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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">864335</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.864335</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>Research on the Impact of Deleveraging Policy on Enterprise Green Innovation: An Empirical Study in China</article-title>
<alt-title alt-title-type="left-running-head">Shen and He</alt-title>
<alt-title alt-title-type="right-running-head">Deleveraging Policy and Green Innovation</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Shen</surname>
<given-names>Dongyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1635901/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>He</surname>
<given-names>Wenjian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Development Institute of Jiangbei New Area</institution>, <institution>Nanjing University of Information Science &#x26; Technology</institution>, <addr-line>Nanjing</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/1142106/overview">Huaping Sun</ext-link>, Jiangsu University, China</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/1662144/overview">Zhengjie Chen</ext-link>, Nanjing University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1662226/overview">Zhangqi Zhong</ext-link>, Guangdong University of Foreign Studies, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1663189/overview">Miao Miao</ext-link>, South China University of Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Wenjian He, <email>hewenjian@126.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>11</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>864335</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Shen and He.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Shen and He</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>By optimizing enterprises&#x2019; capital structure, the deleveraging policy has a close relationship with green innovation. Taking the Opinions on Actively and Steadily Reducing Enterprise Leverage issued by the State Council of China in 2016 as an exogenous shock and utilizing the panel date of listed manufacturing enterprises in China from 2010 to 2019, this paper constructs a DID model and conducts a series of robustness tests, which quantitatively confirm that the deleveraging policy can play a positive role in improving enterprise green innovation. Furthermore, heterogeneity analysis reveals that the deleveraging policy can promote the application of green invention patents to a greater extent and has a greater effect on green innovation in state-owned enterprises, large-scale enterprises, technology-intensive enterprises, and enterprises in financially developed regions. Ultimately, the mechanism test confirms that the deleveraging policy provides long-term funds for enterprise green innovation by promoting enterprise equity financing. And with the strengthening of shareholders&#x2019; supervision and management, it also effectively ensures the stable development of green innovation.</p>
</abstract>
<kwd-group>
<kwd>deleveraging policy</kwd>
<kwd>green innovation</kwd>
<kwd>difference-in-differences model</kwd>
<kwd>mechanism analysis</kwd>
<kwd>heterogeneity</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Since the reform and opening up, China&#x2019;s economy has grown rapidly. However, the extensive economic development pattern has accelerated the energy consumption and increased pollution emissions, which restricted the sustainable development of economy and ecology (<xref ref-type="bibr" rid="B57">Wu et&#x20;al., 2020a</xref>; <xref ref-type="bibr" rid="B64">Zhao et&#x20;al., 2020</xref>). Therefore, it has become a hot topic to coordinate economic development and environmental protection. Existing studies show that green innovation can reduce enterprise pollution emission in productive activities and obtain economic benefits, which is an important way to break the dilemma of limited resources and polluted environment (<xref ref-type="bibr" rid="B30">Jens, 2008</xref>; <xref ref-type="bibr" rid="B1">Amore and Bennedsen, 2015</xref>; <xref ref-type="bibr" rid="B51">Song and Yu, 2017</xref>). In 2015, the State Council of China issued the <italic>Made in China 2025</italic> document, which listed green development as one of the basic strategies to enhance comprehensive national strength, and required manufacturing enterprises to build an efficient, clean, low-carbon, and circular green manufacturing system as soon as possible.</p>
<p>In fact, due to the high risk and uncertainty characteristics, green innovation often requires long-term and stable funds (<xref ref-type="bibr" rid="B25">Horbach et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B29">Huang and Li, 2015</xref>). Thus, enterprise financing ability is one of the key factors to ensure the stable capital investment of green innovation (<xref ref-type="bibr" rid="B60">Xiang et&#x20;al., 2021</xref>). Based on the pecking order theory, when internal financing cannot completely meet enterprises&#x2019; demand for funds, debt financing becomes the suboptimal choice of enterprises because it enables enterprises to allocate large capital flow with less cash (<xref ref-type="bibr" rid="B4">Bartoloni, 2013</xref>). However, to cope with the high leverage since the publication of <italic>Four Trillion Plan</italic> policy in 2008, the State Council of China issued the <italic>Opinions on Actively and Steadily Reducing Enterprise Leverage</italic> (<italic>OASREL</italic>) in 2016. The <italic>OASREL</italic> not only requires enterprises to accelerate the liquidation of debt arrears and reduce the scale of loans but also encourages enterprises to develop equity financing. Intuitively, the implementation of deleveraging policy will reduce enterprises&#x2019; debt funds and green innovation investment, which seems to have an adverse influence on enterprise green innovation.</p>
<p>Nevertheless, different from general innovation, green innovation has higher risk and uncertainty, which makes it difficult for enterprises to obtain economic benefits in the short term (<xref ref-type="bibr" rid="B60">Xiang et&#x20;al., 2021</xref>). Moreover, the intangible assets of knowledge capital produced by green innovation are also incapable to be utilized as collateral (<xref ref-type="bibr" rid="B38">Lindman and Sderholm, 2015</xref>). Therefore, creditors who pursue stable interest income are more sensitive to green innovation, which reduces the willingness of creditors on green innovation (<xref ref-type="bibr" rid="B8">Brown et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B28">Hsu et&#x20;al., 2014</xref>). That is, debt financing is probably not the main source of funds for green innovation, and the reduction of enterprise debt funds caused by deleveraging policy may not do substantial harm to green innovation. Moreover, the deleveraging policy promotes enterprise equity financing, whose investors generally pay more attention to long-term benefits of enterprises (<xref ref-type="bibr" rid="B16">Chen et&#x20;al., 2014</xref>). Under the background of rising demand for green development, green innovation can reduce production costs of enterprise, expand competitiveness, and increase profitability by giving green attributes to enterprise products (<xref ref-type="bibr" rid="B1">Amore and Bennedsen, 2015</xref>). Hence, equity investors will have stronger preferences for enterprise green innovation (<xref ref-type="bibr" rid="B8">Brown et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B7">Brown et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B9">Brown et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B62">Yang et&#x20;al., 2020</xref>), and the deleveraging policy will play a positive role in promoting enterprise green innovation.</p>
<p>In summary, the implementation of deleveraging policy could change the capital structure of enterprises and have a close relationship with enterprise green innovation. It is of great value to concentrate on the internal mechanism of the impact of deleveraging policy on enterprise green innovation. However, existing literature studies mainly focus on the macroeconomic effects of leverage ratio. Specifically, based on the financial deepening theory, some scholars confirm that the increase of leverage ratio is helpful to economic growth (<xref ref-type="bibr" rid="B33">Levine et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B67">Beck and Levine, 2004</xref>; <xref ref-type="bibr" rid="B32">Levine, 2005</xref>). Nevertheless, based on the debt-deflation theory, more researchers find that deleveraging reduces asset price, which increases credit constraints and improves financial volatility by using a fixed-effect model and generalized method of moments (<xref ref-type="bibr" rid="B48">Schularick and Taylor, 2012</xref>; <xref ref-type="bibr" rid="B12">Buttiglione et&#x20;al., 2014</xref>). Furthermore, some scholars incorporate these two theories into the same analytical framework. They confirm that increasing the leverage ratio can play a pulling role in economic growth in the early stage of development and have a negative impact on economic growth in the long run. In other words, the effect of deleveraging on economic growth shows an inverted U-shape (<xref ref-type="bibr" rid="B47">Reinhart and Rogoff, 2010</xref>; <xref ref-type="bibr" rid="B14">Cecchetti and Kharroubi, 2012</xref>).</p>
<p>In addition, from the micro perspective, some literature studies mostly discuss the impact of debt structure on enterprise innovation, and no consistent conclusion has been reached. To be specific, the increasing debt financing is conducive to transmitting positive signals and further alleviating financing constraints of enterprise, playing a positive role in enterprise innovation (<xref ref-type="bibr" rid="B31">Laeven and Valencia, 2012</xref>; <xref ref-type="bibr" rid="B4">Bartoloni, 2013</xref>). However, other scholars found that increasing debt financing brings high financial risks to enterprises, which inhibits enterprise innovation activities (<xref ref-type="bibr" rid="B44">M&#xfc;eller and Zimmermann, 2009</xref>). Besides, some scholars also put forward that debt financing does not make a significant difference to enterprise innovation, and what actually works is the enterprise equity financing (<xref ref-type="bibr" rid="B8">Brown et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B7">Brown et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B9">Brown et&#x20;al., 2017</xref>).</p>
<p>The existing literature studies mostly concentrate on the impact of leverage ratio on macroeconomic growth and the influence of debt structure on micro enterprise innovation. However, few studies pay attention to the particularity of green innovation and the impact of capital structure changes on enterprise green innovation from the perspective of deleveraging policy. Simultaneously, the fixed-effect model and generalized method of moments in existing studies cannot effectively handle endogenous problems. Thus, our paper theoretically analyzes the impact of deleveraging policy on enterprise green innovation from the perspective of capital structure. On this basis, we take the implementation of the <italic>OASREL</italic> in 2016 as the exogenous shock and construct a DID model to quantitatively confirm that the deleveraging policy significantly improves enterprise green innovation. The result passes a series of robustness tests and remains valid. Further heterogeneity analysis indicates that the deleveraging policy can promote the application of green invention patents to a greater extent, and its facilitation effect on enterprise green innovation is more significant in state-owned enterprises, large-scale enterprises, technology-intensive enterprises, and enterprises in financially developed regions. Ultimately, the mechanism test proves that the deleveraging policy can not only ease enterprise financing constraints to provide sufficient funds for enterprise green innovation but also strengthen the supervision of major shareholders to ensure the stable development of enterprise green innovation.</p>
