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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1108508</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1108508</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Environmental information disclosure and stock price crash risk: Evidence from China</article-title>
<alt-title alt-title-type="left-running-head">Ge et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2023.1108508">10.3389/fenvs.2023.1108508</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ge</surname>
<given-names>Yongbo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Qi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2072028/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qiu</surname>
<given-names>Shiwen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kong</surname>
<given-names>Xiaoran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Finance</institution>, <institution>Shandong University of Finance and Economics</institution>, <addr-line>Jinan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Chinese Language and Literature</institution>, <institution>Shandong Normal University</institution>, <addr-line>Jinan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1079674/overview">Rui Xue</ext-link>, Macquarie University, Australia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2120304/overview">Yongping Li</ext-link>, Qilu University of Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2130698/overview">Yao Yao</ext-link>, University of Birmingham, United Kingdom</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qi Chen, <email>15806678980@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1108508</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ge, Chen, Qiu and Kong.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ge, Chen, Qiu and Kong</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Environmental performances have gained great prominence for firms in recent years. This paper empirically tests the relationship between environmental information disclosure and the risk of stock price crashes based on a sample of Chinese A-share listed firms from 2013&#x2013;2018. The results show that environmental information disclosure has a significant negative correlation with stock price crash risk, with mechanism analysis showing that media coverage plays an intermediary role between them. Further analysis finds that: first, the inhibitory effect of environmental information disclosure on stock price crashes is more significant in companies with a lower proportion of independent directors, which reflects the supervision effect of environmental information disclosure. Second, the role of environmental information disclosure has a greater negative impact on the risk of stock price crashes in industries with low competition, indicating that environmental information disclosure is not a tool for enterprises to compete for resources. Third, the profit motivation of institutional investors restrains the negative impact of environmental information disclosure on price collapse risk. Forth, the level of government environmental governance is an important support for enterprise environmental information disclosure.</p>
</abstract>
<kwd-group>
<kwd>environmental information disclosure</kwd>
<kwd>nonfinancial information disclosure</kwd>
<kwd>media coverage</kwd>
<kwd>stock price crash risk</kwd>
<kwd>corporate governance</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>As the Chinese economy has entered a stage of high-quality development, it is crucial to continuously improve the capital market that serves the development of the real economy. However, along with high growth, China&#x2019;s stock market also has the problem of vulnerability, especially the frequent crashes and collapses of the stock market after the 2008 financial crisis, which poses a challenge to China&#x2019;s economic security and sustainable development. Regarding the causes of stock price crashes, based on principal-agent theory and information asymmetry theory, the relevant literature generally finds that company executives choose to hide the company&#x2019;s &#x201c;bad news&#x201d; out of self-interested motives such as maintaining a reputation (<xref ref-type="bibr" rid="B24">Jin and Myers, 2006</xref>). As adverse news continues to accumulate until it is impossible to hide, it will suddenly explode in the capital market, leading to the rapid decline of individual stock prices and forming a so-called stock price crash. In this process, the lack of information disclosure leads to the decline of information transparency, regarded as an important factor in stock price crashes.</p>
<p>Information disclosure is not only a strong guarantee of improving the level of corporate governance but also the institutional cornerstone of the healthy development of capital markets. Information disclosure can be divided into financial information disclosure and non-financial information disclosure, although previous studies have focused more on financial information. For example, <xref ref-type="bibr" rid="B21">Hutton et al. (2009)</xref> showed that the lack of transparency in financial reports increased the risk of a company&#x2019;s stock price crash; and (<xref ref-type="bibr" rid="B50">Zhu et al., 2020</xref>) argued that internet information interaction could improve the authenticity of corporate financial information, encourage investors to form reasonable expectations, and avoid the occurrence of stock price crashes. With the deepening of research, some scholars have turned to non-financial information disclosure, such as the impact of corporate social responsibility on stock price crashes (<xref ref-type="bibr" rid="B27">Kim et al., 2014</xref>), but the coverage of relevant non-financial information research is narrow, and the content in developing countries is deficient (<xref ref-type="bibr" rid="B41">Tao et al., 2022</xref>). As an important aspect of information disclosure, a consensus has been formed on the role of non-financial information disclosure in improving the information environment of capital markets (<xref ref-type="bibr" rid="B20">Hu and Tan, 2013</xref>). Therefore, it is necessary to combine different corporate internal governance and external environments to discuss from the perspective of non-financial information disclosure, which will help provide a comprehensive, in-depth understanding of the causes of stock price crash risk. From the perspective of environmental information disclosure, this paper attempts to answer the following questions: What is the relationship between environmental information disclosure and stock price crash risk? How can media coverage play a role in this relationship? Does firm heterogeneity significantly affect the relationship?</p>
<p>Accordingly, this paper uses unbalanced panel data of 2,446 listed firms from 2013&#x2013;2018 to empirically test the relationship between environmental information disclosure and stock price crash risk. The main reasons for choosing the Chinese market are as follows. First, China has grown into the world&#x2019;s second largest economy in recent years, but its capital market is still immature. There have been repeated stock price crashes in recent years, such as the financial crisis in 2008 and the 1,000-share crash in 2015. It means that the market is vulnerable to the impact of information shocks, and the stock price will have frequent ups and downs, with poor stability and self-correction ability. Second, as the world&#x2019;s largest emerging capital market, its participants are mainly retail investors, and compared with developed markets, the information disclosure system is not perfect. China&#x2019;s unique macro environment provides a good foundation for studying the impact of information disclosure. Therefore, Under the current economic downward pressure and the capital market is unstable, exploring the risk management mechanism of stock price crash in the Chinese market is helpful to maintain the stability of the capital market. At the same time, it can also provide reference for other emerging economies and developing countries with excess resource consumption to resolve enterprise risks through market-oriented means. Third, The accelerating climate change concerns highlight the importance of reducing fossil fuel consumption (<xref ref-type="bibr" rid="B43">Tian et al., 2022</xref>). China&#x2019;s sustained high economic growth has accompanied the sharp increase in resources and energy consumption (<xref ref-type="bibr" rid="B25">Kang et al., 2022</xref>), environmental information disclosure can be regarded as an important symbol for enterprises to reduce energy consumption, therefore research on environmental information disclosure can contribute to energy transition.</p>
<p>The results show that environmental information disclosure is significantly negatively correlated with the risk of stock price crashes, which is still significant after using the instrumental variable method, propensity score matching (PSM) method, replacement variables and other robustness tests. The mechanism analysis shows that media coverage plays a mediating role in the inhibitory effect of environmental information disclosure on stock price crash risk. Further analysis shows that the characteristics of the board of directors, the pressure of industry competition, the shareholding ratio of institutional investors and the level of government environmental governance are important factors affecting the relationship.</p>
<p>The contributions of this paper are as follows. First, it expands the research on the influencing factors of stock price crash risk. Based on the perspective of financial information disclosure projects and supervision, existing studies have confirmed that the improvement of financial information quality significantly reduces the risk of stock price crashes, but the discussion on the influence of non-financial information disclosure on stock prices is still insufficient in developing countries (<xref ref-type="bibr" rid="B41">Tao et al., 2022</xref>). An analysis based on environmental information disclosure will undoubtedly enrich the research in related fields. Second, based on different market participants, this paper conducts an in-depth examination of the impact of environmental information disclosure on stock price crash risk. Most of the literature continues the research approach of <xref ref-type="bibr" rid="B51">Chen et al. (2001)</xref> to analyze the mechanism of stock price crash risk from the perspective of corporate governance (<xref ref-type="bibr" rid="B38">Song et al., 2017</xref>). In this paper, however, the possible market reaction to the company&#x2019;s non-financial information is included in the research category of stock price crash risk mechanism analysis. It is useful to deepen and extend the understanding and analytical paradigm of the causes of stock price crash risk, which has profound theoretical and practical significance. Third, considering the macro background of China&#x2019;s green development and ecological civilization construction, our paper attempts to explore the impact of corporate environmental information disclosure on the capital market to provide empirical evidence on the economic consequences of implementing the green development concept and actively fulfilling environmental responsibility for enterprises. In addition, the heterogeneity analysis results also provide support for the development of environmental information disclosure policies of relevant departments and the decision-making of enterprise environmental information disclosure.</p>
</sec>
<sec id="s2">
<title>2 Hypothesis</title>
