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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">77</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:0CE58996-512E-521C-907F-C2C6EA147B5F</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Russian Journal of Economics</journal-title>
        <abbrev-journal-title xml:lang="en">RUJEC</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2618-7213</issn>
      <issn pub-type="epub">2405-4739</issn>
      <publisher>
        <publisher-name>Non-profit partnership "Voprosy Ekonomiki"</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.32609/j.ruje.11.154180</article-id>
      <article-id pub-id-type="publisher-id">154180</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(C23) Panel Data Models • Spatio-temporal Models</subject>
          <subject>(E32) Business Fluctuations • Cycles</subject>
          <subject>(E3) Prices</subject>
          <subject> Business Fluctuations</subject>
          <subject> and Cycles</subject>
          <subject>(E44) Financial Markets and the Macroeconomy</subject>
          <subject>(G15) International Financial Markets</subject>
          <subject>(G2) Financial Institutions and Services</subject>
          <subject>(O16) Financial Markets • Saving and Capital Investment • Corporate Finance and Governance</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>﻿Economic growth volatility: Is financialization a culprit?</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Ullah</surname>
            <given-names>Wasim</given-names>
          </name>
          <email xlink:type="simple">wasimullah.nbp@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0000-0002-6942-2178</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A2">2</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>a</label>
        <addr-line content-type="verbatim">Universiti Malaysia Terengganu (Kuala Terengganu, Malaysia)</addr-line>
        <institution>Universiti Malaysia Terengganu</institution>
        <addr-line content-type="city">Kuala Terengganu</addr-line>
        <country>Malaysia</country>
      </aff>
      <aff id="A2">
        <label>b</label>
        <addr-line content-type="verbatim">National Bank of Pakistan (Islamabad, Pakistan)</addr-line>
        <institution>National Bank of Pakistan</institution>
        <addr-line content-type="city">Islamabad</addr-line>
        <country>Pakistan</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Wasim Ullah (<email xlink:type="simple">wasimullah.nbp@gmail.com</email>).</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: </p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2025</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>17</day>
        <month>12</month>
        <year>2025</year>
      </pub-date>
      <volume>11</volume>
      <issue>4</issue>
      <fpage>381</fpage>
      <lpage>402</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/DB8F0D7F-51FB-5898-9A22-0610233B3DC6">DB8F0D7F-51FB-5898-9A22-0610233B3DC6</uri>
      <history>
        <date date-type="received">
          <day>28</day>
          <month>03</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>08</day>
          <month>08</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Non-profit partnership “Voprosy Ekonomiki”</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits to copy and distribute the article for non-commercial purposes, provided that the article is not altered or modified and the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>﻿Abstract</label>
        <p>Financial development plays a crucial role in shaping economic growth, yet it can ­introduce volatility. This study examines the relationship between financial development and economic growth volatility. Using panel data from 60 countries (30 de­veloped and 30 developing) for 1981–2022, we employ panel-corrected standard errors and generalized­ method of moments to ensure robustness. Financial development is analyzed through financial institutions and financial markets across three dimensions: depth, ­access, and ­efficiency. Conceptually, the paper finds that the supply-leading hypothesis does not account for the economic growth volatility associated with excessive financialization. The results indicate that, at higher levels, financial development has a volatility-enhancing impact in developed countries, while in developing countries it has a volatility-reducing effect. Policymakers in developed countries should ensure that credit expansion is aligned with real-sector development. Regulators should monitor adverse effects of financial depth and ensure funds are directed toward real-sector growth, while improving access and efficiency. In a too‑much-finance scenario, economies need moderators — such as strong regulatory quality and well-defined rights for creditors and borrowers — to mitigate volatility-enhancing effects.</p>
      </abstract>
      <kwd-group>
        <label>Keywords:</label>
        <kwd>financialization</kwd>
        <kwd>financial development</kwd>
        <kwd>economic growth volatility</kwd>
        <kwd>financial depth</kwd>
        <kwd>economic growth</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta xlink:type="simple">
          <meta-name>JEL classification</meta-name>
          <meta-value>C23, E3, E32, E44, G2, G15, O16</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="﻿1. Introduction" id="SECID0EYC">
      <title>﻿1. Introduction</title>
      <p>Financial development (<abbrev xlink:title="Financial development" id="ABBRID0E5C">FD</abbrev>) encompasses the factors, policies, and institutions that contribute to effective financial intermediation and well-functioning markets, ensuring broad and inclusive access to capital and financial services (<xref ref-type="bibr" rid="B114">World Economic Forum, 2011</xref>). Conceptually, <abbrev xlink:title="Financial development" id="ABBRID0ECD">FD</abbrev> is a process aimed at reducing the costs of acquiring information, enforcing contracts, and conducting transactions (<xref ref-type="bibr" rid="B113">World Bank, 2019</xref>). The supply-leading hypothesis emerges from this context, positing that <abbrev xlink:title="Financial development" id="ABBRID0EGD">FD</abbrev> drives economic growth by ensuring the efficient allocation of financial resources.</p>
      <p>As financial systems expand and persist over time, expectations and dependencies on intermediation increase, adding layers of complexity and accumulating systemic vulnerabilities. These fragilities may trigger a chain reaction of unexpected economic disruptions, potentially culminating in financial crises. <xref ref-type="bibr" rid="B91">Rajan (2005)</xref> was among the earliest researchers to systematically discuss the detrimental effects of excessive finance. A growing body of literature suggests a trade-off between economic growth and growth volatility. While many scholars argue that <abbrev xlink:title="Financial development" id="ABBRID0EQD">FD</abbrev> promotes long-term expansion, it may simultaneously contribute to financial instability and macroeconomic volatility. Key drivers include high inflation that affects consumption patterns, reduced investment, declining borrower net worth, systemic risks leading to banking crises, and financial liberalization that diverts human capital from productive sectors.</p>
      <p>Economic growth volatility is commonly classified into two categories: realized volatility — measured as the standard deviation of per-capita GDP growth — and innovation volatility — defined as the standard deviation of unexpected growth shocks. According to Andersen and Banzoni (2008), realized volatility is a nonparametric ex-post estimate of the return variation. The most obvious realized volatility measure is the sum of finely-sampled squared return realizations over a fixed time interval. In contrast, innovation volatility may be referred to as the variation (over time) in aggregate economic output or other macroeconomic variables that arises due to structural, financial, or institutional innovations (e.g., financial-market development, financial liberalization, structural reforms, technological–financial innovation; Jermann and Quadrini, 2006). In this study, economic growth volatility (hereafter, EV) refers to realized­ volatility, assessed using the standard deviation of per-capita GDP growth.</p>
      <p>A widely held view suggests that <abbrev xlink:title="Financial development" id="ABBRID0EXD">FD</abbrev> reduces macroeconomic volatility, particularly in developed countries. Some studies propose that well-developed banking systems mitigate EV, as industrial output fluctuations tend to be negatively correlated with banking-sector credit portfolios. However, these conclusions have not been consistently robust across different measures of <abbrev xlink:title="Financial development" id="ABBRID0E2D">FD</abbrev>. Given the crucial role that <abbrev xlink:title="Financial development" id="ABBRID0E6D">FD</abbrev> plays in shaping economic growth, policymakers must assess its implications for both stability and volatility. A precise understanding of this relationship is essential for designing macroeconomic policies that maximize the benefits of <abbrev xlink:title="Financial development" id="ABBRID0EDE">FD</abbrev> while mitigating its potential risks.</p>
      <p>This relationship requires systematic evaluation from several perspectives. First, a simultaneous study of developed and developing countries using the same period, variable measures, and estimation techniques can clarify potentially different dynamics. Second, in contrast to earlier unidimensional approaches, this study examines depth, access, and efficiency for both bank-based and market-based components of <abbrev xlink:title="Financial development" id="ABBRID0EJE">FD</abbrev>.</p>
      <p>We address three questions. First, does excessive <abbrev xlink:title="Financial development" id="ABBRID0EPE">FD</abbrev> prove detrimental by inducing EV? Second, if so, which dimensions of <abbrev xlink:title="Financial development" id="ABBRID0ETE">FD</abbrev> (depth, access, or efficiency) are the primary contributors? Third, is this effect consistent across developed and developing countries? The answers are intended to inform macroeconomic and macroprudential policymakers.</p>
      <p>The post-2008 global financial crisis literature increasingly suggests that the relationship between <abbrev xlink:title="Financial development" id="ABBRID0EZE">FD</abbrev> and economic growth is nonmonotonic: <abbrev xlink:title="Financial development" id="ABBRID0E4E">FD</abbrev> initially fosters growth but, beyond a threshold, has a negative impact. This “vanishing effect” or “too-much-finance effect” underscores the need for further investigation. Examining interactions with institutional and regulatory environments within this assumed non-linear relationship may offer valuable insights for both policymakers­ and researchers.</p>
      <p>Another source of inconclusiveness is the imperfection of indicators used to measure the financial system’s contribution to development. <xref ref-type="bibr" rid="B75">Levine (2022)</xref> notes that the literature remains inconclusive on whether finance causes growth and, if so, through what mechanisms — attributing this to limitations of <abbrev xlink:title="Financial development" id="ABBRID0EHF">FD</abbrev> indicators in empirical research. Many studies use the size of financial institutions or financial markets as proxies for <abbrev xlink:title="Financial development" id="ABBRID0ELF">FD</abbrev>. However, a more comprehensive measure is needed — one that incorporates financial institutions (<abbrev xlink:title="financial institutions" id="ABBRID0EPF">FI</abbrev>), financial markets (<abbrev xlink:title="financial markets" id="ABBRID0ETF">FM</abbrev>), and their respective dimensions: access, depth, and efficiency.</p>