<p>The main contributions of this paper are as follows. Firstly, this paper broadens the relevant research on the influencing factors of green innovation from the perspective of micro enterprise capital structure. Existing studies mainly focus on the impact of debt structure on enterprise innovation but barely explore the effect of capital structure on enterprise green innovation in view of deleveraging policy (<xref ref-type="bibr" rid="B4">Bartoloni, 2013</xref>; <xref ref-type="bibr" rid="B9">Brown et&#x20;al., 2017</xref>). On the one hand, existing studies cannot capture the possible systemic impact of capital structure after the implementation of deleveraging policy. On the other hand, they also failed to reveal the uniqueness of green innovation. That is, green innovation is generally in the dilemma of financing constraints owing to its higher risk and uncertainty, and its double externality of knowledge spillovers and environmental protection further reduces the possibility of enterprise green innovation (<xref ref-type="bibr" rid="B52">Sun et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B60">Xiang et&#x20;al., 2021</xref>). Based on the characteristic of green innovation, our paper identifies the preference differences between creditors and equity investors. Then, we prove that the deleveraging policy can reduce enterprise debt and promote equity financing, so as to meet the fund needs of green innovation and improve enterprise green innovation.</p>
<p>Secondly, this paper also enriches the research on the economic effect of deleveraging policy. Existing literature studies mostly concentrate on the effects of deleveraging on macroeconomic (<xref ref-type="bibr" rid="B48">Schularick and Taylor, 2012</xref>) and micro enterprise innovation (<xref ref-type="bibr" rid="B8">Brown et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B4">Bartoloni, 2013</xref>), while few studies discuss its impact on enterprise green innovation. This paper puts forward the hypothesis that the deleveraging policy can optimize the enterprise capital structure and promote enterprise green innovation through theoretical mechanism analysis. By quantitative research, this paper affirms the positive impact of deleveraging policy on promoting enterprise green innovation, which verifies the rationality of deleveraging policy from the perspective of sustainable development.</p>
<p>The remainder of this paper is organized as follows. <xref ref-type="sec" rid="s2">Section 2</xref> presents the institutional background and puts forward the research hypothesis. <xref ref-type="sec" rid="s3">Section 3</xref> describes the model setting and description of data. <xref ref-type="sec" rid="s4">Sections 4</xref> and <xref ref-type="sec" rid="s5">Sections 4 and 5</xref> report the empirical and mechanism test results, respectively, followed by conclusion and policy enlightenments in <xref ref-type="sec" rid="s6">Section&#x20;6</xref>.</p>
</sec>
<sec id="s2">
<title>2 Institutional Background and Research Hypothesis</title>
<sec id="s2-1">
<title>2.1 Institutional Background</title>
<p>To alleviate the impact of the economic crisis in 2008, China introduced the <italic>Four Trillion Plan</italic> policy to stimulate economic development. As a result, the average leverage ratio of enterprise sector grows rapidly, and the debt burden of enterprises is more serious. With the potential risks, deleveraging has become a necessary measure to prevent the economic risks in China. Based on this, in October 2015, the Fifth Plenary Session of the 18th Communist Party of China (CPC) Central Committee clearly put forward the requirement of reducing the leverage ratio. At the end of 2015, the Central Economic Work Conference took deleveraging as one of the core tasks of the supply side structural reform to optimize the enterprise debt structure, which required enterprises to gradually reduce the leverage ratio to a reasonable level and promote steady economic growth. Although the deleveraging requirement was first proposed in 2015, but in fact, the deleveraging requirement in 2015 just put forward the guiding suggestions and did not list enterprises as the object of policy implementation, it only created a universal institution environment. Based on this, the State Council of China issued the Opinions on Actively and Steadily Reducing Enterprise Leverage in October 2016, which not only defined enterprises as the mainstay to achieve the goal of deleveraging but also standardized the ways of enterprise deleveraging, thus having a strong restrictive effect on enterprise behavior.</p>
<p>The <italic>OASREL</italic> pointed out that, for zombie enterprises that lose development prospects, they should conduct bankruptcy liquidation and pay off their debts. And for general enterprises, the <italic>OASREL</italic> required them to actively and steadily reduce their leverage ratio, which accelerated enterprises&#x2019; liquidation of fund arrears. In addition, the <italic>OASREL</italic> also encouraged enterprises in temporary arrears to use means like bank credit to carry out debt integration and optimization. At the same time, the <italic>OASREL</italic> clearly proposed enterprises to actively develop equity financing by pushing forward private equity, strengthening trading market infrastructure, and so on. Among those measures, market-oriented bank debt to equity swap is the important way that can not only reduce enterprise debt and leverage but also achieve the purpose of adjusting enterprise capital structure, thus enhancing enterprise capital strength. In addition, the <italic>OASREL</italic> requests government to strengthen supervision and standardize enterprise behavior of deleveraging by constructing joint punishment mechanisms, which effectively ensures the implementation of deleveraging policy.</p>
<p>In conclusion, the implementation of the <italic>OASREL</italic> defines the way of deleveraging, standardizes the specific measures of enterprise deleveraging, and further implements the goal of deleveraging. According to the <italic>Choice</italic> database (<ext-link ext-link-type="uri" xlink:href="http://choice.eastmoney.com/">
<italic>http://choice.eastmoney.com/</italic>
</ext-link>), the leverage ratio of Chinese listed enterprises in 2014 and 2015 was 43.97 and 42.24%, respectively, and decreased to 40.70 and 40.15% in 2016 and 2017. The above data show an obvious effect of the deleveraging policy, providing a realistic basis for our&#x20;study.</p>
</sec>
<sec id="s2-2">
<title>2.2 Research Hypothesis</title>
<p>Based on the high risk and long return cycle of enterprise green innovation, creditors who obtain stable interest income have higher risk aversion to borrowing enterprises that conduct green innovation. On the contrary, equity investors pursue long-term income, and thus, they show stronger investment preference (<xref ref-type="bibr" rid="B28">Hsu et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B9">Brown et&#x20;al., 2017</xref>). Therefore, though the <italic>OASREL</italic> forces the reduction of debt funds, it may not do substantial damage to enterprise green innovation. Moreover, encouraging equity financing in the context of green development will further stimulate equity investors&#x2019; investment preference for green innovation, so as to provide long-term funds for green innovation (<xref ref-type="bibr" rid="B27">Hoskisson et&#x20;al., 2002</xref>). In the meantime, the <italic>OASREL</italic> also strengthens the ability of major shareholders to supervise and manage enterprises, which could restrict the opportunistic behavior of managers and then ensure the stable development of green innovation. Based on this, our paper attempts to reveal the mechanism between the deleveraging policy and enterprise green innovation from the perspective of enterprise financing and internal supervision.</p>
<sec id="s2-2-1">
<title>2.2.1 The Effect of Easing Financing Constraints</title>
<p>Compared with general innovation, green innovation usually has greater risks and a longer payback period, leading to higher adjustment cost (<xref ref-type="bibr" rid="B22">Hall, 2002</xref>; <xref ref-type="bibr" rid="B40">Malen and Marcus, 2019</xref>). In addition, enterprises generally have multi-dimensional targets such as the maximization of enterprise value and environmental and social benefits; thus, green innovation with greater uncertainty often requires more investment (<xref ref-type="bibr" rid="B56">Wang and Chu, 2019</xref>). From the perspective of debt financing, the uniqueness of green innovation often makes it difficult for enterprises to achieve economic benefits in the short term (<xref ref-type="bibr" rid="B60">Xiang et&#x20;al., 2021</xref>), which may hardly meet the pursuit of creditors for a stable interest income. Moreover, creditors need to bear the risk that the loan cannot be repaid due to the failure of green innovation. Thus, creditors are less willing to lend funds to enterprises that carry out green innovation activities (<xref ref-type="bibr" rid="B8">Brown et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B28">Hsu et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B16">Chen et&#x20;al., 2014</xref>). <xref ref-type="bibr" rid="B60">Xiang et&#x20;al. (2021)</xref> utilized the Poisson model and proved that debt financing had no significant effect on enterprise green innovation. That is, the reduction of enterprise debt caused by the deleveraging policy will not exert a substantial influence on green innovation. More importantly, excessive debt will increase the interest burden of enterprises, and the reduction of enterprise debt scale can lessen the interest expenditure, thus decreasing financial risk and bankruptcy possibility of enterprises (<xref ref-type="bibr" rid="B45">Qi et&#x20;al., 2018</xref>). Meanwhile, the reduction of cash flow also restrains the over investment behavior of enterprises, which enables them to invest in activities that can expand competitive advantages and further push forward with enterprise green innovation (<xref ref-type="bibr" rid="B13">Cai and Zhang, 2011</xref>).</p>
<p>In contrast to the creditors, equity investors mainly concentrate on the long-term operating performance of enterprises; thus, the continuous investment and high return characteristics of green innovation are consistent with equity investors&#x2019; goal of pursuing long-term benefits (<xref ref-type="bibr" rid="B28">Hsu et&#x20;al., 2014</xref>). Under the background of actively encouraging green development, enterprise green innovation can not only obtain government subsidies (<xref ref-type="bibr" rid="B41">Montmartin and Herrera, 2015</xref>) but also reduce energy losses and environmental externalities in production activities, thus effectively allocating enterprise resources and reducing enterprise costs. Meanwhile, by transforming to resource-saving enterprises, enterprises can establish a good external image and win public praise, further expanding their competitive advantage to earn excess profits through giving their products&#x2019; green attributes (<xref ref-type="bibr" rid="B35">Li et&#x20;al., 2019</xref>). Consequently, the deleveraging policy will promote the preference of equity investors for green innovation, ensuring the requirement of enterprise green innovation for long-term funds. Besides, equity financing does not need to repay the interest; thus, enterprises generally face relatively low financial pressure, which can effectively ensure the continuity of green innovation activities (<xref ref-type="bibr" rid="B60">Xiang et&#x20;al., 2021</xref>).</p>
<p>In conclusion, owing to the different preferences for green innovation between creditors and equity investors, the deleveraging policy&#x2019;s reducing enterprise debt funds will not inhibit green innovation. Simultaneously, by promoting enterprise equity financing, the deleveraging policy offers a steady source of funds for green innovation, which has a stimulative impact on enterprise green innovation.</p>
<p>Based on this, this paper puts forward hypothesis&#x20;1:</p>
<p>
<bold>H1</bold>: Ceteris paribus, the deleveraging policy can provide long-term and stable funds for enterprise by facilitating equity financing, so as to improve enterprise green innovation.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 The Effect of Strengthening Internal Supervision</title>
<p>According to the debt control hypothesis, debt financing can not only provide funds for enterprises but also supervise and restrict the enterprise behaviors, which is regarded as an enterprise governance strategy (Qin and Gao, 2020). Then, the agency cost between managers and shareholders decreases, which further promotes the efficiency of enterprise organizational (<xref ref-type="bibr" rid="B61">Xiao, 2006</xref>; <xref ref-type="bibr" rid="B42">Morellec et&#x20;al., 2012</xref>). When enterprises increase the debt financing, creditors tend to add restrictive regulations on debt contracts to avoid risks that the funds lent to the enterprise cannot be repaid. The restrictions inhibit managers&#x2019; opportunistic behavior of using free cash flow to pursue personal profits and reduce managers&#x2019; immoral behavior of occupying shareholders&#x2019; rights and benefits, partly alleviating the interest conflict between shareholders and managers (<xref ref-type="bibr" rid="B3">Armstrong et&#x20;al., 2010</xref>). Thus, the deleveraging policy&#x2019;s forcing enterprises to reduce their debt scale can reduce the original creditors&#x2019; influence on supervising enterprise business decisions and further increase agency cost problems. Moreover, increasing inefficient investment will restrict enterprises&#x2019; long-term activities.</p>
