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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Bohr. Fmr.</journal-id>
<journal-title>BOHR International Journal of Finance and Market Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Bohr. Fmr.</abbrev-journal-title>
<issn pub-type="epub">2583-4541</issn>
<publisher>
<publisher-name>BOHR</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.54646/bijfmr.2024.26</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>The nexus between monetary policy and sustainable development goals number ten in Nigeria</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Ja&#x2019;afar</surname> <given-names>Yusuf</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Adamu</surname> <given-names>Abubakar Manu</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Accounting, Faculty of Management Sciences, Federal University of Kashere (FUK)</institution>, <addr-line>Gombe</addr-line>, <country>Nigeria</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Economics, Faculty of Social Sciences, Federal University Lokoja</institution>, <addr-line>Kogi State</addr-line>, <country>Nigeria</country></aff>
<author-notes>
<corresp id="c001">&#x002A;Correspondence: Yusuf Ja&#x2019;afar, <email>jaafaryusuf2015@gmail.com</email></corresp>
<fn fn-type="other" id="fn002"><p><bold><sup>&#x2020;</sup>ORCID:</bold> Yusuf Ja&#x2019;afar <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0002-7090-5070">orcid.org/0000-0002-7090-5070</ext-link></p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>07</month>
<year>2024</year>
</pub-date>
<volume>3</volume>
<issue>1</issue>
<fpage>21</fpage>
<lpage>31</lpage>
<history>
<date date-type="received">
<day>18</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>05</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Ja&#x2019;afar and Adamu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ja&#x2019;afar and Adamu</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/"><p>&#x00A9; The Author(s). 2024 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</p></license>
</permissions>
<abstract>
<p>This study examined the nexus between monetary policy and sustainable development goals number ten in Nigeria from (1987 to 2022). The data for this study were collected from secondary sources, which include World Bank and World Development Indicator online data base, previous studies, as well as journals articles. The estimation techniques used for this study were econometrics tools to run the regression, unit root test, ARDL, Bound Test, and granger causality tests. The results from the study showed that there is combination of I (1) and I (0) among the variables based on the stationarity test conducted. The ARDL test result shows that there is existing of long relationship through the bound test, of F-statistics 5.63 at 10 and 5 per cent respectively. The granger causality test indicated bidirectional causality and no causality relationship among the variables. The results of the short run and long run indicated that the monetary policy has both positive and negative impacts on SDG-10 in Nigeria. The study recommends that the government should consider the inflationary and exchange rates in Nigeria in order to tackle the level of inequality among the citizens. This can be effectively carried out through a stringent price control for goods and services as well as implementing a fixed exchange rate policy that would restrict the ever-declining value of naira relative to dollar exchange rate. If effectively articulated, it will ensure equitable distribution of income and wealth among the citizens in the country. The major scientific novelty introduced in this study is the measurement of inequality using Gini Coefficients based on SDG-10 perspective.</p>
</abstract>
<kwd-group>
<kwd>monetary policy</kwd>
<kwd>reduced inequality</kwd>
<kwd>sustainable development goals</kwd>
<kwd>Nigeria</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="8"/>
<equation-count count="17"/>
<ref-count count="38"/>
<page-count count="11"/>
<word-count count="8591"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>There is a growing body of literature on the causes of income inequality both in developed and in developing countries. Several factors have been considered to be responsible for increasing disparity in the level of income. Such factors range from technological progress, demographics, globalization, structure of the labor market, and structure of the economy (<xref ref-type="bibr" rid="B1">1</xref>). Recently, monetary policy has also been identified as one of the causes of inequality. It has been argued that the distributional effect of monetary policy also affects income inequality; however, the net effect of this policy on income inequality is not clear (<xref ref-type="bibr" rid="B2">2</xref>).</p>
<p>In an attempt to examine the impact of monetary policy on sustainable development goals number ten (SDG-10), Jothr et al. (<xref ref-type="bibr" rid="B3">3</xref>) found that expansionary monetary policy shocks reduce inequality in the U.S. After this pioneering study, Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>) found a contradicting result in the case of Japan. The study reported a positive relationship between expansionary monetary policy shocks and inequality. These two contradicting results set the stage for further investigation of the subject matter. Further, the results of the research could be categorized into four different groups. The first set found out that contractionary monetary policy increases inequality (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B6">6</xref>). And the second set also discovered that contractionary monetary policy decreases income inequality (<xref ref-type="bibr" rid="B7">7</xref>). The third set found out that expansionary monetary policy increases income inequality (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>) while the fourth set finds that expansionary monetary policy reduces income inequality (<xref ref-type="bibr" rid="B10">10</xref>).</p>
<p>Moreover, Toriola et al. (<xref ref-type="bibr" rid="B11">11</xref>) argues that many researchers commit the error of using measures or approach of income inequality that do not capture the distribution of income of the entire population. Such measures use household data that do not represent the income of the top few that control the economy, in peculiar with developing countries. In such a case, the results of the effect of monetary policy shocks on inequality from such data might be misleading. They suggested the use of an income inequality index that covers the whole income distribution of the entire population.</p>
<p>For this reason, this study adds to the body of literature in three different ways. It first validates the truthfulness or falsity of the policy ineffectiveness claim in Nigeria. The second part of the study looks at how Nigerian income inequality is affected by expected and unexpected conventional monetary policy shocks. From the monetary policy function, both expected and unexpected monetary policies are produced. In Nigeria, the short-term interest rate serves as the policy tool and monetary policy is implemented using the Taylor-type reaction function as described by Onwe et al. (<xref ref-type="bibr" rid="B12">12</xref>). Monetary policy expectations are represented by the predictive component of the policy function, while the unexpected is represented by the residual. Last but not least, the study employed the Gini coefficient recommended by Adeleke and Olomola (<xref ref-type="bibr" rid="B13">13</xref>) as a metric of income disparity. The income distribution across the three basic layers&#x2014;upper, middle, and lower&#x2014;of all Nigerian citizens was captured by this measure of income inequality.</p>
