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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">69</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:8D21F818-6EEF-540F-91C7-D50E3E5A13E0</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Maandblad voor Accountancy en Bedrijfseconomie</journal-title>
        <abbrev-journal-title xml:lang="en">MAB</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">0924-6304</issn>
      <issn pub-type="epub">2543-1684</issn>
      <publisher>
        <publisher-name>Amsterdam University Press</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5117/mab.99.135692</article-id>
      <article-id pub-id-type="publisher-id">135692</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>MAB-scriptieprijs</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>Corporate governance (Corporate governance)</subject>
          <subject>Financiering (Finance)</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>﻿Assessing the influence of green innovation on ESG ratings: A machine learning approach across developed and emerging economies</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Archer</surname>
            <given-names>Thomas</given-names>
          </name>
          <email xlink:type="simple">thomasarcher2000@gmail.com</email>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Rotterdam School of Management, Rotterdam, Netherlands</addr-line>
        <institution>Rotterdam School of Management</institution>
        <addr-line content-type="city">Rotterdam</addr-line>
        <country>Netherlands</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Thomas Archer (<email xlink:type="simple">thomasarcher2000@gmail.com</email>).</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: René Orij</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2025</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>23</day>
        <month>07</month>
        <year>2025</year>
      </pub-date>
      <volume>99</volume>
      <issue>3</issue>
      <fpage>145</fpage>
      <lpage>154</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/5134C43F-B5E7-5062-A7DE-3CD4B67FE6FB">5134C43F-B5E7-5062-A7DE-3CD4B67FE6FB</uri>
      <uri content-type="zenodo_dep_id" xlink:href="https://zenodo.org/record/16417737">16417737</uri>
      <history>
        <date date-type="received">
          <day>28</day>
          <month>08</month>
          <year>2024</year>
        </date>
        <date date-type="accepted">
          <day>27</day>
          <month>01</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Thomas Archer</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits to copy and distribute the article for non-commercial purposes, provided that the article is not altered or modified and the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>﻿Abstract</label>
        <p>This study examines the role of Green Innovation in predicting ESG ratings across developed and emerging economies. Among 292 firms, Green R&amp;D Intensity is identified as a key predictor of ESG ratings. Results indicate that companies currently make minimal investments in Green Innovation, meaning modest increases in investments could enhance ESG ratings. Findings support Signaling Theory, suggesting Green Innovation can immediately boost ratings, though long-term impacts may require time to mature. The study also shows integrating Green Innovation into ML models reduces prediction error by 2% rising to 11.5% for firms without prior ESG ratings. Ultimately, the study’s implications underscore the importance of ESG factors for firms, investors, and policymakers, as higher ESG ratings are linked to increased firm value, improved performance, and economic growth.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>ESG Ratings</kwd>
        <kwd>Green Innovation</kwd>
        <kwd>Green R&amp;D Intensity</kwd>
        <kwd>Machine Learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="﻿Relevance to practice" id="SECID0EMC">
      <title>﻿Relevance to practice</title>
      <p>For firms, focusing on Green R&amp;D spending is crucial for enhancing ESG ratings, particularly for those without prior ratings, as it reduces capital costs and improves financial performance. For investors, incorporating Green R&amp;D Intensity into investment models reduces prediction error, lowers investment risk, and supports better long-term returns. For policymakers, the findings encourage policies that promote Green R&amp;D spending universally, enhancing ESG practices and contributing to economic growth.</p>
    </sec>
    <sec sec-type="﻿1. Introduction" id="SECID0ERC">
      <title>﻿1. Introduction</title>
      <p>In recent years, sustainable investment has grown rapidly, with ESG-focused assets under management now exceeding $17.5 trillion globally (<xref ref-type="bibr" rid="B4">Boffo and Patalano 2020</xref>). ESG ratings, which assess a firm’s non-financial impacts, have become essential for investors seeking long- term sustainability and resilience, especially after the 2008–2009 financial crisis highlighted the out- performance of firms with strong social capital (<xref ref-type="bibr" rid="B33">Servaes et al. 2017</xref>). Despite their importance, ESG rating methodologies remain underdeveloped, limiting their usefulness for guiding investments and policy (D’Amato et al. 2021; <xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>). This research explores the role of Green Innovation as a predictor of ESG ratings, leveraging Signaling Theory to show how such investments communicate a firm’s commitment to sustainability across ESG dimensions (<xref ref-type="bibr" rid="B12">Erdem and Swait 1998</xref>; <xref ref-type="bibr" rid="B29">Raschke et al. 2022</xref>). The study employs both traditional statistical methods and advanced machine learning models, including Random Forest, Neural Networks, and <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0ELD">XGBoost</abbrev>, to improve predictive accuracy (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>; <xref ref-type="bibr" rid="B9">D’Ecclesia et al. 2020</xref>; Del Vitto et al. 2023). The research question guiding this study is:</p>
      <p><italic>How does integrating Green Innovation into machine learning models enhance the prediction accuracy of ESG ratings, and how does the impact of Green Innovation vary between developed and emerging economies</italic>?</p>
      <p>This study evaluates two proxies for Green Innovation: (1) Green R&amp;D Intensity and (2) General R&amp;D Intensity to determine which best explains variations in ESG ratings. The Random Forest model, frequently used in ESG research (Del Vitto et al. 2023; <xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>), is employed alongside advanced models like Artificial Neural Networks and eXtreme Gradient Boosting for robust analysis. Based on data from 292 firms across 26 countries, findings reveal that Green R&amp;D Intensity significantly predicts ESG ratings, with small investments yielding measurable improvements. Consistent with Signaling Theory, ESG ratings rise following Green Innovation, dip slightly in the subsequent year, and then trend upward, suggesting maturing benefits over time. Including Green Innovation in machine learning models improves prediction accuracy across metrics (R2, MSE, RMSE, MAPE), reducing prediction errors by 1.5% on average and by 11.5% for unrated firms. Contrary to expectations, the impact of Green Innovation does not differ significantly between developed and emerging economies, indicating universal model applicability.</p>
