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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">85</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:60EFF674-5CBD-58AF-A00E-08B90DD582C9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Population and Economics</journal-title>
        <abbrev-journal-title xml:lang="en">POPECON</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="epub">2658-3798</issn>
      <publisher>
        <publisher-name>Population and Economics</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/popecon.10.e155357</article-id>
      <article-id pub-id-type="publisher-id">155357</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(J24) Human Capital • Skills • Occupational Choice • Labor Productivity</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Does Working Age Population Matter for the Impact of Foreign Direct Investment and Credit on Productivity Growth? A Cross-Country Empirical Evidence from ASEAN</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Arintoko</surname>
            <given-names/>
          </name>
          <email xlink:type="simple">arintoko@unsoed.ac.id</email>
          <uri content-type="orcid">https://orcid.org/0000-0002-7246-546X</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Sambodo</surname>
            <given-names>Herman</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-6129-7528</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Priyono</surname>
            <given-names>Rakhmat</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Universitas Jenderal Soedirman, Purwokerto, 53122, Indonesia</addr-line>
        <institution>Universitas Jenderal Soedirman</institution>
        <addr-line content-type="city">Purwokerto</addr-line>
        <country>Indonesia</country>
        <uri content-type="ror">https://ror.org/02fckb719</uri>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author:  Arintoko (<email xlink:type="simple">arintoko@unsoed.ac.id</email>).</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: </p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>07</day>
        <month>05</month>
        <year>2026</year>
      </pub-date>
      <volume>10</volume>
      <issue>2</issue>
      <fpage>230</fpage>
      <lpage>248</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/84A364A7-731C-5DEF-9380-E0DC9EE81A30">84A364A7-731C-5DEF-9380-E0DC9EE81A30</uri>
      <history>
        <date date-type="received">
          <day>09</day>
          <month>04</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>30</day>
          <month>12</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Arintoko, Herman Sambodo, Rakhmat Priyono</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/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 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>Demographic factors remain crucial issues in economic development. The size and age composition of the population greatly affect a country’s economic growth. This study aims to investigate the effect of the age dependency ratio on labor productivity through the moderating role of foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>) and private sector credit. The study applies the Arellano–Bond Generalized Method of Moments (<abbrev xlink:title="Generalized Method of Moments">GMM</abbrev>) using a sample of five selected ASEAN countries over the period 2000–2023. The results reveal that the age dependency ratio weakens the positive effect of foreign direct investment on productivity. Moreover, the age dependency ratio plays a more significant role as a moderating variable than as an independent variable in influencing productivity in ASEAN countries. Policies aimed at increasing productivity among the working-age population (15–64 years) should be a main priority in addressing employment challenges, particularly through improving the quality of education and training and expanding employment opportunities via investment driven by <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit. In addition, birth control efforts through family planning programs and the prevention of early marriage should receive greater attention from governments.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>age dependency ratio</kwd>
        <kwd>foreign direct investment</kwd>
        <kwd>labor productivity</kwd>
        <kwd>Arellano-Bond GMM model</kwd>
        <kwd>private sector credit</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL codes</meta-name>
          <meta-value>C33, J11, J24, O47</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec1">
      <title>Introduction</title>
      <p>Issues related to the relationship between population and economic growth remain widely debated. Population can be viewed either as a driver or as a constraint on economic growth. In high-income countries, low population growth is considered a challenge for sustaining economic growth (<xref ref-type="bibr" rid="B38">Peterson 2017</xref>). Conversely, in low-income countries, high population growth can hinder economic growth. <xref ref-type="bibr" rid="B13">Brida et al. (2024)</xref> reveal that there are distinct differences in the relationship between population growth and economic growth across mature, transition, and young economies. Mature economies, mostly OECD countries, are characterized by low population growth and high economic growth. In contrast, young economies, such as those in Central Africa, are characterized by high population growth but low economic growth. Meanwhile, transition economies experience initially high population growth during the early stages of development, followed by declining population growth while maintaining above-average economic performance.</p>
      <p>Empirical findings on the relationship between population and economic growth have not resolved the longstanding controversy between the two. There is no theoretical consensus on the scope and channels through which population and economic growth influence each other (<xref ref-type="bibr" rid="B14">Cayssials et al. 2024</xref>). However, addressing this controversy requires a more nuanced understanding that population issues should not be viewed solely in aggregate terms. Population dynamics can be further examined through age structure. The age structure of the population reflects the composition of working-age and non-working-age groups, including both young and elderly dependents. <xref ref-type="bibr" rid="B49">Wang and Lee (2019)</xref> show that age structure has a nonlinear effect on economic growth. Age structure is commonly represented by the age dependency ratio, which consists of child and old-age dependency ratios. The child dependency ratio exhibits a U-shaped effect, while the old-age dependency ratio shows an inverted U-shaped effect on economic growth. Meanwhile, <xref ref-type="bibr" rid="B11">Bidisha et al. (2020)</xref> provide empirical evidence that age structure, as measured by the age dependency ratio, has a long-run effect on economic growth measured by GDP per capita. Specifically, the age dependency ratio has a significant negative impact on GDP per capita growth. Therefore, an increase in the working-age population relative to the non-working-age population, reflected in a decline in the age dependency ratio, is associated with higher GDP per capita growth.</p>
      <p>The issue of economic growth related to the population’s age structure has been widely studied. However, studies examining economic growth in relation to population age structure generally measure growth in terms of GDP growth or GDP per capita. There are still relatively limited studies that interpret economic growth in terms of productivity growth. GDP growth primarily reflects the expansion of aggregate national income, while GDP per capita growth captures changes in average income from the perspective of income recipients, namely the population. In contrast, output growth inherent in the concept of aggregate labor productivity is more appropriate when associated with the population’s age structure. Moreover, labor productivity, as a proxy for technological progress, has a dominant positive impact on economic growth, as shown in a cross-regional study by <xref ref-type="bibr" rid="B9">Badriah and Arintoko (2024)</xref>.</p>
      <p>The relationship between population age structure and productivity growth has generally been examined with an emphasis on the importance of the working-age population for productivity. Population age structure is commonly represented by the age dependency ratio. A higher age dependency ratio implies a lower proportion of the productive-age population relative to the non-working population, which includes both young and elderly groups. <xref ref-type="bibr" rid="B21">Fu et al. (2020)</xref> provide empirical evidence that changes in age structure, reflected in increasing total dependency and child dependency ratios, have a negative impact on labor productivity across provinces in China. Differences in population dividends and levels of urbanization contribute to heterogeneous development patterns across provinces.</p>