      <p>Among these, financial depth is the most common proxy. Credit to the private sector is standard in cross-country regressions, but it is not comprehensive, as it fails to capture the diverse mechanisms through which the financial system supports growth (<xref ref-type="bibr" rid="B18">Beck, 2009</xref>). Given these limitations, the research landscape reveals a significant gap. A more nuanced measure of <abbrev xlink:title="Financial development" id="ABBRID0E4F">FD</abbrev> is required to assess whether a country’s financial system aligns with its macroeconomic conditions and institutional framework.</p>
      <p>Much of the literature on <abbrev xlink:title="Financial development" id="ABBRID0EDG">FD</abbrev> and growth has focused on depth, neglecting access and efficiency. As a result, policymakers and regulators are often left with a one-dimensional perspective. This study addresses that gap by using a detailed <abbrev xlink:title="Financial development" id="ABBRID0EHG">FD</abbrev> index that includes both <abbrev xlink:title="financial institutions" id="ABBRID0ELG">FI</abbrev> and <abbrev xlink:title="financial markets" id="ABBRID0EPG">FM</abbrev>, further decomposed into depth, access, and efficiency for each component. This comprehensive framework, developed by <xref ref-type="bibr" rid="B98">Sahay et al. (2015)</xref>, provides a robust foundation for evaluating <abbrev xlink:title="Financial development" id="ABBRID0EXG">FD</abbrev>.</p>
      <p>A further challenge is estimation uncertainty, which contributes to inconclusive empirical findings. <xref ref-type="bibr" rid="B28">Botev et al. (2019)</xref> emphasize that variation in estimation techniques­ and model specifications has led to divergent conclusions. To ensure ­robustness, this study employs the panel-corrected standard errors (<abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EBH">PCSE</abbrev>) method to estimate the effects of <abbrev xlink:title="Financial development" id="ABBRID0EFH">FD</abbrev> in both developed and developing economies. Additionally, the generalized method of moments (<abbrev xlink:title="generalized method of moments" id="ABBRID0EJH">GMM</abbrev>) technique is applied to address endogeneity concerns, thereby enhancing the credibility of the empirical results.</p>
    </sec>
    <sec sec-type="﻿2. Literature review" id="SECID0ENH">
      <title>﻿2. Literature review</title>
      <p>In line with Adam Smith’s proposition, two primary streams of thought under­pin the relationship between financial development and economic outcomes. The first stream considers <abbrev xlink:title="Financial development" id="ABBRID0ETH">FD</abbrev> as a supply-leading productive input that fosters economic growth. Commonly referred to as the supply-leading hypothesis, this remains the dominant perspective. Because financial markets comprise various intermediaries, it is elaborated through multiple sub-theories, including finance theory, market-based theory, bank-based theory, law-and-finance theory, and financial-services-based theory.</p>
      <p>Renewed interest in the finance — growth nexus was sparked by the development of endogenous growth models grounded in the supply-leading hypothesis. The seminal work of <xref ref-type="bibr" rid="B47">Diamond and Dybvig (1983)</xref> laid the foundation for models demonstrating how financial systems influence growth by managing liquidity risk. Among the pioneers were <xref ref-type="bibr" rid="B80">Lucas (1988)</xref>, Romer (1988), and Rebelo (1991).</p>
      <p>Numerous studies provide empirical support for the supply-leading hypo­thesis, emphasizing the role of <abbrev xlink:title="Financial development" id="ABBRID0EEAAC">FD</abbrev> in promoting economic growth. A foundational contribution is <xref ref-type="bibr" rid="B68">King and Levine (1993)</xref>, who found strong empirical evidence linking <abbrev xlink:title="Financial development" id="ABBRID0EMAAC">FD</abbrev> to economic expansion. Several subsequent studies reinforce these findings, including <xref ref-type="bibr" rid="B109">Ullah et al. (2024b)</xref> for developing countries, <xref ref-type="bibr" rid="B5">Afonso and Blanco-Arana (2022)</xref>, <xref ref-type="bibr" rid="B107">Tran et al. (2021)</xref>, <xref ref-type="bibr" rid="B103">Tang and Abosedra (2020)</xref>, and <xref ref-type="bibr" rid="B110">Ustarz and Fanta (2021)</xref>.</p>
      <p>A significant body of research, however, identifies excessive credit expansion as a driver of economic volatility (<xref ref-type="bibr" rid="B61">Jorda et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Kaminsky and Reinhart, 1999</xref>; <xref ref-type="bibr" rid="B101">Schularick and Taylor, 2012</xref>). Demetriades et al. (2023) observe that private credit negatively affects growth, supporting the argument that excessive financial depth can be destabilizing. <xref ref-type="bibr" rid="B97">Rousseau and Wachtel (2011)</xref> attribute the “vanishing effect” of <abbrev xlink:title="Financial development" id="ABBRID0EWBAC">FD</abbrev> to high financial depth, which fuels inflation and undermines banking-sector stability. Other researchers examine household credit and find it more influential for volatility than private-sector credit (<xref ref-type="bibr" rid="B21">Beck et al., 2014</xref>; <xref ref-type="bibr" rid="B99">Sassi and Gasmi, 2014</xref>; <xref ref-type="bibr" rid="B13">Angeles, 2015</xref>).</p>
      <p>Recent studies also highlight that financialization affects EV through various channels. Yilmaz (2024) show that enhanced <abbrev xlink:title="Financial development" id="ABBRID0EICAC">FD</abbrev>, particularly through improved banking and capital markets, can reduce volatility by improving risk management and capital allocation, although in some cases it may also increase exposure to systemic shocks.</p>
      <p>Concerns about excessive financial deepening date back to <xref ref-type="bibr" rid="B84">Minsky (1974)</xref> and <xref ref-type="bibr" rid="B67">Kindleberger (1978)</xref>, who suggested that unchecked financial expansion contributes to macroeconomic volatility. <xref ref-type="bibr" rid="B38">Deidda and Fattouh (2002</xref>, <xref ref-type="bibr" rid="B39">2008</xref>) find that the positive relationship between financial depth and growth reverses during financial-system transitions, particularly when economies shift from bank-based to market-based systems.</p>
      <p>Another mechanism through which financial deepening contributes to volatility is monetary policy. A contractionary stance can raise interest rates, limit credit access for small businesses, and increase systemic vulnerability (<xref ref-type="bibr" rid="B22">Beck et al., 2000</xref>). Some studies also observe that <abbrev xlink:title="Financial development" id="ABBRID0EEDAC">FD</abbrev> increases systemic risk, amplifying the potential for domestic financial crises (<xref ref-type="bibr" rid="B97">Rousseau and Wachtel, 2011</xref>).</p>
      <p>The size of the financial system is also correlated with economic volatility. <xref ref-type="bibr" rid="B21">Beck et al. (2014)</xref> find that in high-income countries, a well-developed financial system is positively associated with volatility. Some researchers argue that firms with high collateral crowd out lower-productivity projects, ultimately slowing growth (<xref ref-type="bibr" rid="B111">Van Wijnbergen, 1983</xref>; <xref ref-type="bibr" rid="B29">Buffie, 1984</xref>). <xref ref-type="bibr" rid="B95">Rodrik (1998)</xref> and Stiglitz (2002) further contend that volatility in capital flows at high levels of <abbrev xlink:title="Financial development" id="ABBRID0E5DAC">FD</abbrev> undermines both economic and financial stability.</p>
      <p>Some studies focus on financial markets as a source of volatility. <xref ref-type="bibr" rid="B25">Bernanke and Gertler (1990)</xref> and <xref ref-type="bibr" rid="B24">Bernanke and Blinder (1992)</xref> find that low-net-worth borrowers­ rely heavily on external finance, which increases agency costs and financial fragi­lity. This reliance amplifies real-sector shocks through financial‑accelerator effects during distress (<xref ref-type="bibr" rid="B22">Beck et al., 2000</xref>; <xref ref-type="bibr" rid="B59">Ibrahim and Alagidede, 2017</xref>). <xref ref-type="bibr" rid="B3">Acemoglu and Zilibotti (1997)</xref> suggest that investment indivisibility leads to concentrated financial risk, increasing volatility. <xref ref-type="bibr" rid="B69">Kiyotaki and Moore (1997)</xref> argue that capital-market imperfections exacerbate temporary productivity shocks by reducing borrowers’ net wealth, particularly among credit-constrained firms. <xref ref-type="bibr" rid="B91">Rajan (2005)</xref> finds that financial-innovation-led expansion contributes to tail risks, which individual investors often fail to anticipate. <xref ref-type="bibr" rid="B1">Abbas and Iftikhar (2016)</xref> observe that financial-sector instability increases volatility in industrial growth.</p>
      <p>The securitization of lending portfolios has also been linked to greater instability­. <xref ref-type="bibr" rid="B40">Dell’Ariccia et al. (2012)</xref>, <xref ref-type="bibr" rid="B66">Keys et al. (2010)</xref>, and <xref ref-type="bibr" rid="B83">Mian and Sufi (2009)</xref> find that securitization weakens lending standards, resulting in higher delinquency rates. Similarly, Ashcraft and Santos (2009) and <xref ref-type="bibr" rid="B53">Gennaioli et al. (2012)</xref> note that financial engineering techniques, designed to match securities with risk-averse investors, can obscure critical risks and increase overall fragility. <xref ref-type="bibr" rid="B7">Aizenman and Pinto (2005)</xref> and <xref ref-type="bibr" rid="B74">Le et al. (2023)</xref> find that financial-sector expansion initially increases EV, although it may enhance growth in the short term due to a favorable risk — return trade-off. Over time, however, this volatility can reduce long-term growth by lowering investment and consumption.</p>
      <p>Despite these concerns, some researchers argue that financial-sector development can reduce EV. This perspective is based on the premise that innovative financial structures allow greater risk-sharing, reduce financial constraints, and enhance firms’ ability to absorb shocks. These mechanisms also promote consumption smoothing, stabilizing household spending patterns. <xref ref-type="bibr" rid="B46">Denizer et al. (2000)</xref> find that in economies with highly developed financial systems, investment-growth volatility is significantly lower. <xref ref-type="bibr" rid="B72">Larrain (2006)</xref>, Raddatz (2006), and <xref ref-type="bibr" rid="B88">Park (2015)</xref> also report that the development of financial institutions reduces output volatility in the industrial sector.</p>
