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<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="doi">10.3389/fsufs.2024.1396739</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Does trade credit facilitate high-quality development in agricultural enterprises? &#x2013; Insights from Chinese enterprises</article-title>
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<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Jingru</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Liu</surname> <given-names>Tinghua</given-names></name>
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<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<name><surname>Liu</surname> <given-names>Qi</given-names></name>
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<name><surname>Liu</surname> <given-names>Xiao</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>School of Economics, Shandong University of Technology</institution>, <addr-line>Zibo</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Business School, Nanjing Xiaozhuang University</institution>, <addr-line>Nanjing</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Ruishi Si, Xi'an University of Architecture and Technology, China</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Guanying Wang, Tianjin University, China</p>
<p>Jiayun Xu, Nankai University, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Tinghua Liu, <email>haddy1009@163.com</email></corresp>
<corresp id="c002">Xiao Liu, <email>x_liuxiao@126.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>06</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1396739</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>05</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Wang, Liu, Liu and Liu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang, Liu, Liu and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Agriculture is crucial for the economy and individuals, and there is a pressing need to improve its quality, efficiency, and competitiveness in emerging countries. This study uses data from Chinese-listed companies to investigate the effect of trade credit on agricultural firms&#x2019; total factor productivity. The results demonstrate that trade credit access and provision can increase agribusinesses&#x2019; total factor productivity. Heterogeneity analysis reveals that access to business credit has a higher contribution to total factor productivity for agribusinesses in the primary sector, for firms in the versus maturity stage, and with low or medium supplier concentration. The provision of trade credit has a more pronounced positive impact on agribusinesses in the maturing stage and enterprises with low or medium customer concentration. This paper further validates the channels of action through which trade credit affects a firm&#x2019;s high-quality development. This research makes a valuable contribution to enhancing the quality and productivity of China&#x2019;s agricultural sector.</p>
</abstract>
<kwd-group>
<kwd>trade credit</kwd>
<kwd>agribusiness</kwd>
<kwd>total factor productivity</kwd>
<kwd>high-quality development system</kwd>
<kwd>entropy approach</kwd>
</kwd-group>
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<fig-count count="4"/>
<table-count count="14"/>
<equation-count count="3"/>
<ref-count count="67"/>
<page-count count="16"/>
<word-count count="11390"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>Agriculture and its associated sectors play a crucial role in China&#x2019;s national economic progress, serving as a significant source of livelihood and influencing societal peace and stability. China has embarked on a new phase of actively encouraging the revival of rural areas and expediting the modernization of agricultural and rural regions. Agricultural transformation and upgrading are both urgent and long-term strategies for China&#x2019;s agricultural development (<xref ref-type="bibr" rid="ref57">Wang et al., 2022</xref>). According to available data, China&#x2019;s contemporary agriculture-related sectors are developing rapidly. Nevertheless, China&#x2019;s agriculture-related industries continue to face issues and obstacles, including an irrational industrial structure, low technological advancement, and challenges to achieving sustainable development. Promoting high-quality development in the contemporary agriculture sector is a crucial problem in the context of China&#x2019;s economy.</p>
<p>Enhancing the organization of the agriculture sector and improving its technical proficiency necessitate financial backing (<xref ref-type="bibr" rid="ref51">Sokolova and Litvinenko, 2020</xref>). However, the scale of China&#x2019;s agriculture-related industries is small, the industrial structure is not complete, and financing is difficult (<xref ref-type="bibr" rid="ref41">Ren et al., 2019</xref>). Some agricultural enterprises find it difficult to meet bank requirements in terms of business scale, asset quality, collateral, and so on, as well as to obtain bank credit support (<xref ref-type="bibr" rid="ref63">Yi et al., 2021</xref>). Informal finance is essential for supporting the growth of companies facing challenges in obtaining funding from traditional banking institutions (<xref ref-type="bibr" rid="ref4">Ayyagari et al., 2010</xref>).</p>
<p>Trade credit is a significant element of informal financing (<xref ref-type="bibr" rid="ref8">Cull et al., 2009</xref>). It pertains to the commercial practice of businesses providing items to clients and granting them the option to delay payment (<xref ref-type="bibr" rid="ref12">Ding et al., 2023</xref>). Agricultural businesses typically have extensive production, supply, and marketing chains at the enterprise level. The production process, from agricultural products to transporting raw materials, processing, and sales, involves a lengthy time cycle. Trade credit may efficiently reduce capital risks and borrowing costs during the manufacturing and marketing phases (<xref ref-type="bibr" rid="ref10">Deshmukh, 2022</xref>). With the development of supply chain finance, agribusinesses usually choose trade credit such as prepaid accounts for financing at the production and procurement stages, and by publicizing the design of commodity production, manufacturers with the intention of purchasing will provide a portion of the funds as support (<xref ref-type="bibr" rid="ref16">Gashayie and Singh, 2015</xref>). Monetary financing through prepayment prevents firms from facing obstacles in obtaining total operating funds from banks owing to other issues in the traditional business process. Utilizing trade credit ensures the seamless continuation of company production (<xref ref-type="bibr" rid="ref56">Wang et al., 2013</xref>). The core enterprise can finance agribusiness during the sales stage by providing accounts receivable financing. Accounts receivable from product sales can serve as collateral for financing, with the expectation of a return of funds upon completion of the sale (<xref ref-type="bibr" rid="ref54">Wang, 2014</xref>).</p>
<p>This article is highly relevant to the studies of <xref ref-type="bibr" rid="ref17">Grau and Reig (2018)</xref> and <xref ref-type="bibr" rid="ref11">Detthamrong and Chansanam (2023)</xref>. The study conducted by <xref ref-type="bibr" rid="ref11">Detthamrong and Chansanam (2023)</xref> examines the correlation between trade credit and the performance of agribusinesses in Thailand. The research focuses on Thai-listed agricultural firms from 2001 to 2020. The findings reveal that agribusinesses that invest in trade credit experience a substantial enhancement in their business performance. However, failing to recover the trade credit can adversely impact the firm&#x2019;s cash flow, impeding business growth. Using European agri-food business panel data, <xref ref-type="bibr" rid="ref17">Grau and Reig (2018)</xref> examined how trade credit affected corporate profitability throughout the European crisis. <xref ref-type="bibr" rid="ref17">Grau and Reig (2018)</xref> indicated that boosting trade credit to the business during this period can boost market visibility and profitability. Furthermore, as noted by <xref ref-type="bibr" rid="ref17">Grau and Reig (2018)</xref>, the influence of trade credit on corporate profitability may vary depending on factors including company size and nation.</p>
<p>This research examines how trade credit affects agricultural enterprises&#x2019; high-quality growth. It concludes that trade credit availability and supply boost Chinese agricultural enterprises&#x2019; TFP (Total Factor Productivity). Heterogeneity demonstrates that obtaining trade credit is conducive to increasing the productivity of all elements in traditional agricultural companies, growing enterprises and enterprises with low concentration of suppliers. Trade credit supply has a more pronounced stimulating impact on mature enterprises and enterprises with low customer concentration. By conducting a mechanism test, it has been shown that the availability of trade credit for firms can alleviate financial limitations and substantially enhance their level of innovation. And offering trade credit reduces inefficient investment, encourages innovation, and boosts firm factor productivity. The paper concludes by applying the entropy weight method to quantify the composite index of high-quality development of agribusiness.</p>
<p>This research makes a marginal contribution, evident in the following features.: Firstly, it enriches the related research on the role of trade credit, and the existing study focuses on a single perspective to assess the influence of trade credit financing on agricultural firms&#x2019; profitability and neglects the impact of trade credit provision on high-quality development (<xref ref-type="bibr" rid="ref11">Detthamrong and Chansanam, 2023</xref>). This article examines both the acquisition and supply of trade credit. It is a beneficial addition to the current research.</p>
<p>Second, we approach the analysis from a unique, &#x201C;comprehensive&#x201D; agribusiness perspective. The current studies have only examined a limited range of agribusiness activities, focusing on a narrow subset. Additionally, the research database in China contains a relatively small number of enterprises in agriculture, forestry, animal husbandry, and fishery-related industries. This limited scope may introduce bias in the findings if it solely concentrates on the narrow agricultural sector.</p>
<p>Third, it enhances the research aspect of high-quality development and broadens the understanding and assessment approach to high-quality development in the agricultural sector. The concept of high-quality development is well-structured, but there is no consistent definition for measuring it at the micro-enterprise level. Most studies have used the total factor productivity of the enterprise as a primary indicator of high-quality development (<xref ref-type="bibr" rid="ref20">Huang et al., 2022</xref>). This is because the total factor productivity comprehensively considers the enterprise&#x2019;s labor, capital, and factor inputs. Furthermore, the related study on the high-quality growth of agricultural firms lacks a systematic assessment index system and measurement technique. This study thoroughly investigates the high-quality advancement of agribusiness by analyzing total factor productivity and comprehensive indicators. It broadens the research framework and system for high-quality agribusiness growth while ensuring the results&#x2019; rigor and trustworthiness.</p>
<p>Fourth, Prior research has primarily focused on studying the influence of trade credit on the industrial sector, with less emphasis on its role in agricultural enterprises. This paper examines trade credit&#x2019;s role in agribusiness operations and financing costs. It analyzes how trade credit affects agricultural enterprises&#x2019; financing costs, technological innovation, and investment efficiency. These findings are valuable for utilizing trade credit funds in agricultural enterprises to foster enterprise development and for the government&#x2019;s management of supply-chain finance funds.</p>
<p>This article is structured as follows: Section 2 introduces the theoretical framework and establishes the research hypotheses. Section 3 provides an overview of the research design, encompassing the sources of data, model specifications, and a description of the statistical analysis. Section 4 addresses the regression analysis, elaborating on the foundational regression, tests for robustness, and analysis of heterogeneity. Section 5 provides a deeper exploration of the mechanism analysis. Section 6 discusses the creation and detailed examination of the composite index for high-quality development. Finally, Section 7 presents the conclusions and policy implications derived from the study.</p>
</sec>
<sec id="sec2">
<title>Literature review and research hypotheses</title>
<sec id="sec3">
<title>Literature review</title>
<sec id="sec4">
<title>The factors that influence total factor productivity</title>