      <p>ASEAN is one of the most interesting regional areas for examining the relationship between population factors and productivity growth. The ASEAN region contributes the third-largest share of the global population, after India and China. However, there are substantial variations in population characteristics across member countries. <xref ref-type="bibr" rid="B45">Trong et al. (2024)</xref> emphasize that demographic variables play an important role in driving per capita output growth.</p>
      <p>Labor productivity is closely associated with a country’s competitiveness in supporting economic development (<xref ref-type="bibr" rid="B10">Bangun 2017</xref>). Labor productivity in the five selected ASEAN countries, as illustrated in Figure <xref ref-type="fig" rid="F1">1</xref>, shows an overall upward trend across all countries. Nevertheless, significant differences and variations in productivity levels persist among them. The five selected countries are emerging economies characterized by relatively advanced economic structures and high levels of investment aimed at achieving rapid growth. These countries also represent the five most populous ASEAN members, excluding Myanmar. Considerable variation in labor productivity is observed, with Malaysia exhibiting the highest productivity level and Vietnam the lowest.</p>
      <fig id="F1">
        <object-id content-type="arpha">5048C378-595E-5277-B213-EB01D3C29A4B</object-id>
        <label>Figure 1.</label>
        <caption>
          <p>Output per worker in five selected ASEAN countries, 2000–2023. <italic>Source</italic>: World Bank</p>
        </caption>
        <graphic xlink:href="populationandeconomics-10-e155357-g001.jpg" id="oo_1626755.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1626755</uri>
        </graphic>
      </fig>
      <p>Along with increasing labor productivity, the age dependency burden tends to decline, as shown in Figure <xref ref-type="fig" rid="F2">2</xref>. Variations in the age dependency burden reflect differences in population age structures among the five countries. The Philippines exhibits the highest dependency burden, while Thailand has the lowest. Accordingly, the share of the working-age (productive-age) population in the Philippines is relatively smaller compared to that in Thailand.</p>
      <fig id="F2">
        <object-id content-type="arpha">1FA5B7C3-0D64-5759-9E52-B37234BD014F</object-id>
        <label>Figure 2.</label>
        <caption>
          <p>Age dependency ratio in selected ASEAN countries, 2000–2023. <italic>Source</italic>: World Bank</p>
        </caption>
        <graphic xlink:href="populationandeconomics-10-e155357-g002.jpg" id="oo_1626756.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1626756</uri>
        </graphic>
      </fig>
      <p>A key question arises: does the age structure of the population affect labor productivity? More specifically, does the burden of age dependency dampen productivity when foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>) and private sector credit increase? <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit are key factors that can stimulate employment and enhance productivity in growth-oriented economies. Accordingly, this study examines whether the age dependency burden moderates the effects of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit on productivity when both variables exert a positive influence on productivity.</p>
      <p>Empirical evidence from several previous studies (including <xref ref-type="bibr" rid="B44">Tőkés 2019</xref>; <xref ref-type="bibr" rid="B7">Asada 2020</xref>; <xref ref-type="bibr" rid="B50">Yunus and Abdullah 2022</xref>) shows that <abbrev xlink:title="foreign direct investment">FDI</abbrev> has a positive impact on productivity. Meanwhile, other studies (including <xref ref-type="bibr" rid="B33">Manaresi and Pierri 2024</xref>; <xref ref-type="bibr" rid="B39">Pham and Phan 2024</xref>) provide evidence that credit also positively affects productivity. Banks remain the primary source of credit for the private sector, as they continue to rely heavily on interest income and maintain high loan-to-deposit ratios (<xref ref-type="bibr" rid="B6">Arintoko et al. 2024</xref>). Alongside increases in <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit, ASEAN countries have also experienced rising government debt and persistent budget deficits. Similarly, financial development in the region has been accompanied by growth in broad money.</p>
      <p>According to the production function developed by Solow, output per worker is a function of capital per worker (<xref ref-type="bibr" rid="B34">Mankiw 2016</xref>). In Solow’s growth theory, labor alone cannot drive growth in output per worker; rather, it must interact with capital. Capital accumulation occurs through investment, which may originate from foreign direct investment and private sector credit. Previous studies on the determinants of labor productivity typically treat the working-age population as an independent factor influencing productivity. Accordingly, the age dependency ratio is often included as an independent variable affecting productivity, as shown in studies by <xref ref-type="bibr" rid="B26">Huang et al. (2019)</xref> and <xref ref-type="bibr" rid="B21">Fu et al. (2020)</xref>.</p>
      <p>If the effect of the age dependency ratio is not purely independent, it may operate through interactions with <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit in influencing productivity. This study is therefore motivated to develop a model of productivity determinants that incorporates moderating effects. The age dependency ratio is specified as a moderating variable, given its close association with employment dynamics arising from investment driven by <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit. An increase in the age dependency ratio implies a decline in the share of the working-age population, which may constrain labor productivity even in the presence of rising <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit, alongside increasing government debt and broad money.</p>
      <p>The moderating role of the age dependency ratio is examined using the Arellano–Bond <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> framework, with labor productivity as the dependent variable. The explanatory variables include foreign direct investment, private sector credit, government debt, and broad money. In this specification, the age dependency ratio moderates the effects of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit on aggregate labor productivity.</p>
    </sec>
    <sec sec-type="Literature review" id="sec2">
      <title>Literature review</title>
      <p>Economic growth cannot be separated from a country’s population structure and population growth. Population structure refers to the composition of the working-age population in terms of age and skills, which has a significant impact on labor productivity. Consequently, changes in population structure affect not only employment levels but also productivity across different population groups. The working-age population typically includes individuals aged 15 to 64 years. This age group constitutes the labor force, which consists of individuals who are either employed or actively seeking employment. The composition of the working-age population, including its age distribution and skill levels, influences aggregate employment, labor productivity, and overall economic growth.</p>
      <p><xref ref-type="bibr" rid="B26">Huang et al. (2019)</xref> provide empirical evidence that workforce aging has a complex relationship with economic growth. While the old-age dependency ratio has a negative effect on economic growth, human capital plays a crucial role in total factor productivity (<abbrev xlink:title="total factor productivity">TFP</abbrev>). Thus, both labor force characteristics and population age structure significantly affect productivity through <abbrev xlink:title="total factor productivity">TFP</abbrev>. In contrast, empirical findings by <xref ref-type="bibr" rid="B25">Hernæs et al. (2023)</xref> offer different evidence, showing that an increase in the proportion of workers aged 63–67 has a small positive effect on labor productivity in the short run.</p>
      <p>The study by <xref ref-type="bibr" rid="B32">Maestas et al. (2023)</xref> finds that population aging, reflected in an increasing share of the population aged 60 and above, leads to a decline in GDP per capita growth. This decline arises partly from slower employment growth and more substantially from reduced labor productivity growth. Similarly, <xref ref-type="bibr" rid="B45">Trong et al. (2024)</xref> show that old-age dependency reduces GDP per capita growth in ASEAN countries. Meanwhile, productive young workers remain a key resource for economic development and GDP per capita growth. Overall, demographic variables play a significant role in driving GDP per capita growth.</p>
