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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">115</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:32e1b97d-7003-598d-92e7-0ceb44416cc9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">BRICS Journal of Economics</journal-title>
        <abbrev-journal-title xml:lang="en">brics-econ</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2712-7702</issn>
      <issn pub-type="epub">2712-7508</issn>
      <publisher>
        <publisher-name>BRICS Journal of Economics</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/brics-econ.7.e154361</article-id>
      <article-id pub-id-type="publisher-id">154361</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(E) Macroeconomics and Monetary Economics</subject>
          <subject>(H) Public Economics</subject>
          <subject>(O) Economic Development</subject>
          <subject> Innovation</subject>
          <subject> Technological Change</subject>
          <subject> and Growth</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>BRIC Trade Agreement: A Catalyst for Economic growth in South Africa</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Zungu</surname>
            <given-names>Lindokuhle Talent</given-names>
          </name>
          <email xlink:type="simple">zungut@unizulu.ac.za</email>
          <uri content-type="orcid">https://orcid.org/0000-0002-4095-906X</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Univeristy of Zululand, Empangeni (South Africa)</addr-line>
        <institution>Univeristy of Zululand</institution>
        <addr-line content-type="city">Empangeni</addr-line>
        <country>South Africa</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Lindokuhle Talent Zungu (zungut@unizulu.ac.za)</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: Sheresheva M.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>16</day>
        <month>04</month>
        <year>2026</year>
      </pub-date>
      <volume>7</volume>
      <issue>1</issue>
      <fpage>177</fpage>
      <lpage>202</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/28C2389D-0A50-5248-887C-2EFF8F5C7D70">28C2389D-0A50-5248-887C-2EFF8F5C7D70</uri>
      <history>
        <date date-type="received">
          <day>30</day>
          <month>03</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>07</day>
          <month>08</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/share-your-work/public-domain/cc0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the CC0 Public Domain Dedication.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>This study aims to explore the impact of the BRIC trade agreement on economic growth in South Africa over the period from 2009Q1 to 2023Q4, taking into consideration the BRIC agreements on promotion of trade and investment, and enhancement of economic growth and sustainable development. The study uses South African time-series data to estimate a Bayesian Vector Autoregression (<abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev>) model with hierarchical priors as it can deal with many problems in the data without exhausting degrees of freedom. It also handles dense parameterization by giving model coefficients a structure and making them as informative as possible. The results suggest that trade agreements have a positive impact on South Africa’s economy. They indicate that economic growth can be positively influenced by a 1% unexpected increase in imports, exports, and foreign direct investment from the BRIC partner countries. These findings mean that trade deals with the BRIC nations and the promotion of investment can significantly contribute to South Africa’s economic development. It has also been shown that SA’s government spending enhances growth and sustainable development. The positive impact of the BRICS partners’ imports, exports, and <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> on South African growth highlights the need for trade and investment integration. Policymakers should reduce trade barriers, enhance infrastructure, and improve the business environment to attract more <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> from the BRIC member countries. Strengthening trade agreements within BRICS can expand market access, boost industrial competitiveness, and increase technological transfer. Long-term strategies should create stable, open economies fostering innovation, employment, and sustainable growth.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>BRIC Trade Agreement</kwd>
        <kwd>BVAR</kwd>
        <kwd>economic growth</kwd>
        <kwd>hierarchical priors</kwd>
        <kwd>South Africa.</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL</meta-name>
          <meta-value>E24, H13, O10</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
    <notes>
      <sec sec-type="Citation" id="sec1">
        <title>Citation</title>
        <p>Zungu, L. T. (2026). BRIC Trade Agreement: A Catalyst for Economic growth in South Africa. <italic>BRICS Journal of Economics, 7</italic>(1), 177–202. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.3897/brics-econ.7.e154361">https://doi.org/10.3897/brics-econ.7.e154361</ext-link></p>
      </sec>
    </notes>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec2">
      <title>Introduction</title>
      <p>South Africa (SA) is facing numerous critical issues, such as the high rate of unemployment, especially among young people, which cause economic instability. Income inequality has increased over the past few decades, despite attempts to reduce it. This has resulted in a significant wealth gap both within and between different racial and regional groups in the country and globally (<xref ref-type="bibr" rid="B51">United Nations, 2020</xref>). In addition, the country has experienced stagnation, marked by a slow recovery from periods of economic downturns and political instability. While its economy has grown since the end of apartheid, it has struggled to maintain steady and robust growth.</p>
      <p>SA became a member of BRIC in 2009. The primary goals of joining the association were to stimulate employment, foster economic expansion, and improve its competitive position in the global market. Participation in international trade through export-led growth strategies enhanced by the country’s BRICS membership and e-commerce was expected to help achieve these goals (<xref ref-type="bibr" rid="B32">Mazenda, 2016</xref>). The decision to join the BRIC grouping was supported by growth theories by Romer (1986) and Robert (1988); it was a strategic move that was to facilitate the country’s access to advanced technologies, improve production efficiency, attract foreign investment and boost international trade. However, the data show that even after joining the BRICS group, South Africa still faces difficulty achieving consistent and robust growth.</p>
      <p>The paper analyses the parameters of South African growth, inflation, and unemployment, and compares them with those of the BRIC countries in 1991-2005, before the establishment of BRICS, and then after the establishment of BRICS in 2006-2022. Between 2001 and 2005, the growth rate of South Africa averaged 4.42%, while that of Russia, India, and China was above 6%. The inflation rates varied: in Russia and Brazil they were high, whereas in the other countries they were low, ranging from 1% to 4%. On average, the unemployment rate in South Africa was between 22% and 23%, which was higher than in the other BRICS countries.</p>
      <table-wrap id="T1" position="float" orientation="portrait">
        <label>Table 1.</label>
        <caption>
          <p>Mean economic growth, inflation and unemployment of the BRICS member countries</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="3">
                <bold>South Africa</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>Brazil</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>China</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>India</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>Russian Federation</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2001–2005</td>
              <td rowspan="1" colspan="1">4,42</td>
              <td rowspan="1" colspan="1">4,45</td>
              <td rowspan="1" colspan="1">22,56</td>
              <td rowspan="1" colspan="1">3,42</td>
              <td rowspan="1" colspan="1">8,69</td>
              <td rowspan="1" colspan="1">10,62</td>
              <td rowspan="1" colspan="1">9,80</td>
              <td rowspan="1" colspan="1">1,34</td>
              <td rowspan="1" colspan="1">4,33</td>
              <td rowspan="1" colspan="1">6,47</td>
              <td rowspan="1" colspan="1">3,98</td>
              <td rowspan="1" colspan="1">7,65</td>
              <td rowspan="1" colspan="1">6,14</td>
              <td rowspan="1" colspan="1">14,90</td>
              <td rowspan="1" colspan="1">7,99</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">1996–2000</td>
              <td rowspan="1" colspan="1">2,48</td>
              <td rowspan="1" colspan="1">6,67</td>
              <td rowspan="1" colspan="1">22,64</td>
              <td rowspan="1" colspan="1">2,00</td>
              <td rowspan="1" colspan="1">7,56</td>
              <td rowspan="1" colspan="1">9,84</td>
              <td rowspan="1" colspan="1">8,63</td>
              <td rowspan="1" colspan="1">1,85</td>
              <td rowspan="1" colspan="1">3,22</td>
              <td rowspan="1" colspan="1">6,09</td>
              <td rowspan="1" colspan="1">7,61</td>
              <td rowspan="1" colspan="1">7,61</td>
              <td rowspan="1" colspan="1">1,75</td>
              <td rowspan="1" colspan="1">39,35</td>
              <td rowspan="1" colspan="1">11,67</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">1991–1995</td>
              <td rowspan="1" colspan="1">1,94</td>
              <td rowspan="1" colspan="1">11,31</td>
              <td rowspan="1" colspan="1">23,01</td>
              <td rowspan="1" colspan="1">3,33</td>
              <td rowspan="1" colspan="1">1090,80</td>
              <td rowspan="1" colspan="1">6,74</td>
              <td rowspan="1" colspan="1">12,27</td>
              <td rowspan="1" colspan="1">13,11</td>
              <td rowspan="1" colspan="1">2,67</td>
              <td rowspan="1" colspan="1">5,10</td>
              <td rowspan="1" colspan="1">10,49</td>
              <td rowspan="1" colspan="1">7,69</td>
              <td rowspan="1" colspan="1">–8,99</td>
              <td rowspan="1" colspan="1">275,88</td>
              <td rowspan="1" colspan="1">6,74</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: EG, Infl and UNE stand for economic growth, inflation and unemployment rate, respectively. The data span the period from 1991 to 2005, before the establishment of BRICS. <italic>Source</italic>: Author’s calculation based on <xref ref-type="bibr" rid="B52">World Bank data (2025)</xref></p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Between 1991 and 2005, growth rates in South Africa, Brazil, India, and Russia were determined by market reforms, liberalization, and globalization. China, which began reforms in the 1970s, had slower growth in the early 2000s, due to global economic slowdowns, inefficiencies, and challenges in balancing industrialization with sustainable development. After the BRICS trade agreement, South Africa’s economy again performed badly compared to BRIC. The data show that, since 2006, South Africa’s highest growth has been on average below 3%, with an unemployment rate of 29.35%. Inflation, however, was comparatively low, ranging from 5% to 6%. During the same period inflation in Russia was very high.</p>
      <p>Russia was seen to recor.</p>
      <table-wrap id="T2" position="float" orientation="portrait">
        <label>Table 2.</label>
        <caption>
          <p>Mean of economic growth, inflation and unemployment of the BRICS member countries</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="3">
                <bold>South Africa</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>Brazil</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>China</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>India</bold>
              </td>
              <td rowspan="1" colspan="3">
                <bold>Russian Federation</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>EG</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Infl</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>UNE</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2016–2022</td>
              <td rowspan="1" colspan="1">0,62</td>
              <td rowspan="1" colspan="1">5,04</td>
              <td rowspan="1" colspan="1">29,35</td>
              <td rowspan="1" colspan="1">1,68</td>
              <td rowspan="1" colspan="1">5,77</td>
              <td rowspan="1" colspan="1">12,10</td>
              <td rowspan="1" colspan="1">5,73</td>
              <td rowspan="1" colspan="1">1,99</td>
              <td rowspan="1" colspan="1">4,63</td>
              <td rowspan="1" colspan="1">5,18</td>
              <td rowspan="1" colspan="1">4,91</td>