<p>It is also imperative to state that there are other measures of monetary policy like the income per capita, wages, salaries among others. This study relies mainly on the Gini coefficient in measuring inequality. This is because it provides a reliable explanation on the different measures of inequality especially in the Nigerian context.</p>
<p>Over the past decades, prominence in ensuring stability of the entire monetary policy has received attention due to several episodes of economic and financial crisis/instability and the severe consequences it has on monetary policy, inequality, economic growth and performance at large. To maintain stability in the monetary policy, financial authorities across the world in collaboration with IMF, ESCB, and WB introduced an initiative focused on a single methodology for the compilation of Financial Soundness Indicators (FSI) as a measure of the stability of an economy&#x2019;s monetary policy. The IMF&#x2019;s FSI aims to provide reliable and dependable financial indicators that are pre-emptive toward unanticipated monetary policy crisis and shocks emanating within or outside the economy (<xref ref-type="bibr" rid="B14">14</xref>).</p>
<p>The Nigerian economy having experienced several periods of financial instability, financial authorities have taken considerable steps and embarked on several reforms toward ensuring a much stable, robust, and viable monetary policy. Some of these were: in the 1990s, capital base requirement in the banking industry was increased, close supervision on non-performing loans among banks was intensified, and regulation on structure and ownership of commercial banks was strengthened. Furthermore, steps toward achieving total independence of the CBN from Federal Ministry of Finance (FMF) were advanced expediting legal proceedings in convicting illicit and fraudulent acts in financial institutions like the Decree No.18 of 1994 on failed banks and recovery of debts particularly on insider abuse in which key officials were alleged to have partaken in. In 2005, the CBN increased the minimum capital base to N25 billion, consolidating financial institutions through the creation of the Financial Intelligence Unit (FIU), and increased e-FASS completion, tightening cooperation with the EFCC, and mergers, and acquisitions. Furthermore, in August 2009, it formed the Monetary Policy Stability Committee (MPSC). Publishing a comprehensive Monetary Stability Report (MSR) every two years is the committee&#x2019;s assigned task (<xref ref-type="bibr" rid="B15">15</xref>).</p>
<p>In spite of the laudable reforms embarked upon to ensure financial stability, while available data suggest relative stability in the monetary policy, the economy still lacks the desired economic growth anticipated by economists and financial authorities (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). Although the Central Bank Nigeria has recorded considerable improvement and stability on inequality in Nigeria in its Monetary Stability Report for the past 5 years (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B18">18</xref>). A plethora of researchers like Nosike and Ojobor (<xref ref-type="bibr" rid="B1">1</xref>), Onwe et al. (<xref ref-type="bibr" rid="B12">12</xref>), Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>), Adeleke and Olomola (<xref ref-type="bibr" rid="B13">13</xref>), George-Anokwuru (<xref ref-type="bibr" rid="B19">19</xref>), Jungo et al. (<xref ref-type="bibr" rid="B15">15</xref>), Oseni and Oyelade (<xref ref-type="bibr" rid="B5">5</xref>), Abdulrahman and Oniyide (<xref ref-type="bibr" rid="B2">2</xref>), Toriola et al. (<xref ref-type="bibr" rid="B11">11</xref>) argued that although there may be relative stability in the sector, the reforms policies are yet to achieve significant contribution to sustained economic growth and development.</p>
<p>Likewise, a study by George-Anokwuru (<xref ref-type="bibr" rid="B19">19</xref>) shows that the monetary policies to stimulate Economic growth and development depend on the health status, soundness, and stability of the inequality level in Nigeria. Hence, this study hopes to add to the lingering debate and take an informed position on the subject. To this end, this study attempted to analyze the nexus between monetary policy and SDG-10 in Nigeria and investigated why despite stability reforms, the Nigerian economy is not able to achieve stable and sustained income inequality in the country. Based on the earlier points highlighted, it is pertinent to ask what is the impact of monetary policy on sustainable development goals number ten in Nigeria?</p>
<p>The broad objective of this study was to ascertain the empirical relationship between monetary policy and inequality in Nigeria. The specific objectives were to:</p>
<list list-type="simple">
<list-item>
<label>(i)</label>
<p>Find out the nature of causality between monetary policy and SDG-10 in Nigeria;</p>
</list-item>
<list-item>
<label>(ii)</label>
<p>Examine whether there is a long-run significant relationship between monetary policy and SDG-10 in Nigeria;</p>
</list-item>
<list-item>
<label>(iii)</label>
<p>Ascertain the impact of monetary policy on SDG-10 in Nigeria.</p>
</list-item>
</list>
<p>Consistent with the research objectives, the following null hypotheses were formulated:</p>
<disp-quote>
<p><italic>H</italic><sub>01:</sub> <italic>There is no causality between monetary policy and SDG-10 in Nigeria;</italic></p>
</disp-quote>
<disp-quote>
<p><italic>H</italic><sub>02</sub>: <italic>There is no significant long-run relationship between monetary policy and SDG-10 in Nigeria;</italic></p>
</disp-quote>
<disp-quote>
<p><italic>H</italic><sub>03</sub>: <italic>Monetary policy has no significant impact on SDG-10 in Nigeria.</italic></p>
</disp-quote>
<p>This study could serve as a morale booster to the government especially in tailoring its monetary policy agenda toward achieving a vibrant, strong, and stable financial system capable of contributing to economic growth, absorbing shocks, efficient allocation of scarce resources, even distribution of income, reducing income disparity (inequality), creating a financial mechanism and framework capable of warning and detecting a possible disruption in the function of the financial system from forces within or outside the economy.</p>
<p>This paper is arranged into five sections. The first section deals with the introduction and contains the background issues of the study and finally, significance of the study. Section two captures the conceptual framework of key ideas embedded in the study and reviews empirical literature as well as the theoretical framework underpinning the variables of the study. Section three presents the methodology of the study including the techniques used for data analysis. Section four deals with the presentation of data, analysis of empirical results, and discussion of findings. Section five is a highlight of the summary, conclusion, and recommendations of the study.</p>
</sec>
<sec id="S2">
<title>Review of empirical studies</title>
<p>Accordingly, extant studies have examined the effects of the types and nature of monetary policy shocks on income inequality. Types of monetary policy shock are expansionary and contractionary shocks. Likewise, monetary policy could either be anticipated or unanticipated. The pioneering study, George-Anokwuru (<xref ref-type="bibr" rid="B19">19</xref>), investigated the effects of the types of monetary policy shocks on consumption and income inequality in the United States. The findings showed that what increases income inequality is contractionary monetary policy. These findings were also backed by the findings of Jungo et al. (<xref ref-type="bibr" rid="B15">15</xref>) using a panel of 32 advanced and developing market countries between 1990 and 2013 and Zungu and Greyling (<xref ref-type="bibr" rid="B14">14</xref>) in Japan between 2002 and 2016. Similarly, Aye et al. (<xref ref-type="bibr" rid="B20">20</xref>) investigated the effectiveness of monetary and fiscal policy shocks on inequality in the face of uncertainty in the United States between 1980 and 2008. The findings also supported the fact that contractionary monetary policy shock increases income inequality in the USA.</p>