<p>Nevertheless, the deleveraging policy strengthens the ability of major shareholders to supervise and manage enterprises by promoting equity financing, which can partly make up for the negative impact of weakening the supervision of creditors. From the perspective of enterprise equity, the deleveraging policy emphasizes the importance of market-oriented debt to equity swap. Since debt to equity swap could change the enterprise&#x2019;s ownership structure and even dilute the equity to a certain extent, enterprises will choose private placement to reduce their leverage ratio. As a non-public refinancing method with low issuance threshold, private placement mainly distributes to major shareholders, which concentrates the enterprise equity to a large extent (<xref ref-type="bibr" rid="B24">Henrik and Mattias, 2005</xref>). Furthermore, through strengthening equity concentration, the deleveraging policy reduces the supervision cost of major shareholders and strengthens their supervision impact on enterprise operation and management activities. Then, the over-investment behavior of managers can be inhibited, further promoting the development of enterprises&#x2019; long-term activities.</p>
<p>It is noteworthy that some scholars pointed out that the increase of investors caused by private placement would influence the decision made by major shareholders (<xref ref-type="bibr" rid="B46">Qin and Gao, 2020</xref>). In fact, shareholders who purchase new shares issued by private placement generally have hitchhiking psychology; thus, they have little motivation to participate in enterprise decision-making. Therefore, even if the number of new investors rises, it may not affect the result of major shareholders to supervise and manage enterprise decision-making. Furthermore, shareholders who pay more attention to the long-term performances of enterprise will continue to promote enterprise green innovation with their stronger green innovation preference under the background of green development.</p>
<p>In conclusion, although the deleveraging policy weakens the impact of creditors&#x2019; supervision, it actually makes up for this negative influence by strengthening equity concentration. The improving ability of major shareholders to supervise and manage enterprises effectively ensures the stable development of green innovation.</p>
<p>Based on this, our paper puts forward hypothesis&#x20;2:</p>
<p>H2: Ceteris paribus, the deleveraging policy could improve enterprise green innovation by strengthening the supervision and management of major shareholders.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Materials and Methods</title>
<sec id="s3-1">
<title>3.1 Model Specification</title>
<p>In order to estimate the impact of deleveraging policy on enterprise green innovation more accurately and alleviate the bias of variable selection, our paper takes the implementation of the <italic>OASREL</italic> as a quasi-natural experiment and constructs a DID model. Although the deleveraging policy is implemented uniformly at the national level and there is no clear control group, its impact will actually have divergence due to the different leverage ratio of enterprise before policy&#x2019;s implementation. In other words, the enterprises with a higher leverage ratio are affected greatly by the deleveraging policy. Based on this, referring to existing research practices, our paper adds the interaction term <inline-formula id="inf1">
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<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> into the model. If the leverage ratio of an enterprise is higher than 65% in 2015, it is regarded as the treatment group; otherwise, it belongs to the control group (<xref ref-type="bibr" rid="B6">Bertrand and Mullainathan, 1999</xref>; <xref ref-type="bibr" rid="B46">Qin and Gao, 2020</xref>). Through effectively alleviating the endogenous problems such as reverse causality and missing variables that may exist in the model, we obtain the causality of deleveraging policy on enterprise green innovation. The specific model is constructed as follows:<disp-formula id="e1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<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>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn mathvariant="italic">2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>j</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<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:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<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>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf2">
<mml:math id="m3">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> represents the enterprise, <inline-formula id="inf3">
<mml:math id="m4">
<mml:mi>t</mml:mi>
</mml:math>
</inline-formula> represents the year, and <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<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> represents the green innovation of enterprise <inline-formula id="inf5">
<mml:math id="m6">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> in year <inline-formula id="inf6">
<mml:math id="m7">
<mml:mi>t</mml:mi>
</mml:math>
</inline-formula>. <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> refers to the dummy variable of enterprises and equals 1 if the leverage ratio of enterprise <inline-formula id="inf8">
<mml:math id="m9">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> is 0.65 or more, which indicates the enterprise is affected greatly by the deleveraging policy; otherwise, it is 0. <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is another dummy variable. <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1 means after the implementation of the deleveraging policy (<inline-formula id="inf11">
<mml:math id="m12">
<mml:mi>t</mml:mi>
</mml:math>
</inline-formula> &#x2265; 2016), and <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0 means before the implementation of the deleveraging policy (<inline-formula id="inf13">
<mml:math id="m14">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> &#x3c; 2016). <inline-formula id="inf14">
<mml:math id="m15">
<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:msub>
<mml:mi>l</mml:mi>
<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> indicates a set of control variables. <inline-formula id="inf15">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf16">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote the enterprise and time fixed effect, respectively. <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<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> is the error term. We focus on the interaction term&#x2019;s regression coefficient <inline-formula id="inf18">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> that reflects the influence of the deleveraging policy on enterprise green innovation. If the coefficient is significantly positive, the deleveraging policy can promote enterprise green innovation.</p>
</sec>
<sec id="s3-2">
<title>3.2 Variable Measurement</title>
<sec id="s3-2-1">
<title>3.2.1 Dependent Variable: Enterprise Green Innovation</title>
<p>So far, existing scholars have had a heated discussion on the definition of green innovation, and finally, their conclusions tend to be consistent. Referring to existing studies, our paper defines the green innovation as the new technologies or processes that are helpful to reduce pollution and save resources (<xref ref-type="bibr" rid="B17">Chen et&#x20;al., 2006</xref>). Then, according to the existing literature studies, it takes a long time from a patent application to a granted patent, and the number of granted green patents that some scholars use to measure enterprise green innovation cannot reflect enterprises&#x2019; current creativity (<xref ref-type="bibr" rid="B2">Amore and Bennedsen, 2016</xref>; <xref ref-type="bibr" rid="B19">Deng et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B59">Xia et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B68">Wu et&#x20;al., 2022</xref>). Thus, our paper utilizes the number of green patent applications to measure enterprises&#x2019; green innovation ability (<xref ref-type="bibr" rid="B63">Zhang et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B50">Shao et&#x20;al., 2020</xref>). Meanwhile, referring to <xref ref-type="bibr" rid="B63">Zhang et&#x20;al. (2020)</xref>, we choose to take the natural logarithm of the green patent application numbers plus one as the dependent variable, thus making the data distribution more consistent with normal distribution (<xref ref-type="bibr" rid="B65">Zhou et&#x20;al., 2021</xref>). In addition, we divide the number of green patent applications into green invention patents and green utility models in heterogeneity analysis to further explore the possible impact of deleveraging on different structures of green innovation.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Control Variable</title>
<p>In order to alleviate the endogenous problem caused by missing variables, combining with the existing literature studies and relevant studies, our paper comprehensively considers the influencing factors at the enterprise level and then selects the following variables as the control variables. First, the natural logarithm of total assets (<inline-formula id="inf19">
<mml:math id="m20">
<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:math>
</inline-formula>) is used to control the enterprise size that may affect enterprise green innovation (<xref ref-type="bibr" rid="B58">Wu et&#x20;al., 2020b</xref>). Second, the profitability of enterprises is also an important factor affecting green innovation activities (<xref ref-type="bibr" rid="B34">Li et&#x20;al., 2017</xref>), so the return on assets (<italic>ROA</italic>) and the operating cash flow (<inline-formula id="inf20">
<mml:math id="m21">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) are also included in the model. Third, considering the impact of enterprise governance structure on green innovation, the proportion of independent directors (<inline-formula id="inf21">
<mml:math id="m22">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) and the size of directors (<inline-formula id="inf22">
<mml:math id="m23">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) are also controlled in our model. Fourth, existing research indicates that enterprise age can also affect green innovation (<xref ref-type="bibr" rid="B18">Czarnitzki and Hottenrott, 2011</xref>), and we add the natural logarithm of enterprise age (<italic>Age</italic>) into the&#x20;model.</p>
<p>Apart from these factors at the enterprise level, regional economic development, environmental regulation intensity, and industrial structure will also affect deleveraging policy and enterprise green innovation. Therefore, our paper chooses per capita GDP (<inline-formula id="inf23">
<mml:math id="m24">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), environmental governance intensity (<inline-formula id="inf24">
<mml:math id="m25">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), marketization degree (<inline-formula id="inf25">
<mml:math id="m26">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), industrial structure (<italic>Ind</italic>), population (<inline-formula id="inf26">
<mml:math id="m27">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), regional leverage ratio (<inline-formula id="inf27">
<mml:math id="m28">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), and green coverage (<inline-formula id="inf28">
<mml:math id="m29">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) as the control variables. Among them, <inline-formula id="inf29">
<mml:math id="m30">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is calculated by dividing the total GDP by the total population. <inline-formula id="inf30">
<mml:math id="m31">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is calculated by multiplying the proportion of industrial pollution completed investment in industrial added value by 100. <inline-formula id="inf31">