              <td rowspan="1" colspan="1">6,92</td>
              <td rowspan="1" colspan="1">1,13</td>
              <td rowspan="1" colspan="1">4,02</td>
              <td rowspan="1" colspan="1">4,92</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2011–2015</td>
              <td rowspan="1" colspan="1">1,66</td>
              <td rowspan="1" colspan="1">5,44</td>
              <td rowspan="1" colspan="1">24,79</td>
              <td rowspan="1" colspan="1">–0,28</td>
              <td rowspan="1" colspan="1">6,72</td>
              <td rowspan="1" colspan="1">7,44</td>
              <td rowspan="1" colspan="1">7,93</td>
              <td rowspan="1" colspan="1">2,83</td>
              <td rowspan="1" colspan="1">4,60</td>
              <td rowspan="1" colspan="1">6,50</td>
              <td rowspan="1" colspan="1">8,00</td>
              <td rowspan="1" colspan="1">7,66</td>
              <td rowspan="1" colspan="1">1,77</td>
              <td rowspan="1" colspan="1">8,73</td>
              <td rowspan="1" colspan="1">5,68</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2006–2010</td>
              <td rowspan="1" colspan="1">2,64</td>
              <td rowspan="1" colspan="1">6,16</td>
              <td rowspan="1" colspan="1">23,04</td>
              <td rowspan="1" colspan="1">4,51</td>
              <td rowspan="1" colspan="1">4,69</td>
              <td rowspan="1" colspan="1">9,02</td>
              <td rowspan="1" colspan="1">11,33</td>
              <td rowspan="1" colspan="1">2,97</td>
              <td rowspan="1" colspan="1">4,52</td>
              <td rowspan="1" colspan="1">7,03</td>
              <td rowspan="1" colspan="1">8,68</td>
              <td rowspan="1" colspan="1">7,62</td>
              <td rowspan="1" colspan="1">3,72</td>
              <td rowspan="1" colspan="1">10,26</td>
              <td rowspan="1" colspan="1">6,99</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: EG, Infl and UNE stand for economic growth, inflation and unemployment rate, respectively. The data span from 2006 to 2022 after the establishment of the BRICS. <italic>Source</italic>: Author’s calculation based on World Bank data (2025)</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>China, India, and Russia experienced economic growth ranging from 3% to 11% on average between 2006 and 2022. Since then, however, their growth has declined. Factors contributing to this decline include global economic slowdowns, falling commodity prices, structural issues, political instability, rising inflation, China’s economic rebalancing, reduced consumer spending, and increased debt levels. This raises concerns about whether SA has been able to achieve its objectives since joining the BRIC grouping. What hinders the progress towards achieving these objectives, and why is South Africa’s performance so poor in comparison with that of the other BRICS member countries?</p>
      <p>This paper builds on several previous studies, such as that by Mazeda et al. (2018) who examined the implications of South Africa’s trade alliance with BRICS and SADC for the South African economy using autoregressive modelling on quarterly data from 2005 to 2017. They revealed that the South Africa-BRIC trade has made a negative contribution to the South African economy, while the contribution of the South Africa-SADC trade was positive. This paper contributes to the existing literature by investigating the impact of the BRICS Trade Agreement on the South African economy. The novelty of this study lies in its investigation of whether the South African economy benefits from the BRICS trade agreement, with a focus on export and import trade, as well as Foreign Direct Investment (<abbrev xlink:title="Foreign Direct Investment">FDI</abbrev>). It differs from those that have been documented in the literature, as the analysis goes deeper by looking at the BRIC trade inflow and outflow of export and import share, and the <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share from the BRIC member countries. The BRIC trade share refers to the exports or imports share of the BRIC member countries to South Africa, and the <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share is the <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share of the BRIC member countries to South Africa. The study adopted the Bayesian Vector Autoregression (<abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev>) with priors and Bayesian Generalized Method of Moments (<abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev>) for the model robustness, covering the period 2009Q1–2023Q4. The <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> uses hierarchical priors to address two measurable defects: uncertain data quality and frequent short observations. This allows for prior selection, which adjusts for these flaws. Bayesian approaches also improve the accuracy of the impulse response function. Banbura et al. (2010) pointed out that Bayesian Vector Autoregression (<abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev>) was beneficial for large dynamic models due to its credibility, structure analysis, dynamic relationship, uncertainty accounting and flexibility. The GMM was capable of effectively handling endogeneity problems using instruments and did not require strong assumptions about error term distributions (non-parametrically). This study seeks to use the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model to test the following hypotheses: (i) The BRIC trade agreement has no positive impact on the South African economy, (ii) the BRIC export share makes no contribution to South African growth, (iii) the BRIC import share has a negative impact on South African growth, (iv) the BRIC <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share has no significant impact on the South African economy, and (v) the exchange rate is more beneficial to South African growth.</p>
      <p>The paper is organized as follows: an overview of the literature on the subject is presented in section 2. Section 3 provides a description of the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model used in this study, while sections 4 and 5 detail the results, conclusions, and policy recommendations.</p>
    </sec>
    <sec sec-type="Empirical literature on the impact of trade and economic growth" id="sec3">
      <title>Empirical literature on the impact of trade and economic growth</title>
      <sec sec-type="Theoretical literature" id="sec4">
        <title>Theoretical literature</title>
        <p>The concept of trade as a driver of growth has been debated for centuries, with the first consistent theories developed by the classical school of thought emerging in the late 18th century. <xref ref-type="bibr" rid="B49">Smith (1776)</xref> and <xref ref-type="bibr" rid="B41">Ricardo (1817)</xref> laid the foundation for modern economic theory with their ideas about comparative advantage. In their view, countries benefit from specializing in goods based on their comparative and absolute advantages. This leads to efficiency and mutual benefits through free trade, which enhances resource allocation and promotes economic growth. Nations can then focus on their strengths, allowing them to achieve greater success. Ricardo’s theory of comparative advantage was the first to explain how trade could improve societal well-being and promote economic growth through specialization.</p>
        <p>The argument from the classical school of thought was further developed by the neoclassical trade theory in the 20th century. Prominent scholars, including <xref ref-type="bibr" rid="B45">Samuelson (1948)</xref>, extended the comparative advantage theory of Ricardo to incorporate factors such as capital and labour. Samuelson’s theory integrates the factors of production into the Ricardian model by suggesting that trade leads to more efficient allocation of resources and increased productivity. Hecksher and Ohlin refined the Ricardo model of comparative advantage by considering differences in labor, capital, and natural resources between countries. This became known as the Heckscher-Ohlin model. According to this model, countries export goods using their abundant factors of production extensively, and this results in greater efficiency and economic growth. Neoclassical theory posits that international trade promotes competition and specialization, leading to technological innovation and increased economic growth.</p>
        <p>Recent studies from the 1980s and 1990s introduced a new dimension to trade theories, as documented by scholars such as <xref ref-type="bibr" rid="B43">Romer (1990)</xref> and Roberts (1988). Their Endogenous Theory emphasizes that economic growth is driven not only by resource allocation but also by knowledge spillovers and technological innovation. They further argued that countries, which produced trade benefits from diffusion of new technology, experienced enhanced productivity, leading to sustained economic growth. These models suggest that trade promotes technological innovation and increased returns to scale, creating a direct link between trade and long-term economic development.</p>
        <p>The schol ars <xref ref-type="bibr" rid="B8">Bhagwati (1988)</xref> and <xref ref-type="bibr" rid="B18">Irwin (1996)</xref> emphasize the importance of trade liberalization. They show that trade liberalization promotes specialization, enhances productivity, and encourages more investment, resulting in higher national income, increased exports, and faster economic growth.</p>
      </sec>
    </sec>
    <sec sec-type="Empirical literature" id="sec5">
      <title>Empirical literature</title>
      <sec sec-type="Studies on the mixture of economics" id="sec6">
        <title>Studies on the mixture of economics</title>
        <p>The impact of trade on economic growth has been a subject of great concern among scholars. However, conclusions regarding this impact are far from straightforward. Different results have been reported in the literature, as researchers use various proxies for exports to measure trade in their studies. Some studies use exports and imports (<xref ref-type="bibr" rid="B28">Malefane &amp; Odhiambo, 2017</xref>, <xref ref-type="bibr" rid="B10">Dhea et al. 2023</xref>, <xref ref-type="bibr" rid="B40">Ningsih and Harningtias, 2022</xref>, Adinda et. al., 2021, Event and Jordaa, 2004); others favor trade openness. Even among import-export research, conflicting results have been reported, with some documenting a positive correlation (Malefan and Odhiamba, 2016) and others negative (<xref ref-type="bibr" rid="B40">Ningsih &amp; Harningtias, 2023</xref>).</p>
        <p>Back in 2007, an empirical study by Awokusa into the causal relationship between exports, imports, and economic growth in transition countries showed that trade stimulated economic growth of their economies. Eleven years later, in 2017, Malefane and Odhiambo took the argument further, focusing on South Africa’s economy. They documented that South Africa had been economically transformed from an inwardly-oriented import-substitution trade regime to an open, export-driven trade regime. The study by <xref ref-type="bibr" rid="B27">Malefane (2018)</xref> found that trade openness had a positive impact on the economic growth of South Africa and Botswana but had no significant impact in Lesotho. The findings of <xref ref-type="bibr" rid="B28">Malefane and Odhiambo (2017)</xref> and <xref ref-type="bibr" rid="B6">Awokuse (2007)</xref> are supported by a study conducted by <xref ref-type="bibr" rid="B1">Adinda et al. (2023)</xref> in Batam, Indonesia, using a quantitative approach. A study by Ningish and Harningtis (2023) presents a different finding. Their research indicates that while exports play a positive role in Indonesia’s economic growth, imports do not contribute significantly and even have a negative effect. This conclusion contradicts the conventional belief that both exports and imports are crucial for economic expansion. Dhea et al. conducted a similar study in 2023 on the Indonesian economy. Their findings showed that in the short term, exports and imports had little effect on economic growth. However, over the long term, their influence became substantial and statistically significant..</p>
        <p><xref ref-type="bibr" rid="B13">Event and Jordaan (2024)</xref> applied the Toda-Yamamoto augmented Granger non-causality approach to different countries. The study revealed a mixed causality relationship between exports, imports, and GDP per capita in Botswana, Eswatini, Namibia, Lesotho, and South Africa. The export-led growth hypothesis was supported in Botswana, while the import-led hypothesis was confirmed in Namibia. Growth-led exports were found to apply to Lesotho and South Africa.</p>
      </sec>
    </sec>
    <sec sec-type="Studies focusing on BRICS countries" id="sec7">
      <title>Studies focusing on BRICS countries</title>