      <p>The study’s contributions include (1) identifying Green R&amp;D Intensity as a superior predictor for ESG ratings compared to General R&amp;D; (2) demonstrating that machine learning models with Green Innovation inputs reduce prediction errors, particularly for firms without prior ESG ratings; and (3) showing that Green Innovation’s predictive power holds across economic contexts, supporting the broad applicability of these models. This study provides insights for firms to reduce capital costs by enhancing ESG ratings through Green Innovation (<xref ref-type="bibr" rid="B2">Bams and Van der Kroft 2022</xref>). For investors, it emphasizes the resilience of ESG-focused firms, which often perform better during crises (<xref ref-type="bibr" rid="B33">Servaes et al. 2017</xref>). For policymakers, the findings support policies that promote Green Innovation to drive sustainable economic growth (<xref ref-type="bibr" rid="B7">Caldecott et al. 2020</xref>).</p>
    </sec>
    <sec sec-type="﻿2. Literature review" id="SECID0EPE">
      <title>﻿2. Literature review</title>
      <sec sec-type="﻿2.1. ESG Ratings: challenges and existing predictive models" id="SECID0ETE">
        <title>﻿2.1. ESG Ratings: challenges and existing predictive models</title>
        <p>ESG ratings evaluate firms’ sustainability across environmental, social, and governance pillars (<xref ref-type="bibr" rid="B26">LSEG 2023</xref>), acting as key indicators of sustainable practices (<xref ref-type="bibr" rid="B4">Boffo and Patalano 2020</xref>). While high ESG ratings do not always align with higher stock returns (<xref ref-type="bibr" rid="B20">Krueger et al. 2024</xref>), they bring financial advantages, including reduced capital costs (<xref ref-type="bibr" rid="B2">Bams and Van der Kroft 2022</xref>) and increased firm value (<xref ref-type="bibr" rid="B13">Glaum et al. 2018</xref>; <xref ref-type="bibr" rid="B15">Guo et al. 2018</xref>; <xref ref-type="bibr" rid="B6">Busch et al. 2015</xref>). On a macro scale, ESG practices contribute to national economic growth (<xref ref-type="bibr" rid="B7">Caldecott et al. 2020</xref>).</p>
        <p>The ESG rating industry has seen significant growth, utilizing data from company disclosures, media, and regulatory filings (<xref ref-type="bibr" rid="B34">Sinclair et al. 2018</xref>). However, ratings often face “black box” transparency issues (Del Vitto et al. 2023; <xref ref-type="bibr" rid="B19">Kölbel et al. 2021</xref>). Researchers have thus explored predictive models using financial data (D’Amato et al. 2021; <xref ref-type="bibr" rid="B18">Khan et al. 2022</xref>) and sentiment analysis from media (Jatowt and Färber 2022) to address these concerns.</p>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Box 1.</label>
          <caption>
            <p>ESG Rating Variance and Correlation.</p>
          </caption>
          <table id="TID0EGMAG" rules="all">
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">A study by Alves (<xref ref-type="bibr" rid="B20">Krueger et al. 2024</xref>) reveals that correlations among ESG ratings from major agencies are moderate, ranging between 0.5 and 0.6. This finding, consistent with <xref ref-type="bibr" rid="B3">Berg et al. 2019</xref>’s observations on rating inconsistencies, underscores the need for more research into factors influencing ESG performance. <xref ref-type="bibr" rid="B3">Berg et al. 2019</xref> note that using single-agency data, while subject to noise, can still provide valuable insights.</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>This study enhances the model by Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>), incorporating Green Innovation as a predictive factor for ESG ratings.</p>
      </sec>
      <sec sec-type="﻿2.2. The impact of green innovation on ESG ratings" id="SECID0EKH">
        <title>﻿2.2. The impact of green innovation on ESG ratings</title>
        <p>Green Innovation, or eco-innovation, refers to innovations in green products and processes that offer environmental benefits (<xref ref-type="bibr" rid="B32">Schiederig et al. 2011</xref>). This innovation enhances financial performance and supports ESG principles (Dicuonzo et al. 2022; <xref ref-type="bibr" rid="B16">Hossain et al. 2023</xref>). Firms that invest in Green Innovation are seen as forward-thinking, often engaging in extensive R&amp;D (<xref ref-type="bibr" rid="B38">Woon Leong et al. 2021</xref>; <xref ref-type="bibr" rid="B21">Lee and Min 2015</xref>). According to Signaling Theory, firms use R&amp;D to demonstrate long-term commitment, with Green R&amp;D particularly seen as a targeted signal of sustainability (<xref ref-type="bibr" rid="B12">Erdem and Swait 1998</xref>; <xref ref-type="bibr" rid="B29">Raschke et al. 2022</xref>).</p>
        <p>Green R&amp;D influences all ESG components:</p>
        <list list-type="bullet">
          <list-item>
            <p><bold>Environmental</bold>: Green R&amp;D drives eco-friendly technology and processes, improving metrics like emissions reduction and resource efficiency (<xref ref-type="bibr" rid="B14">Gu et al. 2023</xref>)
                    </p>
          </list-item>
          <list-item>
            <p><bold>Social</bold>: It promotes health, safety, and community relations, enhancing social standards (<xref ref-type="bibr" rid="B37">Wang et al. 2024</xref>)
                    </p>
          </list-item>
          <list-item>
            <p><bold>Governance</bold>: Effective Green R&amp;D management aligns with regulatory standards, benefiting governance ratings (<xref ref-type="bibr" rid="B37">Wang et al. 2024</xref>)
                    </p>
          </list-item>
        </list>
        <p>While models like Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>) focus on financial indicators, this study fills the gap by examining Green R&amp;D as a proxy for Green Innovation’s impact on ESG. Given its targeted nature, Green R&amp;D is expected to better explain ESG rating variations than General R&amp;D, with effects that may emerge over time (<xref ref-type="bibr" rid="B14">Gu et al. 2023</xref>).</p>
        <p><italic>H1: Green R&amp;D better explains the variation in ESG ratings than General R&amp;D</italic>.</p>
      </sec>
      <sec sec-type="﻿2.3. Machine learning: Advancing the precision of ESG rating predictions" id="SECID0EPBAC">
        <title>﻿2.3. Machine learning: Advancing the precision of ESG rating predictions</title>
        <p>Advancements in ESG rating prediction are driven by machine learning algorithms like Random Forest, <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EVBAC">XGBoost</abbrev>, and Neural Networks, which better handle complex, nonlinear data than traditional methods (<xref ref-type="bibr" rid="B9">D’Ecclesia et al. 2020</xref>; D’Amato et al. 2021; <xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>). For instance, Aue (<xref ref-type="bibr" rid="B17">Jatowt et al. 2022</xref>) predicted ESG ratings for over 3,000 U.S. companies by analyzing news articles, showcasing the potential of diverse data sources. However, traditional models, such as those used by Licari (<xref ref-type="bibr" rid="B24">Loiseau-Aslanidi et al. 2021</xref>), demonstrate limited explanatory power, as evidenced by their modest R2 values (31.13%), highlighting the need for more refined approaches.</p>
        <p>This study addresses these challenges by incorporating Green Innovation, a key indicator of sustainability commitment, into Chowdhury’s (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>) model to enhance ESG prediction accuracy. Thus, the hypothesis is:</p>
        <p>
          <italic>H2: Integrating Green Innovation into advanced machine learning models improves ESG rating prediction accuracy compared to traditional statistical models.</italic>
        </p>
      </sec>
      <sec sec-type="﻿2.4. Economic development and its impact on ESG ratings" id="SECID0ETCAC">
        <title>﻿2.4. Economic development and its impact on ESG ratings</title>
        <p>While most ESG studies focus on developed economies, recent research underscores the importance of understanding ESG in emerging markets (<xref ref-type="bibr" rid="B25">Lozano and Martínez-Ferrero 2022</xref>). Theory suggests that organizations are shaped by their societal context, including regulations and NGO oversight (<xref ref-type="bibr" rid="B8">Dal Maso et al. 2016</xref>). Developed economies, with established ESG frameworks and external audits, generally support stronger ESG performance and transparency, reducing information asymmetry (<xref ref-type="bibr" rid="B31">Saini et al. 2023</xref>; <xref ref-type="bibr" rid="B36">Singhania and Saini 2021</xref>). In contrast, emerging economies face regulatory gaps, resource constraints, and limited political support for ESG initiatives (<xref ref-type="bibr" rid="B36">Singhania and Saini 2021</xref>).</p>