<mml:math id="m32">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is measured by a marketization index from the <italic>Marketization Index of China&#x2019;s Province</italic> in 2021. <italic>Ind</italic> is measured by the proportion of secondary industry output value in GDP. <inline-formula id="inf32">
<mml:math id="m33">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is measured by the natural logarithm of the number of populations. <inline-formula id="inf33">
<mml:math id="m34">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf34">
<mml:math id="m35">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> are measured by the regional leverage ratio index and green coverage index, respectively.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Data Sources</title>
<p>In China, manufacturing industry is the mainstay of the national economy, and its pollution emission accounts for about 70% of the total industrial sector, which generates more pollution and faces greater environmental pressure. In addition, manufacturing enterprises are the main part of green patent applications, which is more suitable to our study. Therefore, we select Chinese manufacturing enterprises listed on Shanghai and Shenzhen Stock Exchanges from 2010 to 2019 as the research objects.</p>
<p>Our green patent dataset of listed manufacturing enterprises is collected from the State Intellectual Property Office (SIPO). In order to identify every green patent, we refer to the <italic>International Green Patent Classification List</italic> (IGPCL) given by the World Intellectual Property Organization (WIPO) in 2010 and divide the green patents into the following seven types: alternative energy production, transportation, energy conservation, waste management, agriculture and forestry, management regulation design, and nuclear power. If the IPC of a patent belongs to the above IGPCL, it is classified as a green patent. Then, we obtain other main enterprise-level data from the China Stock Market &#x26; Accounting Research Database. The province-level data are collected from the EPS global statistical platform and the China Statistical Yearbook.</p>
<p>After obtaining the original data, we processed the data through the following steps. First, we match the enterprise-level data with province-level data based on the province where the enterprise is located. Second, we exclude enterprises that have much missing data. Third, considering that ST and <sup>&#x2a;</sup>ST refers to the special listed enterprises that have, respectively, suffered losses for two and three consecutive years, we also excluded them to avoid financial abnormality. Finally, we also winsorize all of our continuous variables at the 1 and 99% levels to reduce the influence of extreme data. After all these processes, we obtain an effective sample size of 12,713 observations.</p>
</sec>
<sec id="s3-4">
<title>3.4 Variable Description</title>
<p>The main variables used in this paper and their descriptive statistics are shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>, which describes basic characteristics at enterprise and province levels, including the mean values, standard deviation, and <italic>t</italic>-value between the control group and the treatment group. As is displayed in columns 1 and 3 of <xref ref-type="table" rid="T1">Table&#x20;1</xref>, the average green patent applications of treatment group are 0.6504, which is higher than that of the control group (0.3793). It indicates that, before the implementation of the deleveraging policy, the green innovation in Chinese manufacturing enterprises has divergence between enterprises with a higher or lower leverage ratio. Furthermore, column 5 of <xref ref-type="table" rid="T1">Table&#x20;1</xref> shows that, apart from differences in green innovation, the control variables we select have significant differences between the treatment group and the control group. All of those baseline characteristics are included in the next empirical model, so as to make sure that our treatment group and control group can have the same trend before the implementation of the deleveraging policy.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Definition of main variables and descriptive statistics of samples.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Category</th>
<th rowspan="2" align="center">Variable</th>
<th colspan="2" align="center">Control group</th>
<th colspan="2" align="center">Treatment group</th>
<th align="center">
<italic>t</italic>-Value</th>
</tr>
<tr>
<th align="center">Mean (1)</th>
<th align="center">Std. dev. (2)</th>
<th align="center">Mean (3)</th>
<th align="center">Std. dev. (4)</th>
<th align="center">(5)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">
<italic>Dependent variable</italic>
</td>
<td align="left">
<italic>GI</italic>
</td>
<td align="char" char=".">0.3793</td>
<td align="char" char=".">0.8205</td>
<td align="char" char=".">0.6504</td>
<td align="char" char=".">1.1874</td>
<td align="char" char=".">&#x2212;9.1436<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Size</italic>
</td>
<td align="char" char=".">21.6543</td>
<td align="char" char=".">1.0233</td>
<td align="char" char=".">22.4829</td>
<td align="char" char=".">1.4496</td>
<td align="char" char=".">&#x2212;22.4722<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>ROA</italic>
</td>
<td align="char" char=".">0.045</td>
<td align="char" char=".">0.0706</td>
<td align="char" char=".">&#x2212;0.0245</td>
<td align="char" char=".">0.1257</td>
<td align="char" char=".">26.3558<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td rowspan="7" align="left">
<italic>Enterprise-level control variables</italic>
</td>
<td align="left">
<italic>OCF</italic>
</td>
<td align="char" char=".">0.0326</td>
<td align="char" char=".">0.0736</td>
<td align="char" char=".">0.0204</td>
<td align="char" char=".">0.0966</td>
<td align="char" char=".">4.6434<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Idp</italic>
</td>
<td align="char" char=".">0.3743</td>
<td align="char" char=".">0.0554</td>
<td align="char" char=".">0.3699</td>
<td align="char" char=".">0.0508</td>
<td align="char" char=".">2.2823<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Board</italic>
</td>
<td align="char" char=".">8.5053</td>
<td align="char" char=".">1.5725</td>
<td align="char" char=".">9.0305</td>
<td align="char" char=".">1.8626</td>
<td align="char" char=".">&#x2212;9.4569<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Age</italic>
</td>
<td align="char" char=".">2.7012</td>
<td align="char" char=".">0.419953</td>
<td align="char" char=".">2.861</td>
<td align="char" char=".">0.321</td>
<td align="char" char=".">&#x2212;11.0832<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Pgdp</italic>
</td>
<td align="char" char=".">6.6494</td>
<td align="char" char=".">3.073</td>
<td align="char" char=".">5.6449</td>
<td align="char" char=".">2.813</td>
<td align="char" char=".">9.4381<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Pol</italic>
</td>
<td align="char" char=".">0.2344</td>
<td align="char" char=".">0.1756</td>
<td align="char" char=".">0.2708</td>
<td align="char" char=".">0.2517</td>
<td align="char" char=".">&#x2212;5.7447<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Mkt</italic>
</td>
<td align="char" char=".">8.2905</td>
<td align="char" char=".">1.9142</td>
<td align="char" char=".">7.4972</td>
<td align="char" char=".">1.9874</td>
<td align="char" char=".">11.8664<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td rowspan="4" align="left">
<italic>Province-level control variables</italic>
</td>
<td align="left">
<italic>Ind</italic>
</td>
<td align="char" char=".">0.4368</td>
<td align="char" char=".">0.0811</td>
<td align="char" char=".">0.4532</td>
<td align="char" char=".">0.0803</td>
<td align="char" char=".">&#x2212;5.8192<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Ppl</italic>
</td>
<td align="char" char=".">8.6113</td>
<td align="char" char=".">0.6238</td>
<td align="char" char=".">8.5755</td>
<td align="char" char=".">0.654</td>
<td align="char" char=".">1.643</td>
</tr>
<tr>
<td align="left">
<italic>Plev</italic>
</td>
<td align="char" char=".">0.7787</td>
<td align="char" char=".">0.0445</td>
<td align="char" char=".">0.7860</td>
<td align="char" char=".">0.0454</td>
<td align="char" char=".">&#x2212;4.7163<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Green</italic>
</td>
<td align="char" char=".">0.4092</td>
<td align="char" char=".">0.0306</td>
<td align="char" char=".">0.405</td>
<td align="char" char=".">0.0341</td>
<td align="char" char=".">3.8559<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>Sample size</italic>
</td>
<td align="left"/>
<td align="char" char=".">11,827</td>
<td align="left"/>
<td align="char" char=".">886</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x002A;, &#x002A;&#x002A;, &#x002A;&#x002A;&#x002A; represent significance at 10, 5, and 1% confidence levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Empirical Results</title>
<sec id="s4-1">
<title>4.1 Regression Results</title>
<p>Before the baseline regression, our paper conducts the correlation test to avoid potential multicollinearity problem between variables that we select, and the results are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. As is displayed, the correlation coefficients are all less than 0.5 apart from the correlation coefficient between <italic>Mkt</italic> and <italic>Pgdp</italic> (0.724). Then, we calculate the VIF values of variables. The values of <italic>Mkt</italic> and <italic>Pgdp</italic> are 4.11 and 2.9, respectively, which are both less than 10; thus, the multicollinearity problem between variables is not serious. Next, by observing the correlation coefficient between <inline-formula id="inf35">
<mml:math id="m36">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and green innovation, the coefficient value is positive and significant at the 1% level, preliminarily confirming that the deleveraging policy has a close relationship with enterprise green innovation.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Correlation analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">VIF</th>
<th align="center">Green</th>
<th align="center">Plev</th>
<th align="center">Ppl</th>
<th align="center">Ind</th>
<th align="center">Mkt</th>
<th align="center">Pol</th>
<th align="center">Pgdp</th>
<th align="center">Age</th>
<th align="center">Board</th>
<th align="center">Idp</th>
<th align="center">OCF</th>
<th align="center">ROA</th>
<th align="center">Size</th>
<th align="center">did</th>
<th align="center">lnaplsum</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="char" char=".">0.087<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.063<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.099<sup>&#x2a;&#x2a;</sup>&#x2a;</td>
<td align="char" char=".">0.017<sup>&#x2a;</sup>
</td>
<td align="char" char=".">0.061<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.035<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.028<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.012</td>
<td align="char" char=".">0.069<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.009</td>
<td align="char" char=".">0.212<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.020<sup>&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.290<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.136<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="left">1.34</td>
<td align="char" char=".">0.157<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.231<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.063<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.227<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.191<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.029<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.268<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.249<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.046<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.032<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.161<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.070<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.172<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
</tr>
<tr>
<td align="left">1.21</td>
<td align="char" char=".">0.033<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.128<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.029<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.069<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.056<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.067<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.033<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.140<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.238<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.005</td>