<p>Siami-Namini et al. (<xref ref-type="bibr" rid="B7">7</xref>), however, found out on the contrary that contractionary monetary policy shock decreases income inequality in the U.S. In a similar vein, another strand of the empirical literature (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B22">22</xref>) found out that expansionary monetary policy shock increases income inequality in Japan and 12 advanced economies respectively. Contrary to this finding, Hohberger et al. (<xref ref-type="bibr" rid="B10">10</xref>) found an inverse relationship between expansionary monetary policy shock and income inequality in European countries. Moreover, Onwe et al. (<xref ref-type="bibr" rid="B12">12</xref>) studied the effects of monetary policy shock on inequality using a panel of 32 emerging and advanced countries. The study put more emphasis only on the effect of unanticipated shock on inequality, neglecting the anticipated shock. The results showed that unanticipated shock increases inequality over the period under study. Aside from Onwe et al. (<xref ref-type="bibr" rid="B12">12</xref>), the empirical literature on the effects of the nature of monetary policy shocks on income inequality is sparse. This, therefore, calls for further research.</p>
<p>Another important issue raised in the literature is about the measurement of income inequality. Several studies (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>) used Gini coefficient generated from micro-level data. Adeleke and Olomola (<xref ref-type="bibr" rid="B13">13</xref>) cast doubt on the estimates generated from such data because they might not represent the whole population, especially the top one percent that are controlling the economy. This study, therefore, contributes to the extant literature by investigating the impact of anticipated and unanticipated monetary policy in generating income inequality in Nigeria, using the Dynamic Stochastic General Equilibrium approach. This is because income inequality is prominent in developing countries and understanding the impact of these shocks can assist policy makers in curbing its spread. Besides, the study uses the Gini index, generated by World Development Indicator, to measure income inequality in the country. The index measures the extent to which distribution of income among individuals or households within an economy deviates from a perfectly equal distribution.</p>
<p>In particular, households with negative unhedged interest rate exposure typically benefit more from expansionary monetary policy which signify families with more maturing liabilities than maturing assets. There is also evidence of the opposite effect: expansionary monetary policies and low interest rates hurt savers and lenders while favoring borrowers who may come from low-income households (<xref ref-type="bibr" rid="B12">12</xref>). Therefore, the impact of monetary policy on inequality can be unclear. When the income sources of households are taken into account, the relationship becomes even more complicated. Homes for which a wage is the primary source of income will be severely impacted if monitoring policy has an impact on labor income and wages. High-income households with financial wealth will be severely impacted if monetary policy significantly changes asset prices.</p>
<p>Additionally, Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>) look into the possibility that shifts in consumption and income inequality are a result of US monetary policy. George-Anokwuru (<xref ref-type="bibr" rid="B19">19</xref>) identified monetary policy shocks and used household level data from the Consumer Expenditures Survey (CEX) since 1980 at quarterly frequency to construct their various measures of inequality and examine how these measures react to these shocks. According to their findings, US household income, consumption, and wage inequality are all sharply increased by contractionary monetary policy shocks. However, in this study, we, investigated how monetary policy shocks impacted Nigerian earnings, income, and consumption inequality.</p>
<p>Similarly, Toriola et al. (<xref ref-type="bibr" rid="B11">11</xref>) examine the possibility that shifts in consumption and income inequality are a result of U.S monetary policy. Abdulrahman and Oniyide (<xref ref-type="bibr" rid="B2">2</xref>) investigated and identified monetary policy shocks and used household level data from the Consumer Expenditures Survey (CEX) since 1980 at quarterly frequency to construct their various metrics of inequality and examine how these measures react to these shocks. According to the results, contractionary monetary policy increases positively US household income, consumption, and wage inequality. This study investigated how monetary policy shocks impacted Nigerian earnings, income, and consumption inequality.</p>
<p>Many studies have been conducted in the past year using comparable techniques to look into this same problem for different groups of countries. Several studies have reported that monetary contraction increases inequality. These include Nosike and Ojobor (<xref ref-type="bibr" rid="B1">1</xref>) for the Africa and Asian countries, Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>) for developed and emerging countries, and Ovat et al. (<xref ref-type="bibr" rid="B6">6</xref>) for Nigeria, who report an unstable relationship between measures of inequality and changes in monetary policy. Squeezing monetary policy shocks caused an increase in income, consumption, and earnings inequality, according to research using a structural vector auto regression (SVAR). The monetary policy shock significantly influences the historical swings in the inequality measures, and these results hold true for different VAR specifications. To explore potential causes of the rising inequality, data from households at various distribution percentiles were used to estimate the SVAR.</p>
</sec>
<sec id="S3">
<title>Theoretical framework</title>
<p>The classical economists&#x2019; view of monetary policy is based on the quantity theory of money. The quantity theory of money is usually discussed in term of Fisherian equation of exchange, which is given by the expression <bold>MV = PY</bold>. In the expression, M denotes the supply of money over which the Federal Government has some control; V denotes the velocity of circulation which is the average number of times a currency is spent on final goods and services over the course of a year; P denotes the price level. Hence PY represents current nominal GDP. The equation of exchange is an identity that states that the current market value of all final goods and services (nominal GDP) must equal the supply of money multiplied by the average number of times a currency is used in transaction in a given year.</p>
<p>According to the classical economist, real GDP is always at or close to its natural level. They therefore believe that the Y in the equation of exchange is fixed in the short term. They contend further that money tends to circulate at a constant speed in order for V to be considered Fixed as well. Since Y and V are both fixed, any monetary policy, whether expansionary or contractionary, by the Central Bank of Nigeria (CBN) would only have the effect of changing the money supply (M), which in turn would only affect the price level P in direct proportion to the change in M. Put differently, an expansionary monetary policy can only result in inflation, while a contractionary monetary policy can only cause a decrease in the level of prices.</p>
</sec>
<sec id="S4">
<title>Methodology and model specification</title>