        <p>Given these disparities, Green Innovation investments could represent a significant departure from average ESG practices in emerging economies, signaling a stronger commitment to sustainability and potentially having a more pronounced impact on ESG ratings. Building on the model of Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>), this study examines how Green Innovation’s influence on ESG ratings varies by economic development, including macroeconomic factors to assess its moderating effect.</p>
        <p>
          <italic>H3: The effect of Green Innovation on ESG ratings is stronger in emerging economies than in developed economies.</italic>
        </p>
        <p><italic>Note</italic>: In H2 and H3, “Green Innovation” will use the optimal proxy identified from H1.</p>
      </sec>
    </sec>
    <sec sec-type="﻿3. Data" id="SECID0E2DAC">
      <title>﻿3. Data</title>
      <sec sec-type="﻿3.1. Choice of Indicators" id="SECID0E6DAC">
        <title>﻿3.1. Choice of Indicators</title>
        <p><bold>ESG data</bold>: ESG (Environmental, Social, and Governance) ratings are a measure of a firm’s sustainability performance across these three key dimensions. ESG data from LSEG, covering over 90% of global market cap, evaluates 15,500+ companies based on 630+ metrics since 2002 (LSEG)]. Ratings are calculated from weighted Environmental (0.44), Social (0.31), and Governance (0.26) scores, using data from company reports and news sources. As <xref ref-type="bibr" rid="B3">Berg et al. (2019)</xref> support the use of single-source ESG data, this study adopts a unified dataset to ensure consistency.</p>
        <p><bold>Firm-level indicators</bold>: fundamental financial data reflects long-term operational performance and ESG relevance (<xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>). Building on Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>), traditional financial ratios, alongside Green Innovation, form key predictive indicators, including size (TotalAssets), debt-to-equity ratio (<abbrev xlink:title="debt-to-equity ratio" id="ABBRID0EXEAC">DER</abbrev>), earnings per share (<abbrev xlink:title="earnings per share" id="ABBRID0E2EAC">EPS</abbrev>), times interest earned (<abbrev xlink:title="times interest earned" id="ABBRID0E6EAC">TIE</abbrev>), and lagged ESG (<abbrev xlink:title="lagged ESG" id="ABBRID0EDFAC">LESG</abbrev>). The study will focus on two measures of Green Innovation to understand its impact on ESG ratings:</p>
        <list list-type="bullet">
          <list-item>
            <p><bold>Green R&amp;D intensity</bold>: Green R&amp;D expenditure relative to revenue, reflecting a firm’s commitment to sustainability (<xref ref-type="bibr" rid="B21">Lee and Min 2015</xref>)
                    </p>
          </list-item>
          <list-item>
            <p><bold>General R&amp;D intensity</bold>: Total R&amp;D expenditure relative to revenue, capturing broader innovation efforts (Dicuonzo et al. 2022)
                    </p>
          </list-item>
        </list>
        <p><bold>Macroeconomic variables</bold>: Key macroeconomic indicators, based on Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>), include GDP, GDP growth rate (<abbrev xlink:title="GDP growth rate" id="ABBRID0E2FAC">GDPG</abbrev>), and unemployment rate (<abbrev xlink:title="unemployment rate" id="ABBRID0E6FAC">UNEM</abbrev>) to contextualize ESG performance within the broader economic environment. Inflation (<abbrev xlink:title="Inflation" id="ABBRID0EDGAC">INF</abbrev>), though initially considered, was excluded due to its low predictive value.</p>
      </sec>
      <sec sec-type="﻿3.2. Data preparation and standardization" id="SECID0EHGAC">
        <title>﻿3.2. Data preparation and standardization</title>
        <p>Key transformations to ensure consistency across variables include calculating Green R&amp;D Intensity and General R&amp;D Intensity, lagging variables for 1–3 years, and normalizing data with log transformations (ESG, TotalAssets and GDP).</p>
        <p>By standardizing the data and performing these calculations, the dataset is prepared for analysis. The initial dataset, sourced from LSEG and World Bank, comprised 267,778 observations. Observations were removed for countries not classified as developed or emerging by <xref ref-type="bibr" rid="B28">MSCI (2024)</xref>, for firms with fewer than five data points, and for missing values, resulting in 1,597 observations spanning 292 companies across 26 countries. Winsorization was applied to limit extreme values at the 5<sup>th</sup> and 95<sup>th</sup> percentiles. Table <xref ref-type="table" rid="T2">1</xref> summarizes observations before and after cleaning. The cleaned dataset includes observations from five industries: Utilities, Industrials, Consumer Discretionary, Basic Materials, and Technology.</p>
        <table-wrap id="T2" position="float" orientation="portrait">
          <label>Table 1.</label>
          <caption>
            <p>Summary of Observations Before and After Data Cleaning.</p>
          </caption>
          <table id="TID0EFNAG" rules="all">
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Description</th>
                <th rowspan="1" colspan="1">Pre-Cleaning</th>
                <th rowspan="1" colspan="1">Post-Cleaning</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Time Frame</td>
                <td rowspan="1" colspan="1">2000–2023</td>
                <td rowspan="1" colspan="1">2003–2022</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Number of Companies</td>
                <td rowspan="1" colspan="1">11,167</td>
                <td rowspan="1" colspan="1">292</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Number of Countries</td>
                <td rowspan="1" colspan="1">46</td>
                <td rowspan="1" colspan="1">26</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Total Observations</td>
                <td rowspan="1" colspan="1">267,778</td>
                <td rowspan="1" colspan="1">1,597</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="3">Observations from</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Developed Economies</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">1,388</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="3">Observations from</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Emerging Economies</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">209</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Developed Economies<sup>1</sup></td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">15 Countries</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Emerging Economies<sup>2</sup></td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">11 Countries</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><sup>1</sup> Economies included: Austria, Belgium, Finland, France, Germany, Hong Kong, Italy, Japan, The Netherlands, Portugal, Spain, Sweden, Switzerland, UK, USA. <sup>2</sup> Economies included: Brazil, Chile, Colombia, Greece, India, Indonesia, Mexico, Poland, South Korea, Taiwan, Turkey.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="﻿3.3. Evaluating correlations and multi-collinearity" id="SECID0EXKAC">
        <title>﻿3.3. Evaluating correlations and multi-collinearity</title>
        <p>Multicollinearity, which can inflate coefficient variances in regression, was evaluated using the Variance Inflation Factor (VIF). Most variables, especially those related to Green R&amp;D Intensity, showed VIF values below 10, indicating minimal multicollinearity. However, lagged General R&amp;D Intensity variables exceeded this threshold. Averaging the three lagged years (Lag1, Lag2, and Lag3) reduced the VIF to 6, supporting an averaged approach for these values to enhance model interpretability.</p>