<p>The assessment of high-quality development primarily involves two approaches: establishing a comprehensive set of indicators and choosing proxy variables (<xref ref-type="bibr" rid="ref65">Zhang et al., 2023</xref>). As per researchers&#x2019; interpretation of the meaning of high-quality enterprise growth, the crucial aspect is enhancing the overall factor productivity of firms. The existing literature on the investigation of factors that affect total factor productivity primarily concentrates on resource allocation efficiency (<xref ref-type="bibr" rid="ref62">Yang, 2015</xref>; <xref ref-type="bibr" rid="ref58">Wen, 2019</xref>; <xref ref-type="bibr" rid="ref7">Cao et al., 2022</xref>), enterprise innovation (<xref ref-type="bibr" rid="ref5">Bartelsman et al., 2013</xref>; <xref ref-type="bibr" rid="ref9001">Liu, 2021</xref>; <xref ref-type="bibr" rid="ref60">Wu et al., 2021</xref>), and limitations in obtaining financial resources (<xref ref-type="bibr" rid="ref48">Sheng and Liu, 2021</xref>; <xref ref-type="bibr" rid="ref64">Zhang and Pang, 2023</xref>). Furthermore, several academics have analyzed the influence of the three variables, namely financial environment, policy system, and taxes, on firms&#x2019; productivity.</p>
<p>Capital plays a vital role in driving economic growth, and optimizing the allocation of resources is a crucial way to increase the economy&#x2019;s overall productivity (<xref ref-type="bibr" rid="ref62">Yang, 2015</xref>). On a macro level, Banerjee and Duflo discover that the inefficient distribution of resources across different companies decreases overall societal TFP. <xref ref-type="bibr" rid="ref19">Hsieh and Klenow (2009)</xref> suggest that resource allocation distortions are the primary cause of declining total factor productivity in China, estimating that its productivity could improve by 30&#x2013;50 percent if it were to match the resource allocation efficiency of the United States. At the microenterprise research level, firms facing capital constraints, market failures, or other issues that cause resources to flow toward inefficient firms or sectors can lead to distortions in factor inputs. This, in turn, harms firms&#x2019; overall productivity (<xref ref-type="bibr" rid="ref42">Restuccia and Rogerson, 2017</xref>). <xref ref-type="bibr" rid="ref3">Almeida and Wolfenzon (2006)</xref> assert that the efficient allocation of capital by businesses influences their effectiveness. In his study, <xref ref-type="bibr" rid="ref44">Ryzhenkov (2016)</xref> discovered a considerable misallocation of resources within the Ukrainian manufacturing sector, and improving the efficiency of resource allocation across enterprises would result in substantial productivity development for manufacturing companies.</p>
<p>Firms&#x2019; total factor productivity also closely relates to financing constraints. It has been shown that the level of productivity and the likelihood of innovation through invention or adoption depend on the availability of finance. Ferrando et al. have empirically demonstrated that funding limitations exert a substantial inhibitory impact on the total factor productivity of enterprises in countries within the euro area. <xref ref-type="bibr" rid="ref4">Ayyagari et al. (2010)</xref> validated the negative impact of funding limitations on the overall efficiency of enterprises. <xref ref-type="bibr" rid="ref25">Krishnan et al. (2015)</xref> demonstrated that increasing financing channels can improve enterprises&#x2019; total factor productivity in a natural experiment framework. Based on Chinese firm statistics, <xref ref-type="bibr" rid="ref13">Dong et al. (2022)</xref> have identified that alleviating financial restrictions is a crucial pathway for enhancing investor confidence and boosting the overall productivity of corporations. This indicates that funding limitations continue to be a significant barrier limiting the high-quality growth of Chinese firms. Nevertheless, several academics contend that limitations on funding exert a beneficial influence on the overall efficiency of enterprises. <xref ref-type="bibr" rid="ref55">Wang (2022)</xref> argues that financial limitations can decrease the risks associated with corporate innovation, enhance the quality and effectiveness of innovation, and ultimately contribute to the advancement of overall corporate productivity.</p>
<p>An enterprise&#x2019;s innovation significantly influences the enhancement of total factor productivity within a business. The academic community has long been concerned with the theoretical and practical challenge of improving total factor productivity through innovation. According to Schumpeter&#x2019;s theory of economic growth, corporate innovation can transfer production factors from low-productivity firms to high-productivity firms, causing less productive companies to exit the market. This process ultimately enhances the industry&#x2019;s overall productivity (<xref ref-type="bibr" rid="ref5">Bartelsman et al., 2013</xref>). <xref ref-type="bibr" rid="ref9">Dabla-Norris et al. (2012)</xref> found that innovation is critical to firm performance as it can directly increase productivity and that the impact of innovation on productivity is more significant in less developed countries. <xref ref-type="bibr" rid="ref45">Sandvik and Sandvik (2003)</xref> noted that innovation is an essential means of enhancing firms&#x2019; competitiveness, is often regarded as a core developmental competency of firms, and is also considered an effective way of increasing firm productivity (<xref ref-type="bibr" rid="ref31">Lumpkin and Dess, 1996</xref>).</p>
</sec>
<sec id="sec5">
<title>The role of obtaining trade credit for enterprises</title>
<p>Trade credit finance helps alleviate the financial limitations faced by businesses. Trade credit is a kind of collaborative financing that plays a crucial role in informal finance. It is commonly employed in corporate transactions, including the buying and selling of goods and services. It is a significant means of obtaining corporations&#x2019; funding and possesses little risk and accessibility. When enterprises have limitations in obtaining funds, they may choose trade credit as an alternative form of funding (<xref ref-type="bibr" rid="ref39">Petersen and Rajan, 1997</xref>; <xref ref-type="bibr" rid="ref47">Seifert et al., 2013</xref>). <xref ref-type="bibr" rid="ref40">Rajan and Zingales (1996)</xref> highlighted that, apart from formal financial channels, trade credit serves as a crucial means of financing for firms operating in regions with an undeveloped formal financial system. <xref ref-type="bibr" rid="ref36">Molina and Preve (2012)</xref> discovered that enterprises facing financial challenges use trade credit as a substitute for cash obtained through bank loans. In times of economic hardship, firms may seek financing from suppliers when traditional financial institutions are reluctant to provide loans.</p>
<p>Trade credit financing alleviates the financial limitations faced by businesses and motivates them to expand their investments in inventories, fixed assets, and other resources. In their respective studies, <xref ref-type="bibr" rid="ref1">Abuhommous and Almanaseer (2021)</xref> and <xref ref-type="bibr" rid="ref24">Karako&#x00E7; (2023)</xref> discovered that managers might employ trade credit financing as a beneficial means to augment corporation worth and attain elevated growth objectives. <xref ref-type="bibr" rid="ref15">Fisman and Love (2003)</xref> discovered that industries that relied more heavily on trade credit financing had elevated growth rates in regions with limited progress in finance.</p>
<p>Nevertheless, acquiring trade credit can sometimes entail adverse repercussions for enterprises. <xref ref-type="bibr" rid="ref36">Molina and Preve (2012)</xref> research demonstrated that the utilization of trade credit by enterprises during periods of financial limitations leads to a decline in sales income. <xref ref-type="bibr" rid="ref37">Opler and Titman (1994)</xref> further verified that when a company has limitations in obtaining funds, its operational performance would substantially fall if it heavily relies on trade credit. <xref ref-type="bibr" rid="ref6">Bia&#x0142;ek-Jaworska and Nehrebecka (2016)</xref> indicated that trade credit had a detrimental effect on firm value, decreasing its overall worth.</p>
</sec>
<sec id="sec6">
<title>The significance of trade credit supply for enterprises</title>
<p>Trade credit supply is when a firm provides short-term financing to its customers, enabling them to delay payment while buying the service and commodity. Existing literature has put out three primary theoretical arguments to elucidate the motives behind corporations offering trade credit to their clients.</p>
<p>First, competition theory elucidates the underlying drive of firms to offer trade credit. Firms in the same industry may engage in interest rivalry. These companies would strategically enhance their pricing advantages by offering trade credit to increase consumer loyalty and promote their products. This helps them maintain or extend their market competitiveness (<xref ref-type="bibr" rid="ref46">Schwartz, 1974</xref>). <xref ref-type="bibr" rid="ref59">Wilson and Summers (2002)</xref> stated that trade credit is a significant business marketing tool. Businesses that achieve higher product profits are inclined to offer trade credit as a means of increasing sales (<xref ref-type="bibr" rid="ref39">Petersen and Rajan, 1997</xref>). Furthermore, firms may use trade credit to engage in price discrimination against customers (<xref ref-type="bibr" rid="ref34">Meltzer, 1960</xref>), increasing sales and profits.</p>
<p>Second, according to information theory, trade credit provision is a strategic tool to mitigate information asymmetry. This allows consumers to determine product quality and helps suppliers appropriately evaluate customers&#x2019; default risk. <xref ref-type="bibr" rid="ref9003">Smith (1987)</xref> posited trade credit functions as a means of quality assurance. Suppliers offer trade credit to client companies when there is a lack of information symmetry between businesses.</p>
<p>Third, providing trade credit reduces inventory management costs and ensures stability throughout the supply chain. By offering trade credit to both upstream and downstream enterprises, financing support is provided to customers, resulting in reduced search costs for suppliers and customers (<xref ref-type="bibr" rid="ref39">Petersen and Rajan, 1997</xref>; <xref ref-type="bibr" rid="ref54">Wang, 2014</xref>).</p>
<p>Offering trade credit for commercial transactions can also have a negative impact on firms. <xref ref-type="bibr" rid="ref6">Bia&#x0142;ek-Jaworska and Nehrebecka (2016)</xref> suggests that providing trade credit can influence a firm&#x2019;s profitability and liquidity. Furthermore, firms that offer trade credit are vulnerable to the danger of client default and incur additional costs associated with credit management (<xref ref-type="bibr" rid="ref35">Mian and Smith, 1992</xref>).</p>
</sec>
</sec>
<sec id="sec7">
<title>Research hypotheses</title>
<sec id="sec8">
<title>In terms of acquiring trade credit</title>
<p>Trade credit is important in the informal financial system because it helps address the limitations and inefficiencies of the official financial system (<xref ref-type="bibr" rid="ref21">Ju et al., 2013</xref>). The concepts of &#x201C;comparative advantage theory&#x201D; and &#x201C;credit rationing theory&#x201D; (<xref ref-type="bibr" rid="ref39">Petersen and Rajan, 1997</xref>) provided evidence of the function of trade credit in financing. During a moment of monetary tightening, when banks limit lending to agriculture and the cost of corporate finance increases significantly, trade credit will serve as an alternative funding source to official financial channels. Agricultural firms get trade credit, which also serves as an indirect signal to banks and financial institutions regarding their sound business operations. As a result, they can secure credit from these traditional financial institutions, mitigating the financing limitations. Alleviating financing constraints contributes to high-quality enterprise development.</p>
<p>The innovation of an enterprise has a substantial impact on improving the overall productivity of a corporation. By mitigating the limitations on financial resources that companies face, obtaining trade credit might empower major agribusinesses to augment their investments in innovation, enhance their innovative efforts, and boost their overall efficiency. Studies indicate that depending solely on internal funding to support innovative inputs and sustainability is challenging. Consequently, many organizations shifted toward external financing to facilitate innovation endeavors. <xref ref-type="bibr" rid="ref29">Liu et al. (2022a)</xref> concluded that using trade credit finance is beneficial for promoting innovation within organizations, particularly substantial innovation.</p>
<disp-quote>
<p><italic>H1a</italic>: Obtaining trade credit is conducive to improving TFP and promoting high-quality development of agricultural enterprises.</p>
</disp-quote>