<p>The model used in the study is the New Keynesian model with standard Calvo sticky price and no capital, as it was examined in the works of Nosike and Ojobor (<xref ref-type="bibr" rid="B1">1</xref>), Adeleke and Olomola (<xref ref-type="bibr" rid="B13">13</xref>), George-Anokwuru (<xref ref-type="bibr" rid="B19">19</xref>), Jothr et al. (<xref ref-type="bibr" rid="B3">3</xref>), and Toriola et al. (<xref ref-type="bibr" rid="B11">11</xref>), Apanisile and Osinubi (<xref ref-type="bibr" rid="B25">25</xref>), and Akinlo and Apanisile (<xref ref-type="bibr" rid="B26">26</xref>). The fundamental tenets of the model are sticky prices, which make it challenging for all firms to adjust their prices at once, and imperfect competition, which is predicated on the idea that firms produce heterogeneous goods. The government, business, and household are important entities in the model. Household: The model assumes a set of identical, infinitely-lived households that aim to maximize the following while making decisions about demand, money, bonds, and labor supply, as well as consumption and labor supply.</p>
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</mml:math>
</disp-formula>
<p>where <italic>C</italic><sub><italic>t</italic></sub> (<italic>i</italic>) represents the quantity of good i consumed by the household in period t, for I &#x2208; [0,1] for t = 0, 1, 2, &#x2026;., <italic>Pt</italic> (<italic>i</italic>) is the price of good i, <italic>Nt</italic> denotes hours of work, <italic>W</italic><sub><italic>t</italic></sub> is the nominal wage, <italic>Bt</italic> represents purchases of one-period bonds at a price <italic>Qt</italic>, <italic>B</italic><sub><italic>t</italic>&#x2013;1</sub> is the number of bonds purchased last year, <italic>M</italic><sub><italic>t</italic></sub> is money holding, and <italic>J</italic><sub><italic>t</italic></sub> is a lump-sum component of income. &#x2208; measures the inter temporal elasticity of substitution between the differentiated goods, which is equal to the price elasticity of demand. Using the Kuhn-Tucker approach to obtain FOC conditions of equations (1) and (2) and re-arrange, we have:</p>
<disp-formula id="S4.E3">
<label>(3)</label>
<mml:math id="M3">
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
</mml:math>
</disp-formula>
<p>Equations (3), (4), and (5) determine the inter temporal consumption allocation (the Euler equation), the labor-leisure choice, and the money demand, respectively. The equations determine the rational forward-looking household&#x2019;s allocation decision.</p>
<disp-formula id="S4.E4">
<label>(4)</label>
<mml:math id="M4">
<mml:mrow>
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<disp-formula id="S4.E5">
<label>(5)</label>
<mml:math id="M5">
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<mml:mo rspace="5.8pt">=</mml:mo>
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</mml:math>
</disp-formula>
<p>Secondary data used in this study were sourced from the Central Bank of Nigeria (CBN) statistical bulletin (2022) and the World Bank Data Indicators (WDI) online data base. A number of data points were acquired, including the GDP, trade openness (TOP), domestic inflation rate (DINR), nominal interest rate (NINT), nominal exchange rate (NEXR), and Gini index (GID). The methodology used in this study to arrive at the parsimonious model of the study over a thirty-six-year period (1987&#x2013;2022) is explained clearly. The model has the following specifications:</p>
<disp-formula id="S4.E7">
<label>(7)</label>
<mml:math id="M7">
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</disp-formula>
<disp-formula id="S4.Ex1">
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</mml:math>
</disp-formula>
<p>Where:</p>
<p><italic>GDP = Gross Domestic Product; RINR = Real Interest Rate; OEXR = Official Exchange Rate; DINF = Domestic Inflation; TOT = Term of Trade; GDI = Gini Index; &#x03B2;<sub>0</sub>, &#x03B2;<sub>1,</sub> &#x03B2;<sub>2</sub>, &#x03B2;<sub>3,</sub> &#x03B2;<sub>4,</sub> &#x03B2;<sub>5</sub></italic> = Slopes of the regressions; &#x03BC;<sub><italic>t</italic></sub> = Error term</p>
<p><bold>A prior Expectation</bold></p>
<disp-formula id="S4.Ex2"><mml:math id="M10">
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<mml:mo rspace="7.5pt">,</mml:mo>
<mml:mrow>
<mml:mrow>
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<mml:mo>,</mml:mo>
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</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
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</mml:math>
</disp-formula>
<p>Based on the aforementioned, the details of the variables measurement and their sources have been depicted under <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Variables measurements and sources.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Variables</td>
<td valign="top" align="left">Description</td>
<td valign="top" align="left">Sources</td>
<td valign="top" align="left">A priori Sign</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Gross Domestic Product (GDP)</td>
<td valign="top" align="left">The GDP figures in this indicator are expressed in current international dollars and are converted using a purchasing power parity (PPP) conversion factor. GDP is the total of the gross value added by all of the nation&#x2019;s resident producers plus any product taxes and less any subsidies that are not factored into the product value. The PPP conversion factor is a currency converter and spatial price deflator that removes the impact of regional price disparities. In order to align the underlying GDP in local currency units with the time series of PPP conversion factors for GDP, which are extrapolated using linked GDP deflators, as of April 2020, the term &#x201C;GDP: linked series (current LCU)&#x201D; is used.</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>) online data base, Liu and Zhang (<xref ref-type="bibr" rid="B38">38</xref>)</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Real Interest Rate (RINR)</td>
<td valign="top" align="left">When the GDP deflator is used to measure inflation, the lending interest rate becomes the real interest rate. But lending rates are not comparable across nations because of the terms and conditions attached to them.</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>)</td>
<td valign="top" align="left">+</td>
</tr>
<tr>
<td valign="top" align="left">Official Exchange Rate (OEXR)</td>
<td valign="top" align="left">Official exchange rate refers to the exchange rate determined by national authorities or to the rate determined in the legally sanctioned exchange market. It is calculated as an annual average based on monthly averages (local currency units relative to the U.S. dollar).</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>).</td>
<td valign="top" align="left">+</td>
</tr>
<tr>
<td valign="top" align="left">Domestic Inflation Rate (DIFR)</td>
<td valign="top" align="left">The consumer price index, which measures inflation, shows the annual percentage change in the average consumer&#x2019;s cost of purchasing a basket of goods and services. This cost can be fixed or vary at predetermined intervals, like annually. Typically, one applies the Laspeyres formula.</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>).</td>
<td valign="top" align="left">+</td>
</tr>
<tr>
<td valign="top" align="left">Term of Trade (TOT)</td>
<td valign="top" align="left">The terms of trade effect equal capacity to import less exports of goods and services in constant prices. Data are in constant local currency.</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>).</td>
<td valign="top" align="left">+</td>
</tr>
<tr>
<td valign="top" align="left">Gini Index (GDI)</td>