      </sec>
    </sec>
    <sec sec-type="methods" id="SECID0E3KAC">
      <title>﻿4. Methodology</title>
      <sec sec-type="﻿4.1. Hypothesis Testing" id="SECID0EALAC">
        <title>﻿4.1. Hypothesis Testing</title>
        <p>
          <italic>4.1.1. H1: Impact of green innovation on ESG ratings</italic>
        </p>
        <p>The study tests the impact of Green R&amp;D Intensity on ESG ratings, comparing it to General R&amp;D Intensity. This is evaluated using OLS regression, with the base model containing only the Lagged ESG variable, as highlighted by Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>). Additional factors are incrementally added using stepwise regression, incorporating industry and year-fixed effects. The model evaluates Green Innovation’s effect on ESG ratings, including immediate and lagged influences:</p>
        <p>ESG<sub><italic>it</italic></sub> = <italic>β</italic><sub>0</sub> + <italic>β</italic><sub>1</sub>Green Innovation<italic><sub>it</sub></italic> + <italic>β</italic><sub>2</sub>Lag1<italic><sub>it</sub></italic> + <italic>β</italic><sub>3</sub>Lag2<sub><italic>it</italic></sub> + <italic>β</italic><sub>4</sub>Lag3<sub><italic>it</italic></sub><italic>β</italic><sub>5</sub>Control Variables<italic><sub>it</sub></italic> + <italic>ε<sub>it</sub></italic></p>
        <p><italic>Note</italic>: Green Innovation combines Green and General R&amp;D Intensity, analyzed separately to capture their individual impacts. Control variables refer to the firm-level and macroeconomic indicators outlined in subsection 3.1. The goal is to identify whether Green or General R&amp;D Intensity more effectively explains variations in ESG ratings.</p>
        <sec sec-type="﻿4.1.2. H2. The impact of green innovation on machine learning predictions of ESG ratings" id="SECID0E2MAC">
          <title>﻿<italic>4.1.2. H2. The impact of green innovation on machine learning predictions of ESG ratings</italic></title>
          <p>Hypothesis 2 examines whether adding Green Innovation improves ESG rating predictions within machine learning models. Random Forest (<abbrev xlink:title="Random Forest" id="ABBRID0EDNAC">RF</abbrev>) is the primary model due to its resilience to overfitting and noise, as well as its effective performance in ESG predictions (Del Vitto et al. 2023; <xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>).</p>
          <p>For robustness, the study also includes Artificial Neural Networks (<abbrev xlink:title="Artificial Neural Networks" id="ABBRID0ENNAC">ANNs</abbrev>), known for handling complex, nonlinear data well (Del Vitto et al. 2023), and eXtreme Gradient Boosting (<abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0ERNAC">XGBoost</abbrev>), which iteratively refines predictions to enhance accuracy (<xref ref-type="bibr" rid="B23">Lin and Hsu 2023</xref>). Although Cat- Boost performs well with categorical data, <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EZNAC">XGBoost</abbrev> is better suited to the predominantly continuous dataset (<xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>).</p>
          <p>To prevent overfitting and ensure balanced evaluations, data splitting is applied. The <abbrev xlink:title="Random Forest" id="ABBRID0EDOAC">RF</abbrev> model uses an 80-20 train-test split, consistent with methods by Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>) and <xref ref-type="bibr" rid="B23">Lin and Hsu (2023)</xref>. For ANN and <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EPOAC">XGBoost</abbrev> models, a 60-20-20 split (train-validation-test) is applied, aligning with recommendations from Krappel (<xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>) and <xref ref-type="bibr" rid="B35">Singh and Thanaya (2023)</xref>.</p>
        </sec>
        <sec sec-type="﻿4.1.3. H3: Differential Impact of green innovation in economic contexts" id="SECID0E2OAC">
          <title>﻿<italic>4.1.3. H3: Differential Impact of green innovation in economic contexts</italic></title>
          <p>To assess the influence of economic context on Green Innovation’s effect on ESG ratings, an interaction term is included in an OLS regression. This allows analysis of Green R&amp;D’s varying impact across developed and emerging economies.</p>
          <p>ESG<sub><italic>it</italic></sub> = <italic>β</italic><sub>0</sub> + <italic>β</italic><sub>1</sub>Green Innovation<sub><italic>it</italic></sub> + <italic>β</italic><sub>2</sub>Lag1<italic><sub>it</sub></italic> + <italic>β</italic><sub>3</sub>Lag2<sub><italic>it</italic></sub> + <italic>β</italic><sub>4</sub>Lag3<sub><italic>it</italic></sub> + <italic>β</italic><sub>5</sub>Econ<italic><sub>it</sub></italic> + <italic>β</italic><sub>6</sub>(Green Innovation<sub><italic>it</italic></sub> × Econ<italic><sub>it</sub></italic>) + <italic>β</italic><sub>7</sub>Control Variables<italic><sub>it</sub></italic> + <italic>ε<sub>it</sub></italic></p>
          <p><italic>Note</italic>: ‘Econ‘ is a dummy variable indicating economic context, where 1 represents developed economies and 0 represents emerging economies. The term <italic>β</italic><sub>5</sub>Econ<italic><sub>it</sub></italic> captures the baseline difference in ESG ratings across economic contexts, while the interaction term <italic>β</italic><sub>6</sub>(Green Innovation<sub><italic>it</italic></sub> × Econ<italic><sub>it</sub></italic>) tests whether the effect of Green Innovation on ESG ratings differs between developed and emerging economies. The model incorporates industry and year-fixed effects.</p>
          <p><italic>Note</italic>: In H2 and H3, “Green Innovation” will use the optimal proxy identified from H1.</p>
        </sec>
      </sec>
    </sec>
    <sec sec-type="﻿5. Empirical results" id="SECID0ESBAE">
      <title>﻿5. Empirical results</title>
      <sec sec-type="﻿5.1. H1: Impact of green innovation on ESG ratings" id="SECID0EWBAE">
        <title>﻿5.1. H1: Impact of green innovation on ESG ratings</title>
        <p>Using OLS regression, this analysis assesses Green R&amp;D Intensity and General R&amp;D Intensity as predictors of ESG ratings, with Lagged ESG as the core predictor (following Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>)). Various model specifications introduce fixed effects, control variables, and the R&amp;D Intensity variables, as shown in Table <xref ref-type="table" rid="T3">2</xref>.</p>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 2.</label>
          <caption>
            <p>Regression Results for LogESG with Green R&amp;D Intensity and General R&amp;D Intensity.</p>
          </caption>
          <table id="TID0ENTAG" rules="all">
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="7">
                  <bold>Base Model + Fixed Effects + Controls + R&amp;D Intensity + Lag 1 + Lag 2 + Lag 3 Panel A: GREEN R&amp;D Intensity</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="8">
                  <bold>Panel A: GREEN R&amp;D Intensity</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="8">
                  <bold>Dependent Variable: Log ESG Ratings</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">R-squared (Adjusted)</td>
                <td rowspan="1" colspan="1">0.810</td>
                <td rowspan="1" colspan="1">0.798</td>
                <td rowspan="1" colspan="1">0.812</td>
                <td rowspan="1" colspan="1">0.813</td>
                <td rowspan="1" colspan="1">0.815</td>
                <td rowspan="1" colspan="1">0.815</td>
                <td rowspan="1" colspan="1">0.816</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogLagged_ESG</td>
                <td rowspan="1" colspan="1">0.254***</td>