      <p>Papers exploring the impact of the BRICS organization on its member countries have produced different findings. <xref ref-type="bibr" rid="B37">Ncube and Cheteni (2015)</xref>, <xref ref-type="bibr" rid="B11">Dingela and Ncwadi (2022)</xref>, and <xref ref-type="bibr" rid="B48">Sithole and Hlongwane (2023)</xref> found that the BRICS membership was beneficial for these countries. Other studies, however, suggest that it may have a negative impact on its members (Mazeda et al., 2018; <xref ref-type="bibr" rid="B31">Maphaka, 2020</xref>; <xref ref-type="bibr" rid="B34">Mazenda &amp; Masiya, 2021</xref>).</p>
      <p>The study conducted by <xref ref-type="bibr" rid="B37">Ncube and Cheteni (2015)</xref> examines the impact of the BRICS alliance on South Africa’s economic growth using the vector error correction model (<abbrev xlink:title="vector error correction model">VECM</abbrev>) approach for the period from 1980 to 2012. The findings of this study suggest that international trade significantly contributed to high rates of economic growth in the BRICS countries over recent decades. However, a study by Mazenda in 2016, which used an ARDL model to analyse data from 1990-2014 found that the effect was insignificant, and therefore could not explain a long-term relationship between South African trade, foreign direct investment and growth. <xref ref-type="bibr" rid="B35">Mbangata and Kanayo (2017)</xref> conducted a study on the significance of BRICS as an institution after ten years of its existence, using an interdisciplinary approach. Their study found that the BRICS countries suffered from both internal and domestic problems. Later, <xref ref-type="bibr" rid="B33">Mazenda et al. (2018)</xref> investigated the implications of South Africa-BRIC-SADC’s trade alliances for South Africa, using the autoregressive redistributive modelling on quarterly data from 2005 to 2017. The findings contradict those obtained by <xref ref-type="bibr" rid="B37">Ncube and Cheteni (2015)</xref>, who documented that South Africa-BRIC trade had a negative impact on the South African economy, whereas South Africa-SADC trade had a positive impact on South Africa’s economy. Similar findings regarding the impact of BRICS on South Africa were reported by <xref ref-type="bibr" rid="B31">Maphaka (2020)</xref>. The study investigated whether BRICS supported or undermined South Africa’s attempts to move away from the periphery of global politics and economics, using an Afrocentric qualitative research approach. The results suggest that South Africa does not derive advantages from BRICS in a mutually beneficial way.</p>
      <p><xref ref-type="bibr" rid="B11">Dingela and Ncwadi (2022)</xref> examined the behaviour of the South African economy towards inflows of foreign direct investment (<abbrev xlink:title="Foreign Direct Investment">FDI</abbrev>) from the BRIC member countries using the fully modified ordinary least squares (<abbrev xlink:title="fully modified ordinary least squares">FMOLS</abbrev>) and dynamic ordinary least squares (<abbrev xlink:title="dynamic ordinary least squares">DOLS</abbrev>) techniques. The findings are that the <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> from BRIC is beneficial to the South African economy. Similar findings were obtained by <xref ref-type="bibr" rid="B52">Gopano (2023)</xref>, who examined the regional economic integration on stock market linkages in the BRICS economic bloc. The study used BERK-MGARCH and panel data models to analyse South Africa’s total trade, BRICS existence, BRICS experience, and average distance. The results show that bilateral trade, as a proxy for economic integration, increases stock market integration, especially during surplus trade episodes. This positive relationship began three years after the formation of BRICS and continues to grow. <xref ref-type="bibr" rid="B48">Sithole and Hlongwane (2023)</xref> adopted the PMG estimator and Granger causality model, focusing on the financial mechanisms and project portfolio impacting the BRICS member countries. The results reveal a positive, bidirectional, statistically significant relationship between broad money and economic growth in BRICS. A different approach was used by <xref ref-type="bibr" rid="B29">Malik and Sah (2024)</xref>, who studied the relationship between foreign direct investment (<abbrev xlink:title="Foreign Direct Investment">FDI</abbrev>) and economic growth in the BRICS countries from 1990 to 2020. They used panel threshold autoregressive and panel smooth transition autoregressive models to measure trade openness and inflation rate. The findings showed that trade, domestic investment, and human capital positively influenced economic growth above the estimated thresholds, indicating that attracting <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> is crucial for improving growth.</p>
    </sec>
    <sec sec-type="Methodology and data adopted in this study" id="sec8">
      <title>Methodology and data adopted in this study</title>
      <sec sec-type="Justification of variables" id="sec9">
        <title>Justification of variables</title>
        <p>The questi on of whether the establishment of BRICS is beneficial for its member countries has been the subject of debate. However, in the existing literature, the effects are still unclear, since studies reveal conflicting results regarding the impact of the BRICS trade agreement on the member countries of the group. Studies use such variables as exports, imports, openness to trade, and foreign direct investments as proxies for trading. Unlike what has been done in the literature, this study uses the BRIC import share, the BRIC export share and the net inflow of foreign direct investment (as a percentage of GDP) in South Africa to capture the impact of BRIC trade on the South African economy. To achieve the objectives of the study, the researchers adopted the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model using prior information, following the work of <xref ref-type="bibr" rid="B30">Malla and Pathranarakul (2022)</xref>. Variables that form the trade-growth mechanism are reported in Table <xref ref-type="table" rid="T3">3</xref>. Three variables were used to capture intra-BRICS trade. The BRIC export share represents the proportion of South Africa’s exports that go to the BRIC countries. The BRIC import share, on the other hand, refers to the percentage of South Africa’s imports that come from these same countries. BRIC <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> (foreign direct investment) inflows indicate the investment made by the BRIC countries in South Africa. To strengthen the argument about trade and economic growth, the author takes into account monetary policy and fiscal policy. To support the trade-growth link in the model, the author includes variables such as house prices to reflect monetary policy and the central government’s debt to represent the fiscal stance.</p>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 3.</label>
          <caption>
            <p>Variables employed for hypothesis testing</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Theoretical framework variables</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Variable(s) code</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Description</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Dependent variable</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Growth</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">GDP growth (annual %)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Dependent variable</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">BRICimp</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Import partner share (%) (BRIC)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">BRICexp</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Export partner share (%) (BRIC)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">BRICFDI_Inflow</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">BRIC Foreign direct investment, net inflows (% of GDP)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Fiscal policy variable</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">CGD</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Central government debt, total (% of GDP)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Monetary policy variable</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">BRM</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Broad money (% of GDP)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Control variables in the model</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Emp</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Employers, total (% of total employment) (modeled ILO estimate)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">REEXC</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Real effective exchange rate index (2010 = 100)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Infl</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Inflation, consumer prices (annual %)</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The rationale behind using the housing market prices is that monetary policy affects interest rates, which in turn influence mortgage rates and subsequently trigger housing demand and price dynamics. This would obviously affect household wealth, leading to reductions in investment and consumption, i.e. the main channels through which the benefits of trade can be amplified or shocks can be magnified. Central government debt reflects fiscal space available for responding to trade opportunities arising from the BRICS agreement. The potential economic benefits of the agreement may be hindered due to high debt levels, which could constrain public investment. A direct influence on exchange rates, interest rates, and macroeconomic stability is witnessed for both monetary and fiscal policy, which are believed to trigger the trade flows. The model is designed to accurately analyse the impact of the BRIC trade agreement on economic growth by capturing these policy interventions and preventing confounding effects caused by policy-driven macroeconomic fluctuations. The study further controls for Employers, total (% of total employment) (modelled ILO estimate), Real effective exchange rate index (2010 = 100), Inflation, and consumer prices (annual %). Controlling for these factors is essential because they influence economic stability and competitiveness. Employers’ share reflects labour market dynamics; the real exchange rate has an impact on export competitiveness and import costs; inflation affects purchasing power and price stability, which in turn influence trade balances. Accounting for these factors ensures a more accurate understanding of trade flows, economic performance, and external competitiveness in global markets. The selection of variables was guided by theoretical underpinnings and empirical research that substantiated the relationships under study.</p>
      </sec>
      <sec sec-type="Model specification" id="sec10">
        <title>Model specification</title>
        <p>To achieve the objective of this research, the author adopted the VAR model, incorporated with the Bayesian econometrics, known as the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model. Let us consider the following VAR(p) model:</p>
        <p><mml:math id="M1"><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>…</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ϵ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mtext> with </mml:mtext><mml:msub><mml:mi>ϵ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>Σ</mml:mi><mml:mo>)</mml:mo></mml:math> (1)</p>
        <p>where <italic>Y<sub>t</sub></italic> denotes the endogenous variable which is 7 × 1, while the vector constant is α<sub>0</sub>. The matrix coefficient is denoted by <italic>A<sub>p</sub></italic> which is 7 × 7, and the vector of endogenous shocks is <italic>ϵ<sub>t</sub></italic> or a 7 × 1. In the model, <mml:math id="M2"><mml:mn>7</mml:mn><mml:mo>×</mml:mo><mml:msubsup><mml:mn>7</mml:mn><mml:mi>p</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:math> is the number of coefficients to be estimated, which rises drastically with the number of included variables and/or lags. The curse of dimensionality — a problem in frequentist estimation — can be overcome by incorporating prior beliefs about model parameters in a Bayesian framework. This allows for the use of larger models, which can lead to improved prediction accuracy. (<xref ref-type="bibr" rid="B7">Bańbura et al., 2010</xref>).</p>
      </sec>
    </sec>
    <sec sec-type="Prior specification" id="sec11">
      <title>Prior specification</title>
      <p><xref ref-type="bibr" rid="B15">Giannone et al. (2015)</xref> proposed setting prior parameters based on data, treating them as additional parameters. They integrate the marginal likelihood (<abbrev xlink:title="marginal likelihood">ML</abbrev>) of the model and use it as a decision criterion for exploring parameter space. Their approach demonstrates accuracy in estimating impulse response functions and outperforms standard VAR models, while performing similarly to factor models. It has been widely adopted. The researchers consider the prior distributions of commonly used Gaussian-inverse-Wishart families:</p>