<td valign="top" align="left">Gini index measures the extent to which the distribution of income (or, in some cases, consumption expenditure) among individuals or households within an economy deviates from a perfectly equal distribution. A Lorenz curve plots the cumulative percentages of total income received against the cumulative number of recipients, starting with the poorest individual or household. The Gini index is a percentage of the maximum area under the line that represents the area, in this case, between the Lorenz curve and a hypothetical line of absolute equality. Perfect equality is thus represented by a Gini index of 0, whereas perfect inequality is implied by an index of 100.</td>
<td valign="top" align="left">World Bank Development Indicator [WDI] (<xref ref-type="bibr" rid="B37">37</xref>).</td>
<td valign="top" align="left">+</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><bold>Source:</bold> Authors&#x2019; Compilation.</p></fn>
</table-wrap-foot>
</table-wrap>
<sec id="S4.SS1">
<title>Unit root test</title>
<p>The Augmented Dickey-Fuller (ADF) test, created by Dickey Fuller (<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B28">28</xref>), is the unit root test procedure used in this investigation. In order to pass the ADF test, the alternative hypothesis that the series are stationary must be rejected in Favor of the null hypothesis that the unit root is non-stationary (<xref ref-type="bibr" rid="B29">29</xref>). For every series, there was no deterministic trend observed during the testing. Thus, the ADF test can be expressed generally as follows:</p>
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<p>where: y is a time series, t is a linear time trend, &#x0394; is the difference operator, &#x03B2;<sub><italic>o</italic></sub> is a constant, n is the optimum number of lags in the dependent variable, and &#x03B5;<sub><italic>t</italic></sub> is the error time t.</p>
</sec>
<sec id="S4.SS2">
<title>Autoregressive Distributed Lag (ARDL)</title>
<p>ARDL is a mixed-order integration technique that can be used or applied to both non-stationary and stationary data using the ordinary least squares (OLS) techniques. In order to capture the data generation process in a macro to individual modeling framework, this approach employed a sufficient number of lags (<xref ref-type="bibr" rid="B30">30</xref>). An easy linear transformation from the ARDL model yields the dynamic error correction model (ECM). In the same vein, the error correctional model (ECM) takes all along the long-run equilibrium relationship along with the short-run dynamics relationship. The test is based on the Wald known as F-statistic in a Generalized Dickey-Fuller type regression, which is used to test the significance of lags levels of the variables being considered in a conditional unrestricted equilibrium correction model (UECM), accordingly by Akpan and Akpan (<xref ref-type="bibr" rid="B31">31</xref>).</p>
<p>Presented below is the general form of the Autoregressive Distributed Lag (ARDL) bounds testing model.</p>
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<p>The error correction version of the Autoregressive Distributed Lag (ARDL) bounds testing model is expressed as:</p>
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<p>The first part of equation (v) with <italic>&#x03B2;</italic>, &#x03B4;, and &#x2208; denotes short-run dynamics of the model while the second part with &#x03BB;s represents long-run relationship. The null hypothesis that guides the ARDL approach is &#x03BB;<sub>1</sub> + &#x03BB;<sub>2</sub> + &#x03BB;<sub>3</sub> = 0, which implies non-existence of long-run relationship.</p>
</sec>
<sec id="S4.SS3">
<title>Granger causality test</title>
<p>A variable x is said to Granger cause another variable y if past values of x help predict the current level of y given all other appropriate information</p>
<p>The granger causality test in relation to this research work is given as follows:</p>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.E13">
<mml:math id="M19">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mi>X</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.Ex6">
<label>(14)</label>
<mml:math id="M20">
<mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mi>F</mml:mi>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
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<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
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<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.E14">
<mml:math id="M21">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mi>X</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.Ex7">
<label>(15)</label>
<mml:math id="M22">
<mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>X</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mi>R</mml:mi>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.E15">
<mml:math id="M23">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>E</mml:mi>
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<mml:mi>X</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.Ex8">
<label>(16)</label>
<mml:math id="M24">
<mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mi>T</mml:mi>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
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<mml:msub>
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<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x03A3;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mn>3</mml:mn>
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</mml:mrow>
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</mml:math>
</disp-formula>
<disp-formula id="S4.E16">
<mml:math id="M25">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mi>F</mml:mi>
<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mi>X</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:msub>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:mn>1</mml:mn>
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</mml:math>
</disp-formula>
<disp-formula id="S4.Ex9">
<label>(17)</label>
<mml:math id="M26">
<mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
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<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mn>1</mml:mn>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mn>1</mml:mn>
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</mml:math>
</disp-formula>
<disp-formula id="S4.E17">
<mml:math id="M27">
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</disp-formula>
</sec>
<sec id="S4.SS4">
<title>Decision rule</title>
<p>The decision rule for the causality model is the test of the null hypothesis that estimated coefficient is zero at the appropriate level of significance where at least four null hypotheses will either be rejected or accepted.</p>
</sec>
</sec>
<sec id="S5">
<title>Data analysis and interpretation</title>
<p>This section deals with the data analysis and interpretation in respect of the variables used in the study. The variables comprises of the Gross Domestic Product (GDP), Real Interest Rate (RINR), Official Exchange Rate (OEXR), Domestic Inflation (DINF), Term of Trade (TOT) and Gini Index (GDI).</p>
<sec id="S5.SS1">
<title>Unit root test</title>
<p>In order to prevent the spurious regression results that are typical of time series data that are non-stationary, Gujarati (<xref ref-type="bibr" rid="B32">32</xref>) suggested carrying out a stationarity test on them. Both the Phillips-Peron (PP) and Augmented Dickey-Fuller (ADF) unit toot tests were used to test the variables at both the level and first difference. The results of the ADF test at levels indicated that some of the variables were stationary at that level, whereas the PP test generally indicated that the variable was non-stationary at that level. Since the PP test&#x2019;s results are valid even in cases of serial correlation and heterogeneity&#x2014;a characteristic that the non-parametric ADF test lacks&#x2014;it was chosen to supplement the latter. The results obtained are summarized in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Unit Root Test.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Variables</td>