                <td rowspan="1" colspan="1">0.253***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.229***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogTotalAssets</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="GDP growth rate" id="ABBRID0E6FAE">GDPG</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="unemployment rate" id="ABBRID0E4GAE">UNEM</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="debt-to-equity ratio" id="ABBRID0E2HAE">DER</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="earnings per share" id="ABBRID0EZIAE">EPS</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="times interest earned" id="ABBRID0EXJAE">TIE</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogGDP</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Green R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.007**</td>
                <td rowspan="1" colspan="1">0.032***</td>
                <td rowspan="1" colspan="1">0.032***</td>
                <td rowspan="1" colspan="1">0.032***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag1 Green R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.027***</td>
                <td rowspan="1" colspan="1">-0.027***</td>
                <td rowspan="1" colspan="1">-0.027***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag2 Green R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.002</td>
                <td rowspan="1" colspan="1">-0.008</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag3 Green R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.009</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="8">
                  <bold>Panel B: GENERAL R&amp;D Intensity</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="8">
                  <bold>Dependent Variable: Log ESG Ratings</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">R-squared (Adjusted)</td>
                <td rowspan="1" colspan="1">0.810</td>
                <td rowspan="1" colspan="1">0.798</td>
                <td rowspan="1" colspan="1">0.812</td>
                <td rowspan="1" colspan="1">0.812</td>
                <td rowspan="1" colspan="1">0.812</td>
                <td rowspan="1" colspan="1">0.812</td>
                <td rowspan="1" colspan="1">0.812</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogLagged_ESG</td>
                <td rowspan="1" colspan="1">0.254***</td>
                <td rowspan="1" colspan="1">0.253***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
                <td rowspan="1" colspan="1">0.230***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogTotalAssets</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
                <td rowspan="1" colspan="1">0.033***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="GDP growth rate" id="ABBRID0ENRAE">GDPG</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
                <td rowspan="1" colspan="1">0.017***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="unemployment rate" id="ABBRID0ELSAE">UNEM</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
                <td rowspan="1" colspan="1">0.015***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="debt-to-equity ratio" id="ABBRID0EJTAE">DER</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
                <td rowspan="1" colspan="1">-0.008**</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="earnings per share" id="ABBRID0EHUAE">EPS</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="times interest earned" id="ABBRID0EFVAE">TIE</abbrev>
                </td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">0.000</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LogGDP</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
                <td rowspan="1" colspan="1">-0.010***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.003</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag1 R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.005</td>
                <td rowspan="1" colspan="1">-0.005</td>
                <td rowspan="1" colspan="1">-</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag2 R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.000</td>
                <td rowspan="1" colspan="1">-</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag3 R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Lag1_3 R&amp;D Intensity</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-</td>
                <td rowspan="1" colspan="1">-0.060</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: *** p&lt;0.01, ** p&lt;0.05, * p&lt;0.1. Industry and Year Fixed effects are included. Data is standardized for easier interpretability. For General R&amp;D Intensity, the aggregate lag measure was taken for 1–3 due to the high VIF scores calculated in the data section.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Conclusion: the analysis finds that Green R&amp;D Intensity significantly explains ESG ratings and does so more effectively than General R&amp;D Intensity.</p>
        <sec sec-type="﻿5.1.1. Findings" id="SECID0EY1AE">
          <title>﻿<italic>5.1.1. Findings</italic></title>
          <p>Green R&amp;D Intensity significantly explains ESG ratings more effectively than General R&amp;D Intensity. Specifically, a 1% increase in Green R&amp;D Intensity correlates with a 0.032% increase in ESG ratings, persisting across some lagged values and suggesting immediate and long-term impacts. Lagged Green R&amp;D (Lag1) initially reduces ESG ratings (-0.027%) but transitions to a positive overall effect as the investments mature. Conversely, General R&amp;D Intensity shows no significant immediate or lagged effects on ESG ratings, underscoring that targeted Green R&amp;D investments are more impactful for ESG outcomes.</p>
        </sec>
        <sec sec-type="﻿5.1.2. Robustness Tests" id="SECID0E61AE">
          <title>﻿<italic>5.1.2. Robustness Tests</italic></title>
          <p>Green R&amp;D Intensity outperforms General R&amp;D Intensity as a predictor of ESG ratings across sectors, particularly within Consumer Discretionary, Basic Materials, and Technology, where it significantly enhances model explanatory power. In contrast, Green R&amp;D Intensity shows no significant effect in Utilities and Industrials, indicating sector-specific differences in R&amp;D impacts on ESG performance.</p>
          <p>General R&amp;D Intensity consistently lacks significance across sectors, suggesting that targeted Green R&amp;D efforts, focused on environmental improvements, align more closely with factors influencing ESG ratings. These robustness tests reinforce that Green R&amp;D Intensity is a more effective predictor of ESG ratings than General R&amp;D Intensity.</p>
        </sec>
        <sec sec-type="﻿5.1.3. Discussion" id="SECID0EH2AE">
          <title>﻿<italic>5.1.3. Discussion</italic></title>
          <p>The OLS regression analysis (Table <xref ref-type="table" rid="T3">2</xref>) reveals that Green R&amp;D Intensity more effectively predicts ESG ratings than General R&amp;D Intensity, aligning with findings by Jiang (<xref ref-type="bibr" rid="B16">Hossain et al. 2023</xref>) and <xref ref-type="bibr" rid="B21">Lee and Min (2015)</xref> on the value of targeted R&amp;D. Unlike Dicuonzo (2022), who found general R&amp;D beneficial for ESG, this study suggests Green R&amp;D specifically enhances ESG, indicating that aggregate R&amp;D measures may miss the impacts of sustainability-focused investments.</p>
          <p>Models with Green R&amp;D Intensity demonstrate higher adjusted R-squared values, emphasizing its role in sustainable value creation and informing corporate strategy and policy.</p>
          <p>Green R&amp;D Intensity also shows a nuanced impact over time; initial investments may reduce ESG ratings due to upfront costs but have positive effects in subsequent periods, consistent with Song (<xref ref-type="bibr" rid="B14">Gu et al. 2023</xref>), who found long-term benefits from Green R&amp;D. Conversely, General R&amp;D Intensity remains insignificant in predicting ESG performance, underscoring that general innovation alone does not foster ESG improvements.</p>