<p>Stock price crashes are an important topic in the field of asset pricing and corporate finance. Existing studies focus on the formation mechanism of stock price crashes and discuss the principal-agent problem and the corporate information environment. According to agency theory, the root cause of stock price crashes is that the company&#x2019;s senior executives, motivated by self-interest, including the pursuit of higher salary, honor and status, use their authority to exercise opportunistic behavior and deliberately conceal the company&#x2019;s adverse news, which eventually leads to the crash of the stock price (<xref ref-type="bibr" rid="B24">Jin and Myers, 2006</xref>). <xref ref-type="bibr" rid="B27">Kim et al. (2014)</xref> found that to maximize the value of short-term stock options, CEOs and CFOs are motivated to hide adverse news, leading to an increased risk of a stock price crash. Scholars have provided explanations from the perspective of corporate governance, including the number of shareholders, the proportion of major shareholders, the reduction of senior executives&#x2019; holdings, and the equity pledge of controlling shareholders. In terms of the information environment, <xref ref-type="bibr" rid="B24">Jin and Myers (2006)</xref> empirically tested the impact of information transparency differences between countries on stock prices using data at the national level and found that countries with lower information transparency had higher stock price crash risk. <xref ref-type="bibr" rid="B21">Hutton et al. (2009)</xref> turned the research subject to companies and found that corporate financial transparency significantly affected the probability of stock price crashes. The higher the transparency, the lower the probability of stock price crash risk. On this basis, <xref ref-type="bibr" rid="B27">Kim et al. (2014)</xref> conducted a more in-depth study. Based on the perspective of implied volatility, they found that the restatement of financial reports, earnings management and internal control defects would increase the occurrence of stock price crash risks. Other scholars have conducted research from the perspective of external supervision, including tax regulation (<xref ref-type="bibr" rid="B26">Kim et al., 2011</xref>; <xref ref-type="bibr" rid="B7">Chen et al., 2022</xref>), media reports (<xref ref-type="bibr" rid="B2">An et al., 2020</xref>; <xref ref-type="bibr" rid="B19">Hossain et al., 2022</xref>), institutional investors (<xref ref-type="bibr" rid="B47">Xiang et al., 2020</xref>), and investor sentiment (<xref ref-type="bibr" rid="B14">Fu et al., 2021</xref>).</p>
<p>The research on corporate environmental information disclosure mainly focuses on the following aspects: First, the content, mode and current situation of environmental information disclosure. Most scholars believe that the contents of environmental information disclosure should include environmental problems, impacts and corresponding countermeasures, as well as environment-related costs and benefits and environmental liabilities (<xref ref-type="bibr" rid="B8">Cho and Patten, 2007</xref>), and studied the <italic>status quo</italic> of environmental information disclosure of heavy polluting enterprises in China (<xref ref-type="bibr" rid="B35">Luo et al., 2019</xref>). Second, research on the influencing factors of environmental information disclosure. Most scholars have discussed the influencing factors of corporate environmental information disclosure from internal factors and external factors. Among them, external factors mainly include government policies and regulations, environmental control intensity, accounting responsibility and public opinion pressure, etc. (<xref ref-type="bibr" rid="B33">Liu and Anbumozhi, 2009</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="B11">Fang and Guo, 2018</xref>), internal factors are mainly enterprise size, industry type, green commitment and corporate governance (<xref ref-type="bibr" rid="B48">Yan and Chen, 2017</xref>; <xref ref-type="bibr" rid="B22">Jacoby et al., 2019</xref>; <xref ref-type="bibr" rid="B31">Liu et al., 2022a</xref>). Third, the impact of environmental information disclosure. Some scholars believe that environmental information disclosure can have a positive impact on corporate value through reducing information asymmetry, improving corporate investment efficiency (<xref ref-type="bibr" rid="B32">Liu et al., 2022b</xref>), enhancing corporate governance (<xref ref-type="bibr" rid="B9">Earnhart and Lizal, 2006</xref>) and influencing financial markets (<xref ref-type="bibr" rid="B45">Wan et al., 2021</xref>).</p>
<p>According to the theory of externalities, enterprises show positive or negative externalities in the pursuit of profit maximization (<xref ref-type="bibr" rid="B44">Tirole, 2001</xref>), but the management of the company is often unsatisfactory in dealing with negative externalities. Therefore, undertaking social responsibility can be regarded as an effort by enterprises to reduce their negative externalities (<xref ref-type="bibr" rid="B36">Magill et al., 2015</xref>) and has gradually become an effective way for enterprises to balance their own interests with those of other stakeholders (<xref ref-type="bibr" rid="B12">Ferrell et al., 2016</xref>). As a reflection of the interaction between enterprises and other stakeholders, environmental information disclosure is an important indicator to measure the attitude and strength of enterprises toward social responsibility. In general, it can not only reflect the internal information of the enterprise to investors but also affect the external impression and reputation of the enterprise (<xref ref-type="bibr" rid="B38">Song et al., 2017</xref>), which has an important impact on the stock price of the enterprise. Specifically, environmental information disclosure can reduce the risk of stock price crashes in two ways: the information transfer effect and the reputation guarantee effect.<list list-type="simple">
<list-item>
<p>(1) Information transfer effect. Generally, when the degree of information asymmetry between internal and external companies is high, firm executives are more likely to hide adverse news out of self-interest, which is the root of stock price crashes (<xref ref-type="bibr" rid="B16">Habib et al., 2018</xref>). On the one hand, according to signaling theory, enterprises can transmit internal information to the outside world through environmental information disclosure behavior, alleviate the information disadvantage of outsiders to a certain extent, inhibit the occurrence of concealment behavior by increasing the cost of hiding &#x201c;bad news&#x201d; by company executives, and reduce the probability of stock price collapse from the root. On the other hand, since environmental information disclosure transmits the relevant information about the enterprise, investors know the financial health status of the enterprise (<xref ref-type="bibr" rid="B34">Lizzeri, 1999</xref>); based on this, reasonable investment decisions can be made so that the stock price fully reflects the real business situation of the enterprise, avoiding the formation of stock price bubbles due to asymmetric information and the occurrence of stock price crashes at a certain point.</p>
</list-item>
<list-item>
<p>(2) Reputation guarantee effect. According to the theory of reputation management, the influence of people&#x2019;s perceptions of current news cannot be underestimated. Corporate reputation provides conditions for eliminating adverse situations with the help of the public&#x2019;s mindset. Therefore, with the enhancement of public awareness of environmental protection, environmental information disclosure has gradually become an important means for enterprises to perform environmental protection duties and create a better image. <xref ref-type="bibr" rid="B15">Godfrey et al. (2009)</xref> pointed out that although this corporate reputation capital reflecting social morality could not directly bring benefits to the change in corporate capital stock and related transactions, it could play a role similar to insurance when enterprises are faced with adverse events. In other words, corporate reputation capital formed by environmental information disclosure can affect the public&#x2019;s subjective judgment of negative corporate news (for example, that corporate executives are just &#x201c;doing bad things with good intentions&#x201d;), delay the time and impact of adverse corporate information entering stock prices, and be able to deal with current problems and reduce the degree of &#x201c;sanctions&#x201d; (massive stock selling) (<xref ref-type="bibr" rid="B15">Godfrey et al., 2009</xref>).</p>
</list-item>
</list>
</p>
<p>
<statement content-type="hypothesis" id="hypothesis_1">
<label>Hypothesis 1:</label>
<p>There is a significant negative correlation between environmental information disclosure and stock price crash risk.</p>
<p>In the relationship between environmental information disclosure and stock price crash risk, both the ex ante information transmission effect and the ex post reputation guarantee effect include the process of information transmission from enterprises to capital markets (investors). In this process, the information intermediary plays a vital role. Existing studies show that the media (<xref ref-type="bibr" rid="B10">Fang and Peress, 2009</xref>) play important information intermediary functions in the capital market.</p>
<p>
<xref ref-type="bibr" rid="B10">Fang and Peress (2009)</xref> pointed out that the media have the function of information collection and dissemination, which improves the information available to investors. In the context of the extensive use of internet information technology in capital markets, media as information intermediaries play an increasingly critical role (<xref ref-type="bibr" rid="B40">Strycharz et al., 2018</xref>). In the process of continuous emphasis on and improvement of ecological civilization construction, enterprise-related environmental protection information has gradually become a hot topic of media reports. Therefore, it can be predicted that corporate environmental information disclosure will cause an increase in media attention; that is, corporate environmental information disclosure may be positively correlated with media attention. Existing studies show that the media can reduce the risk of stock price crashes from many aspects, including alleviating the internal and external information asymmetry of the company, improving the efficiency of the capital market, reducing the time and space for executives to hide negative news, and improving public opinion supervision to alleviate the executive agency problem. In conclusion, environmental disclosure may reduce the risk of stock price crashes by increasing media coverage.</p>
</statement>
</p>
<p>
<statement content-type="hypothesis" id="hypothesis_2">
<label>Hypothesis 2:</label>
<p>In the relationship between environmental information disclosure and stock price crash risk, media coverage plays a mediating role.</p>
</statement>
</p>
</sec>
<sec id="s3">
<title>3 Data and methodology</title>
<sec id="s3-1">
<title>3.1 Data</title>
<p>This paper uses unbalanced panel data of 2,446 listed firms from 2013&#x2013;2018. The shareholding data of institutional investors are obtained from the WIND database, media coverage is obtained from the Baidu News search index, and the remaining data are obtained from the CSMAR database. In November 2012, the 18th National Congress included ecological civilization construction in the &#x201c;five-in-one&#x201d; overall layout of the socialist cause with Chinese characteristics. Since then, enterprises&#x2019; participation in environmental protection has attracted wide attention. Drawing on his ideas, the samples selected in this paper started in 2013. As a rule, the research samples are processed as follows: 1) Abnormal samples such as <inline-formula id="inf1">
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</inline-formula> are removed; 2) the financial industry is removed; 3) samples with missing variables are removed; and 4) to avoid the influence of outliers, winsorization is carried out on all continuous variables at the 1% and 99% levels.</p>
</sec>
<sec id="s3-2">
<title>3.2 Variable definitions</title>
<sec id="s3-2-1">
<title>3.2.1 Dependent variable</title>