      <p><xref ref-type="bibr" rid="B15">Choudhary et al. (2016)</xref> provide empirical evidence that the population’s age composition affects labor productivity growth. A higher age dependency ratio is associated with lower labor productivity. Moreover, age dependency can modify the impact of other factors on productivity. Both child and old-age dependency ratios exert negative effects on labor productivity, although with differing magnitudes.</p>
      <p>Population aging shapes age composition and age dependency ratios through an increasing share of elderly individuals relative to the child population. <xref ref-type="bibr" rid="B3">Alarussi and Yen (2023)</xref> show that population aging has a negative impact on labor productivity. Within the age dependency ratio framework, the proportions of child and old-age dependents jointly determine the total dependency ratio. An increase in the total age dependency ratio implies a reduction in the share of the working-age population. In addition to high fertility episodes, population aging contributes to rising age dependency. As population aging reduces the working-age population while simultaneously increasing the elderly population, economic growth may decline (<xref ref-type="bibr" rid="B30">Lee and Shin 2019</xref>), partly through reduced productivity. Overall, empirical evidence consistently indicates that the age dependency ratio negatively affects productivity. For example, <xref ref-type="bibr" rid="B37">Park and Shin (2023)</xref> find that both old-age and young-age dependency ratios have adverse effects on labor productivity.</p>
      <p>The age dependency ratio is closely related to foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>) in influencing productivity, as this variable directly affects employment. <xref ref-type="bibr" rid="B35">Nguyen et al. (2024)</xref> show that increasing <abbrev xlink:title="foreign direct investment">FDI</abbrev> has a positive impact on employment creation. Through <abbrev xlink:title="foreign direct investment">FDI</abbrev>, foreign firms tend to have greater capacity to generate employment than domestic firms, creating spillover effects from foreign to domestic enterprises (<xref ref-type="bibr" rid="B18">Dao et al. 2023</xref>). <xref ref-type="bibr" rid="B43">Saucedo et al. (2020)</xref> further find that rising <abbrev xlink:title="foreign direct investment">FDI</abbrev> inflows positively affect both low- and high-skilled employment in the manufacturing sector.</p>
      <p>With respect to productivity, <xref ref-type="bibr" rid="B16">Dandi et al. (2024)</xref> report that <abbrev xlink:title="foreign direct investment">FDI</abbrev> positively affects labor productivity in ASEAN countries. Similarly, <xref ref-type="bibr" rid="B44">Tőkés (2019)</xref> demonstrates that, at the industry level, <abbrev xlink:title="foreign direct investment">FDI</abbrev> has a positive impact on labor productivity. Using micro-level data, <xref ref-type="bibr" rid="B28">Karentina (2019)</xref> finds that <abbrev xlink:title="foreign direct investment">FDI</abbrev> enhances labor productivity in the long run. According to <xref ref-type="bibr" rid="B48">Vinh (2019)</xref>, this positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on labor productivity primarily arises from technology transfer.</p>
      <p>In this study, the age dependency ratio, which is closely associated with <abbrev xlink:title="foreign direct investment">FDI</abbrev> through its effect on employment, is treated as a moderating variable in the relationship between <abbrev xlink:title="foreign direct investment">FDI</abbrev> and productivity. Consistent with the Solow growth model, population factors are assumed to interact with capital in determining output per worker. Capital accumulation occurs through investment, one of the main sources of which is <abbrev xlink:title="foreign direct investment">FDI</abbrev> inflows. Through this interaction, an increase in the age dependency ratio is expected to weaken the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on productivity growth.</p>
      <p>In addition to <abbrev xlink:title="foreign direct investment">FDI</abbrev>, the interaction between the age dependency ratio and private sector credit also influences productivity growth. Regarding employment creation, an increase in bank credit directly affects employment (<xref ref-type="bibr" rid="B22">Ginting and Widyawati 2022</xref>). <xref ref-type="bibr" rid="B1">Acosta and Cortés (2022)</xref> and <xref ref-type="bibr" rid="B23">Gutierrez et al. (2023)</xref> show that positive credit shocks significantly enhance employment creation. Bank credit can stimulate private sector investment, thereby increasing employment opportunities for the working-age population. The age dependency ratio, when acting as a moderator of private sector credit, is expected to reduce the positive effect of credit on productivity.</p>
      <p>Beyond the moderating role of the age dependency ratio on <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit, other factors influencing labor productivity growth include government debt and financial sector development, proxied by the money supply. These control variables can affect labor productivity growth when the age dependency ratio moderates the impact of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit. According to <xref ref-type="bibr" rid="B4">Afonso and Jalles (2013)</xref>, the government debt ratio can support the growth of total factor productivity, including labor productivity. Higher government debt allows for increased public investment, which can expand employment and enhance labor productivity. Similarly, <xref ref-type="bibr" rid="B24">Haris and Mohammad (2015)</xref> find that government debt can lead to more effectively allocated government investment, contributing to productivity growth in both the manufacturing and service sectors.</p>
      <p>Money supply is positively associated with labor productivity growth. A tight monetary policy stance, which reduces the money supply, can suppress both productivity and employment (<xref ref-type="bibr" rid="B20">Fornaro and Wolf 2023</xref>). Such tightening negatively affects investment and productivity growth. Conversely, a loose monetary policy that expands the money supply can stimulate investment and enhance productivity. <xref ref-type="bibr" rid="B27">Jolaiya (2024)</xref> further emphasizes that increases in money supply and private sector credit positively affect domestic investment. Higher domestic investment, in turn, provides opportunities to boost productivity. Similarly, <xref ref-type="bibr" rid="B17">Dang et al. (2020)</xref> note that monetary policy can encourage private investment by increasing the money supply. Empirical evidence also indicates that, in addition to public investment, private investment strongly and positively impacts output growth (<xref ref-type="bibr" rid="B46">Turan et al. 2021</xref>). Therefore, money supply positively affects private investment and has the potential to enhance labor productivity.</p>
      <p>Based on the previous literature, the following hypotheses are proposed:</p>
      <p>H1a: <abbrev xlink:title="foreign direct investment">FDI</abbrev> has a positive effect on labor productivity</p>
      <p>H1b: The age dependency ratio moderates the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on labor productivity.</p>
      <p>H2a: Credit has a positive effect on labor productivity</p>
      <p>H2b: The age dependency ratio moderates the positive effect of credit on labor productivity.</p>
      <p>H3: Government debt has a positive effect on labor productivity</p>
      <p>H4: Broad money has a positive effect on labor productivity</p>
    </sec>
    <sec sec-type="methods" id="sec3">
      <title>Methods</title>
      <sec sec-type="Data and Variables" id="sec4">
        <title>Data and Variables</title>
        <p>In line with the objectives of this study, the model includes the following variables: GDP per worker, foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>), private sector credit, government debt, broad money, and the age dependency ratio. GDP per worker is treated as the dependent variable, while <abbrev xlink:title="foreign direct investment">FDI</abbrev>, private sector credit, government debt, and broad money are considered explanatory variables. The age dependency ratio is specified as a moderating variable for <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit.</p>
        <p>The inclusion of the age dependency ratio as a moderating variable allows for the analysis of how demographic factors influence labor productivity growth through their interaction with <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit, which are the primary sources of investment that increase the capital stock and, in turn, drive employment and output growth. The definitions and measurements of each variable are summarized in Table <xref ref-type="table" rid="T1">1</xref>.</p>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Table 1.</label>