          <p>Additionally, a negative relationship between GDP and ESG ratings suggests that economic growth may conflict with sustainability, highlighting an area for further research.</p>
          <p>In summary, Green R&amp;D Intensity proves a stronger predictor of ESG ratings than General R&amp;D, with even minimal investments yielding positive ESG impacts over time. Specifically, a 1% increase in Green R&amp;D correlates with a 0.032% rise in ESG ratings, reinforcing the value of sustainability-focused innovation.</p>
        </sec>
      </sec>
      <sec sec-type="﻿5.2. H2: The impact of green innovation on machine learning predictions of ESG ratings" id="SECID0EE3AE">
        <title>﻿5.2. H2: The impact of green innovation on machine learning predictions of ESG ratings</title>
        <p>This section explores how adding Green R&amp;D Intensity as a proxy for Green Innovation influences ESG rating predictions using machine learning models. Following H1 findings, Green R&amp;D Intensity was selected as the primary innovation metric. The Random Forest (<abbrev xlink:title="Random Forest" id="ABBRID0EK3AE">RF</abbrev>) model serves as the main approach, with Artificial Neural Networks (ANN) and eXtreme Gradient Boosting (<abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EO3AE">XGBoost</abbrev>) as robustness checks.</p>
        <p><italic>Conclusion</italic>: incorporating Green Innovation enhances ESG prediction accuracy, particularly when no prior ESG data is available.</p>
        <sec sec-type="﻿5.2.1. Findings" id="SECID0EW3AE">
          <title>﻿<italic>5.2.1. Findings</italic></title>
          <p>Performance metrics for the Random Forest (<abbrev xlink:title="Random Forest" id="ABBRID0E53AE">RF</abbrev>) model were evaluated with and without the inclusion of Green Innovation. Results indicate that adding Green Innovation improves prediction accuracy: MSE decreased from 0.013 to 0.012, RMSE from 0.113 to 0.111, and MAPE from 1.97% to 1.94%, reflecting more precise predictions.</p>
          <p>The inclusion of Green Innovation further shows a reduction in prediction error, with RMSE decreasing by 1.77% and MAPE by 1.52%, demonstrating the model’s enhanced performance.</p>
          <p>Analysis confirms Lagged ESG as the most critical feature, aligning with H1 results. Green R&amp;D Intensity also has notable importance, underscoring its role in enhancing ESG prediction accuracy. Further robustness checks will also examine the impact of Lagged ESG to ensure reliability.</p>
        </sec>
        <sec sec-type="﻿5.2.2. Robustness tests" id="SECID0EE4AE">
          <title>﻿<italic>5.2.2. Robustness tests</italic></title>
          <p>This section analyzes the impact of including the Green Innovation factor across different machine learning models, specifically Artificial Neural Networks (ANN) and eXtreme Gradient Boosting (XG-Boost). Subsequently, the impact of excluding the lagged ESG factor will be examined.</p>
          <p>
            <bold>
              <italic>Artificial Neural Network and eXtreme gradient boosting</italic>
            </bold>
          </p>
          <p>Three instances of the Artificial Neural Network (ANN) model were tested, showing that the inclusion of Green Innovation improved performance metrics, with reductions in MSE, RMSE, and MAPE. This improvement aligns with results from the Random Forest model, supporting the addition of Green Innovation in predictive models (Del Vitto et al. 2023).</p>
          <p>For eXtreme Gradient Boosting (<abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EV4AE">XGBoost</abbrev>), results across scenarios (excluding and including Green Innovation) indicate slight enhancements in MSE and RMSE with Green Innovation. While these differences are marginal, the MAPE value remained mostly unchanged, suggesting further investigation may be warranted (<xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>). Together, the findings reinforce that integrating Green Innovation provides a consistent, though variable, improvement in predictive accuracy across machine learning models.</p>
          <p>
            <bold>
              <italic>Excluding lagged ESG</italic>
            </bold>
          </p>
          <p>Given the high importance of the Lagged ESG variable found during analysis, examining model performance without this feature provides insights, especially for new companies or rapidly evolving industries where historical ESG data might be lacking or unrepresentative.</p>
          <p>Results show that removing Lagged ESG while including Green Innovation reduces prediction error (RMSE) by 11.39%, underscoring Green Innovation’s value in improving model accuracy without prior ESG data. This highlights Green Innovation’s potential for accurate ESG predictions in emerging or transforming sectors.</p>
        </sec>
        <sec sec-type="﻿5.2.3. Discussion" id="SECID0EG5AE">
          <title>﻿<italic>5.2.3. Discussion</italic></title>
          <p>The OLS regression results in Table <xref ref-type="table" rid="T3">2</xref> show that including Green R&amp;D Intensity and its lags significantly improves ESG rating predictions, supporting Hypothesis 2. Machine learning models Random Forest, ANN, and <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0ES5AE">XGBoost</abbrev> demonstrate superior accuracy over traditional methods, consistent with findings by Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>) and Del Vitto (2023), who emphasize ML’s predictive advantage.</p>
          <fig id="F1" position="float" orientation="portrait">
            <object-id content-type="arpha">6E842D04-7E89-536A-96E5-7708029FB605</object-id>
            <label>Figure 1.</label>
            <caption>
              <p>Comparison of R-squared and RMSE metrics across scenarios for Random Forest.</p>
            </caption>
            <graphic xlink:href="mab-99-145-g001.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1380414.jpg">
              <uri content-type="original_file">https://binary.pensoft.net/fig/1380414</uri>
            </graphic>
          </fig>
          <p>The inclusion of Green Innovation consistently improves the Random Forest model’s performance metrics (R2, MSE, RMSE, and MAPE), with prediction errors decreasing by 2% overall. Although ANN shows the highest relative improvement, <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EI6AE">XGBoost</abbrev> and Random Forest yield the best absolute error reductions. Notably, <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EM6AE">XGBoost</abbrev> exhibits a higher MAPE, supporting the argument of <xref ref-type="bibr" rid="B22">Levenbach (2015)</xref> for using multiple metrics beyond MAPE for model evaluation.</p>
          <p>Analysis confirmed that lagged ESG ratings are the most influential predictor, aligning with Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>). Excluding lagged ESG underscores Green Innovation’s value; it reduces prediction error by nearly 11.5%, showing its high predictive power, especially for companies lacking prior ESG data.</p>
          <p>Figure <xref ref-type="fig" rid="F2">2</xref> shows RMSE reductions across models when Green Innovation is included, with <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0EBAAG">XGBoost</abbrev> showing the largest decrease, followed by ANN and Random Forest, indicating enhanced ESG rating accuracy.</p>
          <fig id="F2" position="float" orientation="portrait">
            <object-id content-type="arpha">D6A184AF-4C8A-5414-92B5-73E749A6251A</object-id>
            <label>Figure 2.</label>
            <caption>
              <p>Relative RMSE Comparison for Excluding vs. Including Green Innovation Across Models.</p>
            </caption>
            <graphic xlink:href="mab-99-145-g002.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1380415.jpg">
              <uri content-type="original_file">https://binary.pensoft.net/fig/1380415</uri>
            </graphic>
          </fig>