<p>Trade credit also has a negative effect on the high quality of business development. On the one hand, firms may not invest short-term funds such as trade credit in R&#x0026;D, and thus it will not have a substantial impact on the high quality of their development. On the other hand, trade credit increases the short-term debt-servicing pressure of enterprises, and the willingness of enterprises to innovate may decline with the rise of debt-servicing pressure (<xref ref-type="bibr" rid="ref9002">Shao and Wang, 2023</xref>), which is not conducive to high-quality development of enterprises.</p>
<disp-quote>
<p><italic>H1b</italic>: Obtaining trade credit is not conducive to improving TFP and has a negative effect on the high-quality development of agricultural enterprises.</p>
</disp-quote>
</sec>
<sec id="sec9">
<title>Analysis from the perspective of providing trade credit</title>
<p>The market competition hypothesis suggests that, in a competitive market, an agribusiness offering trade credit to its clients can enhance its price advantage and increase customer loyalty (<xref ref-type="bibr" rid="ref59">Wilson and Summers, 2002</xref>). Likewise, a gain in market share may have a favorable incentive impact on the enterprise&#x2019;s total factor productivity. (<xref ref-type="bibr" rid="ref52">Summers and Wilson, 2003</xref>). On the one hand, to maintain their existing market position, agribusinesses will take the initiative to enhance the technological content of their products, which will promote the total factor productivity of the enterprise. On the other hand, a high market share implies steady growth in sales, and the enterprise has sufficient cash flow to provide stable financial support for R&#x0026;D and innovation. Therefore, the provision of trade credit by enterprises can enhance their productivity by exerting the effect of market competition (<xref ref-type="bibr" rid="ref30">Liu et al., 2022b</xref>). In addition, during the sales stage, if an agricultural enterprise is unable to obtain timely replenishment of funds to be invested in the next cycle of production activities, it can apply for financing by using the accounts receivable derived from the sale of goods as a condition for payment of credit funds to commercial banks, which ensures the continuity of cash flow and is conducive to the enhancement of the enterprise&#x2019;s production efficiency (<xref ref-type="bibr" rid="ref6">Bia&#x0142;ek-Jaworska and Nehrebecka, 2016</xref>).</p>
<p>Trade credit possesses a distinct advantage in obtaining information (<xref ref-type="bibr" rid="ref38">Pepur et al., 2020</xref>), which agribusinesses can effectively monitor through commodity trading. This advantage enables trade credit to partially mitigate information asymmetry. Enterprises are motivated to innovate their goods proactively and enhance their TFP to maintain a steady supply-and-demand connection with their consumers and preserve their market position (<xref ref-type="bibr" rid="ref52">Summers and Wilson, 2003</xref>).</p>
<disp-quote>
<p><italic>H2a</italic>: Providing trade credit has a positive impact on corporate TFP and is conducive to the high-quality development of agricultural enterprises.</p>
</disp-quote>
<p>However, a large number of customers confront financial crises due to poor management. In that case, the trade credit funds provided by the company are difficult to recover, resulting in the company lacking funds for ongoing operations (<xref ref-type="bibr" rid="ref32">Mart&#x00ED;nez-Sola et al., 2014</xref>), which will have a negative impact on the company&#x2019;s total factor productivity. Therefore, the trade credit provided by the seller&#x2019;s company due to the coercive effect may cause involuntary losses to the company due to the buyer&#x2019;s default event. The breakdown of the capital chain will significantly reduce the size of the company&#x2019;s available funds and increase financing costs, thereby inhibiting the company&#x2019;s total factor productivity.</p>
<disp-quote>
<p><italic>H2b</italic>: Providing trade credit is not conducive to improving TFP and inhibits the high-quality development of agricultural enterprises.</p>
</disp-quote>
</sec>
</sec>
</sec>
<sec sec-type="methods" id="sec10">
<title>Methodology</title>
<sec id="sec11">
<title>Sample and data processing</title>
<p>This study&#x2019;s sample comprises agricultural enterprises publicly traded on the Shanghai and Shenzhen Stock Exchanges in China from 2002 to 2022. According to <xref ref-type="bibr" rid="ref7">Cao et al.&#x2019;s (2022)</xref> examination, the mentioned agricultural companies include agriculture (A01), forestry (A02), animal husbandry (A03), and fishery (A04) within the primary sector; agro-food processing (C13), food manufacturing (C14), and wine, beverage, and refined tea manufacturing (C15) within the secondary sector; and agriculture, forestry, animal husbandry, and fishery services (A05) within the tertiary sector. The sample was refined by (1) excluding companies classified as ST, &#x002A;ST, and PT; and (2) eliminating outliers and missing values. We applied a shrinkage method to continuous variables within the 1st and 99th percentiles of the sample to ensure the reliability of the regression results and account for extreme values. The screening process resulted in a total of 2,480 valid firm-year observations.</p>
</sec>
<sec id="sec12">
<title>Establishing the model and defining variables</title>
<p>In order to delve into the role of trade credit on the high-quality development of enterprises, this paper uses model <xref ref-type="disp-formula" rid="EQ1">(1)</xref> to measure the effect of obtaining trade credit on the high-quality development of agricultural enterprises, and model <xref ref-type="disp-formula" rid="EQ2">(2)</xref> to measure the impact of trade credit provided by agricultural enterprises on the high-quality development of enterprises.</p>
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<label>(1)</label>
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<label>(2)</label>
<mml:math id="M2">
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<mml:mi mathvariant="normal">F</mml:mi>
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</mml:msub>
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<p>Explained variable (TFP), the current measurement methods of high-quality development are mainly divided into two categories: using a single or comprehensive indicator measurement method. In recent years, total factor productivity (TFP) has emerged as a crucial metric for researchers to assess the development of companies. TFP contains a wealth of information about the company, such as product quality, enterprise business development, and enterprise innovation. In light of this, the study employs total factor productivity as a benchmark for appraising the high-quality development of agricultural enterprises. Nevertheless, the study devises a comprehensive, integrated evaluation system to gage the high-quality development of agricultural enterprises, taking into account the potential bias and constraints associated with relying solely on one indicator of total factor productivity.</p>
<p>Based on <xref ref-type="bibr" rid="ref26">Levinsohn and Petrin&#x2019;s (2003)</xref>, the LP method to calculate TFP better overcomes the endogeneity problem in the OLS estimation of total factor productivity. Therefore, this article uses the LP method in benchmark regression to calculate the total factor productivity of agricultural enterprises. To make the result more reliable, this article also conducts robustness testing using various enterprise total factor productivity measurement methods, such as the OP and GMM methods.</p>
<p>Explanatory variables are mainly categorized into obtaining trade credit (AP) and providing trade credit (AR), and AP is defined as (accounts receivable + notes receivable + prepayment)/total assets, and AR is defined as (accounts payable + notes payable + prepayment)/total assets.</p>
<p>This paper utilizes control variables to account for various factors that influence the total factor productivity of enterprises, including bank loans (Bank), enterprise scale (Size), cash flow ratio (Cashflow), financial leverage (Lev), return on total assets (Roa), proportion of fixed assets (Fixed), revenue growth rate (Growth), and company listed age (ListAge). The specific calculation method of control variables is in <xref ref-type="table" rid="tab1">Table 1</xref>. Furthermore, the variable <inline-formula>
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<mml:mi>&#x03BB;</mml:mi>
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</mml:msub>
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</inline-formula> in the model denotes the specific fixed effects of each unique business, <inline-formula>
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<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mi>t</mml:mi>
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</mml:mrow>
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</mml:math>
</inline-formula> stands for the random disturbance term.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Definitions of variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable type</th>
<th align="left" valign="top">Variable name</th>
<th align="left" valign="top">Variable definition</th>
<th align="left" valign="top">Calculation method</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">Explained variable</td>
<td align="left" valign="top">TFP_LP</td>
<td align="left" valign="top">Total factor productivity</td>
<td align="left" valign="middle">LP method</td>
</tr>
<tr>
<td align="left" valign="top">TFP_OP</td>
<td align="left" valign="top">Total factor productivity</td>
<td align="left" valign="middle">OP method</td>
</tr>
<tr>
<td align="left" valign="top">TFP_FE</td>
<td align="left" valign="top">Total factor productivity</td>
<td align="left" valign="middle">FE method</td>
</tr>
<tr>
<td align="left" valign="top">TFP_GMM</td>
<td align="left" valign="top">Total factor productivity</td>
<td align="left" valign="middle">GMM method</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Explanatory variables</td>
<td align="left" valign="middle">AP</td>
<td align="left" valign="middle">Trade credit acquisition</td>
<td align="left" valign="middle">(Accounts payable + notes payable + advance receipts)/total assets</td>
</tr>
<tr>
<td align="left" valign="middle">AR</td>
<td align="left" valign="middle">Trade credit provision</td>
<td align="left" valign="middle">(Accounts receivable + notes receivable + prepayments)/total assets</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="10">Control variables</td>
<td align="left" valign="top">Bank</td>
<td align="left" valign="middle">Bank loan</td>
<td align="left" valign="middle">The ratio of long and short-term borrowings to total assets of the company at the end of the year</td>
</tr>
<tr>
<td align="left" valign="top">Size</td>
<td align="left" valign="middle">Enterprise scale</td>
<td align="left" valign="middle">The natural logarithm of the total assets at the end of the year for a company.</td>
</tr>
<tr>
<td align="left" valign="top">Cashflow</td>
<td align="left" valign="middle">Cash flow ratio</td>
<td align="left" valign="middle">The ratio of net cash flow from operational operations to total assets.</td>
</tr>
<tr>
<td align="left" valign="top">Lev</td>
<td align="left" valign="middle">Company leverage</td>
<td align="left" valign="middle">Corporate leverage ratio</td>
</tr>
<tr>
<td align="left" valign="top">ROA</td>
<td align="left" valign="middle">Return on total assets</td>
<td align="left" valign="middle">Return on assets is the ratio of net profit to total assets at the end of a period for a company.</td>
</tr>
<tr>
<td align="left" valign="top">Fixed</td>
<td align="left" valign="middle">Proportion of fixed assets</td>
<td align="left" valign="middle">Net fixed assets divided by total assets</td>
</tr>
<tr>
<td align="left" valign="top">Growth</td>
<td align="left" valign="middle">Revenue growth rate</td>
<td align="left" valign="middle">Calculate year-over-year revenue growth by dividing the current year&#x2019;s operating revenue by the prior year&#x2019;s and subtracting 1.</td>
</tr>
<tr>
<td align="left" valign="top">ListAge</td>
<td align="left" valign="middle">Years listed</td>
<td align="left" valign="middle">ln(current year - year of listing +1)</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="left" valign="middle">Fixed year</td>
<td align="left" valign="middle">Year dummy variable</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="left" valign="middle">Fixed Firm</td>
<td align="left" valign="middle">Firm dummy variable</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec13">
<title>Descriptive statistics</title>