      <p><xref ref-type="bibr" rid="B21">Beck et al. (2014)</xref> conclude that financial intermediation supports long-term growth while reducing volatility. Similarly, <xref ref-type="bibr" rid="B9">Alagidede and Ibrahim (2016)</xref> observe that financial-sector advancements dampen real-sector shocks. <xref ref-type="bibr" rid="B79">Liu and Yang (2016)</xref> find that financial deepening reduces macroeconomic volatility up to a threshold. <xref ref-type="bibr" rid="B62">Kapingura et al. (2022)</xref> also report that a well-developed financial system — where both financial institutions and markets operate effectively — contributes to lower macroeconomic volatility.</p>
      <p>Several studies further suggest that financial deepening reduces the impact of external shocks, helping stabilize macroeconomic conditions (<xref ref-type="bibr" rid="B60">Iwasaki et al., 2020</xref>; <xref ref-type="bibr" rid="B77">Levine and Warusawitharana, 2021</xref>). <xref ref-type="bibr" rid="B81">Manganelli and Popov (2015)</xref> find that <abbrev xlink:title="Financial development" id="ABBRID0EMHAC">FD</abbrev> helps reduce aggregate volatility, while <xref ref-type="bibr" rid="B116">Xue (2020)</xref> observes that financial deepening decreases volatility in advanced economies.</p>
      <p>Some researchers propose a U-shaped relationship between financial-sector development and EV. Alatrash et al. (2014) argue that in well-developed financial systems, <abbrev xlink:title="Financial development" id="ABBRID0EWHAC">FD</abbrev> initially reduces growth volatility, but beyond a threshold it begins to increase it. These findings are consistent with <xref ref-type="bibr" rid="B49">Easterly et al. (2000)</xref>, <xref ref-type="bibr" rid="B71">Kunieda (2008)</xref>, <xref ref-type="bibr" rid="B36">Dabla-Norris and Srivisal (2013)</xref>, and <xref ref-type="bibr" rid="B98">Sahay et al. (2015)</xref>.</p>
      <p><xref ref-type="bibr" rid="B6">Aghion et al. (2005)</xref> find that economies at an intermediate stage of development experience higher instability, while <xref ref-type="bibr" rid="B3">Acemoglu and Zilibotti (1997)</xref> argue that underdeveloped economies are most vulnerable due to limited investment diversification. However, another strand of research finds no significant relationship between <abbrev xlink:title="Financial development" id="ABBRID0EUIAC">FD</abbrev> and growth volatility. <xref ref-type="bibr" rid="B23">Beck et al. (2006)</xref> find no evidence that financial-sector development influences volatility, while <xref ref-type="bibr" rid="B115">Xu (2007)</xref> reports that <abbrev xlink:title="Financial development" id="ABBRID0EAJAC">FD</abbrev> does not significantly affect volatility in emerging economies. Despite these findings, the literature on this topic remains limited.</p>
      <p>Levine (2021) emphasizes that shortcomings in <abbrev xlink:title="Financial development" id="ABBRID0EGJAC">FD</abbrev> measurement hinder definitive conclusions regarding whether and how finance drives growth. The lack of a universally accepted indicator has contributed to inconsistencies in empirical findings, making it difficult for policymakers to formulate effective strategies based on <abbrev xlink:title="Financial development" id="ABBRID0EKJAC">FD</abbrev> metrics.</p>
      <p>A review of thirty significant studies on <abbrev xlink:title="Financial development" id="ABBRID0EQJAC">FD</abbrev> and growth reveals considerable variation in measurement approaches. As shown in Table <xref ref-type="table" rid="T1">1</xref>, the estimates used to quantify <abbrev xlink:title="Financial development" id="ABBRID0EYJAC">FD</abbrev> differ widely. Common indicators include private credit-to-GDP, credit extended to private enterprises relative to total domestic credit, and mone­tary aggregates such as M1, M2, and M3 as percentages of GDP. Other studies employ measures such as bond-market development, private credit provided by domestic commercial banks-to-GDP, bank credit-to-GDP, and private-credit-to-deposit-money ratios. This spectrum of <abbrev xlink:title="Financial development" id="ABBRID0E3JAC">FD</abbrev> metrics underscores the lack of a standardized approach, complicating cross-country comparisons and limiting the generalizability of findings.</p>
      <table-wrap id="T1" position="float" orientation="portrait">
        <label>Table 1.</label>
        <caption>
          <p>Estimates and dimensions of financial development.</p>
        </caption>
        <table id="TID0EGRAI" rules="all">
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">No.</td>
              <td rowspan="1" colspan="1">Authors</td>
              <td rowspan="1" colspan="1">Theory</td>
              <td rowspan="1" colspan="1">Estimate of <abbrev xlink:title="Financial development" id="ABBRID0E1KAC">FD</abbrev></td>
              <td rowspan="1" colspan="1">Dimension of <abbrev xlink:title="Financial development" id="ABBRID0EBLAC">FD</abbrev></td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">1</td>
              <td rowspan="1" colspan="1">Gregorio and Guidotti (1995); <xref ref-type="bibr" rid="B10">Andersen and Tarp (2003)</xref>; <xref ref-type="bibr" rid="B68">King and Levine (1993)</xref>; <xref ref-type="bibr" rid="B94">Rioja and Valev (2004)</xref>; <xref ref-type="bibr" rid="B20">Beck and Levine (2004)</xref>; <xref ref-type="bibr" rid="B97">Rousseau and Wachtel (2011)</xref>; <xref ref-type="bibr" rid="B15">Arcand et al. (2011)</xref>; Beck et al. (2012); <xref ref-type="bibr" rid="B30">Cecchetti and Kharroubi (2012)</xref>; <xref ref-type="bibr" rid="B73">Law and Singh (2014)</xref></td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Private credit provided by domestic commercial banks and other financial institutions-to-GDP</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2</td>
              <td rowspan="1" colspan="1">Shen and Lee (2006); Chakraborty (2010)</td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Stock-market activity</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B96">Rousseau and Wachtel (2002)</xref>; <xref ref-type="bibr" rid="B118">Yilmazkuday (2011)</xref></td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">M1-to-GDP ratio</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">4</td>
              <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B41">Demetriades and Hussein (1996)</xref>; Giedeman and Compton (2009); <xref ref-type="bibr" rid="B14">Anwar and Cooray (2012)</xref></td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">M2-to-GDP ratio</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">5</td>
              <td rowspan="1" colspan="1">Dawson (2008); <xref ref-type="bibr" rid="B57">Hassan et al. (2011)</xref></td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">M3-to-GDP ratio</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">6</td>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B52">Fink et al. (2003)</xref>
              </td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Bond-market development</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">7</td>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B2">Bahri et al. (2018)</xref>
              </td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Private credit-to-deposit-money ratio</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">8</td>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B78">Levine and Zervos (1998)</xref>
              </td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Stock-market liquidity (financial-market development)</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">9</td>
              <td rowspan="1" colspan="1">Levine et al. (2000); <xref ref-type="bibr" rid="B22">Beck et al. (2000)</xref></td>
              <td rowspan="1" colspan="1">Supply-leading hypothesis</td>
              <td rowspan="1" colspan="1">Country’s legal origin</td>
              <td rowspan="1" colspan="1">Financial depth</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Source</italic>: Compiled by the author.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Beyond measurement inconsistencies, another shortcoming is the over­emphasis on financial depth as the sole indicator of <abbrev xlink:title="Financial development" id="ABBRID0EECAE">FD</abbrev>. While depth — defined as the size of financial institutions and markets relative to GDP — is important, it does not fully capture the complexity of <abbrev xlink:title="Financial development" id="ABBRID0EICAE">FD</abbrev>. The literature increasingly re­cognizes three core dimensions: financial depth, financial access, and financial efficiency. Financial access refers to the availability and affordability of financial services, ensuring that individuals and businesses can participate in financial systems. Financial efficiency measures how effectively institutions allocate capital, manage risk, and support economic activity.</p>
      <p>The failure to incorporate financial access and efficiency into <abbrev xlink:title="Financial development" id="ABBRID0EOCAE">FD</abbrev> measurement represents a major gap. This omission limits policymakers’ ability to design ­holistic financial policies that promote inclusive and sustainable development. Most existing research focuses predominantly on depth, overlooking the essential contributions of access and efficiency in shaping overall effectiveness. Addressing this gap — by integrating all three dimensions (depth, access, and efficiency) into analysis — enables a more comprehensive understanding of the finance — growth relationship and supports the formulation of policies aimed at enhancing financial stability and long-term growth.</p>
      <p>Traditional measures — such as credit-to-GDP and stock-market capitalization ratios — offer narrow proxies that do not capture the full scope of financial develop­ment. A more robust approach evaluates these aspects using composite indices with well-defined sub-indices, yielding a more accurate estimate of <abbrev xlink:title="Financial development" id="ABBRID0EUCAE">FD</abbrev>. Moreover, <abbrev xlink:title="Financial development" id="ABBRID0EYCAE">FD</abbrev> should not be confined to a single dimension (depth). A holistic measure must incorporate financial efficiency and financial access, which are equally critical for understanding how financial systems affect economic performance.</p>
      <p>Recognizing these gaps, this study adopts a comprehensive index that evaluates both financial institutions and financial markets, incorporating depth, efficiency, and access as key dimensions through structured sub-indices.</p>
      <p>The divergence in empirical findings further highlights the complexity of the relationship between <abbrev xlink:title="Financial development" id="ABBRID0E6CAE">FD</abbrev> and economic volatility, underscoring the need for systematic investigation. Table <xref ref-type="table" rid="T2">2</xref> illustrates the inconclusive nature of existing research, showing how different studies reach conflicting conclusions regarding the impact of <abbrev xlink:title="Financial development" id="ABBRID0EHDAE">FD</abbrev> on volatility. This variation suggests that the effect of <abbrev xlink:title="Financial development" id="ABBRID0ELDAE">FD</abbrev> may be context-dependent — shaped by institutional quality, regulatory frameworks, and broader macroeconomic conditions. Therefore, a more nuanced understanding of threshold effects is essential to determine whether excessive financialization is universally detrimental or whether its consequences differ across economic environments.</p>
      <table-wrap id="T2" position="float" orientation="portrait">