          <caption>
            <p>Definitions and measurement of variables</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Abbreviation</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Definition</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Measurement</bold>
                </th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">GDP per Worker</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="GDP per worker is the ratio of real gross domestic product to the number of people employed, and it measures productivity">GDPPW</abbrev>
                </td>
                <td rowspan="1" colspan="1">GDP per worker is the ratio of real gross domestic product to the number of people employed, and it measures productivity.</td>
                <td rowspan="1" colspan="1">The GDP used as the numerator is real GDP converted to international dollars on a constant basis in 2021. This GDP uses purchasing power parity (<abbrev xlink:title="purchasing power parity">PPP</abbrev>) exchange rates. In the model, <abbrev xlink:title="GDP per worker is the ratio of real gross domestic product to the number of people employed, and it measures productivity">GDPPW</abbrev> is expressed in natural logarithms to smooth out relatively large variations in GDP.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Foreign Direct Investment</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="foreign direct investment">FDI</abbrev>
                </td>
                <td rowspan="1" colspan="1">Foreign direct investment referred to in this study is the net investment inflow into the economy. The net investment calculated includes the amount of equity capital, reinvestment, other long-term capital, and short-term capital. Net investment inflows are shown in the balance of payments.</td>
                <td rowspan="1" colspan="1"><abbrev xlink:title="foreign direct investment">FDI</abbrev> is measured in current US dollars and expressed as a percentage of GDP.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Credit</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="The credit referred to in this study is domestic credit by banks provided to the private sector">CRE</abbrev>
                </td>
                <td rowspan="1" colspan="1">The credit referred to in this study is domestic credit by banks provided to the private sector.</td>
                <td rowspan="1" colspan="1">Bank credit is measured in current US dollars and expressed as a percentage of GDP.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Government Debt</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Government debt">GDEBT</abbrev>
                </td>
                <td rowspan="1" colspan="1">The central government debt referred to in this study includes domestic and foreign liabilities. Included in domestic and foreign liabilities are currency and money deposits, securities other than stocks, and loans. Central government debt is calculated with the amount of equity and financial derivatives owned by the government as a deduction.</td>
                <td rowspan="1" colspan="1">Central government debt is measured at the end of the fiscal year and expressed as a percentage of GDP.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Broad Money</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="broad money">BM</abbrev>
                </td>
                <td rowspan="1" colspan="1">Broad money supply is measured as the sum of currency outside banks plus demand deposits other than those held by the central government, plus time, savings, and foreign currency deposits held by the resident sector other than the central government, plus bank checks and travelers’ checks, and plus other securities such as certificates of deposit and commercial paper.</td>
                <td rowspan="1" colspan="1">Broad money supply is expressed as a percentage of GDP.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Age Dependency Ratio</td>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Age Dependency Ratio">ADR</abbrev>
                </td>
                <td rowspan="1" colspan="1">The age dependency ratio is the ratio of dependents, namely people aged under 15 or over 64, to the working age population, namely those aged 15-64 years.</td>
                <td rowspan="1" colspan="1">The data measured is the proportion of dependents per 100 working age population.</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: All variables are expressed in natural logarithms in the model, except <abbrev xlink:title="foreign direct investment">FDI</abbrev>. <italic>Source</italic>: World Development Indicators, World Bank</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>All the data are sourced from the World Development Indicators, World Bank, accessed online. The study covers the period 2000–2023, and the analysis uses annual data. The countries included in the study are Indonesia, Malaysia, the Philippines, Thailand, and Vietnam. These five selected countries are emerging ASEAN economies and were chosen because they are the five most populous ASEAN members, excluding Myanmar.</p>
      </sec>
      <sec sec-type="Model" id="sec5">
        <title>Model</title>
        <p>The Arellano–Bond Generalized Method of Moments (<abbrev xlink:title="Generalized Method of Moments">GMM</abbrev>) is an econometric technique for estimating dynamic panel data models, particularly those that include lags of the dependent variable as predictors, as proposed by <xref ref-type="bibr" rid="B5">Arellano and Bond (1991)</xref>. This method produces unbiased, consistent, and efficient estimates in dynamic panel data settings by using appropriate instruments to address serial autocorrelation and potential correlation between endogenous variables and the error term. It is specifically designed to handle endogeneity issues arising from the inclusion of lagged dependent variables as regressors.</p>
        <p>In this study, the application of the Arellano–Bond <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> follows the general model specification used by <xref ref-type="bibr" rid="B19">Fan and Peng (2024)</xref>, with adjustments to incorporate moderating variables. Several previous studies have applied the <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> method with moderating variables, including <xref ref-type="bibr" rid="B42">Santosa et al. (2023)</xref>, <xref ref-type="bibr" rid="B47">Ullah et al. (2024)</xref>, <xref ref-type="bibr" rid="B12">Bogdan et al. (2025)</xref>, and <xref ref-type="bibr" rid="B2">Agustin et al. (2025)</xref>.</p>
        <p>The core models of the Arellano–Bond <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> in this study are presented in Equations (1)–(3). Equation (1) represents the baseline model without moderating variables. Equation (2) extends the baseline by including the age dependency ratio as an independent variable. Equation (3) is the full model, in which the age dependency ratio moderates the effects of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit on labor productivity.</p>
        <p><italic>LGDPPW<sub>i,t</sub></italic> = α<sub>0</sub> + φ<italic>LGDPPW<sub>i,t</sub></italic><sub>-1</sub> + α<sub>1</sub><italic><abbrev xlink:title="foreign direct investment">FDI</abbrev><sub>i,t</sub></italic> + α<sub>2</sub><italic>LCRE<sub>i,t</sub></italic> + α<sub>3</sub><italic>LGDEBT<sub>i,t</sub></italic> + α<sub>4</sub><italic>LBM<sub>i,t</sub></italic> + <italic>u</italic><sub>1<italic>i,t</italic></sub>. (1)</p>
        <p>The estimated parameters of equation (1) are as follows:</p>
        <p>φ &gt; 0, α<sub>1</sub> &gt; 0, α<sub>2</sub> &gt; 0, α<sub>3</sub> &gt; 0, α<sub>4</sub> &gt; 0,</p>
        <p><italic>LGDPPW<sub>i,t</sub></italic> = β<sub>0</sub> + ω<italic>LGDPPW<sub>i,t</sub></italic><sub>-1</sub> + β<sub>1</sub><italic><abbrev xlink:title="foreign direct investment">FDI</abbrev><sub>i,t</sub></italic> + β<sub>2</sub><italic>LCRE<sub>i,t</sub></italic> + β<sub>3</sub><italic>LGDEBT<sub>i,t</sub></italic> + β<sub>4</sub><italic>LBM<sub>i,t</sub></italic> + β<sub>5</sub><italic>LADR<sub>i,t</sub></italic> + <italic>u</italic><sub>2<italic>i,t</italic></sub>. (2)</p>
        <p>The estimated parameters of equation (2) are as follows:</p>
        <p>ω &gt; 0, β<sub>1</sub> &gt; 0, β<sub>2</sub> &gt; 0, β<sub>3</sub> &gt; 0, β<sub>4</sub> &gt; 0, β<sub>5</sub> &lt; 0,</p>
        <p><italic>LGDPPW<sub>i,t</sub></italic> = γ<sub>0</sub> + ϕ<italic>LGDPPW<sub>i,t</sub></italic><sub>-1</sub> + γ<sub>1</sub>(<italic><abbrev xlink:title="foreign direct investment">FDI</abbrev></italic> * <italic>LADR</italic>)<sub><italic>i,t</italic></sub> + γ<sub>2</sub>(<italic>LCRE</italic> * <italic>LADR</italic>)<italic><sub>i,t</sub></italic> + γ<sub>3</sub><italic>LGDEBT<sub>i,t</sub></italic> + γ<sub>4</sub><italic>LBMi,t</italic> + <italic>u</italic><sub>3<italic>i,t</italic></sub>. (3)</p>