<td align="char" char=".">0.269<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.014</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.05</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">-0.057<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.023<sup>&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.022<sup>&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.033<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.048<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">-0.052<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.035<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.038<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.078<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.09</td>
<td align="char" char=".">0.026<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.063<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.028<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">-0.01</td>
<td align="char" char=".">0.020<sup>&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.003</td>
<td align="char" char=".">0.056<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.088<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.024<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.36</td>
<td align="char" char=".">0.042<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.033<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.022<sup>&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.037<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.037<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.032<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.035<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.009</td>
<td align="char" char=".">-0.499<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.49</td>
<td align="char" char=".">-0.082<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.011</td>
<td align="char" char=".">-0.062<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.061<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.161<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.067<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.157<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.027<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.15</td>
<td align="char" char=".">0.045<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.137<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.001</td>
<td align="char" char=".">-0.158<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.118<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.023<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.206<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">2.9</td>
<td align="char" char=".">0.130<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.213<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.100<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.167<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.724<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.112<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.33</td>
<td align="char" char=".">-0.271<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.122<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.345<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.026<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.346<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">4.11</td>
<td align="char" char=".">0.498<sup>&#x2a;&#x2a;</sup>&#x2a;</td>
<td align="char" char=".">-0.138<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.315<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">-0.258<sup>&#x2a;&#x2a;</sup>&#x2a;</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.92</td>
<td align="char" char=".">-0.289<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.028<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.434<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">2.19</td>
<td align="char" char=".">0.272<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">0.252<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.44</td>
<td align="char" char=".">0.182<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">1.8</td>
<td align="char" char=".">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x002A;, &#x002A;&#x002A;, &#x002A;&#x002A;&#x002A; represent significance at 10, 5, and 1% confidence levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Based on model (1), our paper examines the effect of the deleveraging policy on enterprise green innovation. The regression results are shown in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. By observing column 1 of <xref ref-type="table" rid="T3">Table&#x20;3</xref>, the interaction term <inline-formula id="inf36">
<mml:math id="m37">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
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<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> positively affects the enterprise green innovation at the 5% level after controlling the time and enterprise fixed effect. The deleveraging policy has an obviously incentive effect on green innovation behavior of enterprises. Moreover, in order to prevent the biased result caused by the unobservable factors at province and industry levels, we refer to the practice of <xref ref-type="bibr" rid="B63">Zhang et&#x20;al. (2020)</xref> and further add both province and industry fixed effects, which interact with the time trend, respectively, in model (1). The results are shown in column 2 of <xref ref-type="table" rid="T3">Table&#x20;3</xref>. It can be seen that the deleveraging policy still positively promotes the green innovation behavior of enterprises at the 1% level, and its regression coefficient is 0.1538. That is, after the <italic>OASREL</italic> is published, the number of green innovation patent applications has increased by 15.38%.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Baseline regression results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">GI (1)</th>
<th align="center">GI (2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf37">
<mml:math id="m38">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1762<sup>&#x2a;&#x2a;</sup> (0.0707)</td>
<td align="center">0.1538<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0373)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">&#x2212;3.2097 (2.2449)</td>
<td align="center">&#x2212;0.0159 (2.9680)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Year Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province FE &#xd7; tt Trend</italic>
</td>
<td align="center">NO</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Industry FE &#xd7; tt Trend</italic>
</td>
<td align="center">NO</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Firm Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.0321</td>
<td align="center">0.6792</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">12,713</td>
<td align="center">12,602</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses, clustered by firm. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Parallel Trend Test</title>
<p>The premise of applying the DID model is to meet the parallel trend assumption, i.e.,&#x20;the change trend of green innovation of high-leverage enterprises should be consistent with that of low-leverage enterprises before the implementation of the <italic>OASREL</italic>. Based on this, we use the event study method to test the parallel trend assumption (<xref ref-type="bibr" rid="B34">Li et&#x20;al., 2017</xref>), which can not only test the parallel trend before the impact of the <italic>OASREL</italic> but also observe the dynamic effect of deleveraging policy on enterprise green innovation. The estimation model is specified as follows:<disp-formula id="e2">
<mml:math id="m39">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<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>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>6</mml:mn>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn mathvariant="italic">2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn mathvariant="italic">2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>j</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<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:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<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>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where the interaction term <inline-formula id="inf38">
<mml:math id="m40">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> refers to the <inline-formula id="inf39">
<mml:math id="m41">
<mml:mi>k</mml:mi>
</mml:math>
</inline-formula>&#x20;-th leading term of deleveraging policy, which tests whether high-leverage enterprises and low-leverage enterprises have the same trend before the implementation of the <italic>OASREL</italic>. If the coefficient <inline-formula id="inf40">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is not significant, it indicates that there is no significant difference between the treatment group and the control group before the implementation of the <italic>OASREL</italic>, and then, the parallel trend assumption is verified. <inline-formula id="inf41">
<mml:math id="m43">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the <inline-formula id="inf42">
<mml:math id="m44">
<mml:mi>j</mml:mi>
</mml:math>
</inline-formula> -th lagged term of deleveraging policy, which is used to identify the dynamic effect of deleveraging policy on enterprise green innovation activities after the implementation of the <italic>OASREL</italic>. Other variables are consistent with the baseline regression&#x20;model.</p>
<p>The estimation result of the parallel trend test is displayed in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, in which 2015 (the year before the implementation of the deleveraging policy) is set as the reference year. It can be seen that the impact of interaction term <inline-formula id="inf43">
<mml:math id="m45">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on enterprise green innovation activities is not statistically significant from 2010 to 2014 (i.e.,&#x20;F6&#x2013;F2). Therefore, before the deleveraging policy is proposed, there is no obvious difference in green innovation between high-leverage enterprises and low-leverage enterprises, verifying the parallel trend assumption. In addition, <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> also shows that the coefficient increases significantly in 2016 (L0) and decreases in 2017 (L1) and then remains stable during the period of 2017&#x2013;2019 (L1&#x2013;L3). It indicates that the reduction of enterprise leverage can promote enterprise green innovation steadily and continuously.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Parallel trend test.</p>
</caption>
<graphic xlink:href="fenvs-10-864335-g001.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Placebo Test</title>
<p>In order to examine whether there are other unobservable factors that may influence the effect of deleveraging policy on enterprise innovation, our paper constructs a series of counterfactuals to test the robustness of our baseline regression results with a placebo test. Our paper randomly assigns the treatment group and the control group by <italic>bootstrap</italic> and repeats the regression 500&#x20;times according to model (1). If enterprise green innovation is also improved, it indicates that there may exist other unobservable systematic factors resulting in the promotion of green innovation, instead of being influenced by the deleveraging policy. As shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, the <italic>t</italic>-value of the deleveraging policy&#x2019;s coefficient on enterprise green innovation presents an approximately normal distribution, which is mostly around 0 and rarely around&#x20;&#xb1; 3 and&#x20;&#xb1; 4. It indicates that the proportion of positive or negative regression coefficients is small, proving that there is no fictitious treatment effect. Therefore, it can be inferred that the improved enterprise green innovation is due to the impact of deleveraging policy rather than other unobservable variables.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Placebo test.</p>
</caption>
<graphic xlink:href="fenvs-10-864335-g002.tif"/>
</fig>
</sec>
<sec id="s4-4">
<title>4.4 Robustness Analysis</title>
<p>In order to test and verify the robustness of our baseline regression result, our paper carries out a series of robustness tests as follows.</p>