        <label>Table 2.</label>
        <caption>
          <p>Inconclusive evidence: Relationship between financial development and economic volatility.</p>
        </caption>
        <table id="TID0EOZAI" rules="all">
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">Evidence type</td>
              <td rowspan="1" colspan="1">Authors</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Positive relationship between financial development and economic volatility</td>
              <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B44">Demirgüç-Kunt and Detragiache (1998</xref>, <xref ref-type="bibr" rid="B45">2002</xref>); <xref ref-type="bibr" rid="B61">Jorda et al. (2011)</xref>; <xref ref-type="bibr" rid="B63">Kaminsky and Reinhart (1999)</xref>; <xref ref-type="bibr" rid="B48">Domaç and Peria (2003)</xref>; <xref ref-type="bibr" rid="B101">Schularick and Taylor (2012)</xref>; <xref ref-type="bibr" rid="B93">Reinhart and Rogoff (2009)</xref>; <xref ref-type="bibr" rid="B59">Ibrahim and Alagidede (2017)</xref>; <xref ref-type="bibr" rid="B69">Kiyotaki and Moore (1997)</xref>; <xref ref-type="bibr" rid="B21">Beck et al. (2014)</xref>; <xref ref-type="bibr" rid="B50">Enoch and Ötker-Robe (2007)</xref>; <xref ref-type="bibr" rid="B54">Gourinchas et al. (2001)</xref>; <xref ref-type="bibr" rid="B95">Rodrik (1998)</xref>; Stiglitz (2002); <xref ref-type="bibr" rid="B25">Bernanke and Gertler (1990)</xref>; <xref ref-type="bibr" rid="B24">Bernanke and Blinder (1992)</xref>; <xref ref-type="bibr" rid="B3">Acemoglu and Zilibotti (1997)</xref>; Ashcraft and Santos (2009); <xref ref-type="bibr" rid="B53">Gennaioli et al. (2012)</xref>; <xref ref-type="bibr" rid="B74">Le et al. (2023)</xref></td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Negative relationship between financial development and economic volatility</td>
              <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B60">Iwasaki et al. (2020)</xref>; <xref ref-type="bibr" rid="B77">Levine and Warusawitharana (2021)</xref>; Denizer et al. (2002); <xref ref-type="bibr" rid="B72">Larrain (2006)</xref>; Raddatz (2006); <xref ref-type="bibr" rid="B88">Park (2015)</xref>; Beck et al. (2013); <xref ref-type="bibr" rid="B9">Alagidede and Ibrahim (2016)</xref>; <xref ref-type="bibr" rid="B62">Kapingura et al. (2022)</xref>; <xref ref-type="bibr" rid="B81">Manganelli and Popov (2015)</xref>; <xref ref-type="bibr" rid="B116">Xue (2020)</xref>; <xref ref-type="bibr" rid="B115">Xu (2007)</xref></td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">U-shaped relationship between financial development and economic volatility</td>
              <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B26">Bijlsma et al. (2018)</xref>; Alatrash et al. (2014); <xref ref-type="bibr" rid="B49">Easterly et al. (2000)</xref>; <xref ref-type="bibr" rid="B71">Kunieda (2008)</xref>; <xref ref-type="bibr" rid="B36">Dabla-Norris and Srivisal (2013)</xref>; <xref ref-type="bibr" rid="B98">Sahay et al. (2015)</xref></td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Insignificant impact of financial development on economic volatility</td>
              <td rowspan="1" colspan="1">Beck et al. (2003)</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Source</italic>: Compiled by the author.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The literature shows that the relationship between financial development and economic volatility is both inconclusive and underexplored. Few studies investigate which specific dimensions — depth, access, or efficiency — drive heightened volatility, leaving a significant research gap. This study addresses that shortcoming. Moreover, recent research on <abbrev xlink:title="Financial development" id="ABBRID0EGJAE">FD</abbrev> and economic growth, particularly in the post-Global Financial Crisis (2008) era, has largely focused on developing countries or single-country cases (e.g., <xref ref-type="bibr" rid="B64">Karagol et al., 2022</xref>; <xref ref-type="bibr" rid="B98">Sahay et al., 2015</xref>; <xref ref-type="bibr" rid="B2">Bahri et al., 2018</xref>; <xref ref-type="bibr" rid="B86">Oro and Alagidede, 2018</xref>). This narrow scope is notable given that the crisis originated in developed countries with advanced financial markets and institutions. The lack of a comprehensive analysis of these economies may hinder effective policy design — an observation that also applies to the relationship between <abbrev xlink:title="Financial development" id="ABBRID0E1JAE">FD</abbrev> and economic-growth volatility.</p>
      <p>Overall, the existing literature highlights a paradoxical and inconsistent relationship between financial development, economic growth, and its volatility. Empirical studies report positive, negative, U-shaped, and insignificant relationships. These inconsistencies present a dilemma for policymakers, who must decide whether to promote <abbrev xlink:title="Financial development" id="ABBRID0EAKAE">FD</abbrev> as a tool for growth or to curtail it to prevent imbalances that could destabilize the economy.</p>
    </sec>
    <sec sec-type="﻿3. Hypotheses" id="SECID0EEKAE">
      <title>﻿3. Hypotheses</title>
      <p>The empirical literature provides mixed evidence — both negative and positive — regarding the relationship between <abbrev xlink:title="Financial development" id="ABBRID0EKKAE">FD</abbrev> and EV. Building on this ambigui­ty, we hypothesize a nonlinear relationship between <abbrev xlink:title="Financial development" id="ABBRID0EOKAE">FD</abbrev> and EV: <abbrev xlink:title="Financial development" id="ABBRID0ESKAE">FD</abbrev> initially promotes stability by reducing EV, but beyond a threshold it may increase volatility.</p>
      <p>H1: There is a nonlinear relationship between <abbrev xlink:title="Financial development" id="ABBRID0EYKAE">FD</abbrev> and EV in developed countries. H2: There is a nonlinear relationship between <abbrev xlink:title="Financial development" id="ABBRID0E3KAE">FD</abbrev> and EV in developing countries. (see Fig. <xref ref-type="fig" rid="F1">1</xref>).</p>
      <fig id="F1" position="float" orientation="portrait">
        <object-id content-type="arpha">58A046D0-499A-57D7-B03E-F74FD9AC6F51</object-id>
        <label>Fig. 1.</label>
        <caption>
          <p>Research flow diagram. <italic>Source</italic>: Compiled by the author.</p>
        </caption>
        <graphic xlink:href="rujec-11-e154180-g001.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1493365.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1493365</uri>
        </graphic>
      </fig>
    </sec>
    <sec sec-type="materials|methods" id="SECID0ETLAE">
      <title>﻿4. Materials and methods</title>
      <p>This study examines a <italic>nonlinear</italic> relationship between financial development (<italic><abbrev xlink:title="Financial development" id="ABBRID0E3LAE">FD</abbrev></italic>) and economic growth volatility (<italic>EV</italic>) across two country groups — developed­ and developing — using panel data and two estimation strategies: <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0ECMAE">PCSE</abbrev> and <abbrev xlink:title="generalized method of moments" id="ABBRID0EGMAE">GMM</abbrev>. The main independent variable, <italic><abbrev xlink:title="Financial development" id="ABBRID0ELMAE">FD</abbrev></italic>, is measured with a composite index comprising three sub-dimensions — depth, access, and efficiency — each defined separately for <abbrev xlink:title="financial institutions" id="ABBRID0EPMAE">FI</abbrev> and <abbrev xlink:title="financial markets" id="ABBRID0ETMAE">FM</abbrev>.</p>
      <p>The empirical model is represented by Equation (1), which links the dependent variable, <italic>EV</italic>, to <italic><abbrev xlink:title="Financial development" id="ABBRID0E3MAE">FD</abbrev></italic> and controls for country <italic>j</italic> at time <italic>t</italic>:</p>
      <p><mml:math id="M1"><mml:mi>E</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>F</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>F</mml:mi><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>δ</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math> (1)</p>
      <p>Equation (1) tests Hypotheses 1 and 2 regarding nonlinearity between <italic><abbrev xlink:title="Financial development" id="ABBRID0EOOAE">FD</abbrev></italic> and <italic>EV</italic>. A <italic>positive</italic> coefficient on the quadratic term (<italic>γ</italic><sub>2</sub>) indicates a <italic>U-shaped</italic> relationship (stability at lower <abbrev xlink:title="Financial development" id="ABBRID0E2OAE">FD</abbrev> and higher EV beyond a threshold), whereas a <italic>negative γ</italic><sub>2</sub> indicates an <italic>inverted-U</italic>. The turning point is given by −<italic>γ</italic><sub>1</sub>/(2<italic>γ</italic><sub>2</sub>) when <italic>γ</italic><sub>2</sub> ≠ 0.</p>
      <p>Diagnostic tests indicate autocorrelation, heteroskedasticity, and cross‑sectional dependence; therefore, we employ <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EPPAE">PCSE</abbrev> to estimate Equation (1). As a robustness check and to address potential endogeneity, we also estimate the model using <abbrev xlink:title="generalized method of moments" id="ABBRID0ETPAE">GMM</abbrev>.</p>
      <sec sec-type="4.1. Variables of the study" id="SECID0EXPAE">
        <title>
          <italic>4.1. Variables of the study</italic>
        </title>
        <p>The dependent variable, <italic>EV</italic>, captures fluctuations in economic performance and is measured as the standard deviation of per-capita GDP growth, providing an indicator of macroeconomic stability and the extent of output fluctuations over time.</p>
        <p>The construction of the financial development index follows a structured, multi-step approach. First, we develop six sub-indices: Financial Institutions’ Access (<abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0EEQAE">FIA</abbrev>), Financial Institutions’ Depth (<abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EIQAE">FID</abbrev>), Financial Institutions’ Efficiency (FIE), Financial Markets’ Access (<abbrev xlink:title="Financial Markets’ Access" id="ABBRID0EMQAE">FMA</abbrev>), Financial Markets’ Depth (<abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EQQAE">FMD</abbrev>), and Financial Markets’ Efficiency (FME). Each sub-index aggregates the corresponding variables in Table <xref ref-type="table" rid="T3">3</xref> to capture distinct aspects of <abbrev xlink:title="Financial development" id="ABBRID0EYQAE">FD</abbrev>. For example, <abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0E3QAE">FID</abbrev> combines pension-fund assets, private-sector credit, insurance premiums (life and nonlife), and mutual-fund assets. We use principal component analysis (<abbrev xlink:title="principal component analysis" id="ABBRID0EARAE">PCA</abbrev>) to determine variable weights when constructing each composite sub-index.</p>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 3.</label>
          <caption>
            <p>Estimates of financial development.</p>
          </caption>
          <table id="TID0E33AI" rules="all">
            <tbody>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Financial institutions</td>
                <td rowspan="1" colspan="1">Financial markets</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Depth</td>