<p>Stock Price Crash Risk. The calculation process is as follows:</p>
<p>The following regression is performed on the weekly return rate of stock <italic>i</italic> by year:<disp-formula id="e1">
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> represents the return rate of stock <italic>i</italic> in week&#xa0;s, <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the market return rate weighted by the current market value in week&#xa0;<italic>s</italic>, and the unexplained part of <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is represented by the residual <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. To adjust the impact of non-synchronous trading, the two-period lead and two-period lag terms of market return are introduced in <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is defined as the firm-specific return of stock <italic>i</italic> in week&#xa0;s.</p>
<p>Based on the above indicators, the variables <italic>NCSKEW</italic> and <italic>DUVOL</italic> are constructed to reflect the crash risk of stock <italic>i</italic> in year&#xa0;<italic>t</italic>:<disp-formula id="e2">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:msup>
<mml:mo>&#x2211;</mml:mo>
<mml:msubsup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:msubsup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:munder>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mi>d</mml:mi>
</mml:munder>
<mml:msubsup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:munder>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mi>u</mml:mi>
</mml:munder>
<mml:msubsup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>n</italic> represents the number of weeks stock <italic>i</italic> was traded that year. In Eq. <xref ref-type="disp-formula" rid="e3">3</xref>, <inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of weeks in which the return rate of stock <italic>i</italic> is higher than the average weekly unique rate of return (<inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>). In the same way, <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> presents the number of weeks in which the return rate of stock <italic>i</italic> is below <inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>. The larger the value of <italic>NCSKEW</italic> and <italic>DUVOL</italic> is, the more inclined the return distribution is to the left, indicating that the risk of a stock price crash is higher.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Independent variable</title>
<p>Environmental Information Disclosure. The disclosure of environmental protection targets in the Environmental Research Database of CSMAR China Listed Firms is selected as the proxy variable for environmental information disclosure. If the environmental protection targets are disclosed by enterprises, the value is 1; otherwise, it is 0. <xref ref-type="bibr" rid="B17">Hao and Su (2014)</xref> pointed out that whether to disclose important information is an important way to measure information in existing studies. In view of this, some scholars take the binary variable of whether to disclose relevant information as the measurement method of environmental information disclosure (<xref ref-type="bibr" rid="B42">Tao et al., 2020</xref>). This paper draws on its ideas and selects whether to disclose environmental protection goals as a proxy variable for environmental information disclosure.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Mechanism variables</title>
<p>Media coverage (<inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). For each listed firm, the number of times the company&#x2019;s stock name appears in news search engines is counted according to the year, and the corresponding number of news reports is output and processed by logarithm.</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Control variables</title>
<p>Based on the literature, the following variables are selected for control: market return (<inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), market volatility (<inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), stock turnover rate (<inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), current negative skewness return coefficient (<inline-formula id="inf16">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), return on total assets (<inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), audit quality (<inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), operating revenue growth rate (<inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), share ratio of the largest shareholder (<inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), book to market ratio (<inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), firm size (<inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), corporate transparency (<inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), and debt asset ratio (<inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). Specific variable definitions are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Variable definitions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Name</th>
<th align="center">Variable</th>
<th align="center">Definitions</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Stock Price Crash Risk</td>
<td align="center">
<inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">The negative skewness of weekly stock returns in year&#xa0;<italic>t&#x2b;1</italic>
</td>
</tr>
<tr>
<td align="center">
<inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">The volatility ratio of weekly stock returns in year&#xa0;<italic>t&#x2b;1</italic>
</td>
</tr>
<tr>
<td align="center">Environmental Information Disclosure</td>
<td align="center">
<inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Whether the company discloses environmental goals in year&#xa0;<italic>t</italic>
</td>
</tr>
<tr>
<td align="center">Media coverage</td>
<td align="center">
<inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Log (<italic>number of news articles on Baidu &#x2b; 1</italic>)</td>
</tr>
<tr>
<td align="center">market returns</td>
<td align="center">
<inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Average weekly holding return of stock <italic>i</italic> in year&#xa0;<italic>t</italic>
</td>
</tr>
<tr>
<td align="center">market volatility</td>
<td align="center">
<inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mi>t</mml:mi>
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</td>
<td align="center">Standard deviation of stock holdings in year&#xa0;<italic>t</italic>
</td>
</tr>
<tr>
<td align="center">Stock turnover</td>
<td align="center">
<inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>n</mml:mi>
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<mml:mi>t</mml:mi>
</mml:msub>
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</inline-formula>
</td>
<td align="center">Average weekly turnover rate of stock <italic>i</italic> in year&#xa0;<italic>t</italic>
</td>
</tr>
<tr>
<td align="center">Negative skewness coefficient of return</td>
<td align="center">
<inline-formula id="inf32">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">The negative skewness of weekly stock returns in year&#xa0;<italic>t</italic>
</td>
</tr>
<tr>
<td align="center">Return on total assets</td>
<td align="center">
<inline-formula id="inf33">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Net profit/total assets</td>
</tr>
<tr>
<td align="center">Growth rate of operating income</td>
<td align="center">
<inline-formula id="inf34">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>r</mml:mi>
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<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">(Current year operating income&#x2014;last year operating income)/last year operating income</td>
</tr>
<tr>
<td align="center">Debt asset ratio</td>
<td align="center">
<inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Total assets/total liabilities</td>
</tr>
<tr>
<td align="center">Share ratio of the largest shareholder</td>
<td align="center">
<inline-formula id="inf36">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mi>s</mml:mi>
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<mml:mi>t</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">The number of shares held by the largest shareholder/the total capital stock of the enterprise</td>
</tr>
<tr>
<td align="center">Book to market ratio</td>
<td align="center">
<inline-formula id="inf37">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Market value/book value of equity</td>
</tr>
<tr>
<td align="center">Firm size</td>
<td align="center">
<inline-formula id="inf38">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">The natural log of total enterprise assets</td>
</tr>
<tr>
<td align="center">corporate transparency</td>
<td align="center">
<inline-formula id="inf39">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Correct the absolute value of the residual of the Jones model</td>
</tr>
<tr>
<td align="center">Audit quality</td>
<td align="center">
<inline-formula id="inf40">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Whether the company is audited by a Big Four accounting firm</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Model specification</title>
<p>To explore the impact of information environmental disclosure on stock price crashes, this paper refers to the common practice of the literature of delaying all independent variables by one period and constructs the following model:<disp-formula id="e4">
<mml:math id="m44">
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
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<mml:mn>1</mml:mn>
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<mml:msub>
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<mml:mi>s</mml:mi>
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<mml:mrow>
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<mml:mi>t</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
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</mml:mrow>
<mml:mrow>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
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<mml:mn>2</mml:mn>
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<mml:msub>
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</mml:msub>
<mml:msub>
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</mml:mrow>
</mml:msub>
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<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
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<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
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<mml:mo>&#x2211;</mml:mo>
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<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
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<mml:msub>
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<mml:mrow>
<mml:mi>i</mml:mi>
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<mml:mi>t</mml:mi>
</mml:mrow>
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<label>(5)</label>
</disp-formula>where the dependent variables are the negative skewness coefficient of the return rate (<italic>NCSKEW</italic>) and the fluctuation of the return rate (<italic>DUVOL</italic>) in period <italic>t</italic> &#x2b;1. The higher the value, the higher the risk of stock price crashes. The right side shows the independent variables in period <italic>t</italic>. This paper focuses on the significance level of &#x3b2;. Controls include all the control variables in <xref ref-type="table" rid="T1">Table 1</xref>. Additionally, year and industry are controlled. In addition, considering that the environmental information disclosure of enterprises will be affected by the environmental quality status and environmental protection policies of different provinces, this paper also controls the province dummy variable.</p>
<p>To explore the mediating effect of analyst attention and media coverage, the following model was constructed by referring to the three-step method proposed by <xref ref-type="bibr" rid="B3">Baron and Kenny (1986)</xref>:<disp-formula id="e6">