<p>This article employs a descriptive statistical analysis to examine each variable within the overall sample (<xref ref-type="table" rid="tab2">Table 2</xref>). The findings indicate that the mean TFP_LP for all enterprises is 7.986, with a maximum of 11.33 and a minimum of 4.507. This indicates a significant difference in the TFP_LP among agricultural businesses. On average, these companies get trade credit of 10.6% of their total assets and extend trade credit of 9.4%. Chinese agricultural firms typically have a Cashflow of 6.3%, Lev of 39.5%, ROA of 4.4%, and a proportion of fixed assets of 27.4%. In this study, we have categorized the data into three sets based on the levels of trade credit acquisition and supply. Subsequently, we have compared the group with the highest degree of trade credit acquisition to the group with the lowest level. <xref ref-type="fig" rid="fig1">Figure 1</xref> shows that the former group, with a considerable level of trade credit acquisition, exhibited a substantially higher average TFP than the lower group. Our preliminary statistical analysis results have shown that the affirmative impact of trade credit on businesses&#x2019; overall productivity. Within this context, it is noteworthy that in <xref ref-type="fig" rid="fig2">Figure 2</xref>, the TFP of the group with a higher provision of trade credit was significantly lower before 2008 than that of the group with a lower provision. This discrepancy can be attributed to the Chinese government&#x2019;s implementation of the People&#x2019;s Republic of China on Property Rights in 2007, which offered a certain level of safeguarding for the provision of trade credit by enterprises. Building upon this critical finding, the paper later undertakes a policy analysis utilizing the double-difference methodology, delving deeper into the effects and implications of this specific policy and occurrence.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Descriptive statistics of variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable type</th>
<th align="left" valign="top">Variable name</th>
<th align="center" valign="top"><italic>N</italic></th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">p25</th>
<th align="center" valign="top">p50</th>
<th align="center" valign="top">p75</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">Explained variable</td>
<td align="left" valign="top">TFP_LP</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">7.986</td>
<td align="center" valign="top">4.507</td>
<td align="center" valign="top">11.33</td>
<td align="center" valign="top">1.052</td>
<td align="center" valign="top">7.279</td>
<td align="center" valign="top">7.918</td>
<td align="center" valign="top">8.610</td>
</tr>
<tr>
<td align="left" valign="top">TFP_OP</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">6.354</td>
<td align="center" valign="top">3.315</td>
<td align="center" valign="top">9.142</td>
<td align="center" valign="top">0.886</td>
<td align="center" valign="top">5.749</td>
<td align="center" valign="top">6.341</td>
<td align="center" valign="top">6.888</td>
</tr>
<tr>
<td align="left" valign="top">TFP_FE</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">11.09</td>
<td align="center" valign="top">7.012</td>
<td align="center" valign="top">15.49</td>
<td align="center" valign="top">1.317</td>
<td align="center" valign="top">10.26</td>
<td align="center" valign="top">10.98</td>
<td align="center" valign="top">11.86</td>
</tr>
<tr>
<td align="left" valign="top">TFP_GMM</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">5.293</td>
<td align="center" valign="top">2.386</td>
<td align="center" valign="top">7.905</td>
<td align="center" valign="top">0.828</td>
<td align="center" valign="top">4.728</td>
<td align="center" valign="top">5.287</td>
<td align="center" valign="top">5.802</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Explanatory variables</td>
<td align="left" valign="middle">AP</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.106</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0.751</td>
<td align="center" valign="top">0.077</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">0.089</td>
<td align="center" valign="top">0.137</td>
</tr>
<tr>
<td align="left" valign="middle">AR</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.094</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0.661</td>
<td align="center" valign="top">0.082</td>
<td align="center" valign="top">0.035</td>
<td align="center" valign="top">0.073</td>
<td align="center" valign="top">0.126</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="8">Control variables</td>
<td align="left" valign="top">Bank</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.161</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0.826</td>
<td align="center" valign="top">0.150</td>
<td align="center" valign="top">0.0150</td>
<td align="center" valign="top">0.136</td>
<td align="center" valign="top">0.262</td>
</tr>
<tr>
<td align="left" valign="top">Size</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">21.86</td>
<td align="center" valign="top">19.18</td>
<td align="center" valign="top">26.27</td>
<td align="center" valign="top">1.086</td>
<td align="center" valign="top">21.06</td>
<td align="center" valign="top">21.66</td>
<td align="center" valign="top">22.48</td>
</tr>
<tr>
<td align="left" valign="top">Cashflow</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.063</td>
<td align="center" valign="top">&#x2212;0.235</td>
<td align="center" valign="top">0.283</td>
<td align="center" valign="top">0.082</td>
<td align="center" valign="top">0.0150</td>
<td align="center" valign="top">0.060</td>
<td align="center" valign="top">0.112</td>
</tr>
<tr>
<td align="left" valign="top">Lev</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.395</td>
<td align="center" valign="top">0.032</td>
<td align="center" valign="top">0.908</td>
<td align="center" valign="top">0.183</td>
<td align="center" valign="top">0.257</td>
<td align="center" valign="top">0.385</td>
<td align="center" valign="top">0.525</td>
</tr>
<tr>
<td align="left" valign="top">ROA</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">&#x2212;0.276</td>
<td align="center" valign="top">0.257</td>
<td align="center" valign="top">0.072</td>
<td align="center" valign="top">0.011</td>
<td align="center" valign="top">0.038</td>
<td align="center" valign="top">0.079</td>
</tr>
<tr>
<td align="left" valign="top">Fixed</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.274</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.806</td>
<td align="center" valign="top">0.140</td>
<td align="center" valign="top">0.172</td>
<td align="center" valign="top">0.256</td>
<td align="center" valign="top">0.359</td>
</tr>
<tr>
<td align="left" valign="top">Growth</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">0.153</td>
<td align="center" valign="top">&#x2212;0.652</td>
<td align="center" valign="top">3.808</td>
<td align="center" valign="top">0.369</td>
<td align="center" valign="top">&#x2212;0.010</td>
<td align="center" valign="top">0.107</td>
<td align="center" valign="top">0.251</td>
</tr>
<tr>
<td align="left" valign="top">ListAge</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2.178</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">3.401</td>
<td align="center" valign="top">0.733</td>
<td align="center" valign="top">1.609</td>
<td align="center" valign="top">2.303</td>
<td align="center" valign="top">2.773</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>TFP group statistical chart (trade credit acquisition).</p>
</caption>
<graphic xlink:href="fsufs-08-1396739-g001.tif"/>
</fig>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>TFP group statistical chart (trade credit supply).</p>
</caption>
<graphic xlink:href="fsufs-08-1396739-g002.tif"/>
</fig>
</sec>
<sec id="sec14">
<title>Empirical results and analysis</title>
<sec id="sec15">
<title>Benchmark regression</title>
<p>According to <xref ref-type="table" rid="tab3">Table 3</xref>, the 1 and 2 columns present results without factoring in control variables, while the 3 and 4 columns consider control variables but neglect to consider the year and individual fixed factors. The 5 and 6 columns incorporate both control variables and fixed factors. <xref ref-type="table" rid="tab3">Table 3</xref> results show that the acquisition and provision of trade credit significantly enhance businesses&#x2019; overall productivity. At the 1% level, the majority of the calculated coefficients are significantly positive. Furthermore, the model results indicate that obtaining trade credit has a more significant positive impact on total factor productivity than the supply of trade credit. The initial regression findings provide evidence that supports H1 and H2a, suggesting that trade credit beneficially influences improving the overall efficiency of businesses (<xref ref-type="table" rid="tab4">Table 4</xref>).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Results of the baseline regression.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">4.246<sup>&#x002A;&#x002A;&#x002A;</sup> (0.242)</td>
<td/>
<td align="center" valign="top">2.528<sup>&#x002A;&#x002A;&#x002A;</sup> (0.193)</td>
<td/>
<td align="center" valign="top">2.425<sup>&#x002A;&#x002A;&#x002A;</sup> (0.189)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td align="center" valign="top">0.063 (0.267)</td>
<td/>
<td align="center" valign="top">0.553<sup>&#x002A;&#x002A;&#x002A;</sup> (0.157)</td>
<td/>
<td align="center" valign="top">1.194<sup>&#x002A;&#x002A;&#x002A;</sup> (0.159)</td>
</tr>
<tr>
<td align="left" valign="top">Bank</td>
<td/>
<td/>
<td align="center" valign="top">0.334<sup>&#x002A;&#x002A;</sup> (0.148)</td>
<td align="center" valign="top">&#x2212;0.737<sup>&#x002A;&#x002A;&#x002A;</sup> (0.128)</td>
<td align="center" valign="top">0.160 (0.142)</td>
<td align="center" valign="top">&#x2212;0.875<sup>&#x002A;&#x002A;&#x002A;</sup> (0.120)</td>
</tr>
<tr>
<td align="left" valign="top">Size</td>
<td/>
<td/>
<td align="center" valign="top">0.703<sup>&#x002A;&#x002A;&#x002A;</sup> (0.012)</td>
<td align="center" valign="top">0.684<sup>&#x002A;&#x002A;&#x002A;</sup> (0.013)</td>
<td align="center" valign="top">0.662<sup>&#x002A;&#x002A;&#x002A;</sup> (0.012)</td>
<td align="center" valign="top">0.653<sup>&#x002A;&#x002A;&#x002A;</sup> (0.012)</td>
</tr>
<tr>
<td align="left" valign="top">Cashflow</td>
<td/>
<td/>
<td align="center" valign="top">0.732<sup>&#x002A;&#x002A;&#x002A;</sup> (0.174)</td>
<td align="center" valign="top">0.923<sup>&#x002A;&#x002A;&#x002A;</sup> (0.180)</td>
<td align="center" valign="top">0.835<sup>&#x002A;&#x002A;&#x002A;</sup> (0.160)</td>
<td align="center" valign="top">1.134<sup>&#x002A;&#x002A;&#x002A;</sup> (0.165)</td>
</tr>
<tr>
<td align="left" valign="top">Lev</td>
<td/>
<td/>
<td align="center" valign="top">0.111 (0.134)</td>
<td align="center" valign="top">1.227<sup>&#x002A;&#x002A;&#x002A;</sup> (0.105)</td>
<td align="center" valign="top">0.218<sup>&#x002A;</sup> (0.126)</td>
<td align="center" valign="top">1.235<sup>&#x002A;&#x002A;&#x002A;</sup> (0.096)</td>
</tr>
<tr>
<td align="left" valign="top">Roa</td>
<td/>
<td/>
<td align="center" valign="top">1.996<sup>&#x002A;&#x002A;&#x002A;</sup> (0.215)</td>
<td align="center" valign="top">2.250<sup>&#x002A;&#x002A;&#x002A;</sup> (0.221)</td>
<td align="center" valign="top">2.082<sup>&#x002A;&#x002A;&#x002A;</sup> (0.203)</td>
<td align="center" valign="top">2.251<sup>&#x002A;&#x002A;&#x002A;</sup> (0.207)</td>
</tr>
<tr>
<td align="left" valign="top">Fixed</td>
<td/>
<td/>
<td align="center" valign="top">&#x2212;0.448<sup>&#x002A;&#x002A;&#x002A;</sup> (0.083)</td>
<td align="center" valign="top">&#x2212;0.380<sup>&#x002A;&#x002A;&#x002A;</sup> 0.087)</td>
<td align="center" valign="top">&#x2212;0.513<sup>&#x002A;&#x002A;&#x002A;</sup> (0.079)</td>
<td align="center" valign="top">&#x2212;0.389<sup>&#x002A;&#x002A;&#x002A;</sup> (0.084)</td>
</tr>
<tr>
<td align="left" valign="top">Growth</td>
<td/>
<td/>
<td align="center" valign="top">0.184<sup>&#x002A;&#x002A;&#x002A;</sup> (0.031)</td>
<td align="center" valign="top">0.180<sup>&#x002A;&#x002A;&#x002A;</sup> (0.032)</td>
<td align="center" valign="top">0.160<sup>&#x002A;&#x002A;&#x002A;</sup> (0.029)</td>
<td align="center" valign="top">0.149<sup>&#x002A;&#x002A;&#x002A;</sup> (0.029)</td>
</tr>
<tr>
<td align="left" valign="top">ListAge</td>
<td/>
<td/>
<td align="center" valign="top">&#x2212;0.019 (0.017)</td>
<td align="center" valign="top">&#x2212;0.034<sup>&#x002A;&#x002A;</sup> (0.017)</td>
<td align="center" valign="top">&#x2212;0.015 (0.016)</td>
<td align="center" valign="top">&#x2212;0.028<sup>&#x002A;</sup> (0.017)</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">6.528<sup>&#x002A;&#x002A;&#x002A;</sup> (0.137)</td>
<td align="center" valign="top">6.858<sup>&#x002A;&#x002A;&#x002A;</sup> (0.155)</td>
<td align="center" valign="top">&#x2212;7.736<sup>&#x002A;&#x002A;&#x002A;</sup> (0.248)</td>
<td align="center" valign="top">&#x2212;7.378<sup>&#x002A;&#x002A;&#x002A;</sup> (0.261)</td>
<td align="center" valign="top">&#x2212;7.262<sup>&#x002A;&#x002A;&#x002A;</sup> (0.247)</td>
<td align="center" valign="top">&#x2212;7.324<sup>&#x002A;&#x002A;&#x002A;</sup> (0.256)</td>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.293</td>
<td align="center" valign="top">0.206</td>
<td align="center" valign="top">0.730</td>
<td align="center" valign="top">0.713</td>
<td align="center" valign="top">0.780</td>