        <p>The estimated parameters of equation (3) are as follows:</p>
        <p>ϕ &gt; 0, α<sub>1</sub> &gt; 0, γ<sub>1</sub> &gt; 0, α<sub>2</sub> &gt; γ<sub>2</sub> &gt; 0, γ<sub>3</sub> &gt; 0, γ<sub>4</sub> &gt; 0.</p>
        <p>The estimated coefficients of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit, when moderated by the age dependency ratio, are lower than the corresponding coefficients in the baseline model.</p>
        <p>The validity of the Arellano–Bond <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> model is assessed using two main diagnostic tests (<xref ref-type="bibr" rid="B8">Ashley and Sun 2016</xref>; <xref ref-type="bibr" rid="B41">Rebić et al. 2022</xref>; <xref ref-type="bibr" rid="B31">Lee et al. 2022</xref>). The first is the J-statistic test, which evaluates the validity of the instruments used. In this test, the null hypothesis assumes that the instruments are valid. The second is the Arellano–Bond autocorrelation test, which checks for the absence of second-order autocorrelation in the first-differenced residuals. Here, the null hypothesis states that there is no AR(2) autocorrelation.</p>
        <p>In the difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> (Arellano–Bond <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev>) method, which uses instruments based on lagged differences, first-differencing the variables serves to eliminate time-invariant effects (<xref ref-type="bibr" rid="B36">Odei et al. 2025</xref>). Stationarity of the differenced series is essential in this method; therefore, testing for stationarity is necessary to determine whether the series are stationary at levels or after first differencing.</p>
        <p>Before testing the model’s validity, common unit root tests are conducted using the Levin, Lin, and Chu t-statistic, while individual unit root tests employ statistics such as Im, Pesaran, and Shin W-stat, ADF-Fisher χ<sup>2</sup>, and PP-Fisher χ<sup>2</sup>.</p>
      </sec>
      <sec sec-type="Results" id="sec6">
        <title>Results</title>
        <p>The descriptive characteristics of the variables used in this study are presented in Table <xref ref-type="table" rid="T2">2</xref>. Panel data from the five selected countries show the greatest variation in GDP per worker. This is reflected in the large difference between the maximum and minimum values, which corresponds to the highest standard deviation. The difference between the mean and median further indicates that the distribution of GDP per worker is skewed. Among the explanatory variables, private sector credit exhibits the largest variation, as reflected in its highest standard deviation, whereas <abbrev xlink:title="foreign direct investment">FDI</abbrev> shows the smallest variation and the lowest standard deviation. The age dependency ratio displays relatively modest variation compared to credit, government debt, and broad money.</p>
        <table-wrap id="T2" position="float" orientation="portrait">
          <label>Table 2.</label>
          <caption>
            <p>Summary statistics for panel data</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Mean</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Median</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Maximum</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Minimum</bold>
                </td>
                <td rowspan="1" colspan="1"><bold>Std. Dev</bold>.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="GDP per worker is the ratio of real gross domestic product to the number of people employed, and it measures productivity">GDPPW</abbrev>
                </td>
                <td rowspan="1" colspan="1">28235.33</td>
                <td rowspan="1" colspan="1">23067.47</td>
                <td rowspan="1" colspan="1">69044.74</td>
                <td rowspan="1" colspan="1">8758.623</td>
                <td rowspan="1" colspan="1">16046.54</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="foreign direct investment">FDI</abbrev>
                </td>
                <td rowspan="1" colspan="1">2.7171</td>
                <td rowspan="1" colspan="1">2.6308</td>
                <td rowspan="1" colspan="1">9.6630</td>
                <td rowspan="1" colspan="1">-2.7574</td>
                <td rowspan="1" colspan="1">1.7876</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="The credit referred to in this study is domestic credit by banks provided to the private sector">CRE</abbrev>
                </td>
                <td rowspan="1" colspan="1">83.150</td>
                <td rowspan="1" colspan="1">84.256</td>
                <td rowspan="1" colspan="1">203.5299</td>
                <td rowspan="1" colspan="1">18.1557</td>
                <td rowspan="1" colspan="1">50.3207</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Government debt">GDEBT</abbrev>
                </td>
                <td rowspan="1" colspan="1">45.7466</td>
                <td rowspan="1" colspan="1">43.900</td>
                <td rowspan="1" colspan="1">88.7000</td>
                <td rowspan="1" colspan="1">24.8000</td>
                <td rowspan="1" colspan="1">11.9129</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="broad money">BM</abbrev>
                </td>
                <td rowspan="1" colspan="1">91.4843</td>
                <td rowspan="1" colspan="1">97.0641</td>
                <td rowspan="1" colspan="1">148.6330</td>
                <td rowspan="1" colspan="1">36.0017</td>
                <td rowspan="1" colspan="1">36.8833</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Age Dependency Ratio">ADR</abbrev>
                </td>
                <td rowspan="1" colspan="1">50.3374</td>
                <td rowspan="1" colspan="1">48.6384</td>
                <td rowspan="1" colspan="1">70.8441</td>
                <td rowspan="1" colspan="1">38.8046</td>
                <td rowspan="1" colspan="1">8.3147</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Source: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>In panel data, variation is generally larger than in time-series data for a single country because it captures both within-country variation over time and between-country variation across the sample.</p>
        <p>To provide a more complete description of the data characteristics, Table <xref ref-type="table" rid="T3">3</xref> presents the correlations between GDP per worker and the following variables: <abbrev xlink:title="foreign direct investment">FDI</abbrev>, the interaction of <abbrev xlink:title="foreign direct investment">FDI</abbrev> with the age dependency ratio, private sector credit, the interaction of credit with the age dependency ratio, government debt, and broad money. Correlation measures the symmetrical relationship between two variables, without designating either as dependent or independent. Therefore, the correlation coefficient does not necessarily correspond to the regression coefficient in magnitude or sign.</p>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 3.</label>
          <caption>
            <p>Lagged and lead correlations</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="2">
                  <bold>Correlation</bold>
                </td>
                <td rowspan="2" colspan="1">
                  <bold>i</bold>
                </td>
                <td rowspan="2" colspan="1">
                  <bold>Lag</bold>
                </td>
                <td rowspan="2" colspan="1">
                  <bold>Lead</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>With Lag</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>With Lead</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,<abbrev xlink:title="foreign direct investment">FDI</abbrev>(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,<abbrev xlink:title="foreign direct investment">FDI</abbrev>(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">-0.0201</td>
                <td rowspan="1" colspan="1">-0.0201</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">0.0014</td>
                <td rowspan="1" colspan="1">-0.0632</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">-0.0024</td>
                <td rowspan="1" colspan="1">-0.0743</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,<abbrev xlink:title="foreign direct investment">FDI</abbrev>*LADR(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,<abbrev xlink:title="foreign direct investment">FDI</abbrev>*LADR(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">-0.0317</td>
                <td rowspan="1" colspan="1">-0.0317</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">-0.0097</td>
                <td rowspan="1" colspan="1">-0.0736</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">-0.0125</td>
