.542 Rob. 2.3: greenness and transparency factor fg t, 2 ˆg -5.569** -2.781* -3.434* -4.364** 0.990 ˆg -0.813 -2.652*** -1.968*** -4.486*** -0.035 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 9 Table 7 reports the estimated greenium ˆg and the estimated coefficient ˆg for Rob. 1.1 - Rob. 2.3.20 The results are based on a five-factor model including the factors in the Carhart model and the greenness and transparency factor. Rob. 1.1 and 1.2 use the alternative definitions of the greenness and transparency factor. Building the factor by considering all nontransparent firms instead of only brown firms (Rob. 1.1) still yields a negative and significant greenium for all intermediate values of γ. Building the factor by considering only transparent firms (Rob. 1.2) yields a negative and significant greenium for γ = 0.5 and γ = 0.8, at the 5% and 1% confidence level, respectively. Notice that the variation in the size of the greenium in Rob. 1.1 and 1.2 compared to the results in Table 5 is purely mechanical, due to the smaller expected value of fg t, 1 and fg t, 2 compared to E[ fg,t]. Looking at the lower part of Table 7, Rob. 2.1–2.3 estimate the model on the larger sample of European stocks. Considering the benchmark definition for the factor and with γ = 0.5, the greenium remains negative and significant at the 10% level. Considering the two alternative definitions for the factor, the greenium remains negative and significant at the 5% and 10% level for Rob. 2.2 and Rob. 2.3, respectively. Varying γ on this larger sample yield a negative greenium in some instances, but results are generally less strong in terms of significance. Notably, the specifications based on γ = 1, i.e. using only on emission data, are associated with a non-significant greenium on the larger sample as well. Focussing on the columns corresponding to extreme values for γ, i.e. γ = 0 and γ = 1, the greenium is not, or only mildly, significantly different from zero in most exercises. This confirms that only the combination of emission intensity and disclosure quality is generally priced by the market. In no case an indicator based on emissions only (γ = 1) is associated with a significant risk premium. When only the completeness of environmental disclosures matters, the greenium is still negative and significant in two cases, but only at the 5% level at best. This finding confirms the results in Table 5. Moreover, estimates of ν remain significant in most cases and tend to lose significance when the distribution of the factor loadings bˆi for the greenness and transparency factor is characterized by a larger standard deviation. Finally, Table 8 shows results using the greenness and transparency indicator defined in Eq. (9). The more unstable behavior of this version of the indicator does not affect the results. The greenium remains negative and highly significant with the benchmark factor fg,t as well as with fg t, 1 and fg t, 2 (Rob 3.1–3.3). The greenium is still negative on the larger sample considering all the three alternatives for the construction of the factor. However, significance is lower in Rob. 4.2 and Rob. 4.3, while the estimate in Rob. 4.1 is not significant. Overall, the greenium remains negative and significant across the majority of the several robustness checks. It tends to loses statistical significance mostly in extreme cases, when we only consider one of the two components of the synthetic greenness and transparency indicator. 7. Climate stress test on actual holdings Based on the estimates derived in the previous section, we carry out a climate stress test on actual investors’ equity holdings. We consider the various institutional sectors at the global level, as well as European SIFIs in particular. The aim of a climate stress test is to measure the exposure of investors to climate risk, in a scenario where more stringent sustainability-oriented policies are progressively implemented, with increasing pressure on comparatively more carbon-intensive firms and sectors. In such a scenario, the expected returns on greener stocks increase, as more sustainable firms are able to distribute higher dividends, while the price of brown stocks drops for the same reason. Notably, one of the first areas where policy pressure may increase, and is in fact already increasing in Europe, is that of environmental disclosures. Against this background, firms that have already implemented suitable nonfinancial accounting