<mml:math id="m46">
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<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
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<mml:mrow>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
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<mml:msub>
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<mml:mi>D</mml:mi>
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</mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
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<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
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<mml:mi>n</mml:mi>
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<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
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<label>(6)</label>
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<disp-formula id="e7">
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
<mml:msub>
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<mml:msub>
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<label>(7)</label>
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
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<mml:mrow>
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<mml:mo>&#x3d;</mml:mo>
<mml:msub>
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<label>(9)</label>
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<disp-formula id="e10">
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</p>
</sec>
<sec id="s3-4">
<title>3.4 Summary</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> reports descriptive statistics for the full sample. As shown in <xref ref-type="table" rid="T2">Table 2</xref>, the mean values of NCSKEW and DUVOL are &#x2212;0.226 and &#x2212;0.0857, and the standard deviations are 0.660 and 0.458, respectively. The mean value of the core explanatory variable Environmental Information Disclosure (CEID) is 0.1.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">Obs</th>
<th align="center">Mean</th>
<th align="center">SD</th>
<th align="center">Min</th>
<th align="center">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<inline-formula id="inf41">
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<td align="center">0.660</td>
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<tr>
<td align="center">
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<td align="center">9,165</td>
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<tr>
<td align="center">
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<td align="center">9,165</td>
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<td align="center">
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<td align="center">9,165</td>
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<td align="center">
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<td align="center">9,165</td>
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<td align="center">
<inline-formula id="inf47">
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<td align="center">9,165</td>
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<td align="center">
<inline-formula id="inf48">
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<td align="center">9,165</td>
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<td align="center">9,165</td>
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<td align="center">9,165</td>
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<td align="center">9,165</td>
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<td align="center">
<inline-formula id="inf54">
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<inline-formula id="inf55">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">9,165</td>
<td align="center">0.0569</td>
<td align="center">0.0568</td>
<td align="center">0</td>
<td align="center">0.268</td>
</tr>
<tr>
<td align="center">
<inline-formula id="inf56">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">9,165</td>
<td align="center">0.0439</td>
<td align="center">0.205</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Analysis of empirical results</title>
<sec id="s4-1">
<title>4.1 Environmental information disclosure and stock price collapse: A basic regression test</title>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> reports the regression results of environmental disclosure and stock price collapse. Taking Column (3) and Column (4) as examples, regardless of whether <inline-formula id="inf57">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> or <inline-formula id="inf58">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is taken as the dependent variable, the coefficients of environmental information disclosure are &#x2212;0.063 and &#x2212;0.035, respectively, which are significant at the 1% and 5% statistical levels, respectively. This illustrates that compared with enterprises without environmental information disclosure, environmental information disclosure reduces the risk of a stock price crash, and the probability of such a crash decreases by 6.3% and 3.5%, respectively. There is a negative relationship between corporate environmental information disclosure and stock price overvaluation, indicating that the corporate disclosure of environmental goals can significantly reduce the risk of stock price crashes, which verifies <xref ref-type="statement" rid="hypothesis_1">Hypothesis 1</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Basic regression results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf59">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf60">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf61">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf62">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf63">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.082&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.042&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.063&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.035&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.023)</td>
<td align="center">(0.016)</td>
<td align="center">(0.023)</td>
<td align="center">(0.016)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf64">
<mml:math id="m74">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">12.155&#x2a;&#x2a;&#x2a;</td>
<td align="center">5.961&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(1.032)</td>
<td align="center">(0.722)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf65">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.859&#x2a;</td>
<td align="center">&#x2212;1.176&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.503)</td>
<td align="center">(0.342)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf66">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.036&#x2a;</td>
<td align="center">&#x2212;0.007</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.019)</td>
<td align="center">(0.013)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf67">
<mml:math id="m77">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.066&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.041&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.011)</td>
<td align="center">(0.007)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf68">
<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.127</td>
<td align="center">0.254&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.129)</td>
<td align="center">(0.084)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf69">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.016</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.016)</td>
<td align="center">(0.011)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf70">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.001</td>
<td align="center">0.030</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.044)</td>
<td align="center">(0.030)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf71">
<mml:math id="m81">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.001&#x2a;</td>
<td align="center">&#x2212;0.000</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.000)</td>
<td align="center">(0.000)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf72">
<mml:math id="m82">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.019</td>
<td align="center">0.037</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.037)</td>
<td align="center">(0.025)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf73">
<mml:math id="m83">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.026&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.024&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.008)</td>
<td align="center">(0.005)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf74">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.115</td>
<td align="center">&#x2212;0.088</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.122)</td>
<td align="center">(0.080)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf75">
<mml:math id="m85">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.017</td>
<td align="center">0.025</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.036)</td>
<td align="center">(0.023)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf76">
<mml:math id="m86">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.181</td>
<td align="center">0.465&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.179)</td>
<td align="center">(0.119)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf77">
<mml:math id="m87">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf78">
<mml:math id="m88">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf79">
<mml:math id="m89">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf80">
<mml:math id="m90">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf81">
<mml:math id="m91">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0699</td>
<td align="center">0.1271</td>
<td align="center">0.0937</td>
<td align="center">0.1403</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively. The first two columns do not consider control variables, and the last two columns introduce control variables.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Mechanism analysis</title>
<p>The empirical results above show that corporate information disclosure can reduce the risk of stock price crashes. Then, as the key information intermediaries in the capital market, what role do analysts and media play in the above effects? Therefore, this paper uses the three-step method to analyze whether corporate environmental information disclosure has an impact on stock price crash risk through the mediating role of analyst attention and media attention.</p>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> reports the mediating effect test results of media coverage. Column 1) tests whether environmental information disclosure has a significant impact on the mediating variable media attention, and the coefficient of <inline-formula id="inf82">
<mml:math id="m92">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is 0.294, which is significant at the 1% level. The results show that environmental information disclosure significantly promotes an increase in media attention, which increases the probability by 29.4%. Columns (2) and (3) show the regression results of the benchmark model. Columns (4) and (5) report the regression results of a stock price crash on environmental information disclosure and media attention. The regression coefficient of environmental information disclosure is significantly negative, and the regression coefficient of media attention is also significantly negative. At the same time, the coefficient signs (positive and negative) meet the requirements of the intermediary effect, excluding the masking effect. In addition, to ensure the rigor of the results, the Sobel test and bootstrap test were conducted. The Z values of the Sobel test were &#x2212;3.931 and &#x2212;1.995, respectively, which were significant at the 1% and 5% levels, and the indirect effects of the bootstrap test were significant at the 1% and 10% levels, respectively. In conclusion, there is a partial mediating effect of media attention on the negative relationship between environmental information disclosure and stock price crash risk, and the proportion of the total effect size is 8.87% (<inline-formula id="inf83">