<td align="center" valign="top">0.771</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Substituting Variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">TFP(OP)</th>
<th align="center" valign="top">TFP(OP)</th>
<th align="center" valign="top">TFP(GMM)</th>
<th align="center" valign="top">TFP(GMM)</th>
<th align="center" valign="top">TFP(FE)</th>
<th align="center" valign="top">TFP(FE)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">2.463<sup>&#x002A;&#x002A;&#x002A;</sup> (0.184)</td>
<td/>
<td align="center" valign="top">2.479<sup>&#x002A;&#x002A;&#x002A;</sup> (0.182)</td>
<td/>
<td align="center" valign="top">2.371<sup>&#x002A;&#x002A;&#x002A;</sup> (0.195)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td align="center" valign="top">0.939<sup>&#x002A;&#x002A;&#x002A;</sup> (0.156)</td>
<td/>
<td align="center" valign="top">0.961<sup>&#x002A;&#x002A;&#x002A;</sup> (0.155)</td>
<td/>
<td align="center" valign="top">1.251<sup>&#x002A;&#x002A;&#x002A;</sup> (0.164)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;3.878<sup>&#x002A;&#x002A;&#x002A;</sup> (0.241)</td>
<td align="center" valign="top">&#x2212;3.856<sup>&#x002A;&#x002A;&#x002A;</sup> (0.251)</td>
<td align="center" valign="top">&#x2212;3.066<sup>&#x002A;&#x002A;&#x002A;</sup> (0.239)</td>
<td align="center" valign="top">&#x2212;3.049<sup>&#x002A;&#x002A;&#x002A;</sup> (0.249)</td>
<td align="center" valign="top">&#x2212;10.547<sup>&#x002A;&#x002A;&#x002A;</sup> (0.255)</td>
<td align="center" valign="top">&#x2212;10.633<sup>&#x002A;&#x002A;&#x002A;</sup> (0.263)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.702</td>
<td align="center" valign="top">0.685</td>
<td align="center" valign="top">0.667</td>
<td align="center" valign="top">0.647</td>
<td align="center" valign="top">0.851</td>
<td align="center" valign="top">0.845</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec16">
<title>Robustness testing</title>
<sec id="sec17">
<title>Substitution of variable measurement method</title>
<p>This study replaces the TFP measure and, following <xref ref-type="bibr" rid="ref28">Li and Li (2020)</xref>, employs the OP, GMM, and FE methods. This method also produces comparable results, in <xref ref-type="table" rid="tab4">Table 4</xref>, with trade credit accessibility and availability showing significant beneficial effects on enterprises&#x2019; total factor productivity at the 1% level. This supports the earlier findings of the benchmark regression conducted in this study.</p>
</sec>
</sec>
<sec id="sec18">
<title>Two-stage least squares method</title>
<p>While the research has controlled the crucial aspects that might impact the overall productivity of firms, it is still possible that the model may overlook essential variables. In addition, the development of enterprises will expand their access to finance from banks, increasing the trade credit supply. Thus, trade credit may reversely affect enterprises&#x2019; total factor productivity.</p>
<p>This study incorporates an instrumental variable, AP/AR Industry, which derives from the average of past trade credit acquisition and provision within the firm&#x2019;s industry, to mitigate the impact of endogeneity on the study findings. <xref ref-type="bibr" rid="ref33">Mei and Cheng (2021)</xref> suggest re-evaluating the model regression results using the two-stage least squares (2SLS) technique. Regarding correlation, enterprises&#x2019; business and operating features are comparable, implying that their supply and obtaining of trade credit are similar to those of other enterprises in the same sector. Regarding exogeneity, the industry mean refers to a variable at the industry level. The industry average of company credit has less association with the firm&#x2019;s micro-level factors, thereby fulfilling the exogeneity principle.</p>
<p>During the preliminary phase, we observed that the estimated coefficients of the instrumental and corresponding explanatory variables have a remarkable significance level, with a <italic>p</italic>-value lower than 0.01. This serves as evidence that the instrumental variables effectively elucidate the endogenous variables. The <italic>F</italic>-value exceeds 10, indicating that the instrumental variables fulfill the necessary criteria and that there are no weak instrumental variables. The research results in <xref ref-type="table" rid="tab5">Table 5</xref> show that providing and obtaining trade credit has a positive impact on the total factor productivity of enterprises, which is consistent with the results of the baseline regression of this study.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Results of the least squares method.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">AP</th>
<th align="center" valign="top">AR</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP (IV)</td>
<td align="center" valign="top">0.6984&#x002A;&#x002A;&#x002A; (0.021)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR (IV)</td>
<td/>
<td align="center" valign="top">0.8268&#x002A;&#x002A;&#x002A; (0.022)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AP</td>
<td/>
<td/>
<td align="center" valign="top">4.9250&#x002A;&#x002A;&#x002A; (0.345)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">1.4637&#x002A;&#x002A;&#x002A; (0.259)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">0.0936&#x002A;&#x002A;&#x002A; (0.022)</td>
<td align="center" valign="top">&#x2212;0.0230 (0.027)</td>
<td align="center" valign="top">&#x2212;7.1422&#x002A;&#x002A;&#x002A; (0.263)</td>
<td align="center" valign="top">&#x2212;6.8984&#x002A;&#x002A;&#x002A; (0.261)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
<td align="center" valign="top">2,480</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.681</td>
<td align="center" valign="top">0.596</td>
<td align="center" valign="top">0.764</td>
<td align="center" valign="top">0.770</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec19">
<title>Excluding the effects of the financial crisis</title>
<p>Amidst the widespread economic upheaval of 2008, businesses across the globe were reeling from the ramifications of the financial crisis. The adverse effects of this crisis were profound, manifesting in reduced investments and depleted production rates (<xref ref-type="bibr" rid="ref50">Shuai et al., 2023</xref>). As such, our study exclusively focuses on post-2010 data. Notably, our empirical findings reveal that even during periods free of financial crises, trade credit remains a crucial catalyst for enhanced total factor productivity in firms.</p>
</sec>
<sec id="sec20">
<title>Difference in differences method</title>
<p>As a growing market nation, China has implemented and revised several regulations to enhance firms&#x2019; external business environment. Specifically, the Property Law was officially announced in March 2007. China&#x2019;s Law on Property Rights has established comprehensive regulations on security rights, mortgages, and pledges, resulting in a well-structured and comprehensive property rights framework. As seen in <xref ref-type="fig" rid="fig2">Figure 2</xref> above, the group with a higher provision of trade credit had a lower TFP than the group with a lower provision of trade credit before 2007, which may be mainly because the reform of security rights marked by the enactment of the Property Law in 2007 has taken measures to protect the funds provided by enterprises for trade credit. The Chinese law clearly states that inventory (Article 108) and accounts receivable (Article 223) can be mortgaged and pledged. The law explicitly states inventories (Article 108) and receivables (Article 223) can be mortgaged and pledged. According to research by <xref ref-type="bibr" rid="ref22">Jun et al. (2017)</xref>, the Property Law provides appropriate safeguards for creditors and encourages firms to enhance their innovative capabilities. This article employs the Property Law for quasi-natural experiment analysis to investigate the alterations in firms&#x2019; total factor productivity level. By using the difference-in-differences model and analyzing the disparities between the experimental and control groups, it is possible to mitigate the endogeneity problem to some degree and obtain a more accurate measurement of the causal link between the two. The results from applying the double differencing method in column 3 of <xref ref-type="table" rid="tab5">Table 5</xref> demonstrate that the productivity level is more significant in the group with a higher provision of trade credit. Additionally, this paper conducts a placebo test on the policy time in advance, and the results in the 4th column of <xref ref-type="table" rid="tab6">Table 6</xref> are not statistically significant, which confirms the reliability of the outcomes. Adopting the difference-in-differences model also further overcomes the interference of endogeneity concerns, confirming the robustness of the benchmark regression results.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Difference-in-difference test results and lagged test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">2.146<sup>&#x002A;&#x002A;&#x002A;</sup> (0.342)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td align="center" valign="top">2.693<sup>&#x002A;&#x002A;&#x002A;</sup> (0.299)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">DID</td>
<td/>
<td/>
<td align="center" valign="top">0.283<sup>&#x002A;&#x002A;&#x002A;</sup> (0.064)</td>
<td align="center" valign="top">0.111 (0.077)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">TIME</td>
<td rowspan="2"/>
<td rowspan="2"/>
<td align="center" valign="top" rowspan="2">0.756<sup>&#x002A;&#x002A;&#x002A;</sup> (0.144)</td>
<td align="center" valign="top" rowspan="2">0.698<sup>&#x002A;&#x002A;&#x002A;</sup> (0.117)</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">TREATED</td>
<td/>
<td/>
<td align="center" valign="top">0.026 (0.062)</td>
<td align="center" valign="top">0.071 (0.078)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">L.AP</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">2.379<sup>&#x002A;&#x002A;&#x002A;</sup> (0.177)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">L.AR</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.707<sup>&#x002A;&#x002A;</sup> (0.163)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;7.178<sup>&#x002A;&#x002A;&#x002A;</sup> (0.447)</td>
<td align="center" valign="top">&#x2212;6.976<sup>&#x002A;&#x002A;&#x002A;</sup> (0.432)</td>
<td align="center" valign="top">&#x2212;2.965<sup>&#x002A;&#x002A;&#x002A;</sup> (0.552)</td>
<td align="center" valign="top">&#x2212;3.618<sup>&#x002A;&#x002A;&#x002A;</sup> (0.439)</td>
<td align="center" valign="top">&#x2212;7.105<sup>&#x002A;&#x002A;&#x002A;</sup> (0.259)</td>
<td align="center" valign="top">&#x2212;6.975<sup>&#x002A;&#x002A;&#x002A;</sup> (0.271)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">812</td>
<td align="center" valign="top">812</td>
<td align="center" valign="top">1,090</td>
<td align="center" valign="top">1,090</td>
<td align="center" valign="top">2,238</td>
<td align="center" valign="top">2,238</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.760</td>
<td align="center" valign="top">0.772</td>
<td align="center" valign="top">0.757</td>
<td align="center" valign="top">0.738</td>
<td align="center" valign="top">0.790</td>
<td align="center" valign="top">0.774</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec21">
<title>Consider hysteresis effects</title>
<p>Firms&#x2019; innovation achievements are strongly linked to the enhancement of overall efficiency. However, there is a delay between the inputs made toward innovation and the actual outcomes of innovation. Notably, the production of high-quality innovations requires a longer duration. As a result, there might be a temporal mismatch between the availability of trade credit funding and the firms&#x2019; overall efficiency. Consequently, we conduct a regression analysis on the whole factor productivity of businesses using a one-period lag. The results in rows 5 and 6 of <xref ref-type="table" rid="tab6">Table 6</xref> show that trade credit still positively affects enterprises&#x2019; total factor productivity. This reinforces the robustness and dependability of the study&#x2019;s findings.</p>
</sec>
<sec id="sec22">
<title>Heterogeneity test</title>
<sec id="sec23">
<title>Distinguishing between industries</title>