procedures and adopted more advanced environmental reporting standards will be better off once the non-financial disclosure regulation becomes more stringent. In other words, the expected return on stocks of more environmentally sustainable and transparent firms conditional to the implementation of sustainability policies increases. Formally, this implies that the return on the greenness and transparency factor in Eq. (6), which is positively correlated with returns on greener and more transparent stocks, increases. We test the resilience of investors to climate risk by borrowing data on equity exposures and the classification of economic sectors into climate-policy-relevant sectors from Battiston et al. (2017). Following the indication provided by the authors as supplementary information in Table 3, we group individual stocks (see Section 5) according to their associated NACE code. In particular, we classify stocks in the following economic sectors: fossil fuels, energy intensive activities, housing, utilities, transport, finance and other. Table 1 in Battiston et al. (2017) provides aggregate holdings into climate-policy-relevant sectors, as of 2015, for the following institutional sectors: Individuals, Governments (GOV), Non-Financial Companies (NFCs), Other Credit Institutions (OCIs), Other Financial Services (OFSs), as well as the institutional financial sectors as defined in the ESA classification, i.e. Banks, Investment Funds (IFs), and Insurance and Pension Funds (IPFs). Battiston et al. (2017) also classify equity holdings of individual financial institutions by climate-policy-relevant sectors, obtaining the share of their portfolio invested into each of these sectors. Based on their data, we focus on European SIFIs, as identified by the Financial Stability Board. The equity portfolio of an investor j at time t is defined as follows: = = r r ,j t t, 1 7 , (9) where ωκ corresponds to the equity exposure to the climatepolicy-relevant sector κ and rκ,t is the monthly average value weighted portfolio return of sector κ. Table 8 Results for robustness checks Rob. 3.1−Rob 4.3. The estimated annualized greenium ˆg and the estimated ˆg are computed from the CAR + G model. The greenness and transparency factor is computed based the indicator G*i y, . The greenness and transparency factor is defined using the alternative specifications fg,t, fg t, 1 and fg t, 2 . Results in the upper part of the table are based on the benchmark sample comprising 946 European individual stocks, while results in the lower part of the table are based on a larger sample comprising 2154 stocks. *, ** and *** denote significance at 10%, 5%, and 1% levels, respectively. Factor fg,t fg t, 1 fg t, 2 n = 946 Rob. 3.1 Rob. 3.2 Rob. 3.3 ˆg -8.873*** -6.217*** -5.692*** ˆg -4.313*** 2.031*** -5.303*** n = 2154 Rob. 4.1 Rob. 4.2 Rob. 4.3 ˆg -4.330 -5.240** -3.992* ˆg 0.229 3.008*** -3.603*** 20 We only report results for the risk premium and the cross-sectional parameter ν corresponding to the greenness and transparency factor. Estimation results for the other observable factors are available upon request. The results for these factors are in line with the ones for the benchmark case described in Section 5.2. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 10 For each institutional sector and individual bank j, we compute the marginal expected shortfall (MES) introduced by Acharya et al., (2017). The MES is defined as the expected equity loss conditional on a particular factor return taking a loss greater than Γ. In this application we estimate the expected equity loss conditional on the greenness and transparency factor return defined in Eq. (6) realizing a gain greater than Γ, i.e. a scenario where greener and more transparent stocks outperform brown stocks by more than a particular threshold. Hence, we can write the MES as follows: = < = >MES E r f E r f[ ] [ ].j t j t g t j t g t, , , , , We compute the MES considering the following three cases, which are defined in terms of portfolio allocation: • Baseline Case: the investors’ portfolio allocation is defined as in Eq. (9) and reflects the actual allocation of institutional sectors and financial institutions as in Battiston et al. (2017). The portfolio share invested in each of the stocks included in on our sample is derived accordingly. • Case 1: the investors’ portfolio allocation is defined as = + ++ =r r r rj t j t j t j t, 1 2 ,1 1, 1 2 ,1 2 7 , , , where the