<mml:math id="m93">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and 9.24% (<inline-formula id="inf84">
<mml:math id="m94">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), respectively, which confirms <xref ref-type="statement" rid="hypothesis_2">Hypothesis 2</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Mechanism analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="6" align="left">Media coverage</th>
</tr>
<tr>
<th align="left"/>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
<th align="center">(5)</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">
<inline-formula id="inf85">
<mml:math id="m95">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf86">
<mml:math id="m96">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf87">
<mml:math id="m97">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf88">
<mml:math id="m98">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf89">
<mml:math id="m99">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf90">
<mml:math id="m100">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.294&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.063&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.035&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.057&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.032&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.063)</td>
<td align="center">(0.023)</td>
<td align="center">(0.016)</td>
<td align="center">(0.023)</td>
<td align="center">(0.016)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf91">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.019&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.011&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.004)</td>
<td align="center">(0.003)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf92">
<mml:math id="m102">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf93">
<mml:math id="m103">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.603</td>
<td align="center">0.181</td>
<td align="center">0.465&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.170</td>
<td align="center">0.459&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.482)</td>
<td align="center">(0.179)</td>
<td align="center">(0.119)</td>
<td align="center">(0.179)</td>
<td align="center">(0.119)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf94">
<mml:math id="m104">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf95">
<mml:math id="m105">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf96">
<mml:math id="m106">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf97">
<mml:math id="m107">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf98">
<mml:math id="m108">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1905</td>
<td align="center">0.0937</td>
<td align="center">0.1403</td>
<td align="center">0.0959</td>
<td align="center">0.1419</td>
</tr>
<tr>
<td rowspan="2" align="left">Bootstrap (<italic>reps &#x3d; 500</italic>)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.007&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.002&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.002)</td>
<td align="center">(0.001)</td>
</tr>
<tr>
<td align="left">Sobel Z value</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;3.931&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.995&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3">
<title>4.3 Robustness tests</title>
<sec id="s4-3-1">
<title>4.3.1 Instrumental variable method</title>
<p>The purpose of this paper is to investigate the causal relationship between environmental information disclosure and stock price crash risk. Although all explanatory variables are lagged by one period, the endogeneity problem may not be completely excluded. First, companies have the motivation to disclose environmental information for the purpose of improving their reputational capital and reducing the risk of stock price crashes, resulting in reverse causality. Second, the analysis of this paper may ignore some factors that are difficult to measure, such as system construction and policy support, which inevitably lead to the omission of variables. Therefore, this paper refers to the practice of (<xref ref-type="bibr" rid="B49">Ye et al., 2015</xref>) and chooses the industry mean (<inline-formula id="inf99">
<mml:math id="m109">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>) of environmental information disclosure in the same region (province) in the same year as the instrumental variable of environmental information disclosure (<inline-formula id="inf100">
<mml:math id="m110">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). Instrumental variables need to satisfy both correlation and exogeneity conditions. On the one hand, according to relevant studies, corporate environmental information disclosure has the same group effect, indicating that the level of information disclosure at the industry level will inevitably affect the information disclosure decision at the company level, ensuring that the original endogenous explanatory variables and instrumental variables have a strong correlation. On the other hand, the mean of environmental information disclosure in the same industry (<inline-formula id="inf101">
<mml:math id="m111">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>) is less likely to directly affect the stock price crash risk of individual enterprises, which ensures the exogeneity of this instrumental variable.</p>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> reports the regression results of the instrumental variables. In the first-stage regression, the regression coefficient of the mean value of the environmental information disclosure industry is 0.993, which is significant at the 1% level, indicating that the instrumental variables are highly correlated with the endogenous explanatory variables. The F value in the first stage was 58.33, much greater than 10, which excluded the null hypothesis of &#x201c;weak instrumental variables&#x201d;. According to the two-stage regression results, the regression coefficient of environmental information disclosure is significantly negative, which is consistent with the basic regression, proving that the results of this paper are robust. In addition, this paper also reports a more stringent Anderson-Rubin Wald test, which rejects the null hypothesis that the sum of endogenous regression coefficients is equal to 0 at the significance level of 5% and 10%, respectively, which further illustrates the strong correlation between instrumental variables and endogenous explanatory variables.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>IV-test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">First-stage</th>
<th colspan="2" align="center">Seconde-stage</th>
</tr>
<tr>
<th align="left"/>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">
<inline-formula id="inf102">
<mml:math id="m112">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf103">
<mml:math id="m113">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf104">
<mml:math id="m114">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf105">
<mml:math id="m115">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.993&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.013)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf106">
<mml:math id="m116">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="center">&#x2212;0.079&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.040&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="center">(0.035)</td>
<td align="center">(0.024)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf107">
<mml:math id="m117">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf108">
<mml:math id="m118">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.243&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.178</td>
<td align="center">0.465&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.065)</td>
<td align="center">(0.180)</td>
<td align="center">(0.121)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf109">
<mml:math id="m119">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf110">
<mml:math id="m120">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf111">
<mml:math id="m121">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf112">
<mml:math id="m122">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
<td align="center">9,165</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf113">
<mml:math id="m123">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.4309</td>
<td align="center">0.0936</td>
<td align="center">0.1403</td>
</tr>
<tr>
<td align="left">Fist stage F value</td>
<td align="center">58.33</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>Cragg-Donald Wald F</italic>
</td>
<td align="center">6305.813</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>Anderson-Rubin Wald</italic>
</td>
<td align="left"/>
<td align="center">5.09(<italic>p</italic> &#x3d; 0.0241)</td>
<td align="center">2.81 (<italic>p</italic> &#x3d; 0.0937)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Propensity score matching</title>
<p>Due to the differences in the characteristics of different enterprises, it is impossible to exclude the possibility that the two types of samples (with and without environmental information disclosure) show different stock price crash risks due to the inherent characteristics of enterprises, resulting in sample selection bias. For example, the mean size (<inline-formula id="inf114">
<mml:math id="m124">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>22.61</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) of sample firms that disclose environmental information is greater than that of firms that do not disclose environmental information (<inline-formula id="inf115">
<mml:math id="m125">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>22.15</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The literature has confirmed that firm size is negatively correlated with the risk of stock price crashes. Therefore, to overcome the problem of sample selection bias, this paper adopts the propensity score matching (<italic>PSM</italic>) method to re-estimate the sample. <xref ref-type="bibr" rid="B18">Heckman et al. (1997)</xref> noted that for the selection of covariates in the first stage of the propensity score matching method (PSM), the inclusion of a small number of irrelevant variables has little impact on the results, but the omission of variables may cause serious bias. Therefore, to reduce artificial selectivity errors, all covariates in <xref ref-type="table" rid="T2">Table 2</xref> were included in the model, and logit regression was used to calculate propensity score values. To save space, the first-stage regression results are not listed.</p>
<p>In <xref ref-type="table" rid="T6">Table 6</xref>, the ATT results obtained by using the four matching methods are all negative, and the T values are all greater than 1.96 (5% significance level), indicating that environmental information disclosure still significantly inhibits the risk of stock price crashes after considering the sample selection bias, which proves that the results obtained in this paper are robust.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>PSM Results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th colspan="2" align="center">Methods</th>
<th align="center">Treatment</th>
<th align="center">Control</th>
<th align="center">
<italic>ATT</italic>
</th>
<th align="center">Sd</th>
<th align="center">Tvalue</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="left">