      <p><mml:math id="M3"><mml:mi>β</mml:mi><mml:mo>∣</mml:mo><mml:mi>Σ</mml:mi><mml:mo>∼</mml:mo><mml:mi>ϰ</mml:mi><mml:mo>(</mml:mo><mml:mi>b</mml:mi><mml:mo>,</mml:mo><mml:mi>Σ</mml:mi><mml:mo>⊗</mml:mo><mml:mi>Ω</mml:mi><mml:mo>)</mml:mo></mml:math>	(2)</p>
      <p><mml:math id="M4"><mml:mi>Σ</mml:mi><mml:mo>∼</mml:mo><mml:mi>I</mml:mi><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>Ψ</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo></mml:math>	(3)</p>
      <p>where <italic>b</italic>, Ω, Ψ and <italic>d</italic> are functions of a lower-dimensional vector of hyperparameters γ. The <abbrev xlink:title="marginal likelihood">ML</abbrev> of a model can be efficiently computed in closed form as a function of γ due to the conjugacy of Equations 1 and 2, considering three specific priors: Minnesota (Litterman), sum-of-coefficients, and single-unit-root (Giannone et al. 2015). The Minnesota prior, a parsimonious specification that assumes random walk processes (<xref ref-type="bibr" rid="B23">Litterman, 1980</xref>), is effective for macroeconomic time-series forecasting (Kilian and Lütkepohl, 2017), and serves as a benchmark for evaluating accuracy.</p>
      <p>It is characterized by the following:</p>
      <p><mml:math id="M5"><mml:mtable displaystyle="true" columnspacing="1em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mrow><mml:mover><mml:mi>i</mml:mi><mml:mo>˙</mml:mo></mml:mover></mml:mrow><mml:mi>j</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mi>Σ</mml:mi><mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mtable columnspacing="1em" rowspacing="4pt"><mml:mtr><mml:mtd><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mtext> if </mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mtext> otherwise </mml:mtext></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo><mml:mi>cov</mml:mi><mml:mo>⁡</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mrow><mml:mover><mml:mi>k</mml:mi><mml:mo>˙</mml:mo></mml:mover></mml:mrow><mml:mi>l</mml:mi></mml:msub><mml:mrow><mml:mo>|</mml:mo><mml:mstyle scriptlevel="0"><mml:mspace width="thinmathspace"/></mml:mstyle><mml:mi>Σ</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mtable columnalign="left" columnspacing="1em" rowspacing="4pt"><mml:mtr><mml:mtd><mml:mfrac><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mfrac><mml:mo>,</mml:mo><mml:mtext> if </mml:mtext><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mi>j</mml:mi><mml:mtext> and </mml:mtext><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mi>s</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>ϑ</mml:mi><mml:mfrac><mml:msup><mml:mi>λ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mfrac><mml:mfrac><mml:msubsup><mml:mi>σ</mml:mi><mml:mi>j</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:msubsup><mml:mi>σ</mml:mi><mml:mi>j</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:mfrac><mml:mo>,</mml:mo><mml:mtext> otherwise </mml:mtext></mml:mtd></mml:mtr></mml:mtable><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>	(4)</p>
      <p>The parameter λ controls the tightness of the prior, weighing the relative importance of the prior and data. As λ → 0, the prior is imposed exactly, while as λ → ∞, posterior estimates approach OLS estimates. A controls the punishment of distant observations, and Ψ controls the prior’s standard deviation on other variables’ lags. The Minnesota prior is refined as additional priors to reduce the deterministic component of VAR models based on initial observations (Giannone et al. 2015). The sum-of-coefficients (<abbrev xlink:title="sum-of-coefficients">SOC</abbrev>) prior (Doan et al., 1984), implemented via Theil mixed estimation, imposes the notion that a no-change forecast is optimal at the beginning of a time series.</p>
      <p><mml:math id="M6"><mml:munder><mml:msup><mml:mi>Y</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mi>M</mml:mi><mml:mo>×</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:munder><mml:mo>=</mml:mo><mml:mi>diag</mml:mi><mml:mo>⁡</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mover><mml:mi>y</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mi>μ</mml:mi></mml:mfrac><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munder><mml:msup><mml:mi>x</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mi>M</mml:mi><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>M</mml:mi><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:munder><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math>	(5)</p>
      <p>where ȳ is a M × 1 vector of averages over the first <italic>p</italic> observations of each variable, with the key parameter µ controlling variance and tightness. As µ → ∞, the model becomes uninformative, leading to the single-unit-root (<abbrev xlink:title="single-unit-root">SUR</abbrev>) prior (Sims &amp; Zha 1998), allowing cointegration relationships in the data. The prior influences variables towards their unconditional mean or at least one unit root, with associated dummy observations:</p>
      <p><mml:math id="M7"><mml:msup><mml:mrow><mml:munder><mml:mi>Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>×</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:munder></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mover><mml:mi>y</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mi>δ</mml:mi></mml:mfrac><mml:mo>+</mml:mo><mml:munder><mml:msup><mml:mi>x</mml:mi><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mn>1</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>M</mml:mi><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:munder><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mfrac><mml:mrow><mml:mover><mml:mi>y</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mi>δ</mml:mi></mml:mfrac><mml:mo>,</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math> (6)</p>
      <p>The key parameter δ governs the tightness of the <abbrev xlink:title="single-unit-root">SUR</abbrev> prior. The choice of prior parameters in a Bayesian model is conceptually identical to the inference on any other parameter (<xref ref-type="bibr" rid="B12">Doan et al. 1984</xref>; <xref ref-type="bibr" rid="B7">Banbura et al. 2010</xref>). <xref ref-type="bibr" rid="B15">Giannone et al. (2015)</xref> show that VAR models with conjugate priors can be treated as hierarchical, with the marginal likelihood of the data available in closed form. Estimating hyperparameters via maximization of the <abbrev xlink:title="marginal likelihood">ML</abbrev> is an empirical Bayes method with clear frequentist interpretation.</p>
    </sec>
    <sec sec-type="Empirical analysis and interpretation results" id="sec12">
      <title>Empirical analysis and interpretation results</title>
      <p>The Bayesian VAR model will be used as the main model, and the Bayesian GMM will serve as a robustness check to examine the impact of the BRICS agreement on the South African economy over the period 2009Q1 — 2023Q4. Both the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> and <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> are adopted because they offer advantages for studying the subject at hand, helping to incorporate prior knowledge, improve parameter estimates, and address endogeneity. The <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> captures dynamic relationships and uncertainty, while the <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> handles complex models, offering more reliable results for small sample sizes. This study transforms the data, following the function that has been adopted in the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> literature (<xref ref-type="bibr" rid="B22">Kuschnig &amp; Vashold, 2019</xref>). As shown in the literature, the function deals with several transformations within the system. The ordering of variables in the VAR system is crucial, so machine learning uses a random forest algorithm to determine which variables are important. This means that the model should be specified as follows: growth, BRIC exp, BRIC imp, BRIFDII, REEXP, Infl, and CGD.</p>
    </sec>
    <sec sec-type="Data transformation and stationarity" id="sec13">
      <title>Data transformation and stationarity</title>
      <p>When estimating both the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> and <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> models it is necessary to check the rectangular numeric matrix to ensure that there are no missing values. The model we are using is a matrix, as explained in the methodology. All variables in this study have been expressed as rates, so it would be inappropriate to record the data as individual numbers. The data underwent the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> transformation process using code 2<sup><xref ref-type="fn" rid="en1">1</xref></sup> for stationarity, following <xref ref-type="bibr" rid="B36">McCracken and Ng (2016)</xref> and Kuschning and Vashold (2019). The variables were tested for stationarity using the Augmented Dickey-Fuller test (<abbrev xlink:title="Dickey-Fuller test">ADF</abbrev>) and Phillips-Perron test (<abbrev xlink:title="Phillips-Perron test">PP</abbrev>), crucial for accurate predictive models in economics, finance, and other fields. The results indicate that all the variables are non-stationary at levels and stationary after initial differencing. This is detailed in Appendix <xref ref-type="fig" rid="F6">A</xref>. Given that the study used quarterly data, the length of the lag was restricted to six as a rule of thumb. Both the Schwarz Criterion and the Akaike Information Criterion were applied, leading to a lag of four based on the results from both criteria. The study spans from Q1 2009 to Q4 2023, yielding 60 observations. Lagging reduces this to 56, which leads to overfitting especially when the number of parameters is large relative to the number of observations. As proposed in the literature, the standard VAR models cannot handle short-term observations. To resolve this issue, the author uses a <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> (Bayesian Vector Autoregression) model with a strong Minnesota shrinkage prior.</p>
    </sec>
    <sec sec-type="The prior setup and configuration" id="sec14">
      <title>The prior setup and configuration</title>
      <p>To handle missing data points and data of uncertain quality, the VAR econometric paradigm places a strong emphasis on prior setups. Conventional VARs lose degrees of freedom due to over-parameterization. In order to overcome these constraints, the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model was used. The model is built up according to Kuschnig and Vashold’s prior setting algorithm (Kuschnig &amp; Vashold, 2019), which includes the hierarchical handling of the hyperparameters and arguments for the Minnesota and dummy-observation priors. After fitting the AR(p) models to each variable, the author may use Kuschnig and Vashold’s prior setting function to set Ψ to the square root of the innovation variance. Three dummy observation priors are pre-constructed by adding a sum-of-coefficients prior to a single unit-root prior. Essential parameter hyperpriors are assigned gamma distributions similar to λ, and lower and upper limits are placed on the prior hyperparameter.</p>
    </sec>
    <sec sec-type="Estimation of the model and identification via sign restrictions" id="sec15">
      <title>Estimation of the model and identification via sign restrictions</title>
      <p>The <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model requires data preparation and transformation, with the order p as an argument, with initial iterations, burns, and draws set up. For this study the burns were set to 150000000, while the draws were set to 50000000 for model accuracy. The author set verbose true for a progress bar during the Markov chain Monte Carlo stage (Kuschnig &amp; Vashold, 2019). Table <xref ref-type="table" rid="T4">4</xref> shows the posterior marginal likelihood results.</p>
      <table-wrap id="T4" position="float" orientation="portrait">
        <label>Table 4.</label>
        <caption>
          <p>Posterior marginal likelihood</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Bayesian VAR: For the Export model</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Bayesian VAR for the Import model</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Optimisation concluded. Posterior marginal likelihood: -534.113 Hyperparameters: lambda = 0.1194 |===========================| 100% Finished MCMC after 3.3 hours</td>
              <td rowspan="1" colspan="1">Optimisation concluded. Posterior marginal likelihood: -503.675 Hyperparameters: lambda = 0.2342 |=============================| 100% Finished MCMC after 3.5 hours.</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The BVA function generates a <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> class object, including hyperparameters, VCOV matrix, VAR coefficients, marginal likelihood values, prior settings, initial hyperparameter values, and established values. <abbrev xlink:title="impulse response functions">IRFs</abbrev> are calculated using suitable shocks, following algorithms by <xref ref-type="bibr" rid="B44">Rubio-Ramirez et al. (2010)</xref> or <xref ref-type="bibr" rid="B4">Arias et al. (2018)</xref> if no restrictions are imposed.</p>