                <td rowspan="1" colspan="1">(1) Private-sector credit (% of GDP) (2) Pension-fund assets (% of GDP) (3) Mutual-fund assets (% of GDP) (4) Insurance premiums, life and nonlife (% of GDP)</td>
                <td rowspan="1" colspan="1">(1) Stock-market capitalization-to-GDP (2) Stocks-traded-to-GDP (3) International debt securities, government (% of GDP) (4) Total debt securities of nonfinancial corporations (% of GDP)  (5) Total debt securities of financial corporations (% of GDP)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Access</td>
                <td rowspan="1" colspan="1">(1) Bank branches (commercial) per 100,000 adults (2) ATMs per 100,000 adults</td>
                <td rowspan="1" colspan="1">(1) Percent of market capitalization outside the top ten companies (2) Total number of debt issuers (domestic and external; nonfinancial and financial corporations)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Efficiency</td>
                <td rowspan="1" colspan="1">(1) Net interest margin (2) Lending — deposit spread (3) Non-interest income to total income (4) Overhead costs to total assets (5) Return on assets (6) Return on equity</td>
                <td rowspan="1" colspan="1">(1) Stock-market turnover ratio (stocks traded/capitalization)</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the author using data from <xref ref-type="bibr" rid="B98">Sahay et al. (2015)</xref>.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Second, we obtain the Financial Institutions (<abbrev xlink:title="financial institutions" id="ABBRID0EZUAE">FI</abbrev>) and Financial Markets (<abbrev xlink:title="financial markets" id="ABBRID0E4UAE">FM</abbrev>) indices by aggregating their respective sub-indices via <abbrev xlink:title="principal component analysis" id="ABBRID0EBVAE">PCA</abbrev>. Finally, we combine <abbrev xlink:title="financial institutions" id="ABBRID0EFVAE">FI</abbrev> and <abbrev xlink:title="financial markets" id="ABBRID0EJVAE">FM</abbrev> to construct the overall <abbrev xlink:title="Financial development" id="ABBRID0ENVAE">FD</abbrev> index, a comprehensive multidimensional measure of financial development.</p>
      </sec>
      <sec sec-type="4.2. Control variables" id="SECID0ERVAE">
        <title>
          <italic>4.2. Control variables</italic>
        </title>
        <p>Following <xref ref-type="bibr" rid="B20">Beck and Levine (2004)</xref> and <xref ref-type="bibr" rid="B98">Sahay et al. (2015)</xref>, we use a standard set of country-level controls to account for panel heterogeneity: foreign direct investment (FDI), inflation, education, public consumption, trade openness, and gross capital inflows. Including these controls enhances the robust­ness of the estimates while keeping the focus on the primary explanatory variable <italic><abbrev xlink:title="Financial development" id="ABBRID0EDWAE">FD</abbrev></italic>.</p>
      </sec>
      <sec sec-type="methods" id="SECID0EHWAE">
        <title>
          <italic>4.3. Data sources, descriptive testing, diagnostic testing, and estimation methods</italic>
        </title>
        <p>We test the hypotheses using a sample of 30 developed and 30 developing econo­mies, employing country-level annual data for the independent, dependent, and control variables over 1981–2022. This extended timeframe captures the evolution of financial systems from rudimentary banking structures to modern, techno­logy-driven systems. Unlike many recent studies that focus on the post‑Global Financial Crisis period or begin in the mid-1990s, our coverage spans more than four decades. Countries are selected using the International Monetary Fund (<abbrev>IMF</abbrev>) classification, with additional filtering based on data availability.</p>
        <p>Data are drawn from widely used sources, including the World Development Indicators and <ext-link xlink:type="simple" ext-link-type="uri" xlink:href="http://TheGlobalEconomy.com">TheGlobalEconomy.com</ext-link>. Countries with substantial missing data are excluded to preserve data integrity, although this exclusion may introduce selection bias.</p>
        <p>A panel-data structure is adopted because it improves identification relative to pure cross-sectional or time-series approaches. Cross-country models often suffer from unobserved country-specific effects being absorbed into the error term; if these effects correlate with regressors, coefficients are biased. Panel data help control for individual heterogeneity and reduce omitted-variable bias, and they facilitate the use of instrumental-variable strategies where appropriate (<xref ref-type="bibr" rid="B58">Hsiao, 1986</xref>). All data management, estimation, and robustness checks are conducted in Stata/SE 15.</p>
        <p>To verify consistency and reliability, we compute summary statistics (mean, minimum, maximum, and standard deviation) and assess multicollinearity ­using the variance inflation factor (<abbrev xlink:title="variance inflation factor" id="ABBRID0E5WAE">VIF</abbrev>). We also examine normality and test for heteroskedasticity, cross-sectional dependence, and autocorrelation.</p>
        <p>The dataset is an unbalanced panel because data availability varies across countries and time. Missing observations can introduce bias — particularly if nonrandom — but this concern is less acute for developed countries with more complete historical data. For developing countries, nonrandom exclusion is applied where missingness is substantial. Unbalanced panels can bias standard errors, aggravate heteroskedasticity and serial correlation, and reduce efficiency. To mitigate these risks, we estimate models using panel-corrected standard errors (<abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EEXAE">PCSE</abbrev>) and, as a robustness check, the generalized method of moments (<abbrev xlink:title="generalized method of moments" id="ABBRID0EIXAE">GMM</abbrev>).</p>
        <p><abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EOXAE">PCSE</abbrev> adjusts standard errors for heteroskedasticity, serial correlation, and cross-sectional dependence, yielding more reliable inference in panel settings, including unbalanced panels. It is generally preferred to ordinary least squares and often performs better than feasible generalized least squares in empirical applications.</p>
        <p>To strengthen econometric validity further, we also estimate via <abbrev xlink:title="generalized method of moments" id="ABBRID0EUXAE">GMM</abbrev> — well suited for addressing endogeneity and omitted-variable bias. The <abbrev xlink:title="generalized method of moments" id="ABBRID0EYXAE">GMM</abbrev> framework introduced by <xref ref-type="bibr" rid="B16">Arellano and Bover (1995)</xref> is widely used in the finance — growth literature and is effective for handling simultaneity, reverse causality, and unobserved heterogeneity by leveraging instrumental variables.</p>
        <p>While <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0ECYAE">PCSE</abbrev> focuses on improving inference under heteroskedasticity and cross-sectional correlation given a correctly specified model, <abbrev xlink:title="generalized method of moments" id="ABBRID0EGYAE">GMM</abbrev> offers a complementary approach that allows consistent parameter estimation under weaker assumptions, particularly in the presence of endogenous regressors.</p>
      </sec>
    </sec>
    <sec sec-type="﻿5. Results" id="SECID0EKYAE">
      <title>﻿5. Results</title>
      <p>The descriptive statistics are reported in Table <xref ref-type="table" rid="T4">4</xref>. The key independent variable­, financial development (<italic><abbrev xlink:title="Financial development" id="ABBRID0EVYAE">FD</abbrev></italic>), has a mean of 0.456 (std. deviation 0.202; range 0–1.097). The panel spans 60 countries (30 developed and 30 developing­) over 1981–2022, covering multiple cycles (booms, recessions, and crises). The dispersion in <italic><abbrev xlink:title="Financial development" id="ABBRID0E1YAE">FD</abbrev></italic> reflects the heterogeneous economic conditions in the sample.</p>
      <table-wrap id="T4" position="float" orientation="portrait">
        <label>Table 4.</label>
        <caption>
          <p>Summary statistics: Financial development variables.</p>
        </caption>
        <table id="TID0EYABI" rules="all">
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">Variable</td>
              <td rowspan="1" colspan="1">Observations</td>
              <td rowspan="1" colspan="1">Mean</td>
              <td rowspan="1" colspan="1">Std. dev.</td>
              <td rowspan="1" colspan="1">Min.</td>
              <td rowspan="1" colspan="1">Max.</td>
              <td rowspan="1" colspan="1">Skewness</td>
              <td rowspan="1" colspan="1">Kurtosis</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="variance inflation factor" id="ABBRID0EI1AE">VIF</abbrev>
                </italic>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0ES1AE">FID</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.42654</td>
              <td rowspan="1" colspan="1">0.28524</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.11258</td>
              <td rowspan="1" colspan="1">0.44456</td>
              <td rowspan="1" colspan="1">1.9025</td>
              <td rowspan="1" colspan="1">1.62</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EU2AE">FID</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.26798</td>
              <td rowspan="1" colspan="1">0.27687</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.20689</td>
              <td rowspan="1" colspan="1">1.2258</td>
              <td rowspan="1" colspan="1">3.7872</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0EY3AE">FIA</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.47659</td>
              <td rowspan="1" colspan="1">0.27614</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.16111</td>
              <td rowspan="1" colspan="1">0.24213</td>
              <td rowspan="1" colspan="1">1.8174</td>
              <td rowspan="1" colspan="1">1.46</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0E14AE">FIA</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.27256</td>
              <td rowspan="1" colspan="1">0.29035</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.14878</td>
              <td rowspan="1" colspan="1">0.9540</td>
              <td rowspan="1" colspan="1">2.6687</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>FIE</italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.61365</td>
              <td rowspan="1" colspan="1">0.15220</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">0.93994</td>
              <td rowspan="1" colspan="1">−1.5309</td>
              <td rowspan="1" colspan="1">3.6790</td>
              <td rowspan="1" colspan="1">1.34</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>FIE</italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.37689</td>
              <td rowspan="1" colspan="1">0.14545</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">0.90228</td>
              <td rowspan="1" colspan="1">−0.2223</td>
              <td rowspan="1" colspan="1">2.5629</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0E6AAG">FMD</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.35311</td>
              <td rowspan="1" colspan="1">0.30222</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.24777</td>
              <td rowspan="1" colspan="1">0.6430</td>
              <td rowspan="1" colspan="1">2.6017</td>