exposure to the fossil fuel sector, characterized by the highest emissions, is reduced by 50% compared to the baseline. At the same time, we assume that investments are reallocated to greener and more transparent stocks, defined as the stocks with a positive exposition to the greenness and transparency factor. • Case 2: the investors’ portfolio allocation is defined as = = + r rj t j t, 1 7 , , , i.e. only greener and more transparent stocks, as defined above, are included in the portfolio. In all three cases, the MESj,t is computed w.r.t. the event fg,t > q0.95, where q0.95 indicates the 95th percentile of the distribution of the greenness and transparency factor. This corresponds to an extreme, but still plausible scenario. Tables 9 and 10 report MES results for the institutional sectors at the global level and for European SIFIs, respectively. The MES is expressed both as percentage loss and in billions of US dollars. Looking at Table 9, the average MES at the global level in the baseline scenario, i.e. given the actual portfolio allocation in 2015, is estimated to be −1.5%. The very limited variation across institutional sectors and institutions indicates that no one would be immune. A loss of −1.5% on equity portfolios globally corresponds to USD 387 bn. For comparison, this figure is close to the total disbursements under the Troubled Asset Relief Program (TARP), through which the US Government purchased or insured troubled assets between 2008 and 2014. Table 9 also shows what would happen should a global portfolio reallocation take place. The figures obtained under Scenario 1 indicate that halving the exposure to carbon-intensive activities would reduce the MES only marginally. Losses would be avoided only under Scenario 2, characterized by a radical portfolio reallocation. Turning to Table 10, we estimate a loss of −1.6%, with individual banks recording losses of up to −2.2% on their equity portfolio. An average loss of −1.6% for European SIFIs corresponds to almost USD 7 bn. These figures are admittedly not breathtaking, and one might argue that losses of this magnitude would be unlike to trigger a financial crisis. However, this exercise only focuses on equity exposures, and only on first-round losses. Actually, one should consider that a scenario where greener assets very much outperform brown ones would be rooted into a deep transformation of the economy as a whole. The low-carbon transition, if implemented in a sudden and disorderly manner, would be associated with stranded assets and non-performing loans, on top of losses on the stock market, which would also very much weigh on bank’s profits. In fact, only a comparatively small fraction of the overall exposure of banks to carbon-intensive economic sectors is due to banks’ equity holdings. Moreover, the stress-testing literature has shown that second-round effects, such as contagion dynamics, the devaluation of counterparties’ debt obligations, as well as the price impact of fire sales, may considerably amplify first-round losses. In particular, works based on network models show that second-round losses are comparable in magnitude to first round losses (see Battiston et al. (2017) and references therein). Having said that, our data is not granular enough to estimate the amount of second-round losses that could add up to first-round impacts in a scenario like the one we are considering. Moreover, the MES-based stress-testing tool we propose is specifically targeted to assess climate risk in the equity portfolio. However, it’s worth recalling that the global financial crisis, culminating in trillions of losses in world GDP, was triggered by writedowns on the value of loans and securitized assets due to the US subprime crisis, which for many banks amounted to just few billions. 