<p>Large publicly traded companies in the agricultural industry encompass various businesses, including agriculture, forestry, animal husbandry, and fishery operations. These include secondary industries such as food manufacturing, agricultural food processing, wine production, beverage production, and refined tea production. In addition, there are service companies related to agriculture, forestry, animal husbandry, and fishery in the tertiary industry. However, due to the limited size of the tertiary sector sample, this article primarily focuses on categorizing primary and secondary industrial divisions. According to <xref ref-type="table" rid="tab7">Table 7</xref>, access to trade credit facilitates TFP in the fisheries, agriculture, and agricultural food processing sectors. However, its influence on the food manufacturing industry is less significant, and it even has a negative effect on the animal husbandry sector. On the other hand, the result in <xref ref-type="table" rid="tab8">Table 8</xref> shows that trade credit provision positively impacts TFP in the fisheries and animal husbandry sectors but has no significant influence on the agricultural, forestry, and food manufacturing industries. The results in <xref ref-type="table" rid="tab9">Table 9</xref> reveal that trade credit significantly impacts TFP in the primary industry. This paper posits that the low earnings and elevated business risks of conventional agricultural businesses primarily hinder their ability to secure funding from banks and financial institutions. Therefore, these enterprises often rely on inter-enterprise trade credit funds for development. Additionally, companies in the primary sector tend to offer similar goods, leading to increased competition and a stronger incentive to offer trade credit to stabilize sales or gain a larger market share.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Segmentation - trade credit acquisition.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">A01</th>
<th align="center" valign="top">A02</th>
<th align="center" valign="top">A03</th>
<th align="center" valign="top">A04</th>
<th align="center" valign="top">C13</th>
<th align="center" valign="top">C14</th>
<th align="center" valign="top">C15</th>
</tr>
<tr>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">2.838<sup>&#x002A;&#x002A;&#x002A;</sup> (0.390)</td>
<td align="center" valign="top">2.067<sup>&#x002A;&#x002A;</sup> (1.006)</td>
<td align="center" valign="top">&#x2212;1.648<sup>&#x002A;</sup> (0.921)</td>
<td align="center" valign="top">6.102<sup>&#x002A;&#x002A;</sup> (1.257)</td>
<td align="center" valign="top">2.973<sup>&#x002A;&#x002A;&#x002A;</sup> (0.428)</td>
<td align="center" valign="top">0.687<sup>&#x002A;&#x002A;</sup> (0.269)</td>
<td align="center" valign="top">1.637<sup>&#x002A;&#x002A;&#x002A;</sup> (0.311)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;6.967<sup>&#x002A;&#x002A;&#x002A;</sup> (0.869)</td>
<td align="center" valign="top">&#x2212;11.181<sup>&#x002A;&#x002A;&#x002A;</sup> (1.801)</td>
<td align="center" valign="top">&#x2212;6.027<sup>&#x002A;&#x002A;&#x002A;</sup> (0.938)</td>
<td align="center" valign="top">5.628<sup>&#x002A;&#x002A;&#x002A;</sup> (1.465)</td>
<td align="center" valign="top">&#x2212;3.164<sup>&#x002A;&#x002A;&#x002A;</sup> (0.659)</td>
<td align="center" valign="top">&#x2212;4.928<sup>&#x002A;&#x002A;&#x002A;</sup> (0.551)</td>
<td align="center" valign="top">&#x2212;6.873<sup>&#x002A;&#x002A;</sup> (0.370)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">299</td>
<td align="center" valign="top">67</td>
<td align="center" valign="top">164</td>
<td align="center" valign="top">109</td>
<td align="center" valign="top">628</td>
<td align="center" valign="top">521</td>
<td align="center" valign="top">657</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.758</td>
<td align="center" valign="top">0.700</td>
<td align="center" valign="top">0.674</td>
<td align="center" valign="top">0.556</td>
<td align="center" valign="top">0.612</td>
<td align="center" valign="top">0.791</td>
<td align="center" valign="top">0.869</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Segmentation - trade credit provision.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">A01</th>
<th align="center" valign="top">A02</th>
<th align="center" valign="top">A03</th>
<th align="center" valign="top">A04</th>
<th align="center" valign="top">C13</th>
<th align="center" valign="top">C14</th>
<th align="center" valign="top">C15</th>
</tr>
<tr>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AR</td>
<td align="center" valign="top">0.436 (0.397)</td>
<td align="center" valign="top">0.041 (0.741)</td>
<td align="center" valign="top">3.199<sup>&#x002A;&#x002A;&#x002A;</sup> (1.038)</td>
<td align="center" valign="top">2.453<sup>&#x002A;&#x002A;&#x002A;</sup> (0.749)</td>
<td align="center" valign="top">1.444<sup>&#x002A;&#x002A;&#x002A;</sup> (0.366)</td>
<td align="center" valign="top">&#x2212;0.294 (0.268)</td>
<td align="center" valign="top">0.544<sup>&#x002A;&#x002A;</sup> (0.252)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;4.935<sup>&#x002A;&#x002A;&#x002A;</sup> (1.005)</td>
<td align="center" valign="top">&#x2212;12.512<sup>&#x002A;&#x002A;&#x002A;</sup> (1.811)</td>
<td align="center" valign="top">&#x2212;7.320<sup>&#x002A;&#x002A;&#x002A;</sup> (1.029)</td>
<td align="center" valign="top">3.054<sup>&#x002A;</sup> (1.717)</td>
<td align="center" valign="top">&#x2212;2.789<sup>&#x002A;&#x002A;&#x002A;</sup> (0.672)</td>
<td align="center" valign="top">&#x2212;4.928<sup>&#x002A;&#x002A;&#x002A;</sup> (0.557)</td>
<td align="center" valign="top">&#x2212;6.759<sup>&#x002A;&#x002A;&#x002A;</sup> (0.383)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">299</td>
<td align="center" valign="top">67</td>
<td align="center" valign="top">164</td>
<td align="center" valign="top">109</td>
<td align="center" valign="top">628</td>
<td align="center" valign="top">521</td>
<td align="center" valign="top">657</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.725</td>
<td align="center" valign="top">0.698</td>
<td align="center" valign="top">0.719</td>
<td align="center" valign="top">0.586</td>
<td align="center" valign="top">0.594</td>
<td align="center" valign="top">0.797</td>
<td align="center" valign="top">0.864</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Segmentation industries.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">Primary industry</th>
<th align="center" valign="top">Secondary industry</th>
<th align="center" valign="top">Primary industry</th>
<th align="center" valign="top">Secondary industry</th>
</tr>
<tr>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">1.980<sup>&#x002A;&#x002A;&#x002A;</sup> (0.263)</td>
<td align="center" valign="top">1.003<sup>&#x002A;&#x002A;&#x002A;</sup> (0.192)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td/>
<td align="center" valign="top">1.076<sup>&#x002A;&#x002A;&#x002A;</sup> (0.245)</td>
<td align="center" valign="top">0.437<sup>&#x002A;&#x002A;&#x002A;</sup> (0.164)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;3.704<sup>&#x002A;&#x002A;&#x002A;</sup> (0.619)</td>
<td align="center" valign="top">&#x2212;4.176<sup>&#x002A;&#x002A;&#x002A;</sup> (0.363)</td>
<td align="center" valign="top">&#x2212;4.129<sup>&#x002A;&#x002A;&#x002A;</sup> (0.633)</td>
<td align="center" valign="top">&#x2212;3.974<sup>&#x002A;&#x002A;&#x002A;</sup> (0.365)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">674</td>
<td align="center" valign="top">1,806</td>
<td align="center" valign="top">674</td>
<td align="center" valign="top">1,806</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.675</td>
<td align="center" valign="top">0.708</td>
<td align="center" valign="top">0.655</td>
<td align="center" valign="top">0.709</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec24">
<title>Distinguish the life cycle of enterprises</title>
<p>The enterprise life cycle hypothesis pertains to the dynamic trajectory of a business&#x2019;s development and expansion, encompassing three distinct stages: growth, maturity, and decline. According to the hypothesis, firms at different phases have distinct financial demands and resource usage rates. The effect of trade credit on company growth may differ based on the business&#x2019;s life cycle stage.</p>
<p>For firms in the growth stage, the findings indicate that having access to commercial finance significantly impacts productivity. From the standpoint of obtaining trade credit, businesses in the growth phase face limited access to external financial resources. Using trade credit financing may effectively reduce funding limits and provide &#x201C;incentive effects&#x201D; that promote high-quality firm development. From the perspective of providing trade credit, enterprises face a shortage of funds during the growth stage. To quickly expand their market, they tend to offer more trade credit to clients. However, this practice hampers the allocation of funds toward research and development (R&#x0026;D), thereby hindering the overall improvement of the enterprises&#x2019; total factor productivity.</p>
<p>For mature firms, both obtaining and supplying trade credit significantly increase their TFP, and mature firms have a relatively stable market share and substantial profits relative to growth-phase firms. On the one hand, acquiring trade credit provides mature firms with funds for innovation. On the other hand, mature firms are more capable of lowering transaction costs based on stable markets and sales channels, making the provision of trade credit more stable and profitable, and promoting firms&#x2019; high-quality development.</p>
<p>For declining firms, formal financing is relatively difficult. It relies more on trade credit funding from business transactions, so that trade credit financing funds for declining firms may support firms in innovation and improve their total factor productivity. In addition, declining firms&#x2019; provision of trade credit further deteriorates firms&#x2019; financial flows, which is not conducive to high-quality growth.</p>
<sec id="sec25">
<title>Distinguishing supplier concentration</title>
<p>Supplier concentration can significantly affect the availability of trade credit. Supplier groups are the controllers of raw materials for enterprises and usually have strong negotiating power. When supplier concentration is low, agricultural enterprises have a stronger bargaining position and can acquire more advantageous trading terms, such as more extended payment periods and higher accounts payable. This allows them to obtain more trade credit than they provide. As the concentration of suppliers increases, the voice of enterprises gradually decreases when suppliers tend to occupy a dominant position, and the trade credit that enterprises obtain from suppliers decreases. High supplier concentration might lead to suppliers demanding early payment, worsening the enterprise&#x2019;s financial restrictions and hindering its high-quality growth.</p>
<p>Thus, this article argues that the function of trade credit financing may vary among enterprises with varying levels of supplier concentration. Columns 1&#x2013;3 of <xref ref-type="table" rid="tab10">Table 10</xref> demonstrate that trade credit financing has the most substantial impact on enterprises with low customer concentration, and this impact is statistically significant at the 1% level.</p>
<table-wrap position="float" id="tab10">
<label>Table 10</label>
<caption>
<p>Distinguishing business life cycles.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">Growth</th>
<th align="center" valign="top">Maturity</th>
<th align="center" valign="top">Decline</th>
<th align="center" valign="top">Growth</th>
<th align="center" valign="top">Maturity</th>
<th align="center" valign="top">Decline</th>
</tr>
<tr>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">2.958<sup>&#x002A;&#x002A;&#x002A;</sup> (0.369)</td>
<td align="center" valign="top">2.370<sup>&#x002A;&#x002A;</sup> (0.296)</td>
<td align="center" valign="top">2.063<sup>&#x002A;&#x002A;&#x002A;</sup> (0.421)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.549 (0.343)</td>
<td align="center" valign="top">1.551<sup>&#x002A;&#x002A;&#x002A;</sup> (0.237)</td>
<td align="center" valign="top">0.156 (0.337)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;6.843<sup>&#x002A;&#x002A;&#x002A;</sup> (0.536)</td>
<td align="center" valign="top">&#x2212;7.505<sup>&#x002A;&#x002A;&#x002A;</sup> (0.395)</td>
<td align="center" valign="top">&#x2212;8.071<sup>&#x002A;&#x002A;&#x002A;</sup> (0.526)</td>
<td align="center" valign="top">&#x2212;6.576<sup>&#x002A;&#x002A;&#x002A;</sup> (0.568)</td>
<td align="center" valign="top">&#x2212;7.522<sup>&#x002A;&#x002A;&#x002A;</sup> (0.400)</td>
<td align="center" valign="top">&#x2212;4.251<sup>&#x002A;&#x002A;&#x002A;</sup> (0.646)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">550</td>
<td align="center" valign="top">1,137</td>
<td align="center" valign="top">559</td>
<td align="center" valign="top">550</td>
<td align="center" valign="top">1,137</td>
<td align="center" valign="top">559</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.799</td>
<td align="center" valign="top">0.758</td>
<td align="center" valign="top">0.811</td>
<td align="center" valign="top">0.774</td>
<td align="center" valign="top">0.754</td>
<td align="center" valign="top">0.831</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec26">
<title>Distinguishing customer concentration</title>
<p>Customer concentration refers to allocating an enterprise&#x2019;s revenue among its various client groups over a specific time frame. We commonly measure it by calculating the proportion of the enterprise&#x2019;s total revenue that its top five customers generate during that period. Customer concentration can have both advantageous and perilous implications for trade credit. Positively, higher customer concentration allows for better information sharing between the company and the customer, reducing information asymmetry. This is beneficial for ensuring fund recovery, effectively allocating funds for the company&#x2019;s development, and improving TFP. However, the customer concentration also has detrimental impacts; a high customer concentration can increase the client&#x2019;s negotiating power.</p>