<sec id="s4-4-1">
<title>4.4.1 Lagging Green Patent</title>
<p>In our baseline regression, we only consider the current-period effect of the deleveraging policy. In order to further test and verify the robustness of our results, we, respectively, introduce the first-order lagged term and the second-order lagged term of the number of green patent applications into our model and conduct regression again, and the results are shown in columns 1-2 of <xref ref-type="table" rid="T4">Table&#x20;4</xref>. It can be seen that the interaction terms still have positive impacts on the number of green innovation patent applications of enterprises at the 1% level, and its regression coefficient is 0.1672 and 0.1533, respectively, which is consistent with the baseline regression results. Thus, the lagging green patent does not affect the above baseline regression results.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Robustness test (I).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Lag one phase (1)</th>
<th align="center">Lag two phase (2)</th>
<th align="center">GI (3)</th>
<th align="center">GI (4)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf44">
<mml:math id="m46">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1672<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0488)</td>
<td align="center">0.1533<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0520)</td>
<td align="center">0.1762<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0366)</td>
<td align="center">0.1538<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0373)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">&#x2212;3.8557 (3.1404)</td>
<td align="center">&#x2212;0.5293<sup>&#x2a;</sup> (3.2850)</td>
<td align="center">&#x2212;3.216 (2.4790)</td>
<td align="center">&#x2212;0.0163 (2.9860)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</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">
<italic>Province Control</italic>
</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">
<italic>Year Fixed Effects</italic>
</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">
<italic>Province FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">NO</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Industry FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">NO</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Firm Fixed Effects</italic>
</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">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.6821</td>
<td align="center">0.6838</td>
<td align="center">0.6759</td>
<td align="center">0.6792</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">10,683</td>
<td align="center">8,810</td>
<td align="center">12,605</td>
<td align="center">12,602</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively. Control variables are consistent with the baseline regression.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4-2">
<title>4.4.2 Replacing Independent Variable Grouping</title>
<p>Enterprise leverage is a continuous variable, whose result could be influenced by self-defined grouping. Therefore, we replace the dummy variable of enterprise leverage with a continuous variable and then construct a DID model to regress again. Specifically, the whole sample is automatically divided into the treatment group that has a higher leverage ratio and the control group that has a lower leverage ratio. The results are shown in columns 3-4 of <xref ref-type="table" rid="T4">Table&#x20;4</xref>. It can be seen that the interaction term <inline-formula id="inf45">
<mml:math id="m47">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> still has a positive impact on enterprise green innovation at the 1% level. And after adding both province and industry fixed effects, interacting with the time trend, respectively, in model (1), the result is still significantly positive at the 1% level which proves the robustness of our baseline regression once&#x20;again.</p>
</sec>
<sec id="s4-4-3">
<title>4.4.3 Replacing Dependent Variable</title>
<p>Although the number of green patent applications considers the time from a patent application to the patent acquisition (<xref ref-type="bibr" rid="B50">Shao et&#x20;al., 2020</xref>), it is difficult for green patent applications to reflect the quality of green innovation. Therefore, according to <xref ref-type="bibr" rid="B45">Qi et&#x20;al. (2018)</xref>, the number of granted green patents can reflect the quality of enterprise green innovation to a certain extent. In order to test the robustness of our baseline regression result, we, respectively, utilize the first lagged term and second lagged term of granted green patent to measure enterprise green innovation and then carry out regression again. The regression results are shown in columns 1-2 of <xref ref-type="table" rid="T5">Table&#x20;5</xref>. It can be found that the coefficients of interaction terms are still positive and significant at the 1% level, whose results are consistent with the baseline regression.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Robustness test (II).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Patent applications&#x2019; lag one phase (1)</th>
<th align="center">Patent applications&#x2019; lag two phase (2)</th>
<th align="center">High-order standard error (3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf46">
<mml:math id="m48">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1434<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0436)</td>
<td align="center">0.1399<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0469)</td>
<td align="center">0.1538<sup>&#x2a;</sup> (0.0875)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">&#x2212;2.7569 (2.8060)</td>
<td align="center">&#x2212;0.5915 (2.9685)</td>
<td align="center">&#x2212;0.0159 (1.6240)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Year Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Industry FE &#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Firm Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.6648</td>
<td align="center">0.6713</td>
<td align="center">0.6792</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">10,683</td>
<td align="center">8,810</td>
<td align="center">12,602</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively. Control variables are consistent with the baseline regression.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4-4">
<title>4.4.4 Replacing High-Order Clustering Robust Standard Error</title>
<p>The baseline regression in our paper adopts clustering robust standard error at the enterprise level, but the high-order clustering robust standard error can reduce the deviation of statistical inference, which has a direct impact on the significance of sample regression results. Hence, referring to <xref ref-type="bibr" rid="B23">Han et&#x20;al. (2020)</xref>, we choose to use clustering robust standard error at the industry level to verify the robustness of our regression conclusion, and the result is shown in column 3 of <xref ref-type="table" rid="T5">Table&#x20;5</xref>. It can be seen that the coefficient of the interaction term <inline-formula id="inf47">
<mml:math id="m49">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is still significantly positive at the 10% level, further confirming that the baseline regression result is robust.</p>
</sec>
</sec>
<sec id="s4-5">
<title>4.5 Heterogeneity Analysis</title>
<p>Considering that the patent type, property right nature, industry characteristics, enterprise scale, and financial marketization degree will differentiate the impact of deleveraging policy on enterprise green innovation, our paper further carries out grouping regression to reveal the heterogeneous effect of deleveraging policy on enterprise green innovation.</p>
<sec id="s4-5-1">
<title>4.5.1 Patent Type</title>
<p>Different from ordinary patents that have three types, green patents are divided into two categories: green invention patents and green utility models. Between them, the technological content of invention patents is higher than that of green utility models. Therefore, green invention patents often attract more investors that are sensitive to green innovation. At the same time, invention patents play a greater role in promoting financial performances and market competitiveness of enterprises, which can better meet the needs of shareholders for the economic benefits of green innovation. Therefore, our paper conjectures that, between the two types of green patents, the deleveraging policy will contribute to promoting the number of green invention patent applications more obviously.</p>
<p>Based on the above analysis, we divide the total number of green patent applications into green invention patent applications and green utility model applications. The results are shown in columns 1-2 of <xref ref-type="table" rid="T6">Table&#x20;6</xref>. It can be seen that the deleveraging policy has a positive impact on the number of green invention patent applications and green utility model applications at the 5% level and the 1% level, respectively. Notice that the coefficient of the total number of green invention patent applications is 0.1762, which is higher than that of the total number of utility model patent applications (0.1538). The results prove that the deleveraging policy has a more promotion effect on green invention patents, which is in line with our prediction.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Heterogeneity analysis: patent&#x20;type.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Green invention patent (1)</th>
<th align="center">Green utility model patent (2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf48">
<mml:math id="m50">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1762<sup>&#x2a;&#x2a;</sup> (0.0707)</td>
<td align="center">0.1538<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0373)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">&#x2212;3.2097 (2.2449)</td>
<td align="center">&#x2212;0.0159 (2.9680)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Year Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Industry FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Firm Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.0321</td>
<td align="center">0.6792</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">12,713</td>
<td align="center">12,602</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses, clustered by firm. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively. Control variables are consistent with the baseline regression.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-5-2">
<title>4.5.2 Enterprise Size</title>
<p>According to Schumpeter hypothesis, large-scale enterprises have more advantages in obtaining economic resources like investment support than small- and medium-sized enterprises, so as to perform better in innovation activities (<xref ref-type="bibr" rid="B49">Schum peter, 1942</xref>). Specifically, large-scale enterprises have both sufficient funds and diversified financing channels for green innovation. In comparison with small-scale enterprises, large-scale enterprises are less dependent on debt financing and have a better internal regulatory structure. Thus, the implementation of deleveraging policy is more conducive to equity financing of large-scale enterprises, having a greater effect on easing enterprises&#x2019; financing constraints and strengthening their internal supervision. Moreover, large-scale enterprises can attract more innovative talents and have stronger ability to bear and resist risks, which make large-scale enterprises generally more popular with investors. Therefore, our paper infers that, after the implementation of the deleveraging policy, the positive impact on green innovation may have a greater influential effect on large-scale enterprises.</p>
<p>To verify the above conjecture, our paper constructs an interaction item of <inline-formula id="inf49">
<mml:math id="m51">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with <inline-formula id="inf50">
<mml:math id="m52">
<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:math>
</inline-formula> in model (1) to test whether the enterprise size can affect the effect of deleveraging policy on enterprise green innovation. <inline-formula id="inf51">
<mml:math id="m53">
<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:math>
</inline-formula> is a dummy variable. Referring to the <italic>Statistical Division Method of Large, Small and Micro Enterprises</italic> in 2017, our paper divides the sample into large-scale enterprises and small-scale enterprises based on the indexes of enterprises&#x2019; operating income and the number of employees. If the enterprise belongs to large-scale enterprises, then <inline-formula id="inf52">