                <td rowspan="1" colspan="1">-0.0830</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,LCRE(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,LCRE(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.5918</td>
                <td rowspan="1" colspan="1">0.5918</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">0.5647</td>
                <td rowspan="1" colspan="1">0.5489</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">0.5377</td>
                <td rowspan="1" colspan="1">0.5059</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,LCRE*LADR(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,LCRE*LADR(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.5941</td>
                <td rowspan="1" colspan="1">0.5941</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">0.5675</td>
                <td rowspan="1" colspan="1">0.5524</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">0.5421</td>
                <td rowspan="1" colspan="1">0.5102</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,LGDEBT(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,LGDEBT(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.2586</td>
                <td rowspan="1" colspan="1">0.2586</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">0.2239</td>
                <td rowspan="1" colspan="1">0.2680</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">0.1917</td>
                <td rowspan="1" colspan="1">0.2817</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,LBM(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,LBM(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.5878</td>
                <td rowspan="1" colspan="1">0.5878</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">0.5642</td>
                <td rowspan="1" colspan="1">0.5465</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">0.5406</td>
                <td rowspan="1" colspan="1">0.5059</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">LGDPPW,LADR(-i)</td>
                <td rowspan="3" colspan="1">LGDPPW,LADR(+i)</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">-0.3736</td>
                <td rowspan="1" colspan="1">-0.3736</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">-0.3555</td>
                <td rowspan="1" colspan="1">-0.3366</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">-0.3341</td>
                <td rowspan="1" colspan="1">-0.3023</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Source: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Correlations are reported with two lags and two leads to illustrate how relationships change over time. With lags and leads, the magnitude and sign of the correlation coefficient can vary. Strong correlations tend to maintain a consistent sign (positive or negative) across lags and leads, although the magnitude may increase or decrease.</p>
        <p>GDP per worker exhibits the strongest correlation with the interaction between credit and the age dependency ratio, with consistency across the lags and leads. The correlation between GDP per worker and credit remains positive, and the coefficient increases when credit is moderated by the age dependency ratio. In contrast, GDP per worker is negatively correlated with the age dependency ratio.</p>
        <p>The data stationarity test is an important step in applying the difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> method. Stationarity of the series at the first difference is a necessary condition for the difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> approach. If the series is not stationary, the instruments may be endogenous, potentially biasing the results. Table <xref ref-type="table" rid="T4">4</xref> presents the results of the unit root tests for all variables.</p>
        <table-wrap id="T4" position="float" orientation="portrait">
          <label>Table 4.</label>
          <caption>
            <p>Panel unit root test results</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="2" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Common Unit Root</bold>
                </td>
                <td rowspan="1" colspan="3">
                  <bold>Individual Unit Root</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Levin, Lin &amp; Chu t</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Im, Pesaran and Shin W-stat</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>ADF-Fisher</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>PP-Fisher</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDPPW</td>
                <td rowspan="1" colspan="1">-0.8625</td>
                <td rowspan="1" colspan="1">1.9050</td>
                <td rowspan="1" colspan="1">4.2570</td>
                <td rowspan="1" colspan="1">5.0326</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="foreign direct investment">FDI</abbrev>
                </td>
                <td rowspan="1" colspan="1">-3.6984***</td>
                <td rowspan="1" colspan="1">-3.8921***</td>
                <td rowspan="1" colspan="1">36.0183***</td>
                <td rowspan="1" colspan="1">56.3986***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><abbrev xlink:title="foreign direct investment">FDI</abbrev>*LADR</td>
                <td rowspan="1" colspan="1">-3.6678***</td>
                <td rowspan="1" colspan="1">-3.9358***</td>
                <td rowspan="1" colspan="1">36.1797***</td>
                <td rowspan="1" colspan="1">57.2733***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCRE</td>
                <td rowspan="1" colspan="1">-2.9708**</td>
                <td rowspan="1" colspan="1">-1.1854</td>
                <td rowspan="1" colspan="1">16.4980*</td>
                <td rowspan="1" colspan="1">7.6480</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCRE*LADR</td>
                <td rowspan="1" colspan="1">-2.3146**</td>
                <td rowspan="1" colspan="1">-0.8245</td>
                <td rowspan="1" colspan="1">17.0266</td>
                <td rowspan="1" colspan="1">9.4261</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDEBT</td>
                <td rowspan="1" colspan="1">-1.8360**</td>
                <td rowspan="1" colspan="1">-1.1188</td>
                <td rowspan="1" colspan="1">14.0530</td>
                <td rowspan="1" colspan="1">10.0016</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LBM</td>
                <td rowspan="1" colspan="1">-1.6768**</td>
                <td rowspan="1" colspan="1">-0.9283</td>
                <td rowspan="1" colspan="1">17.2533*</td>
                <td rowspan="1" colspan="1">17.2509*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆LGDPPW</td>
                <td rowspan="1" colspan="1">-7.4096***</td>
                <td rowspan="1" colspan="1">-6.5266***</td>
                <td rowspan="1" colspan="1">55.7565***</td>
                <td rowspan="1" colspan="1">57.3565***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆<abbrev xlink:title="foreign direct investment">FDI</abbrev></td>
                <td rowspan="1" colspan="1">-6.3758***</td>
                <td rowspan="1" colspan="1">-7.1231***</td>
                <td rowspan="1" colspan="1">63.3752***</td>
                <td rowspan="1" colspan="1">233.771***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆(<abbrev xlink:title="foreign direct investment">FDI</abbrev>*LADR)</td>
                <td rowspan="1" colspan="1">-6.9772***</td>
                <td rowspan="1" colspan="1">-7.6385***</td>
                <td rowspan="1" colspan="1">67.7047***</td>
                <td rowspan="1" colspan="1">233.809***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆LCRE</td>
                <td rowspan="1" colspan="1">-5.9005***</td>
                <td rowspan="1" colspan="1">-5.3547***</td>
                <td rowspan="1" colspan="1">46.3528***</td>
                <td rowspan="1" colspan="1">50.4251***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆(LCRE*LADR)</td>
                <td rowspan="1" colspan="1">-5.9441***</td>
                <td rowspan="1" colspan="1">-5.3489***</td>
                <td rowspan="1" colspan="1">46.1861***</td>
                <td rowspan="1" colspan="1">50.4081***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆LGDEBT</td>
                <td rowspan="1" colspan="1">-5.4687***</td>
                <td rowspan="1" colspan="1">-4.8572***</td>
                <td rowspan="1" colspan="1">41.0420***</td>
                <td rowspan="1" colspan="1">41.0678***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆LBM</td>
                <td rowspan="1" colspan="1">-9.1975***</td>
                <td rowspan="1" colspan="1">-7.9409***</td>
                <td rowspan="1" colspan="1">68.7891***</td>