      <fig id="F1">
        <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure3</object-id>
        <object-id content-type="arpha">E7EF5B38-4589-5487-82BB-9070F46FE842</object-id>
        <label>Figure 1.</label>
        <caption>
          <p>Density of growth plots of all hierarchically treated hyperparameters and the ml. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
        </caption>
        <graphic xlink:href="brics-econ-07-177-g001.jpg" id="oo_1559381.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1559381</uri>
        </graphic>
      </fig>
    </sec>
    <sec sec-type="The result of the convergence of Markov chain Monte Carlo in a BVAR model" id="sec16">
      <title>The result of the convergence of Markov chain Monte Carlo in a BVAR model</title>
      <p>This section provides an overview of the convergence of MCMC model estimation algorithms, which are essential for stability.</p>
      <p>Table <xref ref-type="table" rid="T5">5</xref> provides a summary of the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> for export and import models, using arguments <italic>var_impulse and var_response</italic> for obtaining autoregressive coefficients.</p>
      <table-wrap id="T5" position="float" orientation="portrait">
        <label>Table 5.</label>
        <caption>
          <p>Summary of the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="2">
                <bold>Bayesian VAR consisting of 56 observations, 6 variables and 4 lags</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">Export model</td>
              <td rowspan="1" colspan="1">Import model</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Time spent calculating</td>
              <td rowspan="1" colspan="1">3.3 hours</td>
              <td rowspan="1" colspan="1">3.5 hours</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">HLHVP</td>
              <td rowspan="1" colspan="1">0.1194</td>
              <td rowspan="1" colspan="1">0.3432</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Iterations (burnt / thinning):</td>
              <td rowspan="1" colspan="1">150000000 (50000000 / 1)</td>
              <td rowspan="1" colspan="1">150000000 (50000000 / 1)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Accepted draws (rate):</td>
              <td rowspan="1" colspan="1">4149192 (0.515)</td>
              <td rowspan="1" colspan="1">4843533 (0.675)</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: HLHVP stands for Hyperparameters lambda Hyperparameter values after optimization. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The author chose a visualization technique for analysis, displaying trace<sup><xref ref-type="fn" rid="en2">2</xref></sup>, density<sup><xref ref-type="fn" rid="en3">3</xref></sup>, and hierarchical hyperparameter treatments. The results showed convergence in critical hyperparameters within the estimated <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model, and the MCMC chain effectively explored posterior distribution.</p>
      <fig id="F2">
        <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure4</object-id>
        <object-id content-type="arpha">74AF1805-B8F9-58C8-B209-F7A84E9C426D</object-id>
        <label>Figure 2.</label>
        <caption>
          <p>Trace and density plots of all hierarchically treated hyperparameters and the ml. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
        </caption>
        <graphic xlink:href="brics-econ-07-177-g002.jpg" id="oo_1559374.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1559374</uri>
        </graphic>
      </fig>
    </sec>
    <sec sec-type="I mpulse responses of the Bayesian VAR with no sign restrictions" id="sec17">
      <title>I mpulse responses of the Bayesian VAR with no sign restrictions</title>
      <p>T he main aim of this study is to explore how the South African economy responded to the BRICS trade agreement covering the period from 2019Q1 to 2030Q4, using the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> (Bayesian Vector Autoregression) model. The study further seeks to use <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> to quantify the impact of endogeneity in the model and control it. T his investigation is crucial to understanding trade dynamics, investment flows and policy changes. It has the potential to enhance economic development, reduce inequality and promote regional integration. Figure <xref ref-type="fig" rid="F2">2</xref> shows the impulse response functions (<abbrev xlink:title="impulse response functions">IRFs</abbrev>) from the <abbrev xlink:title="Bayesian Vector Autoregression">BVAR</abbrev> model, using tighter hierarchical selection. The coefficients for the variables BRICexpi, BRICimp, BRICKFDII, REEXC, Infl, and EGD correspond to 16% and 84% credible sets of economic growth. Figures <xref ref-type="fig" rid="F3">3</xref>, <xref ref-type="fig" rid="F4">4</xref>, and <xref ref-type="fig" rid="F5">5</xref> show the impact of BRIC exports, imports, and <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> on South Africa’s economic growth. Figure <xref ref-type="fig" rid="F3">3</xref> presents the combined effect of these variables on economic development without control variables. The BRIC index was used to determine how economic growth in South Africa responds to the share of exports from BRIC countries and foreign investment from these countries.</p>
      <p>A s anticipated, Figure <xref ref-type="fig" rid="F3">3</xref> shows that BRIC exports significantly contribute to South Africa’s economic growth. The maximum impact is 0.35 after a one-percent standard deviation shock in seven quarters, and then it converges to the steady-state region. T hese findings are in line with South African literature, as well as BRICS literature and other country studies (Malefane and Odhiambo 2017; Ncube and Cheteni 2015, Dingela and Ncwadi 2022). (<xref ref-type="bibr" rid="B1">Adinda et al., 2023</xref>). The BRIC trade agreement provides South Africa with access to larger and more diverse markets in the BRIC countries, driving demand for South African goods and services. This has been facilitated by Brazil, China, and India, which have increasingly consumed South African resources and reinforced infrastructure development, contributing to job creation. They further boost growth by increasing foreign exchange earnings and transferring technology. The BRICS trade agreement provides resilience for South Africa against global market fluctuations, stabilizing and fostering long-term economic growth.</p>
      <p>When the researcher sought to find out how economic growth responded to the BRICS <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share in South Africa, the results were very interesting. The study reported that South Africa’s economic growth responded positively, reaching its maximum impact of 0.25 after three quarters, following a one-percent standard deviation. It then converged to a steady state and died out after 12 more quarters. Similar to what was done in model 1, foreign direct investment from the BRIC countries was also included in model 2. As a result, the conclusion is the same as reported in Figure <xref ref-type="fig" rid="F3">3</xref>. However, for Figure <xref ref-type="fig" rid="F3">3b</xref>, the shock reaches a maximum impact of 0.18 after two quarters, following one percent standard deviation. It then converges to a steady state and dies out after six quarters. These findings are in line with South African literature, including <xref ref-type="bibr" rid="B25">Makhoba &amp; Zungu (2021)</xref> and Makhoba (2024), and also with BRICS literature, such as <xref ref-type="bibr" rid="B11">Dingela &amp; Ncwadi (2022)</xref>, Kalai et al. (2024), and <xref ref-type="bibr" rid="B29">Malik &amp; Sah (2024)</xref>. They are also supported by other country studies (<xref ref-type="bibr" rid="B50">Sunde, 2017</xref>; <xref ref-type="bibr" rid="B2">Ahmed et al, 2023</xref>)</p>
      <fig id="F3">
        <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure5</object-id>
        <object-id content-type="arpha">A479EFEF-F636-5739-AEA0-88554D0B4B04</object-id>
        <label>Figure 3.</label>
        <caption>
          <p>Generated impulse responses of economic growth to the BRIC export share from the Bayesian VAR. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
        </caption>
        <graphic xlink:href="brics-econ-07-177-g003.jpg" id="oo_1559373.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1559373</uri>
        </graphic>
      </fig>
      <p>The positive impact of <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> from the BRIC countries on South African economic growth is driven by their technological advancements, capital investment, and expertise. These countries focus on sectors like energy, manufacturing, mining and infrastructure in South Africa. Their <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> inflows boost South African trade by improving productivity and fostering innovation and competitiveness, which further expands the growth of domestic industries. As the BRIC countries continue to invest in South Africa, the economy becomes more integrated with the global value chain, enhancing economic stability and providing long-term growth opportunities.</p>
      <p>The second model reported in Figure <xref ref-type="fig" rid="F4">4</xref> was estimated based on the idea that a separate model should be developed to estimate the effects of BRIC exports and import shares on economic growth in South Africa. The results of the analysis of BRIC imports reveal a significant increase in economic growth in South Africa. A positive response was observed after a 1% increase in BRIC imports. The maximum impact was reached at 0.29 percent after three quarters. After 10 quarters, the impact converged and died out. These findings are consistent with the South African literature (<xref ref-type="bibr" rid="B28">Malefane &amp; Odhiambo, 2017</xref>) as well as the BRICS literature (<xref ref-type="bibr" rid="B37">Ncube &amp; Cheteni, 2015</xref>; <xref ref-type="bibr" rid="B11">Dingela &amp; Ncwadi, 2022</xref>) and other country studies (<xref ref-type="bibr" rid="B1">Adinda et al., 2023</xref>). South Africa’s economic growth has been largely attributed to the increased export share of its products to BRIC (Brazil, Russia, India, China) countries, especially Brazil, China and India. This expansion of markets has given South Africa the opportunity to tap into increased demand for its raw materials, boosting South Africa’s foreign exchange reserves through providing funds for job creation, infrastructure development and social programs. This is also a result of rapid growth and expansion of the middle class in those countries, which creates a steady demand for exports such as minerals, metals and energy resources. The diversification of export markets reduces the dependence on fluctuating market conditions and promotes long-term, sustainable growth, as a result of the rapid growth of the middle class and its expansion.</p>
      <fig id="F4">
        <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure6</object-id>
        <object-id content-type="arpha">A49A6E6F-A186-5BF8-BFFA-5351E3C14F9B</object-id>
        <label>Figure 4.</label>
        <caption>
          <p>Generated impulse responses of economic growth to the BRIC share of imports from the Bayesian VAR. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
        </caption>
        <graphic xlink:href="brics-econ-07-177-g004.jpg" id="oo_1559375.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1559375</uri>
        </graphic>
      </fig>
      <p>Movin g forward in both models, the author controlled for exchange rates, which were captured by the real effective exchange rate index (2010=100). Inflation was measured by consumer prices (annual %), and government debt was represented by total central government debt as a percentage of GDP. Controlling for these variables is crucial because they affect external competitiveness, domestic price stability, and fiscal sustainability. This approach provides a clearer picture of the BRICS countries’ direct impact on growth and enhances the reliability of results. In both models, the exchange rate has a positive impact on economic growth in South Africa. Economic growth responds positively to a 1% standard deviation shock on the REEXC exchange rate, reaching a maximum impact of 0.20 after three quarters. This impact then converges and dies out after six quarters. The maximum impact achieved is 0.50, as shown in Figure <xref ref-type="fig" rid="F4">4</xref>. These findings are consistent with the studies conducted by <xref ref-type="bibr" rid="B46">Seraj and Coskuner (2021)</xref> in 93 countries and <xref ref-type="bibr" rid="B38">Ndou et al. (2024)</xref> in South Africa. The exchange rate and economic growth in South Africa are influenced by exports, which make the country more competitive and boost demand for goods. This increases local business revenues and foreign exchange reserves, leading to more job creation and infrastructure improvements through foreign investment. These factors contribute to overall economic growth in the country. A positive exchange rate environment entices potential profits and stimulates the nation’s economic growth.</p>