<inline-formula id="inf116">
<mml:math id="m126">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td colspan="2" align="center">
<italic>Umatched</italic>
</td>
<td align="center">&#x2212;0.3164</td>
<td align="center">&#x2212;0.2163</td>
<td align="center">&#x2212;0.1001</td>
<td align="center">0.0229</td>
<td align="center">&#x2212;4.37</td>
</tr>
<tr>
<td rowspan="4" align="center">
<italic>Matched</italic>
</td>
<td align="center">neighbor</td>
<td align="center">&#x2212;0.3164</td>
<td align="center">&#x2212;0.2613</td>
<td align="center">&#x2212;0.0551</td>
<td align="center">0.0255</td>
<td align="center">&#x2212;2.16</td>
</tr>
<tr>
<td align="center">caliper</td>
<td align="center">&#x2212;0.3158</td>
<td align="center">&#x2212;0.2494</td>
<td align="center">&#x2212;0.0664</td>
<td align="center">0.0236</td>
<td align="center">&#x2212;2.81</td>
</tr>
<tr>
<td align="center">neighbor caliper</td>
<td align="center">&#x2212;0.3158</td>
<td align="center">&#x2212;0.2613</td>
<td align="center">&#x2212;0.0545</td>
<td align="center">0.0255</td>
<td align="center">&#x2212;2.14</td>
</tr>
<tr>
<td align="center">Core</td>
<td align="center">&#x2212;0.3164</td>
<td align="center">&#x2212;0.2367</td>
<td align="center">&#x2212;0.0797</td>
<td align="center">0.0234</td>
<td align="center">&#x2212;3.40</td>
</tr>
<tr>
<td rowspan="5" align="left">
<inline-formula id="inf117">
<mml:math id="m127">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td colspan="2" align="center">
<italic>Umatched</italic>
</td>
<td align="center">&#x2212;0.1320</td>
<td align="center">&#x2212;0.0806</td>
<td align="center">&#x2212;0.0514</td>
<td align="center">0.0159</td>
<td align="center">&#x2212;3.23</td>
</tr>
<tr>
<td rowspan="4" align="center">
<italic>Matched</italic>
</td>
<td align="center">neighbor</td>
<td align="center">&#x2212;0.1320</td>
<td align="center">&#x2212;0.0954</td>
<td align="center">&#x2212;0.0396</td>
<td align="center">0.0174</td>
<td align="center">&#x2212;2.10</td>
</tr>
<tr>
<td align="center">caliper</td>
<td align="center">&#x2212;0.1315</td>
<td align="center">&#x2212;0.0919</td>
<td align="center">&#x2212;0.0396</td>
<td align="center">0.0160</td>
<td align="center">&#x2212;2.48</td>
</tr>
<tr>
<td align="center">neighbor caliper</td>
<td align="center">&#x2212;0.1315</td>
<td align="center">&#x2212;0.0955</td>
<td align="center">&#x2212;0.0360</td>
<td align="center">0.0174</td>
<td align="center">&#x2212;2.07</td>
</tr>
<tr>
<td align="center">Core</td>
<td align="center">&#x2212;0.1320</td>
<td align="center">&#x2212;0.0871</td>
<td align="center">&#x2212;0.0449</td>
<td align="center">0.0159</td>
<td align="center">&#x2212;2.83</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively. In order to enhance the reliability of the research results, this paper selected: &#x2460; nearest neighbor matching (k &#x3d; 5) &#x2461; caliper matching (caliper &#x3d; 0.01) &#x2462; nearest neighbor caliper matching (k &#x3d; 5; caliper &#x3d; 0.01) &#x2463; core matching (default kernel function and bandwidth).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3-3">
<title>4.3.3 Substitution variable</title>
<p>This paper uses the following two methods to measure the risk of stock price crash.<list list-type="simple">
<list-item>
<p>(1) Referring to the method of <xref ref-type="bibr" rid="B5">Callen and Fang (2015)</xref>, the stock price crash risk is measured by the difference between the frequency of downward and upward occurrence of the weekly specific return rate of a company&#x2019;s stock. The calculation process is as follows:</p>
</list-item>
</list>
</p>
<p>First, the weekly specific return rate in the downward phase is defined as:<disp-formula id="e11">
<mml:math id="m128">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>&#x2203;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3.09</mml:mn>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where, <inline-formula id="inf118">
<mml:math id="m129">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>&#xb7;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the indicator function, indicating that when stock <italic>i</italic> satisfies the above inequality in week&#xa0;<italic>s</italic>, the value of the variable is 1; otherwise, it is 0. <inline-formula id="inf119">
<mml:math id="m130">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the standard deviation of the stock s&#xa0;week specific return (<inline-formula id="inf120">
<mml:math id="m131">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), and the standard deviation of 3.09 corresponds to the region, where the probability of normal distribution is less than 1%.</p>
<p>Similarly, the weekly specific rate of return in the upward phase is defined as:<disp-formula id="e12">
<mml:math id="m132">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>&#x2203;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.09</mml:mn>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>Finally, the frequencies of <inline-formula id="inf121">
<mml:math id="m133">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf122">
<mml:math id="m134">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of stock <italic>i</italic> in year&#xa0;<italic>t</italic> are successively counted, and the difference between the two frequencies (<inline-formula id="inf123">
<mml:math id="m135">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>) is obtained. The result is expressed as <inline-formula id="inf124">
<mml:math id="m136">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; the larger the value is, the higher the probability of a stock price crash.<list list-type="simple">
<list-item>
<p>(2) Referring to the research of (<xref ref-type="bibr" rid="B4">Bennett B et al., 2020</xref>) the mean of the sum of the next three periods of the explained variables (<inline-formula id="inf125">
<mml:math id="m137">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) is taken as a surrogate variable to measure the risk of a stock price crash. Considering that the future stock price crash risk will not affect the current information disclosure level, this method can somewhat avoid the endogeneity problem caused by reverse causality.</p>
</list-item>
</list>
</p>
<p>Columns (1) and (2) in <xref ref-type="table" rid="T7">Table 7</xref> report the regression results of another calculation method <inline-formula id="inf126">
<mml:math id="m138">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Columns (3)&#x2013;(6) report the regression results of the mean values (<inline-formula id="inf127">
<mml:math id="m139">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf128">
<mml:math id="m140">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>) in the next three periods. In this table, Columns (1), (3) and (5) do not add control variables. The remaining columns are the results of adding control variables. It can be seen that the sign of the core explanatory variable in this paper does not change after the addition of control variables, and the results of stock price crash risk measured in any way are significantly negative, proving that the results of this paper are robust.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Substitution variable.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">1)</th>
<th align="center">2)</th>
<th align="center">3)</th>
<th align="center">4)</th>
<th align="center">5)</th>
<th align="center">6)</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="center">
<inline-formula id="inf129">
<mml:math id="m141">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf130">
<mml:math id="m142">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf131">
<mml:math id="m143">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf132">
<mml:math id="m144">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf133">
<mml:math id="m145">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf134">
<mml:math id="m146">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf135">
<mml:math id="m147">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;1.079&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.826&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.077&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.058&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.037&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.032&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center"/>
<td align="center">(0.281)</td>
<td align="center">(0.280)</td>
<td align="center">(0.020)</td>
<td align="center">(0.020)</td>
<td align="center">(0.014)</td>
<td align="center">(0.014)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf136">
<mml:math id="m148">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf137">
<mml:math id="m149">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;41.893&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;38.946&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.406&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.444&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.133&#x2a;&#x2a;</td>
<td align="center">0.558&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center"/>
<td align="center">(1.118)</td>
<td align="center">(2.320)</td>
<td align="center">(0.089)</td>
<td align="center">(0.173)</td>
<td align="center">(0.053)</td>
<td align="center">(0.117)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf138">
<mml:math id="m150">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf139">
<mml:math id="m151">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf140">
<mml:math id="m152">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf141">
<mml:math id="m153">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">6,358</td>
<td align="center">6,358</td>
<td align="center">4,347</td>
<td align="center">4,347</td>
<td align="center">4,347</td>
<td align="center">4,347</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf142">
<mml:math id="m154">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.3470</td>
<td align="center">0.3578</td>
<td align="center">0.0668</td>
<td align="center">0.0946</td>
<td align="center">0.1184</td>
<td align="center">0.1416</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Further analysis</title>
<sec id="s5-1">
<title>5.1 Does environmental information disclosure have a supervisory effect?</title>
<p>According to agent theory, if the internal supervision level of the enterprise is weak, there is a higher probability that management will negative news out of self-interest, exacerbating the risk of stock price crashes. Then, as a type of non-financial information disclosure, does environmental information disclosure have an inherent supervisory effect and reduce principal-agent problems? that is, does it play a role in reducing the risk of stock price crashes by reducing the likelihood that executives will hide negative news? To answer the above questions, we reference the ideas of <xref ref-type="bibr" rid="B50">Zhu et al. (2020)</xref>, and the proportion of independent directors of a company is selected as a proxy variable for the characteristics of the board of directors for the group test. The logic is as follows: the board of directors system is the basis for the supervision of the management of listed companies. If the proportion of independent directors is low, it means that the company&#x2019;s senior executives have more rights and less resistance to pursuing egotistical goals; in this case, the probability of hiding negative news increases, which leads to agency problems and increases the risk probability of stock price crashes. If environmental information disclosure has a supervisory effect on company executives, it should be a powerful supplement to the management of the company as independent directors. Therefore, we focus on whether environmental disclosure can play a complementary role when independent directors fail to implement effective supervision. In other words, does environmental information disclosure have a stronger effect on reducing the risk of stock price crashes for companies with a low supervision effect of independent directors?</p>