<td valign="top" align="center">At level</td>
<td valign="top" align="center">Prob.</td>
<td valign="top" align="center">1st difference</td>
<td valign="top" align="center">Prob.</td>
<td valign="top" align="center">Order of integration</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="6"><bold>Augmented Dickey Fuller (ADF) Test</bold></td>
</tr>
<tr>
<td valign="top" align="left">GDP</td>
<td valign="top" align="center">&#x2212;1.0846</td>
<td valign="top" align="center">0.7105</td>
<td valign="top" align="center">&#x2212;3.0570</td>
<td valign="top" align="center">0.0396<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">1(1)</td>
</tr>
<tr>
<td valign="top" align="left">GDI</td>
<td valign="top" align="center">&#x2212;1.4373</td>
<td valign="top" align="center">0.5529</td>
<td valign="top" align="center">&#x2212;5.0948</td>
<td valign="top" align="center">0.0002<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">1(1)</td>
</tr>
<tr>
<td valign="top" align="left">DINF</td>
<td valign="top" align="center">4.6285</td>
<td valign="top" align="center">1.0000</td>
<td valign="top" align="center">&#x2212;2.0742</td>
<td valign="top" align="center">0.2557</td>
<td valign="top" align="center">1(1)</td>
</tr>
<tr>
<td valign="top" align="left">OEXR</td>
<td valign="top" align="center">1.8132</td>
<td valign="top" align="center">0.9996</td>
<td valign="top" align="center">&#x2212;3.9883</td>
<td valign="top" align="center">0.0041<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">1(1)</td>
</tr>
<tr>
<td valign="top" align="left">RINT</td>
<td valign="top" align="center">&#x2212;3.1695</td>
<td valign="top" align="center">0.0306<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">&#x2212;6.2757</td>
<td valign="top" align="center">0.0000<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">1(0)</td>
</tr>
<tr>
<td valign="top" align="left">TOT</td>
<td valign="top" align="center">&#x2212;0.8925</td>
<td valign="top" align="center">0.7788</td>
<td valign="top" align="center">&#x2212;5.9344</td>
<td valign="top" align="center">0.0000<xref ref-type="table-fn" rid="t2fns1">&#x002A;&#x002A;&#x002A;</xref></td>
<td valign="top" align="center">1(1)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="t2fns1"><p>(&#x002A;) indicates significant at the 10%, (&#x002A;&#x002A;) significant at the 5% and (&#x002A;&#x002A;&#x002A;) significant at the 1% Source: Computed by the author using EViews 10.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>The unit root results presented in <xref ref-type="table" rid="T2">Table 2</xref> show that all the variables are stationary at after first difference except Real interest rate (RINT) that was stationary at level and at 1% level of significance. This implies that the variables are integrated of order I (0) and I (1) using the ADF. This is because the test statistics of all the variables at first difference are greater than their critical values at 5 per cent and 1 per cent levels of significance. Consequently, ARDL bounds test for Cointegration was deemed appropriate to check for the long-run relationship among the variables in the models used in this study.</p>
</sec>
<sec id="S5.SS2">
<title>VAR lag order selection criteria</title>
<p>Before testing for the long-run relationship among the variables, the study tested for the optimum lags to be used in the ARDL bounds test and its short- and long-run estimates using the VAR lag order selection criteria. The results obtained are presented in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Lag selection criteria.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><italic> Lag</italic></td>
<td valign="top" align="center"><italic>LogL</italic></td>
<td valign="top" align="center"><italic>LR</italic></td>
<td valign="top" align="center"><italic>FPE</italic></td>
<td valign="top" align="center"><italic>AIC</italic></td>
<td valign="top" align="center"><italic>SC</italic></td>
<td valign="top" align="center"><italic>HQ</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">0</td>
<td valign="top" align="center">&#x2212;1949.445</td>
<td valign="top" align="center">NA</td>
<td valign="top" align="center">3.63e+42</td>
<td valign="top" align="center">115.0262</td>
<td valign="top" align="center">115.2955</td>
<td valign="top" align="center">115.1180</td>
</tr>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">&#x2212;1724.059</td>
<td valign="top" align="center">357.9663<xref ref-type="table-fn" rid="t3fns1">&#x002A;</xref></td>
<td valign="top" align="center">5.47e+37<xref ref-type="table-fn" rid="t3fns1">&#x002A;</xref></td>
<td valign="top" align="center">103.8858<xref ref-type="table-fn" rid="t3fns1">&#x002A;</xref></td>
<td valign="top" align="center">105.7713<xref ref-type="table-fn" rid="t3fns1">&#x002A;</xref></td>
<td valign="top" align="center">104.5288<xref ref-type="table-fn" rid="t3fns1">&#x002A;</xref></td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">&#x2212;1695.210</td>
<td valign="top" align="center">35.63663</td>
<td valign="top" align="center">1.03e+38</td>
<td valign="top" align="center">104.3065</td>
<td valign="top" align="center">107.8081</td>
<td valign="top" align="center">105.5006</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="t3fns1"><p>&#x002A;Indicates lag order selected by the criterion. LR, sequential modified LR test statistic (each test at 5% level); FPE, Final prediction error; AIC, Akaike information criterion; SC, Schwarz information criterion; HQ, Hannan-Quinn information criterion. Source: E-Views Output Results, (2023).</p></fn>
</table-wrap-foot>
</table-wrap>
<p>From <xref ref-type="table" rid="T3">Table 3</xref>, the different criteria suggested different optimum lags that can be used for the specified output. Sequential Modified LR test statistic (LR) chooses 2 lags, Final Prediction Error (FPE) and Akaike Information Criterion (AIC) picked 1 lag out of a maximum of 3 lags while Schwarz Information Criterion (SC) chooses lag 1 and Hanna-Quinn Information Criterion, out a maximum of 2 lags. If there are limited observations in the ARDL model, it is often advised to use the Akaike Selection Criterion (AIC) in selecting the optimum lag length. Thus, this study used 1 lag to determine the long-run relationship among the variables in the output equation.</p>
</sec>
<sec id="S5.SS3">
<title>ARDL bounds test for cointegration</title>
<p>Having established the order of integration and the maximum lags to be used in the equations adopted for this study, it went further to ascertain if there is a long-run relationship among the variables using autoregressive distributed lag (ARDL) bounds testing approach. The results obtained are presented in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>ARDL Bounds Test.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Test statistic</td>
<td valign="top" align="center">Value</td>
<td valign="top" align="center"><italic>K</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">F-statistic</td>
<td valign="top" align="center">5.633258</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left" colspan="3"><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><bold>Critical value bounds</bold></td>
<td/>
</tr>
<tr>
<td valign="top" align="left" colspan="3"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>Significance level</bold></td>
<td valign="top" align="center"><bold>I(0) Bound</bold></td>
<td valign="top" align="center"><bold>I(1) Bound</bold></td>
</tr>
<tr>
<td valign="top" align="left" colspan="3"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">10%</td>
<td valign="top" align="center">2.08</td>
<td valign="top" align="center">3.2</td>
</tr>
<tr>
<td valign="top" align="left">5%</td>