      <p>This study adopted inflation as a variable (infl). In both Figures <xref ref-type="fig" rid="F3">3</xref> and <xref ref-type="fig" rid="F4">4</xref>, the results show that economic growth decreased gradually following a standard deviation shock of 1% to inflation. The minimum was reached at -0.41 three quarters later, and then it converged and stopped after six quarters.</p>
      <fig id="F5">
        <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure7</object-id>
        <object-id content-type="arpha">93458135-7AC2-542F-8730-69704DBEE60B</object-id>
        <label>Figure 5.</label>
        <caption>
          <p>Generated impulse responses of economic growth to BRIC exports, imports and <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share from the Bayesian VAR. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
        </caption>
        <graphic xlink:href="brics-econ-07-177-g005.jpg" id="oo_1559376.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1559376</uri>
        </graphic>
      </fig>
      <p>The empirical findings do not align with the results obtained by Bittencourt et al. (2014) for SADC countries and by <xref ref-type="bibr" rid="B14">Ezako (2023)</xref> in Burundi. High inflation increases living costs, reducing purchasing power, and leads to slower economic activity due to decreased demand. This is because consumers spend more money on essential goods and services. Excessively high inflation can also lead to uncertainty and lower profits, as it discourages investment and increases the risk of loss.</p>
      <p>Lastly, the author controls for government debt in both models 1 and 2, as reported in Figures <xref ref-type="fig" rid="F3">3</xref> and <xref ref-type="fig" rid="F4">4</xref>. Figures <xref ref-type="fig" rid="F3">3</xref> and <xref ref-type="fig" rid="F4">4</xref> show that CGD (Controlled Government Debt) significantly contributes to economic growth, with a maximum impact of 0.15 three quarters after a 1% standard deviation shock. The impact then converges and reverses to the steady-state region. However, Figure <xref ref-type="fig" rid="F5">5</xref> shows that the impact reaches a maximum of 0.12 three quarters later and converges to a steady state, dying after six quarters. Regardi ng the impact of public debt on economic growth, it can be noted that it is asymmetrical and seems to be influenced by the variables in the control group adopted in the model. The empirical findings do not align with the results reported by <xref ref-type="bibr" rid="B39">Ngcobo et al. (2025)</xref> for newly democratic African countries (South Africa and Namibia) and European countries (Germany and Ukraine), and by <xref ref-type="bibr" rid="B5">Augustine and Rafi (2023)</xref> for emerging and developing economies. Central government debt in South Africa can stimulate economic growth through financing public infrastructure projects and reducing inequality. It also enhances human capital by providing opportunities for education and training. Government debt can be a powerful fiscal policy instrument that helps to restore the economy during downturns by stimulating demand. When managed properly, it creates a favourable investment environment for the private sector and improves competitiveness.</p>
    </sec>
    <sec sec-type="Bayesian Generalized Methods of Moments results and discussion" id="sec18">
      <title>Bayesian Generalized Methods of Moments results and discussion</title>
      <p>For robustness purposes, the study adopted the Bayesian Generalized Method of Moments (<abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev>), covering the period 2009Q1–2023Q4, to investigate the impact of the BRIC trade agreement on South African growth. The motivation for using the <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> in this study is that it is effective in addressing various issues in the data, such as model uncertainty and endogeneity. Bayesian econometrics accounts for prior information, allowing for efficient estimation in the presence of potential relationships between trade, economic growth, and other factors. This improves robustness, especially for small samples, and makes it ideal for capturing complex economic dynamics and providing reliable estimates. The selection of instruments is crucial to the GMM because it helps address endogeneity and ensures the validity of moment conditions, which in turn maintains the efficiency of coefficients. The within-instrument approach was adopted, using lagged values for endogenous variables, with four lags chosen for the study, which deals with quarterly data. In this section, we provide further evidence to support the robustness of our findings. To assess the sensitivity of our results, we controlled for three significant variables in our model: unemployment, monetary policy, and economic development. These factors are believed to play a significant role in the relationship between the BRIC countries’ agreements and economic growth. Unemployment affects domestic consumption and productivity, while monetary policy influences investment, interest rates, and inflation. Therefore, these factors contribute to economic stability, which has a direct impact on growth and trade opportunities in the BRICS countries. On the other hand, economic development drives innovation, infrastructure and investment, enhancing South Africa’s competitiveness in BRICS.</p>
      <p>To illustrate the impact of the BRICS trade agreement on economic growth in South Africa, several models were estimated, as shown in Table <xref ref-type="table" rid="T6">6</xref>. Models c, d, and e were estimated separately, while model f included both BRICS imports, exports, and <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> in the same model. After estimating the model, the author follows the normal procedure for checking the validity of the model using Arellano–Bond autocorrelation tests AR(1) and AR(2), and the Hansen j-test for overidentification restrictions. The results of AR(1) tests for models c, d, e, and f are -0.89 (0.548), −0.69 (0,634) −0.54 (0.458) and 0,12 (0.754) respectively, indicating that the instruments used are valid. The Hansen j test further supports this conclusion.</p>
      <table-wrap id="T6" position="float" orientation="portrait">
        <label>Table 6.</label>
        <caption>
          <p>The <abbrev xlink:title="Bayesian Generalized Method of Moments">BGMM</abbrev> effects of the BRIC trade agreement on South African growth</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">
                <bold>Model c: Import share</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Model d: Export share</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Model e: <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> share</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Model f: Combine</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">BRICimp</td>
              <td rowspan="1" colspan="1">3.09**(0.89)</td>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">2.94**(0.60)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">BRICexp</td>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">5.58**(1.33)</td>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">3.00** (1.40)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">BRICFDII</td>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1"/>
              <td rowspan="1" colspan="1">4.48(2.00)</td>
              <td rowspan="1" colspan="1">3.42**(1.03)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">REEXC</td>
              <td rowspan="1" colspan="1">2.05 ***(0.35)</td>
              <td rowspan="1" colspan="1">1.34*(0.91)</td>
              <td rowspan="1" colspan="1">2.00**(0.80)</td>
              <td rowspan="1" colspan="1">1.40 **(0.23)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Infl</td>
              <td rowspan="1" colspan="1">-2.00**(0.20)</td>
              <td rowspan="1" colspan="1">-1.69**(0.20)</td>
              <td rowspan="1" colspan="1">-0.89**(0.23)</td>
              <td rowspan="1" colspan="1">-2.60* (0.76)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">CGD</td>
              <td rowspan="1" colspan="1">2.23**(0.63)</td>
              <td rowspan="1" colspan="1">1.98*(.97)</td>
              <td rowspan="1" colspan="1">2.94**(0.45)</td>
              <td rowspan="1" colspan="1">2.45**(1.02)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Unmp</td>
              <td rowspan="1" colspan="1">-2.60 **(0.30)</td>
              <td rowspan="1" colspan="1">-2.50**(1.23)</td>
              <td rowspan="1" colspan="1">-2.90**(1.02)</td>
              <td rowspan="1" colspan="1">-3.50 **(0.60)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">GEXP</td>
              <td rowspan="1" colspan="1">2.84**(0.53)</td>
              <td rowspan="1" colspan="1">3.34**(1.43)</td>
              <td rowspan="1" colspan="1">1.43**(0.31)</td>
              <td rowspan="1" colspan="1">2.22**(1.40)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">HP</td>
              <td rowspan="1" colspan="1">-1.34**(0.40)</td>
              <td rowspan="1" colspan="1">-2.34 **(0.45)</td>
              <td rowspan="1" colspan="1">-2.56** (0.42)</td>
              <td rowspan="1" colspan="1">-3.20 **(1.13)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">AR(1): z.p-</td>
              <td rowspan="1" colspan="1">-2.85 (0.004)</td>
              <td rowspan="1" colspan="1">-3.42(0.001)</td>
              <td rowspan="1" colspan="1">-2.43(0.002)</td>
              <td rowspan="1" colspan="1">-3.41(0.001)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">AR(2):z.p</td>
              <td rowspan="1" colspan="1">-0.89(0.548)</td>
              <td rowspan="1" colspan="1">-0.69(0.634)</td>
              <td rowspan="1" colspan="1">-0.54(0.458)</td>
              <td rowspan="1" colspan="1">0.12(0.754)</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: The dependent variable is economic growth. The numbers in brackets denote the standard errors. (***), (*), (*) reflect the 1%, 5%, and 10% levels of significance, respectively. Then z is the z-score, while p denotes the p-values which is the value in bracket under AR(1) and AR(2). <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The results of the robustness analysis demonstrate three main findings: 1) the effect of BRICS trade agreements on South Africa’s growth does not depend on any specific variable included in the analysis; 2) the results are consistent with those of the baseline analysis, regardless of which model is used; 3) when considering the magnitude of coefficients, BRICS imports (3.09%), exports (5.58%), and <abbrev xlink:title="Foreign Direct Investment">FDI</abbrev> (4.48%) have a significant impact on boosting growth.</p>
      <p>As mentioned above, for robustness and model sensitivity, the adopted model shows a statistically significant negative impact on economic growth, with unemployment having a significant impact on all models. This indicates that, on average, a 1% increase in unemployment (Unmp) leads to a decrease in economic growth of 3.50%, the highest magnitude impact among all the models. These findings align with studies by Makarenga and Khaba (2018) in South Africa and Hajzeen et al (2021). Unemployment hinders economic growth by limiting consumer demand, reducing productivity, and decreasing tax revenue. Low disposable income results in reduced demand for goods and services, leading to lower revenues for businesses and stagnation across various sectors. High unemployment rates mean that human capital is not fully utilized, impeding innovation and economic growth. Increased government spending on social welfare programs diverts funds from investment in infrastructure, further limiting overall economic development.</p>
      <p>However, when models for controlling government expenditure are introduced into the system in order to control fiscal policy, results show a statistically significant effect of government spending on economic growth in South Africa. The magnitude of this effect is 3.34%, following a 1% increase in government spending. This can be explained by the fact that, during an economic downturn, governments may increase spending to stimulate demand and support key sectors, such as infrastructure, education, healthcare and public services, helping to create jobs and boost economic growth. These empirical findings are consistent with the results reported by <xref ref-type="bibr" rid="B53">Zungu and Greyling (2022)</xref> for African emerging economies and by <xref ref-type="bibr" rid="B21">Kimaro et al. (2017)</xref> for sub-Sahara African low-income countries.</p>