<p>According to whether the proportion of independent directors of listed firms is greater than the annual industry median, the samples are divided into two categories: a high proportion of independent directors and a low proportion of independent directors. According to <xref ref-type="table" rid="T8">Table 8</xref>, for firms with a high proportion of independent directors, the regression coefficients of stock price crash risk <inline-formula id="inf143">
<mml:math id="m155">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf144">
<mml:math id="m156">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on environmental information disclosure <inline-formula id="inf145">
<mml:math id="m157">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are not significant. In contrast, in the group with a low proportion of independent directors, the regression coefficients of environmental information disclosure are significant at the 5% and 10% levels. The above results show that when the proportion of independent directors is low, environmental information disclosure can reduce the risk of stock price crashes. In other words, environmental information disclosure can be used as an effective supplement to the internal supervision of the company.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Environmental information disclosure and board characteristics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">Low proportion of independent directors</th>
<th colspan="2" align="center">High proportion of independent directors</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">
<inline-formula id="inf146">
<mml:math id="m158">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf147">
<mml:math id="m159">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf148">
<mml:math id="m160">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf149">
<mml:math id="m161">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf150">
<mml:math id="m162">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.076&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.039&#x2a;</td>
<td align="center">&#x2212;0.043</td>
<td align="center">&#x2212;0.030</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.031)</td>
<td align="center">(0.021)</td>
<td align="center">(0.038)</td>
<td align="center">(0.025)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf151">
<mml:math id="m163">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf152">
<mml:math id="m164">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf153">
<mml:math id="m165">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">5,025</td>
<td align="center">5,025</td>
<td align="center">3,926</td>
<td align="center">3,926</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf154">
<mml:math id="m166">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1019</td>
<td align="center">0.1463</td>
<td align="center">0.1061</td>
<td align="center">0.1687</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-2">
<title>5.2 Is environmental information disclosure a resource competition tool?</title>
<p>Although the above analysis does not distinguish between the motivations for environmental information disclosure, but the actual effect of environmental actions implemented by enterprises may vary greatly depending on the different motivations. Previous studies have shown that the motivations for enterprise information disclosure are restricted by industry competition (<xref ref-type="bibr" rid="B39">Stivers, 2004</xref>). In fierce market competition, enterprises will fully disclose information to compete for limited resources in the capital market, improve the transparency of corporate information and reduce the cost of capital. In this case, if the competition for resources as the motivation for a company to disclose environmental information is low compared to the competition in the industry, the company in the highly competitive industry will not only increase its environmental information disclosures but will also enrich the contents of the disclosure. Such improvements in the quality of the environmental information disclosure and increases in the transparency of information can effectively reduce stock crash events.</p>
<p>Based on the above considerations, the division is conducted according to the median Herfindahl-Hirschman index (<inline-formula id="inf155">
<mml:math id="m167">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) of the overall annual industry. If higher than <inline-formula id="inf156">
<mml:math id="m168">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the competition pressure of the industry is low. Otherwise, it means higher competitive pressure in the industry. <xref ref-type="table" rid="T9">Table 9</xref> reports the empirical results. The regression coefficients of stock price crash risk and environmental information disclosure measured by <inline-formula id="inf157">
<mml:math id="m169">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are &#x2212;0.069 in the low-competition industry and &#x2212;0.066 in the high-competition industry, both of which are significant at the 5% significance level. The regression coefficients of <inline-formula id="inf158">
<mml:math id="m170">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on environmental information disclosure measured by stock price crash risk are &#x2212;0.044 and &#x2212;0.034, respectively. Although the coefficient in the last column is not significant, on the whole, no matter how the stock price crash risk is measured, environmental information disclosure has a more significant effect on reducing the stock price crash risk in low-competition industries, indicating that environmental information disclosure is not a self-interested tool for companies to compete for resources.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Motivation of environmental information disclosure.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">Low industry competitive pressure</th>
<th colspan="2" align="center">High industry competitive pressure</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">
<inline-formula id="inf159">
<mml:math id="m171">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf160">
<mml:math id="m172">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf161">
<mml:math id="m173">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf162">
<mml:math id="m174">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf163">
<mml:math id="m175">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.069&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.044&#x2a;</td>
<td align="center">&#x2212;0.066&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.034</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.035)</td>
<td align="center">(0.023)</td>
<td align="center">(0.031)</td>
<td align="center">(0.021)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf164">
<mml:math id="m176">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf165">
<mml:math id="m177">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf166">
<mml:math id="m178">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">4,352</td>
<td align="center">4,352</td>
<td align="center">4,813</td>
<td align="center">4,813</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf167">
<mml:math id="m179">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0840</td>
<td align="center">0.1495</td>
<td align="center">0.1127</td>
<td align="center">0.1429</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-3">
<title>5.3 Environmental information disclosure, institutional investor shareholding and stock price crash risk</title>
<p>According to stakeholder theory, the enterprise is an institutional arrangement of specialized investment in intelligence and management. The survival and development of the enterprise depend on the quality of the enterprise&#x2019;s response to the interest requirements of various stakeholders, not just on shareholders. The above analysis does not consider the reaction of other stakeholders to environmental information disclosure. As important shareholders of companies, institutional investors have attracted increasing attention regarding the impact of stock price crash risk. Therefore, this paper analyzes the impact of other stakeholders&#x2019; reactions on new environmental information disclosure from the perspective of institutional investors, which not only helps us understand the role of other stakeholders in &#x201c;environmental information disclosure-stock price crash risk&#x201d; from the theoretical level but also provides a reference for regulators to specify relevant decisions. The existing literature has shown that institutional investors affect the relationship between environmental information disclosure and stock price crashes from at least two paths. 1) The motivation of governance. With the increase in the shareholding ratio of institutional investors, the motivation of institutional investors to carry out active behaviors is enhanced, which makes institutional investors carry out supervision and governance behaviors to avoid the benefit loss caused by information asymmetry. Existing studies show that institutional investors have governance effects on the quality of corporate information disclosure (<xref ref-type="bibr" rid="B1">Aggarwal et al., 2011</xref>), which can improve the accuracy, timeliness and robustness of information disclosure, thereby increasing information transparency and reducing the risk of stock price crashes. Therefore, from the perspective of governance motivation, we believe that an increase in the shareholding ratio of institutional investors will promote the negative effect of new environmental information disclosure on the risk of stock price crashes. 2) Profit motive. <xref ref-type="bibr" rid="B23">Jiang and Kim (2015)</xref> pointed out that institutional investors in China have a significant short-term investment tendency. This means that environmental information disclosure may become a tool for institutional investors to make profits; that is, by increasing the number of disclosures or exaggerating positive news, investors will overreact to information and make wrong investment decisions, which will further promote short-term stock price bubbles. However, this type of bubble is not sustainable. As negative news enters the market, investors will panic, and the probability of stock prices falling sharply will increase, which eventually leads to a stock price crash. Therefore, from the perspective of profit motives, an increase in the shareholding ratio of institutional investors may inhibit the negative effect of environmental information disclosure on the risk of stock price crashes.</p>
<p>To verify the above problems, we introduce the interaction term between environmental information disclosure and the shareholding ratio of institutional investors, and <xref ref-type="table" rid="T10">Table 10</xref> reports the results. It can be seen that the interaction term between the two is significantly positive, which is contrary to the sign of environmental information disclosure, reflecting that institutional investors&#x2019; shareholding inhibits the negative effect of environmental information disclosure on stock price crash risk; thus, the above profit-motive hypothesis is verified.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Analysis based on the perspective of institutional investors&#x2019; shareholding ratio.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">
<inline-formula id="inf168">
<mml:math id="m180">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf169">
<mml:math id="m181">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf170">
<mml:math id="m182">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.146&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.094&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.053)</td>