              <td rowspan="1" colspan="1">1.51</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EBCAG">FMD</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.21832</td>
              <td rowspan="1" colspan="1">0.27569</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.53361</td>
              <td rowspan="1" colspan="1">1.3061</td>
              <td rowspan="1" colspan="1">3.4060</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Markets’ Access" id="ABBRID0EFDAG">FMA</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.39473</td>
              <td rowspan="1" colspan="1">0.23749</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.19444</td>
              <td rowspan="1" colspan="1">0.4857</td>
              <td rowspan="1" colspan="1">2.3668</td>
              <td rowspan="1" colspan="1">1.20</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial Markets’ Access" id="ABBRID0EHEAG">FMA</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.19881</td>
              <td rowspan="1" colspan="1">0.23441</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.35942</td>
              <td rowspan="1" colspan="1">1.6898</td>
              <td rowspan="1" colspan="1">5.2147</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>FME</italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.48087</td>
              <td rowspan="1" colspan="1">0.34781</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.27604</td>
              <td rowspan="1" colspan="1">0.3421</td>
              <td rowspan="1" colspan="1">1.5158</td>
              <td rowspan="1" colspan="1">1.17</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>FME</italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.36437</td>
              <td rowspan="1" colspan="1">0.36534</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.69719</td>
              <td rowspan="1" colspan="1">0.7825</td>
              <td rowspan="1" colspan="1">2.3647</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="financial institutions" id="ABBRID0ELHAG">FI</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.50208</td>
              <td rowspan="1" colspan="1">0.27990</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.16639</td>
              <td rowspan="1" colspan="1">0.1183</td>
              <td rowspan="1" colspan="1">1.6897</td>
              <td rowspan="1" colspan="1">1.89</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>FI2</italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.31340</td>
              <td rowspan="1" colspan="1">0.26311</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.12491</td>
              <td rowspan="1" colspan="1">0.6144</td>
              <td rowspan="1" colspan="1">3.2588</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="financial markets" id="ABBRID0EMJAG">FM</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.38945</td>
              <td rowspan="1" colspan="1">0.27666</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.09129</td>
              <td rowspan="1" colspan="1">0.4141</td>
              <td rowspan="1" colspan="1">2.2571</td>
              <td rowspan="1" colspan="1">1.41</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="financial markets" id="ABBRID0EOKAG">FM</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.23333</td>
              <td rowspan="1" colspan="1">0.24888</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.18968</td>
              <td rowspan="1" colspan="1">1.1874</td>
              <td rowspan="1" colspan="1">3.3435</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial development" id="ABBRID0ESLAG">FD</abbrev>
                </italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.45667</td>
              <td rowspan="1" colspan="1">0.20201</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.09732</td>
              <td rowspan="1" colspan="1">0.2459</td>
              <td rowspan="1" colspan="1">1.3267</td>
              <td rowspan="1" colspan="1">1.42</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <abbrev xlink:title="Financial development" id="ABBRID0EUMAG">FD</abbrev>
                </italic>
                <sup>2</sup>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">0.25554</td>
              <td rowspan="1" colspan="1">0.19818</td>
              <td rowspan="1" colspan="1">0</td>
              <td rowspan="1" colspan="1">1.14903</td>
              <td rowspan="1" colspan="1">2.0789</td>
              <td rowspan="1" colspan="1">3.9980</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>EV</italic>
              </td>
              <td rowspan="1" colspan="1">2160</td>
              <td rowspan="1" colspan="1">2.872</td>
              <td rowspan="1" colspan="1">1.301</td>
              <td rowspan="1" colspan="1">−0.19368</td>
              <td rowspan="1" colspan="1">0.30191</td>
              <td rowspan="1" colspan="1">−0.1912</td>
              <td rowspan="1" colspan="1">7.3601</td>
              <td rowspan="1" colspan="1">–</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Source</italic>: Author’s calculations.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>For the linear terms of the financial-development components — financial institutions’ depth (<italic><abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0E1OAG">FID</abbrev></italic>), access (<italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0E6OAG">FIA</abbrev></italic>), and efficiency (<italic>FIE</italic>), and financial markets’ depth (<italic><abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EGPAG">FMD</abbrev></italic>), access (<italic><abbrev xlink:title="Financial Markets’ Access" id="ABBRID0ELPAG">FMA</abbrev></italic>), and efficiency (<italic>FME</italic>) — dispersion is moderate. Notably, <abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0ERPAG">FIA</abbrev> and FIE have standard deviations below their means, indicating relatively tight distributions across countries.</p>
      <p>By contrast, for the squared terms of the market subindices — <italic><abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EYPAG">FMD</abbrev></italic><sup>2</sup>, <italic><abbrev xlink:title="Financial Markets’ Access" id="ABBRID0E5PAG">FMA</abbrev></italic><sup>2</sup>, and <italic>FME</italic><sup>2</sup> — the standard deviations exceed the means, suggesting that higher levels of market development are associated with greater variability. This pattern is consistent with threshold-type, volatility-enhancing effects at elevated levels of market development.</p>
      <p>An inspection of skewness and kurtosis shows no extreme departures from symmetry or thin/thick tails: most variables have skewness within ±2 (<xref ref-type="bibr" rid="B55">Hair et al., 2022</xref>), and kurtosis values are moderate. As expected, squared terms (e.g., <italic><abbrev xlink:title="Financial development" id="ABBRID0ENQAG">FD</abbrev></italic><sup>2</sup> components) are more leptokurtic, a common feature of transformed financial indices. These features do not undermine inference given our use of <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0ESQAG">PCSE</abbrev> and <abbrev xlink:title="generalized method of moments" id="ABBRID0EWQAG">GMM</abbrev>. Summary statistics for the dependent variable, <italic>EV</italic> (realized volatility of per-capita GDP growth), indicate meaningful dispersion across countries and years (Table <xref ref-type="table" rid="T4">4</xref>). Variance inflation factors (<abbrev xlink:title="Variance inflation factors" id="ABBRID0EARAG">VIFs</abbrev>) for linear regressors are all &lt; 2, indicating that multicollinearity is not a concern and that predictors contribute distinct explanatory power.</p>
      <sec sec-type="5.1. Diagnostic testing" id="SECID0EERAG">
        <title>
          <italic>5.1. Diagnostic testing</italic>
        </title>
        <p>We apply the Breusch–Pagan test for heteroskedasticity to assess whether error variances are constant across observations. Table <xref ref-type="table" rid="T5">5</xref> indicates heteroskedasticity, implying that the variance of residuals varies across observations.</p>
        <table-wrap id="T5" position="float" orientation="portrait">
          <label>Table 5.</label>
          <caption>
            <p>Diagnostic testing results for relationship <italic><abbrev xlink:title="Financial development" id="ABBRID0E2RAG">FD</abbrev></italic>, <italic><abbrev xlink:title="Financial development" id="ABBRID0EASAG">FD</abbrev></italic><sup>2</sup> → <italic>EV</italic>.</p>
          </caption>
          <table id="TID0E52BI" rules="all">
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">Issue</td>
                <td rowspan="1" colspan="1">Test statistic</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Heteroskedasticity (Breusch–Pagan)</td>
                <td rowspan="1" colspan="1">213.70<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Cross-sectional dependence (Pesaran <abbrev xlink:title="cross‑sectional dependence" id="ABBRID0EATAG">CD</abbrev>)</td>
                <td rowspan="1" colspan="1">49.127<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Autocorrelation (Breusch–Godfrey)</td>
                <td rowspan="1" colspan="1">40.279<sup>***</sup></td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Note</italic>: <sup>***</sup><italic>p</italic> &lt; 0.01. Test statistics are reported as returned by the respective procedures (LM/χ<sup>2</sup> for Breusch–Pagan and Breusch–Godfrey; <abbrev xlink:title="cross‑sectional dependence" id="ABBRID0E5TAG">CD</abbrev> statistic for Pesaran). <italic>Source</italic>: Author’s calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>To examine correlation across countries, we use <xref ref-type="bibr" rid="B89">Pesaran’s (2004)</xref> cross‑sectional dependence (<abbrev xlink:title="cross‑sectional dependence" id="ABBRID0EKUAG">CD</abbrev>) test. The results confirm significant cross-sectional dependence across specifications linking <italic><abbrev xlink:title="Financial development" id="ABBRID0EPUAG">FD</abbrev></italic> (and <italic><abbrev xlink:title="Financial development" id="ABBRID0EUUAG">FD</abbrev></italic><sup>2</sup>) to <italic>EV</italic>, suggesting that shocks affecting one country may influence others in the panel.</p>
        <p>Lastly, the Breusch–Godfrey test is used to detect serial correlation in resi­duals across panel units. The results show statistically significant autocorrelation.</p>
        <p>These diagnostics motivate the use of <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0E5UAG">PCSE</abbrev> and support our <abbrev xlink:title="generalized method of moments" id="ABBRID0ECVAG">GMM</abbrev> robustness checks.</p>
      </sec>
      <sec sec-type="5.2. Financial development and economic volatility" id="SECID0EGVAG">
        <title>
          <italic>5.2. Financial development and economic volatility</italic>
        </title>
        <p>The findings in Table <xref ref-type="table" rid="T6">6</xref> document the relationship between <italic><abbrev xlink:title="Financial development" id="ABBRID0EUVAG">FD</abbrev></italic> and <italic>EV</italic> across developed and developing economies. For the 30 <italic>developed</italic> countries, we find a <italic>U-shaped <abbrev xlink:title="Financial development" id="ABBRID0E5VAG">FD</abbrev>–EV</italic> relationship: the linear <abbrev xlink:title="Financial development" id="ABBRID0EDWAG">FD</abbrev> term is negative and the quadratic term is positive, implying that <italic><abbrev xlink:title="Financial development" id="ABBRID0EIWAG">FD</abbrev></italic> initially stabilizes <italic>EV</italic> but, beyond a threshold, raises volatility.</p>