          <p>While Chowdhury (<xref ref-type="bibr" rid="B1">Abdullah et al. 2023</xref>) and Krappel (<xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>) support Random Forest as the best-performing model, <abbrev xlink:title="eXtreme Gradient Boosting" id="ABBRID0E2AAG">XGBoost</abbrev> offers slight improvements by refining decision trees. Though Del Vitto (2023) found superior ANN performance in some contexts, Random Forest generally outperforms in other metrics, highlighting model performance variability.</p>
          <p>In contrast to Del Vitto (2023), who leveraged the full ESG Asset4 dataset, discrepancies across regions (USA, Europe, China) suggest the need for further investigation into regional differences. This sets up Hypothesis 3, exploring Green Innovation’s differential impact across developed and emerging economies.</p>
        </sec>
      </sec>
      <sec sec-type="﻿5.3. H3: Differential impact of green innovation in economic contexts" id="SECID0EABAG">
        <title>﻿5.3. H3: Differential impact of green innovation in economic contexts</title>
        <p><italic>Conclusion</italic>: results show no significant difference in the impact of Green R&amp;D Intensity (Green Innovation proxy) on ESG ratings between developed and emerging economies, thus not supporting Hypothesis 3.</p>
        <sec sec-type="﻿5.3.1. Findings" id="SECID0EIBAG">
          <title>﻿<italic>5.3.1. Findings</italic></title>
          <p>To examine economic context differences, an OLS regression with interaction terms was conducted. The model included Green Innovation, lagged terms, and an interaction for Green Innovation with a developed economy indicator. Table <xref ref-type="table" rid="T4">3</xref> summarizes the regression results.</p>
          <table-wrap id="T4" position="float" orientation="portrait">
            <label>Table 3.</label>
            <caption>
              <p>OLS Regression Results: Green Innovation with Interaction and Year Fixed Effects.</p>
            </caption>
            <table id="TID0E2UBG" rules="all">
              <tbody>
                <tr>
                  <th rowspan="1" colspan="1">Adjusted R-squared</th>
                  <th rowspan="1" colspan="1">0.816</th>
                </tr>
                <tr>
                  <th rowspan="1" colspan="1">Variable</th>
                  <th rowspan="1" colspan="1">Coefficient</th>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">LogLagged_ESG</td>
                  <td rowspan="1" colspan="1">0.230***</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">LogTotalAssets</td>
                  <td rowspan="1" colspan="1">0.032***</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">
                    <abbrev xlink:title="GDP growth rate" id="ABBRID0EFDAG">GDPG</abbrev>
                  </td>
                  <td rowspan="1" colspan="1">0.015**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">
                    <abbrev xlink:title="unemployment rate" id="ABBRID0ERDAG">UNEM</abbrev>
                  </td>
                  <td rowspan="1" colspan="1">0.012**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">
                    <abbrev xlink:title="debt-to-equity ratio" id="ABBRID0E4DAG">DER</abbrev>
                  </td>
                  <td rowspan="1" colspan="1">-0.008**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">
                    <abbrev xlink:title="earnings per share" id="ABBRID0EJEAG">EPS</abbrev>
                  </td>
                  <td rowspan="1" colspan="1">0.002</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">
                    <abbrev xlink:title="times interest earned" id="ABBRID0EVEAG">TIE</abbrev>
                  </td>
                  <td rowspan="1" colspan="1">0.000</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">LogGDP</td>
                  <td rowspan="1" colspan="1">-0.008**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Green Innovation</td>
                  <td rowspan="1" colspan="1">0.021**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Lag1 Green Innovation</td>
                  <td rowspan="1" colspan="1">-0.026***</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Lag2 Green Innovation</td>
                  <td rowspan="1" colspan="1">-0.009</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Lag3 Green Innovation</td>
                  <td rowspan="1" colspan="1">0.009**</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="2">Green Innovation ×</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Developed Economy</td>
                  <td rowspan="1" colspan="1">0.012</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Developed Economy</td>
                  <td rowspan="1" colspan="1">-0.014</td>
                </tr>
              </tbody>
            </table>
            <table-wrap-foot>
              <fn>
                <p>Notes: *** p&lt;0.01, ** p&lt;0.05, * p&lt;0.1. Fixed effects include Year and Industry. Green Innovation is proxied by Green R&amp;D Intensity.</p>
              </fn>
            </table-wrap-foot>
          </table-wrap>
          <p>The findings confirm Hypotheses 1 and 2, with the Lagged ESG coefficient (0.230) indicating that past ESG performance is a strong predictor of current ESG ratings. Green Innovation has a positive and significant effect on ESG ratings, consistent across both developed and emerging economies. Lag effects are also observed, with varying significance.</p>
          <p>Including the interaction term shows that Green Innovation’s impact does not significantly differ between economy types. The coefficient for Developed Economy is negative but not significant, indicating no substantial difference in ESG ratings across economic classifications.</p>
          <p>Significant economic variables, such as LogGDP, <abbrev xlink:title="GDP growth rate" id="ABBRID0EYGAG">GDPG</abbrev>, and <abbrev xlink:title="unemployment rate" id="ABBRID0E3GAG">UNEM</abbrev>, indicate that economic conditions influence ESG ratings, though the developed/emerging classification adds no further explanatory power. Overall, the model explains 81.6% of ESG rating variance, as indicated by an adjusted R-squared of 0.816.</p>
        </sec>
        <sec sec-type="﻿5.3.2. Robustness tests" id="SECID0EAHAG">
          <title>﻿<italic>5.3.2. Robustness tests</italic></title>
          <p>A subsample analysis of interaction terms between Green Innovation and economy type across industries confirms that Green Innovation’s impact on ESG ratings is not significantly different across develop and emerging economies. These robustness results support the main findings, leading to the rejection of Hypothesis 3. ESG ratings are not significantly different across developed and emerging economies. These robustness results support the main findings, leading to the rejection of Hypothesis 3.</p>
        </sec>
        <sec sec-type="﻿5.3.3. Discussion" id="SECID0EHHAG">
          <title>﻿<italic>5.3.3. Discussion</italic></title>
          <p>Following Song’s (<xref ref-type="bibr" rid="B14">Gu et al. 2023</xref>) emphasis on examining Green R&amp;D’s varying impacts under different regulatory and environmental policies, this study explored Green R&amp;D Intensity’s influence across economic contexts.</p>
          <p>Results indicate an insignificant interaction effect, suggesting that Green Innovation’s impact on ESG ratings does not vary significantly between economy types. The positive coefficient suggests a slight tendency for Green Innovation to benefit ESG ratings more in developed economies, though not significantly so.</p>
          <p>Interestingly, emerging economies exhibit higher average ESG ratings over time, likely due to a selection bias that favors large-cap firms in these regions (<xref ref-type="bibr" rid="B30">Revelli et al. 2023</xref>). The observed lagged negative impact of Green Innovation in initial years aligns with Song (<xref ref-type="bibr" rid="B14">Gu et al. 2023</xref>) and Lee and Min (2025), indicating that Green R&amp;D investments require a long-term perspective to yield positive ESG outcomes. While macroeconomic factors significantly influence ESG ratings, the broad developed/emerging classification lacks additional explanatory power, suggesting the predictive model’s applicability across diverse economic contexts when including specific macroeconomic variables.</p>