                <td rowspan="1" colspan="1">80.5450***</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: *** significant at α = 0.01, ** significant at α = 0.05, * significant at α = 0.10. <italic>Source</italic>: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Based on both common and individual panel unit root tests, <abbrev xlink:title="foreign direct investment">FDI</abbrev> and its interaction with the age dependency ratio (<abbrev xlink:title="foreign direct investment">FDI</abbrev>*<abbrev xlink:title="Age Dependency Ratio">ADR</abbrev>) are stationary in levels (I(0)) at the 5 percent significance level. All other variables become stationary after first differencing (I(1)). Therefore, stationarity is achieved at the first difference for all variables, supporting the appropriateness of applying the difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> estimator in this study.</p>
        <p>The parameter estimation results for the baseline model are presented in Table <xref ref-type="table" rid="T5">5</xref>. Estimation of the baseline dynamic panel model using difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> indicates that <abbrev xlink:title="foreign direct investment">FDI</abbrev> has a significant positive effect on labor productivity, with a p-value of 1 percent. Government debt (<abbrev xlink:title="Government debt">GDEBT</abbrev>) also has a positive effect on productivity, whereas broad money (<abbrev xlink:title="broad money">BM</abbrev>) exhibits a negative effect. Private sector credit shows a positive but statistically insignificant effect in this model.</p>
        <table-wrap id="T5" position="float" orientation="portrait">
          <label>Table 5.</label>
          <caption>
            <p>Estimation results of the baseline model</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Statistic Value</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDPPW(-1)</td>
                <td rowspan="1" colspan="1">0.9462</td>
                <td rowspan="1" colspan="1">9.2700***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="foreign direct investment">FDI</abbrev>
                </td>
                <td rowspan="1" colspan="1">0.0098</td>
                <td rowspan="1" colspan="1">6.6767***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCRE</td>
                <td rowspan="1" colspan="1">0.1140</td>
                <td rowspan="1" colspan="1">1.0783</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDEBT</td>
                <td rowspan="1" colspan="1">0.1792</td>
                <td rowspan="1" colspan="1">4.4102***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LBM</td>
                <td rowspan="1" colspan="1">-0.2149</td>
                <td rowspan="1" colspan="1">-3.3168***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Validity of overidentifying restrictions test</td>
                <td rowspan="1" colspan="1">J-statistic = 5.9727</td>
                <td rowspan="1" colspan="1">p-value = 0.3089</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Arellano-Bond serial correlation test</td>
                <td rowspan="1" colspan="1">AR(1) = -27914</td>
                <td rowspan="1" colspan="1">p-value of AR(1) = 0.0052</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">AR(2) = 1.6210</td>
                <td rowspan="1" colspan="1">p-value of AR(2) = 0.1050</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Note: *** significant at α = 0.01. <italic>Source</italic>: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>The J-statistic is used to test the validity of overidentifying restrictions in the <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> model, which assesses the suitability of the instruments. A p-value above 0.05 (at the 5 percent significance level) indicates that the null hypothesis, which states that the instruments are valid, cannot be rejected. Therefore, the model is well-specified, and the instruments are likely valid and uncorrelated with the error term.</p>
        <p>For the AR(1) test, a significant result is expected if the errors of the original model are uncorrelated, indicating a well-specified model, as the first-differenced residuals should exhibit negative first-order serial correlation. For the AR(2) test, a non-significant result is desirable. The failure to reject the null hypothesis in the AR(2) test indicates that there is no second-order serial correlation.</p>
        <p>The results of the difference <abbrev xlink:title="Generalized Method of Moments">GMM</abbrev> estimation for Model 2, which includes the age dependency ratio as an explanatory variable, are presented in Table <xref ref-type="table" rid="T6">6</xref>. <abbrev xlink:title="foreign direct investment">FDI</abbrev> and government debt consistently show a significant positive effect on labor productivity, with p-values of 0.01. In contrast, broad money has a significant negative effect on productivity, with a p-value of 0.1. Private sector credit remains positive but statistically insignificant. The age dependency ratio, when included as an independent variable, does not have a significant effect on productivity. These findings suggest that the age dependency ratio does not independently influence labor productivity.</p>
        <table-wrap id="T6" position="float" orientation="portrait">
          <label>Table 6.</label>
          <caption>
            <p>Estimation results including the age dependency ratio as an independent variable</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Statistic Value</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDPPW(-1)</td>
                <td rowspan="1" colspan="1">1.1328</td>
                <td rowspan="1" colspan="1">17.9454***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="foreign direct investment">FDI</abbrev>
                </td>
                <td rowspan="1" colspan="1">0.0126</td>
                <td rowspan="1" colspan="1">7.4193***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCRE</td>
                <td rowspan="1" colspan="1">0.1551</td>
                <td rowspan="1" colspan="1">1.2011</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDEBT</td>
                <td rowspan="1" colspan="1">0.2572</td>
                <td rowspan="1" colspan="1">2.7182***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LBM</td>
                <td rowspan="1" colspan="1">-0.5672</td>
                <td rowspan="1" colspan="1">-1.8044*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LADR</td>
                <td rowspan="1" colspan="1">0.0701</td>
                <td rowspan="1" colspan="1">0.3159</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Validity of overidentifying restrictions test</td>
                <td rowspan="1" colspan="1">J-statistic = 2.9011</td>
                <td rowspan="1" colspan="1">p-value = 0.5745</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Arellano-Bond serial correlation test</td>
                <td rowspan="1" colspan="1">AR(1) = -1.9682</td>
                <td rowspan="1" colspan="1">p-value of AR(1) = 0.0490</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">AR(2) = 1.0594</td>
                <td rowspan="1" colspan="1">p-value of AR(2) = 0.2894</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: *** significant at α = 0.01, * significant at α = 0.10. <italic>Source</italic>: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>The validity of overidentifying restrictions, as indicated by an insignificant J-statistic, supports the null hypothesis that the instruments are valid. This result confirms that Model 2 is well specified. For the serial correlation tests using the Arellano–Bond procedure, the m-statistic for AR(1) is significant and negative, as expected, while the m-statistic for AR(2) is positive and insignificant. Since the AR(2) test does not reject the null hypothesis, there is no evidence of second-order autocorrelation.</p>
        <p>Model 3, the main model in this study, includes the age dependency ratio as a moderating variable for the effects of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit on labor productivity. The results, presented in Table <xref ref-type="table" rid="T7">7</xref>, show that the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on productivity remains significant. However, the reduction in the coefficient indicates that moderation by the age dependency ratio diminishes the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on productivity. Private sector credit continues to show a positive but statistically insignificant effect, suggesting that moderation by the age dependency ratio also reduces the estimated impact of credit on productivity.</p>
        <table-wrap id="T7" position="float" orientation="portrait">
          <label>Table 7.</label>
          <caption>
            <p>Estimation results with the age dependency ratio as a moderating variable</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Statistic Value</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDPPW(-1)</td>
                <td rowspan="1" colspan="1">1.1837</td>
                <td rowspan="1" colspan="1">35.0133***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><abbrev xlink:title="foreign direct investment">FDI</abbrev>*LADR</td>