<mml:math id="m54">
<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:math>
</inline-formula> equals 1; otherwise, it equals 0. The results are shown in column 1 of <xref ref-type="table" rid="T7">Table&#x20;7</xref>. The regression coefficient of <inline-formula id="inf53">
<mml:math id="m55">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is positive and significant at the 1% level, which indicates that the effect of deleveraging policy on enterprise green innovation is more obvious in large-scale enterprises. A probable reason may be that, for small-scale enterprises, green innovation requires large capital investment and has high risk and uncertainty, which makes it difficult for small-scale enterprises to carry out green innovation and bear the consequences of failure in green innovation activities.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Heterogeneity analysis: enterprise size, property right, industry characteristics, and financial development.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">GI (1)</th>
<th align="center">GI (2)</th>
<th align="center">GI (3)</th>
<th align="center">GI (4)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf54">
<mml:math id="m56">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.1791&#x2a;&#x2a;&#x2a; (0.0448)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf55">
<mml:math id="m57">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="center">0.2112&#x2a;&#x2a;&#x2a; (0.0550)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf56">
<mml:math id="m58">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.0532&#x2a;&#x2a;&#x2a; (0.0126)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf57">
<mml:math id="m59">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</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="left"/>
<td align="center">0.1413&#x2a;&#x2a;&#x2a; (0.0394)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">&#x2212;0.5341 (2.9695)</td>
<td align="center">&#x2212;1.1534 (3.5498)</td>
<td align="center">&#x2212;0.9910 (2.9974)</td>
<td align="center">0.6009 (2.9758)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</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">
<italic>Province Control</italic>
</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">
<italic>Year Fixed Effects</italic>
</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">
<italic>Province FE&#xd7; tt Trend</italic>
</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">
<italic>Industry FE&#xd7; tt Trend</italic>
</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">
<italic>Firm Fixed Effects</italic>
</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">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.6792</td>
<td align="center">0.7000</td>
<td align="center">0.6804</td>
<td align="center">0.6791</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">12,602</td>
<td align="center">9,493</td>
<td align="center">12,251</td>
<td align="center">12,602</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses, clustered by firm. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively. Control variables are consistent with the baseline regression.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-5-3">
<title>4.5.3 Property Right</title>
<p>In view of enterprise property rights, in China, state-owned enterprise is the mainstay of economic development, which makes it easier for enterprise to establish political connections with the government, which provides them potential guarantee (<xref ref-type="bibr" rid="B53">Tong et&#x20;al., 2014</xref>). Generally, financial institutions dominant by banks prefer to lend to state-owned enterprises owing to their close relationship with the government. The relatively low financing constraints of state-owned enterprises effectively ensure the demand of stable investment for green innovation. Moreover, compared with non-state-owned enterprises, state-owned enterprises pay more attention to environmental and social benefits so that they have higher enthusiasm for environmental activities like green innovation. In addition, the government has listed state-owned enterprises as the key objects of deleveraging and even incorporated deleveraging into their performance appraisal. Hence, we speculate that the impact of deleveraging policy on green innovation has a stronger positive role in state-owned enterprises.</p>
<p>Based on the above analysis, we construct interaction term variables of <inline-formula id="inf58">
<mml:math id="m60">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with property in model (1). Location is a dummy variable. If <inline-formula id="inf59">
<mml:math id="m61">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1, then the firm is a state-owned enterprise; otherwise, it is a non-state-owned enterprise. The heterogeneity analysis results are shown in column 2 of <xref ref-type="table" rid="T7">Table&#x20;7</xref>. The coefficient of <inline-formula id="inf60">
<mml:math id="m62">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is positive and significant at the 1% level, which means that the green innovation in state-owned enterprises is more affected by the deleveraging policy. Non-state-owned enterprises generally face serious financing constraints, which reduces their access to more funds for enterprise green innovation.</p>
</sec>
<sec id="s4-5-4">
<title>4.5.4 Industry Characteristics</title>
<p>Taking the industry characteristics into account, the manufacturing industry is widely classified, and the investment and R&#x26;D capacity of manufacturing industries for green innovation also differentiate. Among those manufacturing industries, technology-intensive enterprises belong to the high-tech industrial sector. With a large proportion of knowledge and technology, technology-intensive enterprises mainly rely on advanced technology for production activities. Moreover, accompanied by the rapid renewal of products, technology-intensive enterprises need to constantly develop new products to adapt to the fierce competitive environment. Therefore, compared with other types of enterprises, technology-intensive enterprises have a greater preference for green innovation activities. Moreover, technology-intensive enterprises have the advantages of technology and talents, lower cost, and higher success rate. Thus, our paper speculates that, after the implementation of the deleveraging policy, the promotion of enterprise green innovation has a more obvious impact on technology-intensive enterprises.</p>
<p>To confirm the above inference, we construct an interaction term variable of <inline-formula id="inf61">
<mml:math id="m63">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with <inline-formula id="inf62">
<mml:math id="m64">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. For dummy variable industry, we first refer to the classification of <xref ref-type="bibr" rid="B39">Liu and Zhang (2021)</xref> and divide the manufacturing enterprises into technology-intensive enterprises and other enterprises. If the firm belongs to the technology-intensive enterprises, then <inline-formula id="inf63">
<mml:math id="m65">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1; otherwise, <inline-formula id="inf64">
<mml:math id="m66">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0. The regression result is shown in column 3 of <xref ref-type="table" rid="T7">Table&#x20;7</xref>. It can be found that the coefficient of <inline-formula id="inf65">
<mml:math id="m67">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is positive and significant at the 1% level, which implies that the deleveraging policy mainly stimulates higher green innovation vitality of technology-intensive enterprises. And the possible reason why there is no impact on other types of enterprises is that other types of enterprises are not mainly dependent on green innovative products to obtain economic benefits, and their willingness to green innovation is relatively&#x20;low.</p>
</sec>
<sec id="s4-5-5">
<title>4.5.5 Financial Development Level</title>
<p>Taking financial development into consideration, compared with underdeveloped regions, the financial systems in financially developed regions are generally more advanced, which provides much wider financial channels and options for enterprises (<xref ref-type="bibr" rid="B43">Muganyi et&#x20;al., 2022</xref>). Meanwhile, financial institutions like banks usually have a stronger regulatory capacity, which effectively improves the efficiency of enterprise resource allocation and further promotes the conduct of productive activities. In addition, the asymmetric information problems in financially developed regions are relatively less serious, effectively reducing enterprise financing costs and easing their financing constraints. Hence, we expect that, after the implementation of the deleveraging policy, enterprises in regions with more developed financial markets can make full use of the advantages of developed financial market and continuously provide sufficient funds for enterprise green innovation. The effect of the deleveraging policy in promoting enterprise green innovation is much greater.</p>
<p>Following the above analysis, our paper constructs an interaction term of <inline-formula id="inf66">
<mml:math id="m68">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with <inline-formula id="inf67">
<mml:math id="m69">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in model (1) to test whether the financial development level has an impact on the relationship between the deleveraging policy and enterprise green innovation. Then, we utilize the financial marketization index from the <italic>Marketization Index of China&#x2019;s Province in 2021</italic> to judge the financial development level of regions. If the marketization index of the region is higher than the median of the total sample, then it is a financially developed region and equals 1; otherwise, it is an undeveloped region and equals 0. The regression results are shown in column 4 of <xref ref-type="table" rid="T7">Table&#x20;7</xref>. The effect of <inline-formula id="inf68">
<mml:math id="m70">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> on enterprise green innovation is positive and significant at the 1% level, indicating that the impact of deleveraging policy on enterprise green innovation is much greater. The possible reason is that the financial infrastructure in undeveloped regions is relatively backward, which leads to a lower efficiency of financing, and the single financing option also makes it difficult for enterprises to obtain sufficient funds and carry out green innovation activities.</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Mechanism Test</title>
<p>Apart from the direct effect of the deleveraging policy on enterprise green innovation, our previous theoretical analysis indicates that, on the one hand, the deleveraging policy can reduce enterprise debts and increase equity financing, so as to ease financing constraints and provide stable funds for enterprise green innovation. On the other hand, the deleveraging policy could also strengthen the supervision and management of major shareholders on enterprise operation and further inhibit managers&#x2019; opportunistic behavior, promoting the steady development of green innovation activities. On this basis, our paper carries out the following tests to examine whether hypothesis 1 and hypothesis 2 in our paper are true or&#x20;not.</p>
<sec id="s5-1">
<title>5.1 Test of Easing Financing Constraints</title>
<p>Our paper first tests whether the deleveraging policy can improve enterprise green innovation by promoting equity financing and further easing enterprise financing constraints. Referring to the present research (<xref ref-type="bibr" rid="B66">Zhou et&#x20;al., 2020</xref>), we select the change rate of owner&#x2019;s equity <inline-formula id="inf69">
<mml:math id="m71">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> that is equal to <inline-formula id="inf70">
<mml:math id="m72">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> to measure the change of owner&#x2019;s equity. The model is constructed as follows:<disp-formula id="e3">
<mml:math id="m73">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<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:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn mathvariant="italic">2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Based on model (1), model (3) adds the interaction term <inline-formula id="inf71">