<td align="center">(0.035)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf171">
<mml:math id="m183">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.002&#x2a;</td>
<td align="center">0.001&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.001)</td>
<td align="center">(0.001)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf172">
<mml:math id="m184">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.001&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.000&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.000)</td>
<td align="center">(0.000)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf173">
<mml:math id="m185">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf174">
<mml:math id="m186">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf175">
<mml:math id="m187">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">4,352</td>
<td align="center">4,352</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf176">
<mml:math id="m188">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0840</td>
<td align="center">0.1495</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-4">
<title>5.4 Environmental information disclosure, government environmental governance and stock price crash risk</title>
<p>Finally, in view of the framework of &#x201c;environmental information disclosure-stock price crash risk,&#x201d; this part conducts research by embedding the environmental governance elements of the government from a macro perspective. Referring to the research of (<xref ref-type="bibr" rid="B6">Chen and Chen, 2018</xref>), the total frequency of environmental words in provincial government work reports and the total frequency of words in the report were used to measure the intensity of government environmental governance. Based on the intensity of environmental governance, group processing was conducted (adopting 3 quantiles), and the regression test of Eq. <xref ref-type="disp-formula" rid="e4">4</xref> was conducted again. The empirical results are shown in <xref ref-type="table" rid="T11">Table 11</xref>. In the interval where the government has a high level of environmental governance, environmental information disclosure has a good inhibitory effect on the risk of stock price crashes (the coefficient is negative, and both pass the 5% significance level test). Taking the last case as an example, in regions with higher levels of external governance, compared with enterprises without environmental information disclosure, the probability that enterprises with environmental information disclosure can reduce the risk of stock price crashes in the next year is 6.4%. In the group with low and medium levels of governance, only the regression coefficient of stock price crash risk, measured by <inline-formula id="inf177">
<mml:math id="m189">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on environmental information disclosure <inline-formula id="inf178">
<mml:math id="m190">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is significant. This indicates that a higher level of environmental governance is an important basic condition for environmental information disclosure to reduce the risk of stock price crashes.</p>
<table-wrap id="T11" position="float">
<label>TABLE 11</label>
<caption>
<p>Based on the perspective of government environmental governance.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Environmental governance</th>
<th colspan="2" align="center">Low</th>
<th colspan="2" align="center">Median</th>
<th colspan="2" align="center">High</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf179">
<mml:math id="m191">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf180">
<mml:math id="m192">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf181">
<mml:math id="m193">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf182">
<mml:math id="m194">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf183">
<mml:math id="m195">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf184">
<mml:math id="m196">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf185">
<mml:math id="m197">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">&#x2212;0.063&#x2a;</td>
<td align="center">&#x2212;0.036</td>
<td align="center">&#x2212;0.031</td>
<td align="center">0.006</td>
<td align="center">&#x2212;0.082&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.064&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.038)</td>
<td align="center">(0.027)</td>
<td align="center">(0.045)</td>
<td align="center">(0.029)</td>
<td align="center">(0.039)</td>
<td align="center">(0.027)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf186">
<mml:math id="m198">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf187">
<mml:math id="m199">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#x26;</mml:mo>
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<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x26;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf188">
<mml:math id="m200">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">3,382</td>
<td align="center">3,382</td>
<td align="center">2,763</td>
<td align="center">2,763</td>
<td align="center">3,020</td>
<td align="center">3,020</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf189">
<mml:math id="m201">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1051</td>
<td align="center">0.1586</td>
<td align="center">0.1323</td>
<td align="center">0.1836</td>
<td align="center">0.1099</td>
<td align="center">0.1487</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at 10, 5 and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s6">
<title>6 Conclusion and policy recommendations</title>
<p>Taking Chinese A-share listed firms from 2013&#x2013;2018 as the sample, this paper empirically tests the impact of environmental information disclosure on stock price crash risk. It is found that environmental information disclosure is significantly negatively correlated with estimated crash risk, and this result is still significant after using instrumental variables, propensity score matching (PSM), substitution variables and a series of other robustness tests. The mechanism analysis shows that media coverage has a mediating effect on the relationship between the two. Further analysis indicates that the characteristics of the board of directors, multilevel capital market, industry competition pressure, institutional investors&#x2019; shareholding ratio and the level of government environmental governance are important factors affecting the relationship between &#x201c;environmental information disclosure and stock price crash risk&#x201d;. This paper further opens the black box of non-financial information disclosure to improve the market information environment. The results also show that positive enterprise environmental information disclosure is not only beneficial to the construction of socialist ecological civilization but also has the effect of reducing the risk of stock price crash &#x201c;icing on the cake&#x201d;. It is of great practical significance to improve the information disclosure system, strengthen corporate governance, strengthen government environmental governance, and prevent systemic financial risks for regulatory departments and investors.<list list-type="simple">
<list-item>
<p>(1) Improve the information disclosure system. It is necessary to further improve the effective and feasible standards for the public disclosure of environmental information, including the release of disclosure guidelines covering the content range and format of environmental information, and put forward more targeted and refined requirements for environmental information disclosure to provide reference standards for enterprises to implement environmental information disclosure. Strengthen the supervision of environmental disclosure, establish and improve the punishment mechanism, and avoid the occurrence of &#x201c;more talk than action&#x201d; in the aspect of environmental responsibility of enterprises, which is conducive to improving the integrity, authenticity and comparability of corporate information, facilitating the selection of stakeholders, and effectively playing the role of participants in the capital market with active concern motivation in information intermediaries.</p>
</list-item>
<list-item>
<p>(2) News, newspapers and other media should be proactive and give full play to their role as an information intermediary. On the one hand, it is necessary to continuously explore and pay attention to the environmental information disclosed by enterprises, increase the exposure of enterprises&#x2019; environmental protection behaviors, attract the attention of external stakeholders to give enterprises greater pressure on environmental responsibility, and urge enterprises to disclose more valuable information. On the other hand, we should consider increasing the publicity of enterprises that earnestly fulfill their environmental responsibility, enhancing investors&#x2019; perception of such enterprises, providing potential impetus for enterprises to continue to implement environmental protection behaviors, making full use of the power of public opinion to form an environmental atmosphere in the whole society, and laying a solid foundation for the construction of ecological civilization.</p>
</list-item>
<list-item>
<p>(3) Regulatory authorities should focus on strengthening financial supervision, standardizing the financial supervision system, effectively improving the quality of environmental information disclosure of enterprises, and alleviating the adverse impact of the accumulation of stock price crash risk caused by the concealment of &#x201c;bad news&#x201d; by senior executives. On the one hand, it is necessary to continuously strengthen functional financial supervision, attach importance to and standardize the content and system of non-financial information disclosure of enterprises, take non-financial information disclosure systems as an effective supplement to the total loss absorption capacity supervision system, and jointly serve the stability construction of the Chinese capital market. On the other hand, for different market sectors and industry types, regulatory authorities can implement differentiated management policies. The results of this paper show that the impact of environmental information disclosure on stock price crash risk varies by sectors and industries under different competitive pressures, indicating that the &#x201c;one-size-fits-all&#x201d; regulatory scheme does not reflect the actual needs of different types of enterprises, so specific regulatory measures should be formulated for enterprises with different attributes. We should ensure that the capital market can better serve the development of the real economy through appropriate forecasting and classified intervention.</p>
</list-item>
<list-item>
<p>(4) For the government, it is necessary to continuously improve the level of environmental governance, lay a good foundation for enterprises to assume environmental responsibility and timely disclosure, make reasonable use of administrative means, and form a scientific, environmental governance system dominated by the government and enterprises. It is necessary to make good use of market-oriented means to give publicity, tax and preferential policies to those enterprises that actively undertake environmental protection responsibilities, send positive signals to the market, attract the attention of investors in the capital market and bring capital inflow, and provide a potential impetus for enterprises to actively undertake environmental protection responsibilities and improve environmental protection information disclosure.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>Conceptualization, YG and QC; methodology, YG, QC, and SQ; formal analysis, YG, QC, and SQ; writing&#x2014;original draft preparation, YG, QC, and SQ; writing&#x2014;review and editing, YG, QC, SQ and XK. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
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