      <p>Such investment increases productivity and creates jobs, leading to an improvement in living standards. Moreover, if government spending is well-managed and directed towards the right channels, it may lead to an increase in economic growth. Social programs reduce inequality, resulting in increased consumer spending. Fiscal stimulus can counterbalance the effects of slow growth during economic downturns, driving short-term recovery and long-term sustained economic growth. The model further included the monetary policy variable, which featured house prices. The results showed that monetary policy reduced economic growth by 3.20% following a 1% increase in house prices. The empirical findings are not in line with the results reported by <xref ref-type="bibr" rid="B3">Alves and Silva (2020)</xref>. An excessive increase in house prices can hinder economic growth, as it pushes consumers into debt, forcing them to spend more on mortgage payments, which reduces their disposable income for other goods and services, and slows down economic activity overall. Market instability may hinder first-time buyers, reducing market mobility and decreasing business investment. Increased cost of living also lowers consumer confidence and slows economic growth.</p>
    </sec>
    <sec sec-type="Conclusion and policy recommendations" id="sec19">
      <title>Conclusion and policy recommendations</title>
      <p>This study used Bayesian VAR and BGGM techniques to investigate the impact of the BRICS trade agreement on the South African economy over the period from 2009 to 2019. The results provide insights for both researchers and policy makers by investigating the contribution of this agreement to South Africa’s economic growth. Firstly, the study separated the models by examining the impact of BRIC exports and imports on the South African economy. Secondly, the study adopted a robustness model to examine the dependence of the reported results on the adopted model. To strengthen the argument, the author tested the model’s sensitivity by adding more control variables to the system. This was done to see if the results were dependent on the variables included in the system. Contrary to expectations, the BRICS trade agreement has had a positive impact on South Africa’s economy. An unexpected increase in exports, imports, and foreign direct investments from BRIC has led to increased economic growth in South Africa. High house prices, inflation, and unemployment have all been found to hinder the effectiveness of the BRIC trade agreement. These factors are shown to decrease economic growth. The study has also incorporated fiscal policies into the system in order to determine how government spending affected growth. The results show that government expenditure plays a critical role in improving economic growth in South Africa. As documented in the results, the BRICS trade agreement has the potential to significantly boost South Africa’s economic growth. To maximize the benefits of South Africa’s trade relations with the BRIC countries, it is essential to prioritize strategic sectors such as mining, manufacturing, and agriculture. These are areas where demand from China, India, and Brazil is increasing. The government and policymakers should develop policies to improve export competitiveness by reducing trade barriers, promoting local industries capable of meeting the needs of these markets, and investing in infrastructure development.</p>
      <p>Moreover, SA should foster investments from the BRIC countries in areas like renewable energy and technology, stimulating job creation and innovation. It is also crucial for SA to address its domestic challenges that hinder economic growth, such as high unemployment rates, inflation, and high house prices. High unemployment rates limit economic productivity, since a large segment of the population is outside the workforce. This results in underutilization of human capital. Countries with high inflation have their citizens’ purchasing power eroded, lowering their living standards and hindering overall demand in the economy. Lastly, rising house prices decrease affordability, leading to a decrease in disposable income and consumer spending, which can stunt economic growth. South Africa should implement policies that promote job creation by investing in skills development, infrastructure projects, and supporting small and medium-sized businesses. At the same time, it should also focus on providing affordable housing and implementing measures to control inflation in order to counteract negative factors that may hinder economic growth. Effective domestic policies, together with positive impact of the BRICS trade agreement, will foster sustainable and inclusive growth in South Africa.</p>
    </sec>
  </body>
  <back>
    <ack>
      <title>Acknowledgements</title>
      <p>We are thankful for the comments we received from the 2024 Imbali International Conference Department hosted by the University of Zululand (South Africa), as their comments and criticism were invaluable in improving this paper. We would like to express our gratitude to our language editor, Mrs H. Henneke, herminehenneke@gmail.com, for her valuable and consistent input. She works like a machine, and she is able to spot even small mistakes. Thank you so much.</p>
    </ack>
    <ref-list>
      <title>Reference</title>
      <ref id="B1">
        <mixed-citation>Adinda, S. Z., Yusrizal, Y., &amp; Harahap, M. I. (2023). The Effect of Import-Export on Economic Growth in Batam City, Indonesia. <italic>International Journal of Economics Development Research, 4</italic>(2), 1273-1285. <ext-link xlink:href="10.37385/ijedr.v4i3.3967" ext-link-type="doi">https://doi.org/10.37385/ijedr.v4i3.3967</ext-link></mixed-citation>
      </ref>
      <ref id="B2">
        <mixed-citation>Ahmed, S. F., Mohsin, A. K. M., &amp; Hossain, S. F. A. (2023). Relationship between FDI inflows and export performance: An empirical investigation by considering structural breaks. <italic>Economies, 11</italic>(3), 73-90. <ext-link xlink:href="10.3390/economies11030073" ext-link-type="doi">https://doi.org/10.3390/economies11030073</ext-link></mixed-citation>
      </ref>
      <ref id="B3">
        <mixed-citation>Alves, J., &amp; Silva, T. (2020). <italic>An Empirical Assessment of Monetary Policy Channels on Income and Wealth Disparities</italic>. REM Working Paper 0144–2020. <ext-link xlink:href="https://rem.rc.iseg.ulisboa.pt/wps/pdf/REM_WP_0144_2020.pdf" ext-link-type="uri">https://rem.rc.iseg.ulisboa.pt/wps/pdf/REM_WP_0144_2020.pdf</ext-link></mixed-citation>
      </ref>
      <ref id="B4">
        <mixed-citation>Arias, J. E., Rubio‐Ramírez, J. F., &amp; Waggoner, D. F. (2018). Inference Based on Structural Vector Autoregressions Identified with Sign and Zero Restrictions: Theory and Applications. <italic>Econometrica, 86</italic>(2), 685-720. <ext-link xlink:href="10.3982/ECTA14468" ext-link-type="doi">https://doi.org/10.3982/ECTA14468</ext-link></mixed-citation>
      </ref>
      <ref id="B5">
        <mixed-citation>Augustine, B., &amp; Rafi, O. M. (2023). Public debt-economic growth nexus in emerging and developing economies: exploring nonlinearity. <italic>Finance Research Letters, (52)</italic>, 103540. <ext-link xlink:href="10.1016/j.frl.2022.103540" ext-link-type="doi">https://doi.org/10.1016/j.frl.2022.103540</ext-link></mixed-citation>
      </ref>
      <ref id="B6">
        <mixed-citation>Awokuse, T. O. (2007). Causality between exports, imports, and economic growth: Evidence from transition economies<italic>. Economics Letters, 94</italic>(3), 389-395. <ext-link xlink:href="10.1016/j.econlet.2006.08.025" ext-link-type="doi">https://doi.org/10.1016/j.econlet.2006.08.025</ext-link></mixed-citation>
      </ref>
      <ref id="B7">
        <mixed-citation>Bańbura, M., Giannone, D., &amp; Reichlin, L. (2010). Large Bayesian Vector Auto Regressions. <italic>Journal of Applied Econometrics</italic>, (<italic>25)</italic>, 71–92. <ext-link xlink:href="10.1002/jae.1137" ext-link-type="doi">https://doi.org/10.1002/jae.1137</ext-link></mixed-citation>
      </ref>
      <ref id="B8">
        <mixed-citation>Bhagwati, J. N. (1988). Export-promoting trade strategy: issues and evidence. <italic>The World Bank Research Observer</italic>, <italic>3</italic>(1), 27-57. <ext-link xlink:href="10.1093/wbro/3.1.27" ext-link-type="doi">https://doi.org/10.1093/wbro/3.1.27</ext-link></mixed-citation>
      </ref>
      <ref id="B9">
        <mixed-citation>Bittencourt, M., van Renne, E., &amp; Monaheng, S. (2014). <italic>Inflation and Economic Growth: Evidence from the Southern African Development Community</italic>, Ersa working paper 405. <ext-link xlink:href="https://econrsa.org/wp-content/uploads/2022/06/working_paper_405.pdf" ext-link-type="uri">https://econrsa.org/wp-content/uploads/2022/06/working_paper_405.pdf</ext-link></mixed-citation>
      </ref>
      <ref id="B10">
        <mixed-citation>Dhea, K. M., Sibuea, G. R. P., Desy, S. S., Berkat, K. H. L., Sri Nova, T. S., &amp; Feronica, S. (2023). Analysis of the Role of Export-Import in Indonesia: The Positive Impact of Export-Import Activities on Indonesia’s Economic Growth. <italic>Experimental Student Experiences, 1</italic>(7), 2985-3877. <ext-link xlink:href="10.58330/ese.v1i7.268" ext-link-type="doi">https://doi.org/10.58330/ese.v1i7.268</ext-link></mixed-citation>
      </ref>
      <ref id="B11">
        <mixed-citation>Dingela, S., &amp; Ncwadi, R. (2022). A Behaviour of South Africa’s Economy towards Inflows of Foreign Direct Investment (FDI) from Brazil, Russia, India and China (BRICS) Economies. <italic>Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, 75</italic>(2), 89-212.</mixed-citation>
      </ref>
      <ref id="B12">
        <mixed-citation>Doan T., Litterman, R., &amp; Sims, C. (1984). Forecasting and Conditional Projection Using Realistic Prior Distributions. <italic>Econometric Reviews</italic>, 3(1), 1–100. <ext-link xlink:href="10.1080/07474938408800053" ext-link-type="doi">https://doi.org/10.1080/07474938408800053</ext-link></mixed-citation>
      </ref>
      <ref id="B13">
        <mixed-citation>Event, P. M., &amp; Jordaan, A. C. (2024). A causal analysis between exports, imports and GDP per capita in the Southern African Customs Union Countries. <italic>Studies in Economics and Econometrics, 48</italic>(2), 168–185. <ext-link xlink:href="10.1080/03796205.2024.2343723" ext-link-type="doi">https://doi.org/10.1080/03796205.2024.2343723</ext-link></mixed-citation>
      </ref>
      <ref id="B14">
        <mixed-citation>Ezako, J. T. (2023). Analyze of inflation and economic growth relationship in Burundi. <italic>Cogent Economics &amp; Finance</italic>, <italic>11</italic>(1), 2210914. <ext-link xlink:href="10.1080/23322039.2023.2210914" ext-link-type="doi">https://doi.org/10.1080/23322039.2023.2210914</ext-link></mixed-citation>
      </ref>
      <ref id="B15">
        <mixed-citation>Giannone, D., Lenza, M., &amp; Primiceri, G. E. (2015). Prior Selection for Vector Autoregressions. <italic>Review of Economics and Statistics</italic>, 97(2), 436–451. <ext-link xlink:href="10.1162/REST_a_00483" ext-link-type="doi">https://doi.org/10.1162/REST_a_00483</ext-link></mixed-citation>
      </ref>
      <ref id="B16">
        <mixed-citation>Gopane, T. J. (2023). Economic integration and stock market linkages: evidence from South Africa and BRIC. <italic>Journal of Economics, Finance and Administrative Science, 28</italic>(56), 237-256. <ext-link xlink:href="10.1108/JEFAS-11-2021-0232" ext-link-type="doi">https://doi.org/10.1108/JEFAS-11-2021-0232</ext-link></mixed-citation>
      </ref>
      <ref id="B17">
        <mixed-citation>Hjazeen, H., Seraj, M., &amp; Ozdeser, H. (2021). The nexus between the economic growth and unemployment in Jordan. <italic>Future Business Journal</italic>, <italic>7</italic>(1), 42. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.1186/s43093-021-00088-3">https://doi.org/10.1186/s43093-021-00088-3</ext-link></mixed-citation>
      </ref>
      <ref id="B18">
        <mixed-citation>Irwin, D. A. (1996). <italic>Three simple principles of trade policy</italic>. American Enterprise Institute.</mixed-citation>
      </ref>
      <ref id="B19">
        <mixed-citation>Kalai, M., Becha, H., &amp; Kamel, H. (2025). Exploring the Nexus link of foreign direct investment inflows and openness on economic growth: evidence from BRICS Economies. <italic>Journal of East-West Business</italic>, <italic>31</italic>(1), 1-37. <ext-link xlink:href="10.1080/10669868.2024.2372768" ext-link-type="doi">https://doi.org/10.1080/10669868.2024.2372768</ext-link></mixed-citation>
      </ref>
      <ref id="B20">
        <mixed-citation>Kilian L, &amp; Lьtkepohl, H. (2017). <italic>Structural Vector Autoregressive Analysis</italic>. Cambridge University Press.</mixed-citation>
      </ref>
      <ref id="B21">
        <mixed-citation>Kimaro, E. L., Keong, C. C., &amp; Sea, L. L. (2017). Government expenditure, efficiency and economic growth: a panel analysis of Sub-Saharan African low-income countries. <italic>African Journal of Economic Review, V</italic>(II),34-54.</mixed-citation>
      </ref>
      <ref id="B22">