          <table-wrap id="T5" position="float" orientation="portrait">
            <label>Table 4.</label>
            <caption>
              <p>Interaction Coefficients of Green Innovation and Developed Economy across Industries.</p>
            </caption>
            <table id="TID0EB3BG" rules="all">
              <tbody>
                <tr>
                  <th rowspan="1" colspan="1">Industry</th>
                  <th rowspan="1" colspan="1">Interaction Coefficient</th>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Basic Materials</td>
                  <td rowspan="1" colspan="1">0.0009</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Consumer Discretionary</td>
                  <td rowspan="1" colspan="1">0.0020</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Industrials</td>
                  <td rowspan="1" colspan="1">0.0284</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Technology</td>
                  <td rowspan="1" colspan="1">-0.0165</td>
                </tr>
                <tr>
                  <td rowspan="1" colspan="1">Utilities</td>
                  <td rowspan="1" colspan="1">0.0192</td>
                </tr>
              </tbody>
            </table>
            <table-wrap-foot>
              <fn>
                <p>Notes: *** p&lt;0.01, ** p&lt;0.05, * p&lt;0.1. Coefficients for the interaction term (Green Innovation × Developed Economy) by industry.</p>
              </fn>
            </table-wrap-foot>
          </table-wrap>
        </sec>
      </sec>
    </sec>
    <sec sec-type="﻿6. Conclusion, limitations, and future research" id="SECID0EZJAG">
      <title>﻿6. Conclusion, limitations, and future research</title>
      <sec sec-type="﻿6.1. Conclusions" id="SECID0E4JAG">
        <title>﻿6.1. Conclusions</title>
        <p>This study examines the impact of Green Innovation on ESG ratings, its role in enhancing machine learning predictive accuracy, and its differential effects across developed and emerging economies.</p>
        <p>Analyzing data from 292 firms across 26 countries, Green R&amp;D Intensity emerges as a more significant predictor of ESG ratings than General R&amp;D Intensity, with consistent results across industries. The lagged effects of Green Innovation indicate a delayed but positive impact, emphasizing the need for a long-term perspective in sustainable investment.</p>
        <p>Aligned with prior research (<xref ref-type="bibr" rid="B9">D’Ecclesia et al. 2020</xref>; Del Vitto et al. 2023; <xref ref-type="bibr" rid="B5">Bogun et al. 2021</xref>), machine learning models, notably Random Forest and XG- Boost, outperform traditional models in predicting ESG ratings due to their ability to capture complex relationships within ESG data. Including Green Innovation reduces prediction errors modestly by 2% overall and by 11.5% for firms without prior ESG ratings, underscoring its value for newer or transitioning firms.</p>
        <p>Contrary to expectations, Green Innovation’s influence on ESG ratings does not differ significantly across economic contexts, with macroeconomic factors like LogGDP, <abbrev xlink:title="GDP growth rate" id="ABBRID0EPKAG">GDPG</abbrev>, and <abbrev xlink:title="unemployment rate" id="ABBRID0ETKAG">UNEM</abbrev> playing a more substantial role than economic classification. This enhances the predictive power of machine learning models across various economic contexts.</p>
        <p>The study contributes to ESG and Green Innovation literature in three ways: confirming Green R&amp;D Intensity as a superior ESG predictor, demonstrating its value in reducing prediction errors in machine learning models, and revealing that broader economic classification has minimal impact on ESG predictions.</p>
        <p>For firms, emphasizing Green R&amp;D spending improves ESG ratings, aligning with studies like <xref ref-type="bibr" rid="B2">Bams and Van der Kroft (2022)</xref> and Yu (<xref ref-type="bibr" rid="B15">Guo et al. 2018</xref>), which link high ESG ratings to reduced capital costs and improved firm value. Investors benefit from including Green R&amp;D Intensity in models, potentially lowering investment risk and fostering long-term gains (<xref ref-type="bibr" rid="B33">Servaes et al. 2017</xref>). The absence of significant differences between developed and emerging economies facilitates model use across diverse economic contexts, promoting broader ESG investment. Policymakers can support green innovation investments, which align with national growth and sustainability goals as suggested by Zhou (<xref ref-type="bibr" rid="B7">Caldecott et al. 2020</xref>).</p>
      </sec>
      <sec sec-type="﻿6.2. Limitations" id="SECID0EKLAG">
        <title>﻿6.2. Limitations</title>
        <p>This study has several limitations. First, the ESG data is solely from the LSEG database. Although <xref ref-type="bibr" rid="B3">Berg et al. (2019)</xref> note the advantages of single-source insights, significant rating differences across agencies may impact generalizability (<xref ref-type="bibr" rid="B20">Krueger et al. 2024</xref>). Additionally, this study’s approach of excluding observations with missing values enhances data quality but reduces dataset size, potentially omitting valuable insights. An alternative approach might involve data enrichment to expand and strengthen the dataset. The exclusion of firms with fewer than five observations further limits the sample, especially due to the limited data on Green R&amp;D.</p>
      </sec>
      <sec sec-type="﻿6.3. Future research" id="SECID0EYLAG">
        <title>﻿6.3. Future research</title>
        <p>Future studies could address several areas to expand upon these findings. Firstly, using ESG data from multiple agencies could assess the robustness of results across different rating sources. Additionally, the significant negative impact of GDP on ESG ratings, a novel finding here, invites further exploration into how macroeconomic factors shape ESG practices. Selection bias, as discussed by Barkemeyer (<xref ref-type="bibr" rid="B30">Revelli et al. 2023</xref>) and <xref ref-type="bibr" rid="B4">Boffo and Patalano (2020)</xref>, remains an underexplored aspect in ESG research and warrants focused investigation, particularly across different economic contexts. Furthermore, examining the stages and maturation periods of Green Innovation investments, as indicated by Song (<xref ref-type="bibr" rid="B14">Gu et al. (2023)</xref>, could provide valuable insights into the long-term impacts of sustainable investments.</p>
        <p>Potential research directions to build on these findings include analyzing ESG data from multiple rating agencies to validate these insights across datasets, investigating the GDP’s negative effect on ESG ratings to uncover broader macroeconomic influences, and exploring the specific investment stages and timeframes of Green Innovation. Such studies could enhance understanding of ESG ratings and support informed decision-making for investors and policymakers in sustainable investing.</p>
        <boxed-text id="box1" position="float" orientation="portrait">
          <p><bold>T.J. Archer – Thomas<sup><xref ref-type="fn" rid="en1">1</xref></sup></bold> is alumnus of the MSc Finance &amp; Investments, Rotterdam School of Management.</p>
        </boxed-text>
      </sec>
    </sec>
  </body>
  <back>
    <fn-group>
      <title>Note</title>
      <fn id="en1">
        <p>This article is based on Thomas’s master’s thesis, which was awarded the MAB Thesis Prize 2024. It is a condensed version, with key findings and conclusions preserved, while some details and data have been abbreviated to meet publication requirements.</p>
      </fn>
    </fn-group>
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