<mml:math id="m74">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<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>, in which <inline-formula id="inf72">
<mml:math id="m75">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<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> represents the equity financing. Other variables are consistent with the baseline regression model. The estimation coefficient <inline-formula id="inf73">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reflects the influential effect of owner&#x2019;s equity before and after the implementation of the <italic>OASREL</italic>. If the coefficient is significantly positive, then the result implies that it is the increasing equity financing caused by the deleveraging policy that makes a positive difference in improving enterprise green innovation.</p>
<p>The result is shown in column 1 of <xref ref-type="table" rid="T8">Table&#x20;8</xref>. It can be seen that <inline-formula id="inf74">
<mml:math id="m77">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<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> has a positive impact on enterprise green innovation at the 1% level, and the interaction term <inline-formula id="inf75">
<mml:math id="m78">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<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> has significantly improved the enterprise green innovation level at the 5% level. It reveals that compared with the higher owner&#x2019;s equity group, the group with lower equity changes more greatly after the implementation of the deleveraging policy. That is, the deleveraging policy can help enterprises with low equity to obtain more equity capital, so as to enhance their capital strength and provide sufficient funds for enterprises to carry out green innovation; so, hypothesis 1 (H1) is verified.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Mechanism&#x20;test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">GI (1)</th>
<th align="center">GI (2)</th>
<th align="center">GI (3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf76">
<mml:math id="m79">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mo>&#x25b3;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0334<sup>&#x2a;&#x2a;</sup> (0.0149)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf77">
<mml:math id="m80">
<mml:mrow>
<mml:mo>&#x25b3;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0293<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0080)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf78">
<mml:math id="m81">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="center">1.1459<sup>&#x2a;&#x2a;&#x2a;</sup> (0.2554)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>OC5</italic>
</td>
<td align="left"/>
<td align="center">0.3478<sup>&#x2a;&#x2a;&#x2a;</sup> (0.0759)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf79">
<mml:math id="m82">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.2230 (0.1723)</td>
</tr>
<tr>
<td align="left">
<italic>Large</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.0877 (0.0944)</td>
</tr>
<tr>
<td align="left">
<italic>cons</italic>
</td>
<td align="center">4.4613<sup>&#x2a;&#x2a;&#x2a;</sup> (0.6550)</td>
<td align="center">4.0456<sup>&#x2a;&#x2a;&#x2a;</sup> (0.5227)</td>
<td align="center">0.0449 (3.0489)</td>
</tr>
<tr>
<td align="left">
<italic>Firm Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province Control</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Year Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Province FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Industry FE&#xd7; tt Trend</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Firm Fixed Effects</italic>
</td>
<td align="center">YES</td>
<td align="center">YES</td>
<td align="center">YES</td>
</tr>
<tr>
<td align="left">
<italic>Adj-R</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="center">0.1720</td>
<td align="center">0.1679</td>
<td align="center">0.6759</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">10,427</td>
<td align="center">12,338</td>
<td align="center">12,252</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>Note</italic>: The standard errors are reported in parentheses. <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup>, <sup>&#x2a;&#x2a;&#x2a;</sup> represent significance at 10, 5, and 1% confidence levels, respectively. Control variables are consistent with the baseline regression.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-2">
<title>5.2 Test of Strengthening Internal Supervision</title>
<p>To examine if the deleveraging policy can promote enterprise green innovation by strengthening internal supervision, our paper uses the shareholding ratio of the top five shareholders (<inline-formula id="inf80">
<mml:math id="m83">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) to measure the ownership concentration and constructs the following model to conduct the mechanism:<disp-formula id="e4">
<mml:math id="m84">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<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:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn mathvariant="italic">2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Based on model (1), model (4) adds the interaction term <inline-formula id="inf81">
<mml:math id="m85">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<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>, in which <inline-formula id="inf82">
<mml:math id="m86">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<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> represents the internal supervision. Other variables are in line with the baseline regression model. The estimation coefficient <inline-formula id="inf83">
<mml:math id="m87">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reflects the influential effect of equity concentration before and after the implementation of the <italic>OASREL</italic>. If the coefficient is significantly positive, it indicates that the deleveraging policy can promote enterprise green innovation through strengthening internal supervision. As is shown in column 2 of <xref ref-type="table" rid="T8">Table&#x20;8</xref>, the equity concentration <inline-formula id="inf84">
<mml:math id="m88">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<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> has a positive effect on green innovation at the 1% level, and the interaction term <inline-formula id="inf85">
<mml:math id="m89">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mn>5</mml:mn>
<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> has significantly improved the enterprise green innovation level at the 1% level. It illustrates that, after the implementation of the deleveraging policy, the equity concentration of the group with lower equity concentration increases more greatly than the group with higher equity concentration. With the supervision influence of major shareholders strengthened, major shareholders&#x2019; greater preference to green innovation positively contributes to the development of green innovation, and hypothesis 2 (H2) is confirmed.</p>
<p>It is worth noting that excessive equity concentration of shareholders may lead to single investment of enterprises and avoidance of high-risk activities (<xref ref-type="bibr" rid="B16">Chen et&#x20;al., 2014</xref>). Controlling shareholders will tend to extract private benefits and pursue personal and political agendas, which cannot create economic benefits to enterprises (<xref ref-type="bibr" rid="B15">Chen et&#x20;al., 2011</xref>). Thus, we also use the proportion of the largest shareholder (<inline-formula id="inf86">
<mml:math id="m90">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) to test whether there exists the situation of excessive equity concentration in enterprises and utilize the same method above to carry out regression again. The regression results are exhibited in column 3 of <xref ref-type="table" rid="T8">Table&#x20;8</xref>. It can be seen that the influence of largest shareholder on enterprise green innovation is not obvious, and the interaction term <inline-formula id="inf87">
<mml:math id="m91">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> also has no statistical significance. Hence, the increase of equity concentration caused by the deleveraging policy will not lead to the situation of excessive equity concentration. The decision enterprise makes is the result of strengthening the joint supervision of multiple major shareholders, which ensures the rationality of enterprise decision-making and further promotes the improvement of enterprise green innovation level. Our paper&#x2019;s hypothesis 2 (H2) is supported from the&#x20;side.</p>
</sec>
</sec>
<sec id="s6">
<title>6 Conclusion and Discussion</title>
<p>Taking the Opinions on Actively and Steadily Reducing Enterprise Leverage issued by the State Council of China in 2016 as the natural exogenous shock, our paper constructs a DID model to investigate the impact of deleveraging policy on enterprise green innovation by using the panel data of listed manufacturing companies from 2010 to 2019. We find that, after the implementation of the OASREL, the deleveraging policy has steadily improved enterprise green innovation, which has passed a series of robustness tests. Furthermore, the results of heterogeneity analysis indicate that the deleveraging policy can promote the applications of green invention patent to a greater extent and has a greater effect on green innovation in state-owned enterprises, large-scale enterprises, technology-intensive enterprises, and enterprises in financially developed regions. Finally, the mechanism test proves that the deleveraging policy can not only ease enterprise financing constraints to provide sufficient funds for enterprise green innovation but also strengthen the supervision of major shareholders to ensure the stable development of enterprise green innovation.</p>
<p>Based on the above conclusions, our paper draws the following enlightenments. Firstly, as an important means to prevent economic risks of enterprises, the deleveraging policy improves enterprise green innovation by forcing enterprises to optimize their capital structure, which verifies the rationality of existing deleveraging policy from the perspective of sustainable development. Secondly, the deleveraging policy improves enterprise innovation by promoting equity financing. Thus, the government should lower the threshold for enterprise equity financing and continuously support enterprise to develop equity financing through various means like debt to equity swap and private placement. Finally, according to the results of heterogeneity analysis, as green innovation has high risk and needs sufficient funds, the government is supposed to reduce excessive intervention in resource allocation and improve the fairness of competitive environment to alleviate enterprises&#x2019; dilemma of resource acquisition. In addition, enterprises should focus on their knowledge accumulation and technology development to promote their competitiveness.</p>
</sec>
</body>
<back>
<sec id="s7">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s12">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>DS curated the data and performed the methodology. WH conceptualized the research idea and was responsible for project supervision and funding acquisition. DS and WH were involved in formal analysis, wrote the original draft, and reviewed and edited the paper.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was supported by the National Natural Science Foundation of China (Grant No. 72003079), the Humanities and Social Sciences Research of the Ministry of Education of China (Grant No. 18YJC790041), and the Natural Science Foundation of Jiangsu Province (Grant No. BK20190775).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<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="s11">
<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>
<ack>
<p>The authors sincerely thank the editor and reviewers for valuable comments and suggestions.</p>
</ack>
<sec id="s12">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2022.864335/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2022.864335/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.XLS" id="SM1" mimetype="application/XLS" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="DataSheet1.docx" id="SM2" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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