        <mixed-citation>Kuschnig, N., &amp; Vashold, L. (2019). <italic>BVAR: Bayesian Vector Autoregressions with Hierarchical Prior Selection in R</italic>. Department of Economics Working Paper Series 296, WU Vienna University of Economics and Business.</mixed-citation>
      </ref>
      <ref id="B23">
        <mixed-citation>Litterman, R. B. (1980), <italic>A Bayesian Procedure for Forecasting with Vector Autoregressions</italic>. Massachusetts Institute of Technology, Department of Economics.</mixed-citation>
      </ref>
      <ref id="B24">
        <mixed-citation>Makaringe, S. C., &amp; Khabai, C. (2018). <italic>The effect of unemployment on economic growth in South Africa (1994-2016)</italic>. Munich Personal RePEc Archive MPRA Paper No. 85305. <ext-link xlink:href="https://mpra.ub.uni-muenchen.de/85305/" ext-link-type="uri">https://mpra.ub.uni-muenchen.de/85305/</ext-link></mixed-citation>
      </ref>
      <ref id="B25">
        <mixed-citation>Makhoba, B. P., &amp; Zungu, LT. (2021). Foreign Direct Investment and Economic Growth in South Africa: Is there a Mutually Beneficial Relationship? <italic>African Journal of Business and Economic Research, 16</italic>(4), 101.</mixed-citation>
      </ref>
      <ref id="B26">
        <mixed-citation>Makhoba. B. P. (2024). Empirical Analysis of Foreign Direct Investment and Export Performance in South Africa. <italic>African Journal of Business and Economic Research, 19</italic>(1), 199-220.</mixed-citation>
      </ref>
      <ref id="B27">
        <mixed-citation>Malefane, M. R. (2018). <italic>Trade openness and economic growth: experience from three SACU countries</italic>. University of South Africa.</mixed-citation>
      </ref>
      <ref id="B28">
        <mixed-citation>Malefane, M., &amp; Odhiambo, N. (2017). The Dynamics of Trade Openness in South Africa: An Explanatory Review. <italic>International Journal for Quality Research, 11</italic>(4), 887–902. <ext-link xlink:href="10.18421/IJQR11.04-10" ext-link-type="doi">https://doi.org/10.18421/IJQR11.04-10</ext-link></mixed-citation>
      </ref>
      <ref id="B29">
        <mixed-citation>Malik, A. , &amp; Sah, A. N. (2024). Does FDI Impact the Economic Growth of BRICS Economies? Evidence from Bayesian VAR. <italic>Journal of Risk Financial Management, 17</italic>(1), 10. <ext-link xlink:href="10.3390/jrfm17010010" ext-link-type="doi">https://doi.org/10.3390/jrfm17010010</ext-link></mixed-citation>
      </ref>
      <ref id="B30">
        <mixed-citation>Malla, M. H., &amp; Pathranarakul, P. (2022). Fiscal Policy and Income Inequality: The Critical Role of Institutional Capacity. <italic>Economies, (10)</italic>, 115. <ext-link xlink:href="10.3390/economies10050115" ext-link-type="doi">https://doi.org/10.3390/economies10050115</ext-link></mixed-citation>
      </ref>
      <ref id="B31">
        <mixed-citation>Maphaka, D. (2020). Dislocation or Relocation? An Afro-centric analysis of South Africa’s BRICS membership. <italic>Journal of African Union Studies</italic>, <italic>9</italic>(2), 5-24.</mixed-citation>
      </ref>
      <ref id="B32">
        <mixed-citation>Mazenda, A. (2016). <italic>The effect of BRICS trade relations on South Africa’s growth</italic> (No. 11/2016). EERI Research Paper Series.</mixed-citation>
      </ref>
      <ref id="B33">
        <mixed-citation>Mazenda, A., Masiya, T., &amp; Nhede, N. (2018). South Africa-BRIC-SADC trade alliances and the South African economy. <italic>International Studies</italic>, <italic>55</italic>(1), 61-74. <ext-link xlink:href="10.1177/0020881718757589" ext-link-type="doi">https://doi.org/10.1177/0020881718757589</ext-link></mixed-citation>
      </ref>
      <ref id="B34">
        <mixed-citation>Mazenda, A., &amp; Masiya, T. (2021). BRIC bilateral direct foreign investment relations with South Africa: a critical review. <italic>Insight on Africa</italic>, <italic>13</italic>(2), 192-209. <ext-link xlink:href="10.1177/09750878211012881" ext-link-type="doi">https://doi.org/10.1177/09750878211012881</ext-link></mixed-citation>
      </ref>
      <ref id="B35">
        <mixed-citation>Mbangata, T., &amp; Kanayo, O. (2017). A Review of the Macroeconomic Policy Frameworks adopted by the BRICS countries (2000-2015). <italic>Journal of Economics and Behavioral Studies, 9</italic>(3(J), 202-211. <ext-link xlink:href="10.22610/jebs.v9i3(J).1759" ext-link-type="doi">https://doi.org/10.22610/jebs.v9i3(J).1759</ext-link></mixed-citation>
      </ref>
      <ref id="B36">
        <mixed-citation>McCracken, M. W., &amp; Ng, S. (2016). FRED-MD: A Monthly Database for Macroeconomic Research. <italic>Journal of Business &amp; Economic Statistics, (34)</italic>, 574-589. <ext-link xlink:href="10.1080/07350015.2015.1086655" ext-link-type="doi">https://doi.org/10.1080/07350015.2015.1086655</ext-link></mixed-citation>
      </ref>
      <ref id="B37">
        <mixed-citation>Ncube, P., &amp; Cheteni, P. (2015). The Impact of the <italic>BRICS</italic> alliance on South Africa economic growth — a VECM approach. <italic>Banks and Bank Systems, 10</italic>(1), 47-52.</mixed-citation>
      </ref>
      <ref id="B38">
        <mixed-citation>Ndou, E., Gumata, N., &amp; Moletsane, T. (2024). Exchange rate and GDP nexus in South Africa: the disconnect after the 2008 global recession. <italic>SN Bus Econ, (4)</italic>, 21. <ext-link xlink:href="10.1007/s43546-023-00613-2" ext-link-type="doi">https://doi.org/10.1007/s43546-023-00613-2</ext-link></mixed-citation>
      </ref>
      <ref id="B39">
        <mixed-citation>Ngcobo, T. S., Zungu, L. T., &amp; Nkomo, N. Y. (2025). The dynamic effect of public debt on economic growth in the era of macroprudential policy regime: a Bayesian approach. <italic>International Journal of Development Issues, 24</italic>(1), 16-37. <ext-link xlink:href="10.1108/IJDI-07-2023-0188" ext-link-type="doi">https://doi.org/10.1108/IJDI-07-2023-0188</ext-link></mixed-citation>
      </ref>
      <ref id="B40">
        <mixed-citation>Ningsih, S. S., &amp; Harningtias, A. (2023). The Effect of International Trade (Export and Import) on Indonesian Economic Growth 2015 — 2019. <italic>Indonesian Journal of Accounting and Financial Technology, 2</italic>(1), 2964-5573. <ext-link xlink:href="10.55927/crypto.v1i2.4263" ext-link-type="doi">https://doi.org/10.55927/crypto.v1i2.4263</ext-link></mixed-citation>
      </ref>
      <ref id="B41">
        <mixed-citation>Ricardo, D. (1817). <italic>On the principles of political economy and taxation</italic>. John Murray.</mixed-citation>
      </ref>
      <ref id="B42">
        <mixed-citation>Robert E. L. (1988). On the mechanics of economic development. <italic>Journal of Monetary Economics, 22</italic>(1), 3-42. <ext-link xlink:href="10.1016/0304-3932(88)90168-7" ext-link-type="doi">https://doi.org/10.1016/0304-3932(88)90168-7</ext-link></mixed-citation>
      </ref>
      <ref id="B43">
        <mixed-citation>Romer, P. M. (1990). Endogenous technological change. <italic>Journal of political Economy</italic>, <italic>98</italic>(5, Part 2), S71-S102. <ext-link xlink:href="10.1086/261725" ext-link-type="doi">https://doi.org/10.1086/261725</ext-link></mixed-citation>
      </ref>
      <ref id="B44">
        <mixed-citation>Rubio-Ramirez, J. F., Waggoner, D. F., &amp; Zha, T. (2010). Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference. <italic>Review of Economic Studies, (77)</italic>, 665–696. <ext-link xlink:href="10.1111/j.1467-937X.2009.00578.x" ext-link-type="doi">https://doi.org/10.1111/j.1467-937X.2009.00578.x</ext-link></mixed-citation>
      </ref>
      <ref id="B45">
        <mixed-citation>Samuelson, P. A. (1948). International trade and the equalisation of factor prices. <italic>The Economic Journal</italic>, <italic>58</italic>(230), 163-184. <ext-link xlink:href="10.2307/2225933" ext-link-type="doi">https://doi.org/10.2307/2225933</ext-link></mixed-citation>
      </ref>
      <ref id="B46">
        <mixed-citation>Seraj, M., &amp; Coskuner, C. (2021). Real exchange rate effect on economic growth: comparison of fundamental equilibrium exchange rate and Balassa–Samuelson based Rodrik approach. <italic>Journal of Applied Economics, 24</italic>(1), 541–554. <ext-link xlink:href="10.1080/15140326.2021.1977083" ext-link-type="doi">https://doi.org/10.1080/15140326.2021.1977083</ext-link></mixed-citation>
      </ref>
      <ref id="B47">
        <mixed-citation>Sims, C. A., &amp; Zha, T. (1998), Bayesian Methods for Dynamic Multivariate Models. <italic>International Economic Review</italic>, 39(4), 949–968. <ext-link xlink:href="10.2307/2527347" ext-link-type="doi">https://doi.org/10.2307/2527347</ext-link></mixed-citation>
      </ref>
      <ref id="B48">
        <mixed-citation>Sithole, M. S., &amp; Hlongwane, N. W. (2023). <italic>The role of the New Development Bank on Economic growth and Development in the BRICS states</italic>. MPRA Paper 119958, University Library of Munich.</mixed-citation>
      </ref>
      <ref id="B49">
        <mixed-citation>Smith, A. (1776). <italic>The Wealth of Nations</italic>. W. Strahan and T. Cadell.</mixed-citation>
      </ref>
      <ref id="B50">
        <mixed-citation>Sunde, T. (2017). Foreign direct investment, exports, and economic growth: ADRL and causality analysis for South Africa<italic>. Research in International Business and Finance, 41</italic>(1), 434-444. <ext-link xlink:href="10.1016/j.ribaf.2017.04.035" ext-link-type="doi">https://doi.org/10.1016/j.ribaf.2017.04.035</ext-link></mixed-citation>
      </ref>
      <ref id="B51">
        <mixed-citation>United Nations. (2020). <italic>Inequality – Bridging the Divide</italic>. <ext-link xlink:href="https://www.un.org/en/un75/inequality-bridging-divide" ext-link-type="uri">https://www.un.org/en/un75/inequality-bridging-divide</ext-link></mixed-citation>
      </ref>
      <ref id="B52">
        <mixed-citation>World Bank. (2025). <italic>World Development Indicators</italic>. <ext-link xlink:href="http://data.worldbank.org/data-catalog/world-development-indicators" ext-link-type="uri">http://data.worldbank.org/data-catalog/world-development-indicators</ext-link></mixed-citation>
      </ref>
      <ref id="B53">
        <mixed-citation>Zungu, L. T., &amp; Greyling, L. (2022). Government size and economic growth in African emerging economies: does the BARS curve exist? <ext-link xlink:href="https://www.emerald.com/insight/publication/issn/0306-8293" ext-link-type="uri"><italic>International Journal of Social Economics</italic></ext-link>, <italic>49</italic>(3), 356-371. <ext-link xlink:href="10.1108/IJSE-01-2021-0016" ext-link-type="doi">https://doi.org/10.1108/IJSE-01-2021-0016</ext-link></mixed-citation>
      </ref>
    </ref-list>
    <app-group>
      <app id="app1">
        <title>Appendix</title>
        <p>
          <fig id="F6">
            <object-id content-type="doi">10.3897/brics-econ.7.e154361.figure1a</object-id>
            <object-id content-type="arpha">DA057637-28AF-5855-859B-6382AFA29635</object-id>
            <label>Figure 1A.</label>
            <caption>
              <p>Generated impulse responses of economic growth to BRIC trade agreement from the Bayesian VAR. <italic>Source</italic>: Author’s calculation results based on data from WDI (2025)</p>
            </caption>
            <graphic xlink:href="brics-econ-07-177-g006.jpg" id="oo_1559377.jpg">
              <uri content-type="original_file">https://binary.pensoft.net/fig/1559377</uri>
            </graphic>
          </fig>
        </p>
        <p><bold>Data Availability Statement</bold>: Publicly available datasets were analysed in this study. The data can be found at: World Development Indicators [World Development Indicators. 2025. ‘World Bank, Washington, D. C. ’ Available online: http://data.worldbank.org/data-catalog/world-development-indicators (accessed on 2 Februa ry 2025)] WITS (<ext-link ext-link-type="uri" xlink:href="https://wits.worldbank.org/CountryProfile/en/Country/ZAF/Year/2022/tradeFlow/EXPIMP">https://wits.worldbank.org/CountryProfile/en/Country/ZAF/Year/2022/tradeFlow/EXPIMP</ext-link>) (accessed on 5 January 2025)] and UN trade and development (<ext-link ext-link-type="uri" xlink:href="https://unctadstat.unctad.org/datacentre/dataviewer/US.FdiFlowsStock">https://unctadstat.unctad.org/datacentre/dataviewer/US.FdiFlowsStock</ext-link>) (accessed on 27 December 2024)]. Further inquiries can be directed to the corresponding author.</p>
      </app>
    </app-group>
    <fn-group>
      <fn id="en1">
        <p>Code 2 is used in the BVAR code to transform all variables into first differences in accordance with the results of the ADF and PP results of nonstationary.</p>
      </fn>
      <fn id="en2">
        <p>The trace plot, on the other hand, is a time series plot that displays the values of the hyperparameters as the MCMC chain progresses. It allows us to monitor how the chain traverses the parameter space.</p>
      </fn>
      <fn id="en3">
        <p>This Figure presents graphical representations of the density, trace, and hierarchical treatment of hyperparameters. The scrutiny of these density and trace plots serves as an indicator of the convergence achieved in the critical hyperparameters within the estimated BVAR model.</p>
      </fn>
    </fn-group>
  </back>
</article>