        <table-wrap id="T6" position="float" orientation="portrait">
          <label>Table 6.</label>
          <caption>
            <p>Estimation results: Financial development and economic volatility.</p>
          </caption>
          <table id="TID0E45BI" rules="all">
            <tbody>
              <tr>
                <td rowspan="2" colspan="1">Variable</td>
                <td rowspan="1" colspan="1">Sample (method)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">60 countries (<abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EPXAG">PCSE</abbrev>)</td>
                <td rowspan="1" colspan="1">Developed (<abbrev xlink:title="panel-corrected standard errors" id="ABBRID0EXXAG">PCSE</abbrev>)</td>
                <td rowspan="1" colspan="1">Developing (<abbrev xlink:title="panel-corrected standard errors" id="ABBRID0E6XAG">PCSE</abbrev>)</td>
                <td rowspan="1" colspan="1">60 countries (twostep <abbrev xlink:title="generalized method of moments" id="ABBRID0EHYAG">GMM</abbrev>)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial development" id="ABBRID0ERYAG">FD</abbrev>
                  </italic>
                </td>
                <td rowspan="1" colspan="1">0.5239</td>
                <td rowspan="1" colspan="1">−0.0459<sup>*</sup></td>
                <td rowspan="1" colspan="1">0.0499<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.0598</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial development" id="ABBRID0ELZAG">FD</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.3256</td>
                <td rowspan="1" colspan="1">0.0444<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0598<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.0831<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="financial institutions" id="ABBRID0EJ1AG">FI</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0247<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.0378<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0709<sup>*</sup></td>
                <td rowspan="1" colspan="1">0.3591<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="financial markets" id="ABBRID0EJ2AG">FM</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0210<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0101<sup>***</sup></td>
                <td rowspan="1" colspan="1">−0.0456<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.3896<sup>**</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EJ3AG">FID</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0233<sup>***</sup></td>
                <td rowspan="1" colspan="1">0.0196<sup>***</sup></td>
                <td rowspan="1" colspan="1">−0.0388<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.1718<sup>**</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0EJ4AG">FIA</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0199<sup>***</sup></td>
                <td rowspan="1" colspan="1">−0.0289<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0513<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.1470<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>FIE</italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">−0.0436<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0593<sup>*</sup></td>
                <td rowspan="1" colspan="1">0.0382<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.1503<sup>**</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EG6AG">FMD</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0274<sup>***</sup></td>
                <td rowspan="1" colspan="1">0.0194<sup>***</sup></td>
                <td rowspan="1" colspan="1">0.0422<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.3120<sup>**</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Financial Markets’ Access" id="ABBRID0EGABG">FMA</abbrev>
                  </italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">0.0851<sup>*</sup></td>
                <td rowspan="1" colspan="1">0.0236<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0259<sup>***</sup></td>
                <td rowspan="1" colspan="1">0.1750<sup>***</sup></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>FME</italic>
                  <sup>2</sup>
                </td>
                <td rowspan="1" colspan="1">−0.0311<sup>**</sup></td>
                <td rowspan="1" colspan="1">−0.0241<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.0413<sup>**</sup></td>
                <td rowspan="1" colspan="1">0.1116<sup>***</sup></td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Note</italic>: Coefficients shown; <italic>p</italic>-values in parentheses; <sup>*</sup><italic>p</italic> &lt; 0.10, <sup>**</sup><italic>p</italic> &lt; 0.05, <sup>***</sup><italic>p</italic> &lt; 0.01. <abbrev xlink:title="panel-corrected standard errors" id="ABBRID0ERCBG">PCSE</abbrev> — panelcorrected standard errors; <abbrev xlink:title="generalized method of moments" id="ABBRID0EVCBG">GMM</abbrev> — generalized method of moments. <italic>Source</italic>: Author’s calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p><italic><abbrev xlink:title="financial institutions" id="ABBRID0E5CBG">FI</abbrev></italic> in developed economies also exhibit a U-shaped pattern with <italic>EV</italic>. At the subindex level, <italic><abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EFDBG">FID</abbrev></italic> is U-shaped, while <italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0EKDBG">FIA</abbrev></italic> and <italic>FIE</italic> are inverted U-shaped (IUS) — volatility increases at early stages of financial development, but declines once financial development reaches higher levels. These results align with ­evidence for advanced economies showing that volatility tends to rise at higher <italic><abbrev xlink:title="Financial development" id="ABBRID0ERDBG">FD</abbrev></italic> levels. U-shaped patterns for <italic><abbrev xlink:title="Financial development" id="ABBRID0EWDBG">FD</abbrev></italic>, <italic><abbrev xlink:title="financial institutions" id="ABBRID0E2DBG">FI</abbrev></italic>, <italic><abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EAEBG">FID</abbrev></italic>, and <italic><abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EFEBG">FMD</abbrev></italic> are consistent with Alatrash et al. (2014), <xref ref-type="bibr" rid="B13">Angeles (2015)</xref>, <xref ref-type="bibr" rid="B21">Beck et al. (2014)</xref>, <xref ref-type="bibr" rid="B36">Dabla-Norris and Srivisal (2013)</xref>, <xref ref-type="bibr" rid="B53">Gennaioli et al. (2012)</xref>, <xref ref-type="bibr" rid="B56">Haiss et al. (2016)</xref>, and <xref ref-type="bibr" rid="B93">Reinhart and Rogoff (2009)</xref>. Notably, financial access (<italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0ECFBG">FIA</abbrev></italic> and <italic><abbrev xlink:title="Financial Markets’ Access" id="ABBRID0EHFBG">FMA</abbrev></italic>) appears destabilizing at high development levels, echoing <xref ref-type="bibr" rid="B85">Naceur et al. (2019)</xref>.</p>
        <p>Several mechanisms may explain why elevated <italic><abbrev xlink:title="Financial development" id="ABBRID0ESFBG">FD</abbrev></italic> lifts volatility in developed economies. <xref ref-type="bibr" rid="B31">Cecchetti and Kharroubi (2015)</xref>, <xref ref-type="bibr" rid="B27">Bolton et al. (2016)</xref>, and <xref ref-type="bibr" rid="B90">Philippon (2010)</xref> argue that an expanding financial sector can draw skilled labor away from the real sector. <xref ref-type="bibr" rid="B67">Kindleberger (1978)</xref> posits that an oversized financial system encourages instruments that fuel speculation rather than investment; <xref ref-type="bibr" rid="B33">Chu (2020)</xref> likewise links rapid stock-market growth to speculative dynamics that undermine stability. In the <xref ref-type="bibr" rid="B84">Minsky (1974)</xref> view, deepening shifts capital toward speculative uses, increasing systemic risk; <xref ref-type="bibr" rid="B106">Tobin (1984)</xref> therefore proposed a transactions tax to curb destabilizing speculation.</p>
        <p>Excessive credit growth is another channel. <xref ref-type="bibr" rid="B44">Demirgüç-Kunt and Detragiache (1998</xref>, <xref ref-type="bibr" rid="B45">2002</xref>), <xref ref-type="bibr" rid="B61">Jordа et al. (2011)</xref>, <xref ref-type="bibr" rid="B63">Kaminsky and Reinhart (1999)</xref>, <xref ref-type="bibr" rid="B48">Domaç and Peria (2003)</xref>, and <xref ref-type="bibr" rid="B101">Schularick and Taylor (2012)</xref> show that large credit booms often precede downturns. <xref ref-type="bibr" rid="B19">Beck (2012)</xref> and <xref ref-type="bibr" rid="B13">Angeles (2015)</xref> find that household credit, in particular, amplifies volatility when funds flow to non-productive uses. <xref ref-type="bibr" rid="B97">Rousseau and Wachtel (2011)</xref> link the “vanishing effect” of <abbrev xlink:title="Financial development" id="ABBRID0EUHBG">FD</abbrev> to inflationary pressures and weakened banking stability at high depth. Complex financial engineering can also raise fragility: Ashcraft and Santos (2009) and <xref ref-type="bibr" rid="B53">Gennaioli et al. (2012)</xref> note that many instruments <italic>obscure</italic> rather than reduce risks. Securitization, while improving liquidity, has been tied to weaker screening and higher defaults (<xref ref-type="bibr" rid="B40">Dell’Ariccia et al., 2012</xref>a; <xref ref-type="bibr" rid="B66">Keys et al., 2010</xref>; <xref ref-type="bibr" rid="B83">Mian and Sufi, 2009</xref>). Banking concentration can further amplify volatility by restricting credit to collateral-rich firms, constraining entrepreneurship (<xref ref-type="bibr" rid="B76">Levine and Rubinstein, 2020</xref>; see also <xref ref-type="bibr" rid="B4">Adelino et al., 2015</xref>; <xref ref-type="bibr" rid="B35">Corradin and Popov, 2015</xref>; <xref ref-type="bibr" rid="B51">Fairlie and Krashinsky, 2012</xref>; <xref ref-type="bibr" rid="B65">Kerr and Nanda, 2009</xref>; <xref ref-type="bibr" rid="B100">Schmalz et al., 2017</xref>).</p>
        <p>For the 30 <italic>developing</italic> countries, we find an <italic>inverted U-shaped <abbrev xlink:title="Financial development" id="ABBRID0EIJBG">FD</abbrev>–EV</italic> ­relationship: volatility rises at early <italic><abbrev xlink:title="Financial development" id="ABBRID0EOJBG">FD</abbrev></italic> stages and falls at higher levels. Similar IUS patterns hold for <italic><abbrev xlink:title="financial institutions" id="ABBRID0ETJBG">FI</abbrev></italic>, <italic><abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EYJBG">FID</abbrev></italic>, and <italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0E4JBG">FIA</abbrev></italic>, while <italic>FIE</italic> is U-shaped. On the market side, <italic><abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0EEKBG">FMD</abbrev></italic> and <italic>FME</italic> are inverted U-shaped — consistent with <xref ref-type="bibr" rid="B62">Kapingura et al. (2022)</xref>, who report initially higher volatility that subsides as markets mature. <xref ref-type="bibr" rid="B85">Naceur et al. (2019)</xref> also find that improved financial access enhances stability in low-income settings, highlighting the role of inclusion. These findings accord with earlier work emphasizing transitional dynamics and diversification gains at higher development stages (<xref ref-type="bibr" rid="B6">Aghion et al., 2005</xref>; <xref ref-type="bibr" rid="B3">Acemoglu and Zilibotti, 1997</xref>; <xref ref-type="bibr" rid="B32">Cheng et al., 2021</xref>; <xref ref-type="bibr" rid="B82">Mbome, 2016</xref>; <xref ref-type="bibr" rid="B98">Sahay et al., 2015</xref>).</p>