8. Conclusions and further research Based on European stocks, we provide evidence of the existence of a pricing factor linked to climate risk and find that the greenium, i.e. the associated risk premium, is negative and highly statistically significant. This is a novel result in the asset pricing literature. We obtain this result because we take greenness and environmental transparency seriously, unlike studies based on publicly traded funds or indices, which often market themselves as greener than they actually are. To attenuate the problem of greenwashing, we construct an index of greenness and environmental transparency at the individual company level, which takes into account both the GHG emission intensity of a company and the quality of its environmental disclosure. Based on this index we identify the greener and more transparent companies, while we select brown companies among those that do no disclosure, and operate in brown sectors. These two Table 9 The table reports the MES in percentage terms and in billions of dollars, for the three scenarios, for global institutional sectors. The MES is computed conditional to the event fg,t > q0.95. MES (%) MES (Bn $) Baseline Scenario 1 Scenario 2 Baseline Scenario 1 Scenario 2 OCIs -1.592 -1.511 0.113 -8.236 -7.821 0.584 Governments -1.411 -1.259 -0.085 -8.169 -7.286 -0.493 Individuals -1.433 -1.383 0.245 -37.270 -35.964 6.375 Banks -1.495 -1.411 0.062 -40.864 -38.553 1.686 IPFs -1.434 -1.339 0.096 -46.529 -43.460 3.119 OFSs -1.447 -1.376 0.200 -50.261 -47.791 6.931 Non-Financial Companies -1.462 -1.355 0.095 -68.476 -63.444 4.469 Investment Funds -1.404 -1.323 0.211 -127.646 -120.310 19.194 Average and Total -1.460 -1.370 0.117 -387.451 -364.630 41.866 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 11 portfolios are used to define the greenness and transparency factor. The negative sign attached to the greenium indicates that investors buy stacks of greener and more transparent firms accepting a ceteris paribus lower return, as a hedging strategy to reduce their exposure to climate risk. We show that alternative definitions of ‘green factor’ which only consider GHG emissions or transparency do not work as well, if at all, in the pricing model, implying that investors take into account both firms’ GHG emissions and the quality of their environmental disclosures. Further research is warranted to identify other dimensions that may be relevant in the definition of a greenium in a stock price framework, as well as the investigation of a possibly time-varying greenium and its drivers. In the last part of the paper we use our model to price investors’ equity holdings. We find that their current portfolio allocation exposes them to non-negligible losses in a severe but plausible scenario, where greener and more transparent firms outperform brown firms. We estimate that direct losses could amount to 1.5% of the global equity exposure, and to USD 7 bn for European SIFIs overall. By adding up second-round effects and losses on loans and other assets, this figure could rapidly increase. We calculate that halving investors’ exposure to carbon-intensive activities would decrease losses only marginally, while only a radical portfolio reallocation towards greener assets would ensure resilience. Based on our results, and considering that we only focus on equity exposures, we argue in favor of introducing climate stress tests for systemic financial institutions to make sure that climate risk is suitably priced. The approach we propose to assess climate risk in equity portfolios is based on a simple and well-known methodology, the marginal expected shortfall, and could easily become part of a broader stresstesting exercise. Given that the awareness of investors towards climate-related issues has clearly increased in recent years, it would make sense to estimate a model with a time-varying risk premium. As discussed, this presents challenges in terms of estimation, and will be the object of future research. Another interesting avenue relates to the drivers of the greenium, and in particular to the hypothesis that its negative sign could be driven by an increasing ‘taste for green’ among investors. Acknowledgements This paper is published as part of the Special Issue “Climate risks and financial stability,” which was co-edited by Stefano Battiston (University of Zurich and Ca' Foscari Univ. of Venice), Yannis Dafermos (SOAS University of London), and Irene Monasterolo (Vienna University of Economics and Business) and was kindly supported by the Joint Research Centre (JRC) of the European Commission, the Journal of Financial Stability, and the Center for Research in Contemporary Finance and the Gabelli School of Business at Fordham University. We thank the co-editors and two anonymous referees for constructive criticism and numerous suggestions which have lead to substantial improvements over the previous versions. We thank the authors of Battiston et al. (2017) for providing us with their data, which we use for the climate stress test. We are grateful to Ivan Faiella for his comments on the construction of the greenness and transparency indicator. We thank participants at a number of conferences, including CefES, IRMC, Finance for Sustainability, CREDIT, EAEPE, as well as at meetings and workshops at the European Central Bank, and seminars at the Universidad Autonoma de Madrid, at the University of Pavia and at the EC Joint Research Centre, for useful suggestions. Disclaimer: The content of this article does not necessarily reflect the official opinion of the European Commission. Responsibility for the information and views expressed therein lies entirely with the authors. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Appendix: Additional tables and figures Figs. 2 and 3 show the time-series of the greenness and transparency indicator Gi,y (top panels) for two representative companies, as well as their ranking in terms of E score and emission intensity over time. The bottom panels plot the firms’ E score over time, as well as their emission intensity. NIBE Industrier AB develops solutions for smart heating and intelligent control in industry and infrastructure. International Airlines Group is the largest airline group globally. The greenness and transparency indicator for the two companies differs by three orders of magnitude. For NIBE Industrier AB, the quality and quantity of disclosures have improved over time, together with a slightly decreasing emission intensity, both resulting in an increasing value for the greenness and transparency indicator over time. International Airlines Group attained an E score in 2011 which was comparable to that of NIBE Industrier AB in 2009. However, International Airlines Group’s disclosures only marginally improved over time, if at all. With respect to emissions, they are obviously incomparably larger for airlines than for many other companies. Table 10 The table reports the MES in percentage terms and in billions of dollars, for the three scenarios, for European SIFIs. The MES is computed conditional to the event fg,t > q0.95. MES (%) MES (Bn $) Baseline Scenario 1 Scenario 2 Baseline Scenario 1 Scenario 2 DEUTSCHE BANK AG via its funds -1.455 -1.321 -0.032 -2.348 -2.131 -0.052 BPCE SA via its funds -1.590 -1.539 0.112 -2.325 -2.251 0.164 BNP PARIBAS via its funds -1.621 -1.518 -0.141 -1.090 -1.021 -0.095 UNICREDIT SPA via its funds -1.482 -1.415 0.145 -0.438 -0.418 0.043 BARCLAYS PLC via its funds -1.512 -1.394 -0.079 -0.572 -0.528 -0.030 CREDIT SUISSE GROUP AG via its funds -1.420 -1.325 0.158 -1.300 -1.212 0.145 BANCO SANTANDER SA -1.912 -1.904 -0.486 -0.155 -0.154 -0.039 UBS GROUP AG via its funds -1.432 -1.314 0.097 -2.604 -2.390 0.176 ING BANK NV -2.225 -2.049 -1.120 -0.042 -0.039 -0.021 SOCIETE GENERALE GESTION -1.571 -1.496 0.088 -0.771 -0.734 0.043 Average and Total -1.647 -1.552 -0.167 -6.971 -6.496 0.222 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 12 Fig. 2. Greenness and transparency indicator GNIBE,y, E score and emissions intensity in ranked and row values, of the NIBE Industrier AB. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 13 Fig. 3. Greenness and transparency indicator GIntAir,y, E score and emissions intensity in ranked and raw values, of the International Airlines Group. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 14 Table 11 List of highest-emitting economic sectors in our sample. The last column reports the share of emissions associated to each sector. Description NACE Rev 2 Emissions (%) Code Mining of coal and lignite B05 Extraction of crude petroleum and natural gas B06 2.08% Mining of metal ores B07 Mining support service activities B09 Manufacture of coke and refined petroleum products C19 3.55% Manufacture of chemicals and chemical products C20 3.77% Manufacture of rubber and plastic products C22 10.23% Manufacture of other non-metallic mineral products C23 Manufacture of basic metals C24 9.00% Manufacture of fabricated metal products, except machinery and equipment C25 Electricity, gas, steam and air conditioning supply D35 28.82% Sewerage E37 Waste collection, treatment and disposal activities; materials recovery E38 4.04% Remediation activities and other waste management services E39 Land transport and transport via pipelines H49 4.98% Water transport H50 2.96% Air transport H51 3.53% Total 72.96% Note: Sector A01 “Crop and animal production, hunting and related service activities” is responsible for 11.91% of global emissions. However, there are no companies belonging to this sector in our sample. Source: Eurostat Table 12 List of brown companies in 2017. Company name NACE code Company name NACE code Lubelski Wegiel Bogdanka SA B05 Ibstock PLC C23 Genel Energy Plc B06 Rhi Magnesita NV C23 Norwegian Energy Co ASA B06 Bossard Holding AG C25 BHP Billiton PLC B07 Beijer Alma AB C25 Grupa Kety SA B07 Indus Holding AG C25 Stalprodukt SA B07 Boryszew SA C25 Alumetal SA B07 Mennica Polska SA C25 Elkem ASA B07 SFS Group AG C25 Northern Drilling Ltd B09 Fiskars OYJ Abp C25 Bonheur ASA B09 Elektrobudowa SA D35 Borr Drilling Ltd B09 Kogeneracja D35 Shelf Drilling Ltd B09 BKW AG D35 Odfjell Drilling Ltd B09 Arendals Fossekompani A/S D35 EMS-Chemie Holding AG C20 Nobina AB H49 Ciech SA C20 PKP Cargo SA H49 Tikkurila Oyj C20 Dfds A/S H50 Tessenderlo Group SA C20 Fjord1 ASA H50 Recticel SA C22 Ocean Yield ASA H50 Sanok Rubber Co SA C22 Frontline Ltd/Bermuda H50 Forbo Holding AG C22 Wizz Air Holdings Plc H51 Vidrala SA C23 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 15 Table 13 Estimated annualized risk premia ˆk and the cross-sectional estimator ˆk for the factors in the Carhart model and the greenness and transparency factor fg,t as in Eq. (6). The factor fg,t is built based on the deciles and terciles of the distribution of the greenness and transparency indicator. Confidence intervals are reported at the 99% level. ***, ** and * denote significance at 1%, 5% and 10% levels, respectively. Panel A: greener and more transparent portfolio includes top decile firms ˆm 10.592* ˆm 4.557*** (−4.982, 26.164) (3.805, 5.309) ˆsmb 3.306* ˆsmb 1.635*** (−1.375, 7.986) (0.65, 2.62) ˆhml -4.805** ˆhml -3.427*** (−10.947, 1.337) (−4.745, −2.109) ˆmom 9.203** ˆmom -0.196 (−1.247, 19.653) (−2.881, 2.491) ˆg -10.479*** ˆg -4.948*** (−17.298, −3.661) (−7.187, −2.708) Panel B: greener and more transparent portfolio includes top tercile firms ˆm 10.669* ˆm 4.634*** (−4.904, 26.241) (3.886, 5.383) ˆsmb 3.471* ˆsmb 1.8*** (−1.21, 8.151) (0.828, 2.772) ˆhml -4.635* ˆhml -3.257*** (−10.776, 1.507) (−4.56, −1.953) ˆmom 8.246** ˆmom -1.152 (−2.204, 18.696) (−3.968, 1.664) ˆg -8.612*** ˆg -3.331*** (−15.787, −1.437) (−5.428, −1.234) Table 14 Companies’ fundamentals (year 2017). The table reports descriptive statistics for size (measured by the log of total assets), leverage and RoA, considering companies included in the various portfolios. Portfolio Size Leverage RoA Mean Std Mean Std Mean Std R˜1 9.683 1.013 25.933 16.168 6.619 5.790 R˜2 9.368 1.099 23.027 15.349 6.474 6.825 R˜3 9.440 1.258 22.208 16.330 6.685 6.741 R˜4 9.496 1.201 22.019 14.405 6.977 7.577 R˜g 9.513 1.184 23.466 15.666 5.526 6.585 R˜ 9.473 1.158 23.196 15.365 6.627 6.922 R˜c 9.368 1.201 24.018 16.372 7.187 8.208 R˜b 9.433 1.164 24.888 17.461 7.163 8.077 Table 15 Descriptive statistics for portfolios including transparent firms. The table reports the mean and standard deviation (Std), kurtosis (Kurt) and skewness (Skew), the Sharpe ratio, t-stat for the null hypothesis that the mean return is zero. Portfolio R˜5 is the top green and transparent. Portfolio Mean Std Kurt Skew Sharpe t-stat R˜1 1.065 0.503 3.579 -0.099 0.212 2.611 R˜2 1.160 0.547 5.257 -0.684 0.212 2.617 R˜3 0.786 0.530 4.175 -0.391 0.148 1.827 R˜4 0.920 0.489 3.445 -0.232 0.188 2.317 R˜5 0.943 0.502 4.097 -0.593 0.188 2.315 L. Alessi, E. Ossola and R. 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Portfolio R˜1 R˜2 R˜3 R˜4 CAR model aˆ 0.005*** 0.007*** 0.003*** 0.004*** bˆm 0.925*** 1.004** 0.991*** 0.931*** bˆsmb -0.119 -0.052 -0.202*** -0.255*** bˆhml -0.103 -0.289*** -0.317*** -0.205*** bˆmom 0.144*** -0.057 -0.050 0.086*** Radj 2 0.878 0.916 0.941 0.938 3FF model aˆ 0.006*** 0.006*** 0.003*** 0.005*** bˆm 0.902*** 1.014*** 0.999*** 0.916*** bˆsmb -0.131 -0.048 -0.198*** -0.262*** bˆhml -0.194** -0.252*** -0.285*** -0.260*** Radj 2 0.87 0.915 0.940 0.935 CAPM aˆ 0.006*** 0.007*** 0.003** 0.005*** bˆm 0.860*** 0.958*** 0.938*** 0.861*** Radj 2 0.864 0.908 0.926 0.917 L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 17 Lintner, J., 1965. The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Rev. Econ. Stat. 47 (1), 13–37. Marquis, C., Toffel, M.W., Zhou, Y., 2016. Scrutiny, norms, and selective disclosure: a global study of greenwashing. Organ. Sci. 27 (2), 483–504. 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Fossil fuel divestment and portfolio performance. Ecol. Econ. 146, 740–748. L. Alessi, E. Ossola and R. Panzica Journal of Financial Stability 54 (2021) 100869 18