                <td rowspan="1" colspan="1">0.0034</td>
                <td rowspan="1" colspan="1">7.5754***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCRE*LADR</td>
                <td rowspan="1" colspan="1">0.0462</td>
                <td rowspan="1" colspan="1">1.3424</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LGDEBT</td>
                <td rowspan="1" colspan="1">0.2861</td>
                <td rowspan="1" colspan="1">3.0570***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LBM</td>
                <td rowspan="1" colspan="1">-0.6400</td>
                <td rowspan="1" colspan="1">-1.7972*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Validity of overidentifying restrictions test</td>
                <td rowspan="1" colspan="1">J-statistic = 2.6133</td>
                <td rowspan="1" colspan="1">p-value = 0.4552</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Arellano-Bond serial correlation test</td>
                <td rowspan="1" colspan="1">AR(1) = -1.8616</td>
                <td rowspan="1" colspan="1">p-value AR(1) = 0.0627</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">AR(2) = 0.8972</td>
                <td rowspan="1" colspan="1">p-value AR(2) = 0.3696</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: *** significant at α = 0.01, * significant at α = 0.10. <italic>Source</italic>: Authors’ calculations</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Government debt maintains a significant positive effect on labor productivity, consistent with Models 1 and 2, with a p-value of 1 percent. In contrast, broad money exhibits weak evidence of a negative effect on productivity in Model 3.</p>
        <p>Evaluation of the Model 3 specification using the J-statistic and the Arellano–Bond m-statistic indicates that the instruments are valid and that there is no second-order serial correlation. This confirms the model’s validity and supports the finding that the age dependency ratio reduces the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on labor productivity. The age dependency ratio also moderates the effect of private sector credit, although this effect is not statistically significant.</p>
      </sec>
    </sec>
    <sec sec-type="Discussion" id="sec7">
      <title>Discussion</title>
      <p>The estimation results indicate that the positive effect of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on labor productivity growth diminishes as the age dependency ratio increases. The rise in investment due to <abbrev xlink:title="foreign direct investment">FDI</abbrev> inflows has a limited impact on labor productivity when the share of the working-age population (ages 15–64) declines relative to the non-working population (ages below 15 and above 64). These findings extend the empirical literature on the adverse effects of the age dependency burden on labor productivity, as noted by <xref ref-type="bibr" rid="B15">Choudhary et al. (2016)</xref> and <xref ref-type="bibr" rid="B37">Park and Shin (2023)</xref>. This study provides new insights by showing that the age dependency ratio affects labor productivity primarily through moderation, rather than a direct effect. Labor contributes to production largely through its interaction with capital growth rather than independently.</p>
      <p>A similar pattern is observed for private sector credit: its positive effect on productivity decreases as the age dependency ratio rises. In other words, a smaller share of the working-age population reduces the productivity-enhancing effect of private-sector credit. However, the empirical results in this study do not provide sufficient evidence to confirm a positive effect of credit on productivity. Excessive credit, as observed in Malaysia, Thailand, and Vietnam, where the credit-to-GDP ratio exceeded 100%, diminishes the positive impact of credit and renders it statistically insignificant. When the credit-to-GDP ratio surpasses a certain threshold, it can even negatively affect output growth (<xref ref-type="bibr" rid="B29">Lay 2020</xref>; <xref ref-type="bibr" rid="B40">Quoc and Duy 2025</xref>). Excessive credit growth may overheat the economy, triggering inflation that hinders sustainable growth. Misallocation of credit and inefficient financial intermediation may also explain why credit does not significantly enhance productivity. Credit directed more toward consumption than productive investment is unlikely to increase labor productivity.</p>
      <p>The adverse effect of the age dependency ratio on productivity, operating through its moderating effect, may be explained by several factors. A higher proportion of the non-productive population (children and the elderly) requires the working-age population to allocate a larger share of their income to meet the needs of dependents, rather than saving or investing. A high dependency ratio can reduce the effective size of the labor force relative to the total population. This situation may result in labor shortages and a lower capacity for overall economic output and innovation if not managed effectively. Additionally, resources allocated to improving education and health for the working-age population may become constrained, potentially limiting the development of a high-quality workforce essential for sustainable economic growth.</p>
      <p>This study also finds that government debt positively affects productivity. Government debt can finance productive investment, stimulate output, and enhance labor productivity. In contrast, broad money exerts a negative effect on productivity. A rising broad money-to-GDP ratio, particularly above 100 percent, can fuel inflation and hinder economic growth. High broad money-to-GDP ratios are observed in Malaysia and Thailand, while rapidly increasing ratios are seen in Vietnam and the Philippines.</p>
    </sec>
    <sec sec-type="Conclusion" id="sec8">
      <title>Conclusion</title>
      <p>This study investigates the effect of the age dependency ratio on labor productivity growth and examines its moderating role. The results show that the age dependency ratio significantly reduces the positive impact of <abbrev xlink:title="foreign direct investment">FDI</abbrev> on productivity. Overall, the moderating effect of demographic factors, specifically the age dependency ratio, diminishes the effects of both <abbrev xlink:title="foreign direct investment">FDI</abbrev> and private sector credit on labor productivity. The age dependency ratio exerts a stronger influence as a moderating variable than as an independent variable.</p>
      <p>These findings provide further insight into how population age composition, as reflected in the age dependency ratio, affects productivity beyond the direct effects of <abbrev xlink:title="foreign direct investment">FDI</abbrev> and credit. In ASEAN countries with large populations, demographic factors are critical in supporting economic growth. Increasing the productivity of the working-age population (ages 15–64) should be a top priority for addressing employment challenges. The government can enhance the quality and accessibility of education and training and increase employment by promoting investment. Policies aimed at boosting <abbrev xlink:title="foreign direct investment">FDI</abbrev> inflows and private sector credit can stimulate investment, thereby raising aggregate labor productivity.</p>
      <p>Furthermore, improving healthcare services, social security, and pension systems is essential for strengthening the productive-age population. In the long term, government policies on family planning and the prevention of early marriage should be given greater attention to manage population age structure and support sustainable economic growth.</p>
    </sec>
  </body>
  <back>
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    <sec sec-type="Information about the authors" id="sec9">
      <title>Information about the authors</title>
      <p>Arintoko, Doctor in economics, Professor, lecturer at Department of Economics and Development Studies, Faculty of Economics and Business, Universitas Jenderal Soedirman, Purwokerto, Indonesia. E-mail: <ext-link xlink:href="mailto:arintoko@unsoed.ac.id" ext-link-type="uri">arintoko@unsoed.ac.id</ext-link></p>
      <p>Herman Sambodo, Master of Agriculture, Associate Professor, lecturer at Department of Economics and Development Studies, Faculty of Economics and Business, Universitas Jenderal Soedirman, Purwokerto, Indonesia. E-mail: <ext-link xlink:href="mailto:herman.sambodo@unsoed.ac.id" ext-link-type="uri">herman.sambodo@unsoed.ac.id</ext-link></p>
      <p>Priyono Rakhmat, Master of Economics, Associate Professor, lecturer at Department of Economics and Development Studies, Faculty of Economics and Business, Universitas Jenderal Soedirman, Purwokerto, Indonesia. E-mail: <ext-link xlink:href="mailto:rakhmat.priyono@unsoed.ac.id" ext-link-type="uri">rakhmat.priyono@unsoed.ac.id</ext-link></p>
    </sec>
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