<p>The findings from <xref ref-type="table" rid="tab11">Table 11</xref> indicate that the provision of trade credit has a substantial role in fostering the high-quality growth of companies with low and medium customer concentration levels. This result is consistent with the study of <xref ref-type="bibr" rid="ref14">Dong et al. (2021)</xref>, where firms with high customer concentration face the problem of blackmail from their primary customers, which leads to financial difficulties and higher financing costs, thus weakening the incentives for firms to innovate and is not conducive to the improvement of their total factor productivity.</p>
<table-wrap position="float" id="tab11">
<label>Table 11</label>
<caption>
<p>Distinguish between supplier concentration and customer concentration.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="3"/>
<th align="center" valign="top" colspan="3">Supplier Concentration</th>
<th align="center" valign="top" colspan="3">Customer Concentration</th>
</tr>
<tr>
<th align="center" valign="top">Low</th>
<th align="center" valign="top">Medium</th>
<th align="center" valign="top">High</th>
<th align="center" valign="top">Low</th>
<th align="center" valign="top">Medium</th>
<th align="center" valign="top">High</th>
</tr>
<tr>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
<th align="center" valign="top">TFP_LP</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">2.216<sup>&#x002A;&#x002A;&#x002A;</sup> (0.290)</td>
<td align="center" valign="top">1.901<sup>&#x002A;&#x002A;&#x002A;</sup> (0.333)</td>
<td align="center" valign="top">1.378<sup>&#x002A;&#x002A;&#x002A;</sup> (0.282)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.983<sup>&#x002A;&#x002A;&#x002A;</sup> (0.251)</td>
<td align="center" valign="top">0.945<sup>&#x002A;&#x002A;&#x002A;</sup> (0.225)</td>
<td align="center" valign="top">&#x2212;0.090 (0.199)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">&#x2212;7.787<sup>&#x002A;&#x002A;&#x002A;</sup> (0.408)</td>
<td align="center" valign="top">&#x2212;5.871<sup>&#x002A;&#x002A;&#x002A;</sup> (0.398)</td>
<td align="center" valign="top">&#x2212;5.634<sup>&#x002A;&#x002A;&#x002A;</sup> (0.603)</td>
<td align="center" valign="top">&#x2212;2.977<sup>&#x002A;&#x002A;&#x002A;</sup> (0.456)</td>
<td align="center" valign="top">&#x2212;5.002<sup>&#x002A;&#x002A;&#x002A;</sup> (0.541)</td>
<td align="center" valign="top">&#x2212;6.047<sup>&#x002A;&#x002A;&#x002A;</sup> (0.644)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">780</td>
<td align="center" valign="top">793</td>
<td align="center" valign="top">786</td>
<td align="center" valign="top">777</td>
<td align="center" valign="top">793</td>
<td align="center" valign="top">785</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.818</td>
<td align="center" valign="top">0.791</td>
<td align="center" valign="top">0.635</td>
<td align="center" valign="top">0.712</td>
<td align="center" valign="top">0.823</td>
<td align="center" valign="top">0.643</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="sec27">
<title>Mechanism test</title>
<sec id="sec28">
<title>Access to trade credit and relief of financing constraints</title>
<p>Stable and adequate funding is crucial for the growth of an enterprise in China, as the formal finance sector is not well developed. The small scale of agricultural enterprises makes it challenging to obtain sufficient financial support, leading to financing constraints for many agricultural enterprises. Enterprise innovation requires consistent financial backing. Insufficient financing can lead to interruptions in innovation, increase sunk costs for businesses, diminish their passion for innovation, and perhaps disrupt routine operations. <xref ref-type="bibr" rid="ref18">Guo (2023)</xref> revealed that financial restrictions hinder the enhancement of total factor productivity in Chinese fishing firms.</p>
<p>This research utilizes the methods developed by <xref ref-type="bibr" rid="ref39">Petersen and Rajan (1997)</xref> to create a thorough index. The KZ index gages the degree of financing constraints faced by agribusiness. Several factors, such as net cash flow from operations, payout level, dividend holdings, degree of indebtedness, and growth index, contribute to its calculation. We adjust these factors for normalization based on the total assets at the start of the period. A higher KZ index indicates more significant financing constraints. The data presented in <xref ref-type="table" rid="tab12">Table 12</xref> demonstrates a negative correlation between trade credit financing and the KZ index. This suggests that access to trade credit offers alternative financing options for agribusinesses, which contributes to easing agribusiness financing constraints. Previous studies by <xref ref-type="bibr" rid="ref2">Allen et al. (2005)</xref> and <xref ref-type="bibr" rid="ref8">Cull et al. (2009)</xref> support this finding.</p>
<table-wrap position="float" id="tab12">
<label>Table 12</label>
<caption>
<p>Mechanism test.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">KZ</th>
<th align="center" valign="top">InefficInvest</th>
<th align="center" valign="top">substantive innovation</th>
<th align="center" valign="top">strategic innovation</th>
<th align="center" valign="top">substantive innovation</th>
<th align="center" valign="top">strategic innovation</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">&#x2212;1.694<sup>&#x002A;&#x002A;&#x002A;</sup> (0.404)</td>
<td/>
<td align="center" valign="top">2.027<sup>&#x002A;&#x002A;&#x002A;</sup> (0.778)</td>
<td align="center" valign="top">0.696 (0.731)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td align="center" valign="top">&#x2212;0.122<sup>&#x002A;&#x002A;&#x002A;</sup> (0.044)</td>
<td/>
<td/>
<td align="center" valign="top">1.984<sup>&#x002A;&#x002A;&#x002A;</sup> (0.716)</td>
<td align="center" valign="top">&#x2212;2.265<sup>&#x002A;&#x002A;&#x002A;</sup> (0.619)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">6.957<sup>&#x002A;&#x002A;&#x002A;</sup> (0.529)</td>
<td align="center" valign="top">0.038 (0.071)</td>
<td align="center" valign="top">&#x2212;7.426<sup>&#x002A;&#x002A;&#x002A;</sup> (0.955)</td>
<td align="center" valign="top">&#x2212;5.966<sup>&#x002A;&#x002A;&#x002A;</sup> (1.113)</td>
<td align="center" valign="top">&#x2212;7.604<sup>&#x002A;&#x002A;&#x002A;</sup> (0.966)</td>
<td align="center" valign="top">&#x2212;4.405<sup>&#x002A;&#x002A;&#x002A;</sup> (0.900)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">2,452</td>
<td align="center" valign="top">2,275</td>
<td align="center" valign="top">845</td>
<td align="center" valign="top">1,009</td>
<td align="center" valign="top">845</td>
<td align="center" valign="top">1,009</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.814</td>
<td align="center" valign="top">0.030</td>
<td align="center" valign="top">0.199</td>
<td align="center" valign="top">0.233</td>
<td align="center" valign="top">0.200</td>
<td align="center" valign="top">0.194</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec29">
<title>Provide trade credit and capital allocation</title>
<p>The distortion of capital allocation is a fundamental issue that restricts the high-quality development of companies. Neoclassical economic theory emphasizes that the demand for factors of production by a firm is determined by the marginal cost and marginal benefit associated with their use. However, in practice, the marginal cost and marginal benefit of using factors of production often differ, leading to inefficient investments that significantly hinder the enterprise&#x2019;s pursuit of high-quality development. In their study, <xref ref-type="bibr" rid="ref61">Xing et al. (2023)</xref> discovered that enhancing the effectiveness of resource allocation can boost firms&#x2019; overall factor productivity. Efficiently addressing the issue of inadequate investment in agricultural firms holds significant practical importance in enhancing their innovative capacity, improving TFP, and achieving high-quality development.</p>
<p>In this paper, we refer to <xref ref-type="bibr" rid="ref43">Richardson (2006)</xref> and <xref ref-type="bibr" rid="ref27">Li and Huang (2020)</xref> to measure the investment efficiency of the company to build the <xref ref-type="disp-formula" rid="EQ3">model (3)</xref>.</p>
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<label>(3)</label>
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<p>where <inline-formula>
<mml:math id="M7">
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<mml:mrow>
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<mml:mi>&#x03BD;</mml:mi>
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<mml:math id="M15">
<mml:mo stretchy="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">Industry</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the industry dummy variable; and <inline-formula>
<mml:math id="M16">
<mml:mo stretchy="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">Year</mml:mi>
</mml:mrow>
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</inline-formula> denotes the year dummy variable. Further, perform OLS regression on the <xref ref-type="disp-formula" rid="EQ3">model (3)</xref> to get the model&#x2019;s residuals. As estimated by the model, the magnitude of these residuals represents the extent of the company&#x2019;s inefficiency investment. A higher absolute value of the residuals indicates more significant inefficiency in the investment. Results in <xref ref-type="table" rid="tab12">Table 12</xref>, column 2, show that the provision of trade credit can curb inefficient investment, which is conducive to increased efficiency in the use of funds and the promotion of TFP by enterprises.</p>
</sec>
<sec id="sec30">
<title>Trade credit and enterprise innovation</title>
<p>Total factor productivity (TFP) refers to the portion of economic growth that cannot be accounted for by the increase in inputs from production factors. Technological innovation has a crucial role in enhancing the overall productivity of organizations. Schumpeter&#x2019;s theory of economic growth posits that firms&#x2019; innovations can result in transferring factors of production from less productive companies to more productive companies. This process compels less productive firms to exit the market, ultimately enhancing the industry&#x2019;s overall productivity (<xref ref-type="bibr" rid="ref5">Bartelsman et al., 2013</xref>). <xref ref-type="bibr" rid="ref23">Karafillis and Papanagiotou (2011)</xref> examined the correlation between innovation and organic agriculture. In a study conducted by <xref ref-type="bibr" rid="ref23">Karafillis and Papanagiotou (2011)</xref>, the connection between innovation and total factor productivity in organic agriculture was examined. Their research revealed a positive correlation between innovation and TFP in this field.</p>
<p>This research delves deeper into the influence of the supply and acquisition of trade credit on corporate innovation. This study measures innovation using company patent applications as a proxy variable. We can classify the patents granted to Chinese enterprises into three categories: innovation, utility model, and design. Invention patents are considered significant inventions aimed at advancing a company&#x2019;s technical development and obtaining a competitive edge. Enterprises seeking to prioritize &#x201C;quantity&#x201D; and &#x201C;speed&#x201D; of invention may employ strategic innovation by obtaining design and utility model patents, which are comparatively less challenging.</p>
<p>The findings in <xref ref-type="table" rid="tab12">Table 12</xref> demonstrate that acquiring trade credit has a significant impact on promoting firms&#x2019; substantive innovation. In contrast, it does not significantly influence enterprises&#x2019; strategic innovation. Trade credit supply fosters substantial company innovation and significantly impeding strategic innovation. When combined with the prior theoretical research, it is further validated that businesses that get trade credit may mitigate financial limitations, enhance investment in innovation, enhance the quality of enterprise innovation, and foster high-quality business development.</p>
</sec>
</sec>
<sec id="sec31">
<title>Additional examination</title>