<td valign="top" align="center">2.39</td>
<td valign="top" align="center">3.38</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Computed by the author using EViews 10.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="T4">Table 4</xref> shows the results of the ARDL bounds test for cointegration for human capital development, poverty, and inequality in Nigeria. The first step in this procedure is to compare the value of the calculated f-statistic and critical value bounds. From <xref ref-type="table" rid="T4">Table 4</xref>, the estimated f-statistic of 4.456343 calculated at k = 3 (number of explanatory variables) and the estimated exceeds the upper critical bounds at 10 and 5 per cent levels of significance, respectively. Hence, the null hypotheses that no long-run relationship among the variables are also rejected. This implies that there is a long-run association between the variables. The next step is to investigate the short and long-run association of monetary policy on inequality in Nigeria.</p>
</sec>
<sec id="S5.SS4">
<title>ARDL short-run</title>
<p>The short-run estimate coefficient in <xref ref-type="table" rid="T5">Table 5</xref> reveals that negative sign of Domestic inflation (DINF) 1 per cent increase will decrease the Gross Domestic Product (GDP) at 10 per cent level of significance, the positive sign of official exchange rate (OEXR) (&#x2212;1) 1 per cent increase will increase the Gross Domestic Product (GDP), and is statistically significant at 5 per cent level of significance in the short-run. This indicates that the two variables play a vital role in the impact of monetary policy on inequality in Nigeria. This study is in line with the study of Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>), Apanisile (<xref ref-type="bibr" rid="B33">33</xref>), Gidigbi (<xref ref-type="bibr" rid="B17">17</xref>), but contrary to the study of Kuhelika and Venoo (<xref ref-type="bibr" rid="B34">34</xref>).</p>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>Results of estimated short- run coefficients using ARDL approach ARDL, (1, 0, 0, 1, 0, 0) selected based on Akaike information criterion.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Variable</td>
<td valign="top" align="center">Coefficient</td>
<td valign="top" align="center">Std. error</td>
<td valign="top" align="center">t-Statistic</td>
<td valign="top" align="center">Prob.<xref ref-type="table-fn" rid="t5fns1">&#x002A;</xref></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GDP(-1)</td>
<td valign="top" align="center">1.07403</td>
<td valign="top" align="center">0.050113</td>
<td valign="top" align="center">21.89872</td>
<td valign="top" align="center">0.0000</td>
</tr>
<tr>
<td valign="top" align="left">GDI</td>
<td valign="top" align="center">92.9744</td>
<td valign="top" align="center">474.2252</td>
<td valign="top" align="center">0.194628</td>
<td valign="top" align="center">0.8471</td>
</tr>
<tr>
<td valign="top" align="left">DINF</td>
<td valign="top" align="center">&#x2212;21.9398</td>
<td valign="top" align="center">140.1407</td>
<td valign="top" align="center">&#x2212;1.797764</td>
<td valign="top" align="center">0.0834</td>
</tr>
<tr>
<td valign="top" align="left">OEXR</td>
<td valign="top" align="center">&#x2212;13.7993</td>
<td valign="top" align="center">85.95369</td>
<td valign="top" align="center">&#x2212;1.323960</td>
<td valign="top" align="center">0.1966</td>
</tr>
<tr>
<td valign="top" align="left">OEXR(-1)</td>
<td valign="top" align="center">25.9735</td>
<td valign="top" align="center">121.5436</td>
<td valign="top" align="center">2.270571</td>
<td valign="top" align="center">0.0314</td>
</tr>
<tr>
<td valign="top" align="left">RINT</td>
<td valign="top" align="center">&#x2212;23.8713</td>
<td valign="top" align="center">899.5924</td>
<td valign="top" align="center">&#x2212;0.237742</td>
<td valign="top" align="center">0.8139</td>
</tr>
<tr>
<td valign="top" align="left">TOT</td>
<td valign="top" align="center">1.92E&#x2212;10</td>
<td valign="top" align="center">5.08E&#x2212;10</td>
<td valign="top" align="center">0.377819</td>
<td valign="top" align="center">0.7085</td>
</tr>
<tr>
<td valign="top" align="left">C</td>
<td valign="top" align="center">&#x2212;21411.10</td>
<td valign="top" align="center">21896.24</td>
<td valign="top" align="center">&#x2212;0.977844</td>
<td valign="top" align="center">0.3368</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="t5fns1"><p>Computed by the author using EViews 10. Autoregressive Distributed Lag - Short-Run.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="T6">Table 6</xref> shows that the long-run coefficient of the negative Domestic Inflation (DINF) with (&#x2212;21.9398) 1 per cent decrease will decrease the Domestic Inflation with &#x2212;21 per cent and is statistically significant at 10 per cent, the positive sign of official exchange rate (OEXR) 1 per cent increase will increase the domestic product (GDP) at 10 per cent and is statistically significance at 10 per cent in the long-run. This indicates that the inflation and exchange rate play a vital role in influencing the impact of monetary policy on inequality in Nigeria. The study is in line with the work of Nosike and Ojobor (<xref ref-type="bibr" rid="B1">1</xref>), Abdulrahman and Oniyide (<xref ref-type="bibr" rid="B2">2</xref>), Khan and Khan (<xref ref-type="bibr" rid="B4">4</xref>), and Voinea and Mihaescu (<xref ref-type="bibr" rid="B35">35</xref>) although the finding is contrary to the work of Olamide et al. (<xref ref-type="bibr" rid="B36">36</xref>), who documented that inflation rate and exchange rate have no significant influence on inequality in Nigeria.</p>
<table-wrap position="float" id="T6">
<label>TABLE 6</label>
<caption><p>Results of estimated long- run coefficients using ARDL approach ARDL, (1, 0, 0, 1, 0, 0) selected based on Akaike information criterion.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="5">Conditional Error Correction Regression</td>
</tr>
<tr>
<td valign="top" align="left">Variable</td>
<td valign="top" align="center">Coefficient</td>
<td valign="top" align="center">Std. Error</td>
<td valign="top" align="center">t-Statistic</td>
<td valign="top" align="center">Prob.</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">C</td>
<td valign="top" align="center">&#x2212;21411.10</td>
<td valign="top" align="center">21896.24</td>
<td valign="top" align="center">&#x2212;0.977844</td>
<td valign="top" align="center">0.3368</td>
</tr>
<tr>
<td valign="top" align="left">GDP(&#x2212;1)</td>
<td valign="top" align="center">0.097403</td>
<td valign="top" align="center">0.050113</td>
<td valign="top" align="center">1.943687</td>
<td valign="top" align="center">0.0624</td>
</tr>
<tr>
<td valign="top" align="left">GDI</td>
<td valign="top" align="center">92.29744</td>
<td valign="top" align="center">474.2252</td>
<td valign="top" align="center">0.194628</td>
<td valign="top" align="center">0.8471</td>
</tr>
<tr>
<td valign="top" align="left">DINF</td>
<td valign="top" align="center">&#x2212;21.9398</td>
<td valign="top" align="center">140.1407</td>
<td valign="top" align="center">&#x2212;1.797764</td>
<td valign="top" align="center">0.0834</td>
</tr>
<tr>
<td valign="top" align="left">OEXR(&#x2212;1)</td>
<td valign="top" align="center">12.1743</td>
<td valign="top" align="center">88.27781</td>
<td valign="top" align="center">1.837090</td>
<td valign="top" align="center">0.0772</td>
</tr>
<tr>
<td valign="top" align="left">RINT</td>
<td valign="top" align="center">&#x2212;23.8713</td>
<td valign="top" align="center">899.5924</td>
<td valign="top" align="center">&#x2212;0.237742</td>
<td valign="top" align="center">0.8139</td>
</tr>
<tr>
<td valign="top" align="left">TOT</td>
<td valign="top" align="center">1.92E&#x2212;10</td>
<td valign="top" align="center">5.08E&#x2212;10</td>
<td valign="top" align="center">0.377819</td>