        <p>Several factors may underpin these patterns. <xref ref-type="bibr" rid="B39">Deidda and Fattouh (2008)</xref> argue that the positive association between depth and growth can invert during shifts from bank-based to market-based systems. <xref ref-type="bibr" rid="B75">Levine (2022)</xref> emphasizes liquidity-risk channels affecting saving and investment, with implications for <italic>EV</italic> at different­ <italic><abbrev xlink:title="Financial development" id="ABBRID0ETLBG">FD</abbrev></italic> levels. Credit-to-GDP surges can raise volatility at high <italic><abbrev xlink:title="Financial development" id="ABBRID0EYLBG">FD</abbrev></italic> (<xref ref-type="bibr" rid="B50">Enoch and Ötker-Robe, 2007</xref>; <xref ref-type="bibr" rid="B54">Gourinchas et al., 2001</xref>), and household-credit growth has been linked to instability (<xref ref-type="bibr" rid="B99">Sassi and Gasmi, 2014</xref>).</p>
        <p>For the full sample of 60 countries, <italic><abbrev xlink:title="Financial development" id="ABBRID0ELMBG">FD</abbrev></italic> does not show a statistically significant linear association with <italic>EV</italic>, whereas the squared term is positive and significant (Table <xref ref-type="table" rid="T6">6</xref>). This pattern implies that volatility tends to rise at higher levels of <italic><abbrev xlink:title="Financial development" id="ABBRID0EWMBG">FD</abbrev></italic>, even if modest changes around lower levels are not strongly related to <italic>EV</italic>. In other words, the evidence points to a nonlinear, level-dependent effect in which excessive financial deepening is associated with greater macroeconomic instability.</p>
        <p><italic><abbrev xlink:title="financial institutions" id="ABBRID0E6MBG">FI</abbrev></italic> also display nonlinear effects. The squared terms for <italic><abbrev xlink:title="financial institutions" id="ABBRID0EENBG">FI</abbrev></italic> and its sub-indices — <italic><abbrev xlink:title="Financial Institutions’ Depth" id="ABBRID0EJNBG">FID</abbrev></italic>, <italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0EONBG">FIA</abbrev></italic>, and <italic>FIE</italic> — are jointly significant, indicating that banking-sector development affects <italic>EV</italic> through threshold-type mechanisms. Depth and access tend to become volatility-enhancing as they expand beyond moderate levels, consistent with the idea that rapid credit growth and broadening outreach can, after some point, fuel risk-taking and misallocation. The behavior of efficiency is more nuanced, suggesting that improvements in intermediation quality can dampen volatility up to a point, but may introduce new vulnerabilities when efficiency gains are driven by aggressive risk transfer or loosening lending standards. These findings are in line with previous work linking “too much finance” to heightened volatility (<xref ref-type="bibr" rid="B8">Aizenman et al., 2015</xref>; <xref ref-type="bibr" rid="B15">Arcand et al., 2011</xref>; <xref ref-type="bibr" rid="B33">Chu, 2020</xref>; Demetriades et al., 2023; <xref ref-type="bibr" rid="B56">Haiss et al., 2016</xref>; <xref ref-type="bibr" rid="B87">Pagano and Pica, 2012</xref>; <xref ref-type="bibr" rid="B97">Rousseau and Wachtel, 2011</xref>).</p>
        <p>By contrast, <italic><abbrev xlink:title="financial markets" id="ABBRID0EROBG">FM</abbrev></italic> exhibit a stabilizing effect at lower levels of development and a destabilizing effect at higher levels. In the baseline regressions, the linear­ <italic><abbrev xlink:title="financial markets" id="ABBRID0EWOBG">FM</abbrev></italic> term is negative and the squared term is positive, implying that initial deepening of financial markets helps absorb shocks and smooth fluctuations, but very high levels of market development are associated with increased volatility­. At the component level, <italic><abbrev xlink:title="Financial Markets’ Depth" id="ABBRID0E2OBG">FMD</abbrev></italic> follows a U-shaped pattern with <italic>EV</italic>: early stages of market deepening reduce volatility, whereas further expansion eventually becomes destabilizing. <italic>FME</italic> displays an IUS relationship, whereby initial efficiency gains lower volatility, but very high efficiency — often accompanied by complex trading strategies and higher leverage — can again raise exposure to systemic risk.</p>
        <p>To assess robustness, the study reestimates the models using <abbrev xlink:title="generalized method of moments" id="ABBRID0EFPBG">GMM</abbrev>. The <abbrev xlink:title="generalized method of moments" id="ABBRID0EJPBG">GMM</abbrev> results, also reported in Table <xref ref-type="table" rid="T6">6</xref>, confirm the significance and positive sign of the <italic><abbrev xlink:title="Financial development" id="ABBRID0ESPBG">FD</abbrev></italic> squared term and support the nonlinear roles of <italic><abbrev xlink:title="financial institutions" id="ABBRID0EXPBG">FI</abbrev></italic> and <italic><abbrev xlink:title="financial markets" id="ABBRID0E3PBG">FM</abbrev></italic>. In particular, the quadratic <italic><abbrev xlink:title="Financial development" id="ABBRID0EBQBG">FD</abbrev></italic> coefficient remains positive and significant, and the nonlinear terms for institutional and market development retain their expected signs, reinforcing the interpretation that it is the higher levels of financial deepening — rather than financial development per se — that are associated with higher volatility.</p>
        <p>Taken together, the evidence suggests that financial development has a dual effect on macroeconomic stability. Moderate development of financial institutions and markets tends to be stabilizing, strengthening risk sharing and smoothing fluctuations, whereas excessive deepening introduces systemic risks that raise volatility­. For regulators and policymakers, this underscores the importance of managing the pace and composition of financial-sector growth — especially the expansion of credit and the sophistication of market instruments — so that financial development supports, rather than undermines, long-term economic stability.</p>
      </sec>
    </sec>
    <sec sec-type="﻿6. Discussion and conclusion" id="SECID0EGQBG">
      <title>﻿6. Discussion and conclusion</title>
      <p>The results indicate that in developed economies economic volatility rises at higher levels of financial development. A decomposition shows that <italic>financial depth</italic> in both banking and market segments is the main driver of this effect, consistent with the “too-much-finance” view: beyond a threshold, additional deepening ceases to raise productivity and instead heightens fragility.</p>
      <p>On the banking side, abundant credit can misallocate resources toward saturated sectors, with surplus liquidity spilling into speculative, non-productive uses and inflating asset-price cycles. Concentrated banking structures may also exclude collateral-constrained entrepreneurs, dampening innovation and entrenching inequality. On the market side, excessive depth encourages complex instruments that <italic>obscure</italic> underlying risk, raising exposure to tail events.</p>
      <p><italic>Policy for developed economies.</italic> Financial deepening should be balanced with real-sector needs and accompanied by guardrails. Useful tools include (i) targeted credit-allocation mechanisms that tilt a <italic>portion</italic> of private credit toward innovative, high-potential firms; (ii) state-backed credit-guarantee schemes to relax collateral constraints for start-ups; and (iii) borrower-based macroprudential limits and countercyclical buffers to restrain leverage cycles. Equity-market exuberance should not dominate sectoral growth; a balanced architecture that supports both bank-based and market-based intermediation fosters resilience.</p>
      <p><italic>Access and efficiency at high development levels.</italic> In line with our estimates, financial-institution access (<italic><abbrev xlink:title="Financial Institutions’ Access" id="ABBRID0E4QBG">FIA</abbrev></italic>) and efficiency (<italic>FIE</italic>) in developed economies display <italic>inverted U-shapes</italic>: broadening inclusion and lowering intermediation frictions are stabilizing at low-to-moderate <italic><abbrev xlink:title="Financial development" id="ABBRID0EGRBG">FD</abbrev></italic>, but can become destabilizing <italic>when very extensive</italic> (for example, if standards loosen or risk migrates to weaker borrower segments). Policy should therefore expand access <italic>with safeguards</italic> (e.g., proportional affordability tests, stress-tested digital onboarding) and pursue efficiency gains that do not erode underwriting quality. On the market side, widening participation (a larger free float beyond the top-ten firms) can diversify risk without encouraging excessive churn.</p>
      <p>In <italic>developing</italic> economies, <italic>EV</italic> declines at higher <italic><abbrev xlink:title="Financial development" id="ABBRID0EVRBG">FD</abbrev></italic>. Development in both financial institutions and markets contributes to this stabilizing effect, plausibly because credit is more often directed to productive investment and markets are less saturated with complex, high-risk instruments. Sequencing matters: deepen access and market infrastructure while building supervisory capacity, so that later-stage risks are contained. As shown by recent evidence, improving <italic>regulatory­ quality</italic> can moderate volatility in bank-centric environments (<xref ref-type="bibr" rid="B108">Ullah et al., 2024a</xref>). Central banks, supervisors, and market authorities should adopt macroprudential frameworks suited to local structures (countercyclical capital buffers, sectoral risk weights, foreign-currency borrowing limits).</p>
      <p><italic>Interpretation.</italic> The supply-leading hypothesis on its own does not capture the <italic>nonmonotonic</italic> pattern we observe. In developed economies, higher <italic><abbrev xlink:title="Financial development" id="ABBRID0EGSBG">FD</abbrev></italic> is associated with greater <italic>EV</italic> at advanced stages — reflecting risk-taking, complex instruments, and expansive credit cycles. In developing economies, sustained deepening tends to stabilize <italic>EV</italic>, consistent with finance supporting productive investment and diversification.</p>
      <p><italic>Limitations and future research.</italic> We focus on <italic><abbrev xlink:title="Financial development" id="ABBRID0ETSBG">FD</abbrev></italic> as a determinant of <italic>EV</italic>. Other forces — especially <italic>financial innovation</italic> (e.g., securitization, derivatives, digital credit) — may materially shape volatility. Future work should integrate direct measures of innovation intensity, interact them with institutional quality and macroprudential regimes, and quantify threshold (turning-point) levels at which benefits give way to risks.</p>
    </sec>
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