<p>To address the limitations of using a single indicator to measure high-quality enterprise development. This study further creates a thorough index that evaluates the high-quality growth of businesses while accounting for their goals and processes. This paper refers to the enterprise high-quality development index proposed by <xref ref-type="bibr" rid="ref53">Tian and Ding (2023)</xref> and analyzes the high-quality development index system of agricultural enterprises from the two aspects of the goal and internal process, which mainly include six first-level indexes: development quality, green development, social efficiency, innovation ability, risk management, and corporate governance. As well as 12 secondary indicators and 16 tertiary indicators to measure the high-quality development index of big agriculture, from <xref ref-type="table" rid="tab13">Table 13</xref>, the high-quality development index weight ratio shows that each element of the impact of the size of the enterprise&#x2019;s high-quality development index in which the enterprise&#x2019;s innovation capacity accounted for the more significant proportion of the high-quality development index of agribusiness is the same as the theoretical analysis of the previous analysis.</p>
<table-wrap position="float" id="tab13">
<label>Table 13</label>
<caption>
<p>Construction of high-quality indicator system.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Primary indicator</th>
<th align="left" valign="top">Secondary indicator</th>
<th align="left" valign="top">Tertiary indicator</th>
<th align="center" valign="top">Weighting (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="7">Development quality (27.4%)</td>
<td align="left" valign="top">Profitability</td>
<td align="left" valign="top">total return on assets</td>
<td align="center" valign="top">2.83</td>
</tr>
<tr>
<td align="left" valign="top">Growth capacity</td>
<td align="left" valign="top">Operating income growth rate</td>
<td align="center" valign="top">0.82</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Market Capabilities</td>
<td align="left" valign="top">Price-to-earnings ratio</td>
<td align="center" valign="top">12.16</td>
</tr>
<tr>
<td align="left" valign="top">Tobin Q</td>
<td align="center" valign="top">1.92</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Debt-servicing capacity</td>
<td align="left" valign="top">Asset-liability ratio</td>
<td align="center" valign="top">1.79</td>
</tr>
<tr>
<td align="left" valign="top">Turnover ratio</td>
<td align="center" valign="top">5.65</td>
</tr>
<tr>
<td align="left" valign="top">Operational capability</td>
<td align="left" valign="top">Asset turnover ratio</td>
<td align="center" valign="top">2.23</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Green development (26.95%)</td>
<td align="left" valign="top">Green governance capacities</td>
<td align="left" valign="top">Wind ESG Environmental Score</td>
<td align="center" valign="top">4.03</td>
</tr>
<tr>
<td align="left" valign="top">Green output quality</td>
<td align="left" valign="top">Number of green patents</td>
<td align="center" valign="top">22.92</td>
</tr>
<tr>
<td align="left" valign="top">Social benefits (1.69%)</td>
<td align="left" valign="top">Corporation value</td>
<td align="left" valign="top">Wind ESG Social Score</td>
<td align="center" valign="top">1.69</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Innovation capacity (43.5%)</td>
<td align="left" valign="top" rowspan="2">Capacity for innovative inputs</td>
<td align="left" valign="top">R&#x0026;D investment</td>
<td align="center" valign="top">12.83</td>
</tr>
<tr>
<td align="left" valign="top">Number of R&#x0026;D personnel</td>
<td align="center" valign="top">13.74</td>
</tr>
<tr>
<td align="left" valign="top">Quality of Innovation</td>
<td align="left" valign="top">Number of invention patents</td>
<td align="center" valign="top">16.93</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Risk management (0.02%)</td>
<td align="left" valign="top" rowspan="2">Risk control capabilities</td>
<td align="left" valign="top">Financial leverage</td>
<td align="center" valign="top">0.01</td>
</tr>
<tr>
<td align="left" valign="top">Operating leverage</td>
<td align="center" valign="top">0.01</td>
</tr>
<tr>
<td align="left" valign="top">Corporate governance (0.40%)</td>
<td align="left" valign="top">Comprehensive governance capabilities</td>
<td align="left" valign="top">Wind ESG Social Score</td>
<td align="center" valign="top">0.40</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to <xref ref-type="fig" rid="fig3">Figure 3</xref>, the industry-standard data for high-quality development indicators in agriculture reveals that the secondary and fishery service industries dominate. At the same time, the traditional agricultural primary sector lags in terms of high-quality development. <xref ref-type="fig" rid="fig4">Figure 4</xref> demonstrates that the ability to innovate plays a crucial role in promoting high-quality development for primary sector agribusiness. In contrast, the quality of development profoundly impacts secondary agribusiness.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>High-quality development industry average.</p>
</caption>
<graphic xlink:href="fsufs-08-1396739-g003.tif"/>
</fig>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Statistics on various indicators by industry.</p>
</caption>
<graphic xlink:href="fsufs-08-1396739-g004.tif"/>
</fig>
<p>This study does a regression analysis to examine the impact of trade credit on the composite index of high-quality company development. The results in <xref ref-type="table" rid="tab14">Table 14</xref> indicate that obtaining and providing trade credit significantly promotes the high-quality growth of enterprises.</p>
<table-wrap position="float" id="tab14">
<label>Table 14</label>
<caption>
<p>High-quality indicator regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top">(4)</th>
<th align="center" valign="top">(5)</th>
<th align="center" valign="top">(6)</th>
</tr>
<tr>
<th align="center" valign="top">High-quality</th>
<th align="center" valign="top">High-quality</th>
<th align="center" valign="top">High-quality</th>
<th align="center" valign="top">High-quality</th>
<th align="center" valign="top">High-quality</th>
<th align="center" valign="top">High-quality</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">AP</td>
<td align="center" valign="top">0.088<sup>&#x002A;&#x002A;&#x002A;</sup> (0.013)</td>
<td/>
<td align="center" valign="top">0.048<sup>&#x002A;&#x002A;&#x002A;</sup> (0.014)</td>
<td/>
<td align="center" valign="top">0.052<sup>&#x002A;&#x002A;&#x002A;</sup> (0.015)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">AR</td>
<td/>
<td align="center" valign="top">&#x2212;0.023 (0.017)</td>
<td/>
<td align="center" valign="top">0.033<sup>&#x002A;&#x002A;</sup> (0.014)</td>
<td/>
<td align="center" valign="top">0.031<sup>&#x002A;&#x002A;</sup> (0.014)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Year</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Firm</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">No</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">_cons</td>
<td align="center" valign="top">0.028<sup>&#x002A;&#x002A;</sup> (0.013)</td>
<td align="center" valign="top">0.025<sup>&#x002A;&#x002A;&#x002A;</sup> (0.008)</td>
<td align="center" valign="top">&#x2212;0.386<sup>&#x002A;&#x002A;&#x002A;</sup> (0.017)</td>
<td align="center" valign="top">&#x2212;0.381<sup>&#x002A;&#x002A;&#x002A;</sup> (0.017)</td>
<td align="center" valign="top">&#x2212;0.385<sup>&#x002A;&#x002A;&#x002A;</sup> (0.020)</td>
<td align="center" valign="top">&#x2212;0.382<sup>&#x002A;&#x002A;&#x002A;</sup> (0.020)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>N</italic></td>
<td align="center" valign="top">1,547</td>
<td align="center" valign="top">1,547</td>
<td align="center" valign="top">1,453</td>
<td align="center" valign="top">1,453</td>
<td align="center" valign="top">1,453</td>
<td align="center" valign="top">1,453</td>
</tr>
<tr>
<td align="left" valign="top"><italic>r</italic><sup>2</sup></td>
<td align="center" valign="top">0.089</td>
<td align="center" valign="top">0.139</td>
<td align="center" valign="top">0.436</td>
<td align="center" valign="top">0.433</td>
<td align="center" valign="top">0.441</td>
<td align="center" valign="top">0.438</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec sec-type="discussions" id="sec32">
<title>Discussions</title>
<sec id="sec33">
<title>Research results and implications</title>
<p>The study performed a benchmark test and discovered that trade credit notably influences the overall factor productivity of agricultural businesses. To address the endogeneity issue in the model, the study replaced the variables and conducted a further robustness test using the least squares method. The study&#x2019;s ultimate conclusion underscores the potential of trade credit accessibility and supply to boost enterprises&#x2019; TFP significantly. These results align with those of the benchmark regression and are consistent with the conclusions drawn by <xref ref-type="bibr" rid="ref11">Detthamrong and Chansanam (2023)</xref>.</p>
<p>Furthermore, this paper aims to examine the mechanism through how trade credit impacts businesses&#x2019; high-quality growth, using theoretical and empirical perspectives.</p>
<p>We further investigate the impact of trade credit on enterprise financing constraints, inefficient investment, and innovation. Research has shown that trade-credit financing can help companies overcome financial constraints. Additionally, offering trade credit can prevent companies from making inefficient investments (<xref ref-type="bibr" rid="ref24">Karako&#x00E7;, 2023</xref>), stimulate innovation, and improve TFP.</p>
<p>There is a deficiency in the current state of affairs regarding evaluating companies&#x2019; high-quality development, as there is a lack of a comprehensive index system and measuring procedures. Additionally, utilizing a single indicator to gage the quality of enterprise development has its limitations, as it may not accurately depict the influence of each contributing factor. To address this issue, this article employs the entropy value technique to appraise the high-quality growth of agricultural firms. This method, distinguished by six primary and 13 innovative indicators, has proven efficient in empirical testing. Moreover, the study has revealed that trade credit plays a significant role in enhancing firms&#x2019; high-quality development index. This finding further solidifies the credibility and robustness of the conclusions presented in this research.</p>
</sec>
<sec id="sec34">
<title>Policy recommendations</title>
<p>Government policies should be strengthened to support agribusinesses and mitigate their long production cycles and financing constraints. Implementing the Property Law has significantly improved productivity and corporate profits. At the same time, a well-functioning financial system can help alleviate financing constraints and improve corporate governance, leading to increased agricultural productivity and modernization. The reform of the domestic financial market should also be promoted, including improving the informal financial market and establishing an enterprise information disclosure system. Supply chain finance should be actively developed to enhance financial service levels for the agricultural industry.</p>
<p>At the enterprise level, businesses should leverage bank and trade credit to attract talent and promote technological progress, resulting in improved productivity. Additionally, internal governance mechanisms, such as improving information disclosure, should be enhanced to obtain more financial support and increase competitiveness. The utilization of supply chain finance is also encouraged to improve overall financial services for agricultural enterprises.</p>
</sec>
<sec id="sec35">
<title>Summary</title>
<p>China&#x2019;s agricultural development faces challenges such as overconsumption of resources, reliance on inputs, and poor management. This has hindered sustainable development and led to a lack of competitiveness. To improve, China must adopt a new model, enhance sustainability, and promote transformation and upgrading for long-term growth. The concept of extensive agriculture sees the sector as an interconnected system and argues that trade credit can boost high-quality growth by addressing financing constraints, curbing inefficient investments, and promoting innovation.</p>
</sec>
</sec>
<sec sec-type="data-availability" id="sec36">
<title>Data availability statement</title>
<p>Data are available from the corresponding author upon reasonable request.</p>
</sec>
<sec sec-type="author-contributions" id="sec37">
<title>Author contributions</title>
<p>JW: Conceptualization, Data curation, Writing &#x2013; original draft. TL: Resources, Writing &#x2013; review &#x0026; editing, Project administration. QL: Writing &#x2013; review &#x0026; editing, Validation, Visualization. XL: Funding acquisition, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec38">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This research was supported by the National Social Science Foundation of China (Project Title: Research on the micro-mechanism of trade credit affecting the high-quality development of the real economy under the digital economy, Grant No. 21BJL035).</p>
</sec>
<sec sec-type="COI-statement" id="sec39">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted without any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="sec40">
<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>
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