<td valign="top" align="center">0.7085</td>
</tr>
<tr>
<td valign="top" align="left">D(OEXR)</td>
<td valign="top" align="center">&#x2212;13.7993</td>
<td valign="top" align="center">85.95369</td>
<td valign="top" align="center">&#x2212;1.323960</td>
<td valign="top" align="center">0.1966</td>
</tr>
</tbody>
</table></table-wrap>
<p>Based on the result in <xref ref-type="table" rid="T7">Table 7</xref> in respect of of the pairwise granger causality, it shows that domestic inflation is a cause of gross domestic product. However, as shown by the probability values 0.0037 and 0.4431, gross domestic product does not granger cause domestic inflation at the five percent significance level. The relationship between the gross domestic product and domestic inflation is therefore unidirectional. GDP also granger causes term of trade. As shown by the probability values 0.0299 and 0.0309, term of trade does not, however, granger cause domestic product at the five percent significance level. As a result, the term of trade and gross domestic product have a bidirectional causal relationship. The official exchange rate has no bearing on the Gini index. The probability values 0.0673 and 0.6505 also show that the official exchange rate does not granger cause the Gini Index at the 10 percent significance level. The official exchange rate and the Gini index are therefore bidirectionally causal.</p>
<table-wrap position="float" id="T7">
<label>TABLE 7</label>
<caption><p>Granger Causality Test.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Null hypothesis:</td>
<td valign="top" align="center">Obs</td>
<td valign="top" align="center">F-statistic</td>
<td valign="top" align="center">Prob.</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">DINF does not Granger Cause GDP</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">0.83717</td>
<td valign="top" align="center">0.4431</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">GDP does not Granger Cause DINF</td>
<td valign="top" align="center">6.84761</td>
<td valign="top" align="center">0.0037</td>
</tr>
<tr>
<td valign="top" align="left">TOT does not Granger Cause GDP</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">3.97225</td>
<td valign="top" align="center">0.0299</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">GDP does not Granger Cause TOT</td>
<td valign="top" align="center">3.92989</td>
<td valign="top" align="center">0.0309</td>
</tr>
<tr>
<td valign="top" align="left">OEXR does not Granger Cause GDI</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">2.96663</td>
<td valign="top" align="center">0.0673</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">GDI does not Granger Cause OEXR</td>
<td valign="top" align="center">0.43677</td>
<td valign="top" align="center">0.6503</td>
</tr>
<tr>
<td valign="top" align="left">RINT does not Granger Cause GDI</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">0.10882</td>
<td valign="top" align="center">0.8973</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">GDI does not Granger Cause RINT</td>
<td valign="top" align="center">2.81636</td>
<td valign="top" align="center">0.0762</td>
</tr>
<tr>
<td valign="top" align="left">OEXR does not Granger Cause DINF</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">2.45631</td>
<td valign="top" align="center">0.1034</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">DINF does not Granger Cause OEXR</td>
<td valign="top" align="center">4.60946</td>
<td valign="top" align="center">0.0183</td>
</tr>
<tr>
<td valign="top" align="left">TOT does not Granger Cause DINF</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">0.71700</td>
<td valign="top" align="center">0.4967</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">DINF does not Granger Cause TOT</td>
<td valign="top" align="center">3.62161</td>
<td valign="top" align="center">0.0394</td>
</tr>
<tr>
<td valign="top" align="left">TOT does not Granger Cause OEXR</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">3.47201</td>
<td valign="top" align="center">0.0445</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">OEXR does not Granger Cause TOT</td>
<td valign="top" align="center">1.41946</td>
<td valign="top" align="center">0.2582</td>
</tr>
<tr>
<td valign="top" align="left">TOT does not Granger Cause RINT</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">0.92372</td>
<td valign="top" align="center">0.4084</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2">RINT does not Granger Cause TOT</td>
<td valign="top" align="center">0.13463</td>
<td valign="top" align="center">0.8746</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Source: Authors&#x2019; computation using E-views 10.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>Real interest rate does not granger cause Gini Index. Similarly, Gini index does not granger cause real interest rate at 5% level of significance as indicated by the probability values 0.0762 and 0.8973. Thus, there is unidirectional causality between real interest rate and Gini Index.</p>
<p>Official exchange rate granger causes domestic inflation. However, official exchange rate does not granger cause domestic inflation at 5% level of significance as indicated by the probability values 0.0183 and 0.1034. Thus, there is a unidirectional causality from official exchange rate to domestic inflation.</p>
<p>Official exchange rate granger causes Domestic Inflation. However, official exchange rate does not granger cause domestic inflation at 5% level of significance as indicated by the probability values 0.0183 and 0.1034. Thus, there is a unidirectional causality from official exchange rate to domestic inflation.</p>
<p>Term of trade granger causes Domestic Inflation. However, term of trade rate does not granger cause domestic inflation at 5% level of significance as indicated by the probability values 0.4967 and 0.0394. Thus, there is a unidirectional causality from domestic inflation to term of trade.</p>
<p>Term of trade granger causes official exchange rate. However, term of trade rate does not granger cause official exchange rate at 5% level of significance as indicated by the probability values 0.0445 and 0.2582. Thus, there is a unidirectional causality from term of trade to official exchange rate.</p>
<p>Term of trade granger causes real interest rate. However, term of trade rate does not granger cause interest rate at 5% level of significance as indicated by the probability values 0.4084 and 0.8746. Thus, there is a no causality from term of term of trade and real interest rate. Reference to the results of the robustness checks in <xref ref-type="table" rid="T8">Table 8</xref> depicted earlier, and Heteroskedasticity with the context of the Breusch-Godfrey Serial Correlation LM test and Breusch-Pegan-Godfrey Heteroskedasticity test, respectively. Both tests were conducted under the null hypotheses of &#x201C;no autocorrelation&#x201D; and &#x201C;no Heteroskedasticity&#x201D; respectively. The result indicated that the estimated model was free from the econometric problems, as the F-statistics in both tests were statistically insignificant (both P-value were greater than 0.05), leading to a rejection of the null hypotheses in the test as presented in <xref ref-type="table" rid="T8">Table 8</xref>.</p>
<table-wrap position="float" id="T8">
<label>TABLE 8</label>
<caption><p>Result of Heteroskedasticity and Serial Correlation Test.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="4">Heteroskedasticity Test: Breusch-Pegan-Godfrey</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="4">Null Hypothesis: No Heteroskedasticity</td>
</tr>
<tr>
<td valign="top" align="left">F-Statistic</td>
<td valign="top" align="left">1.806615</td>
<td valign="top" align="left"><italic>P</italic>-value</td>
<td valign="top" align="left">0.1340</td>
</tr>
<tr>
<td valign="top" align="left" colspan="4">Breusch-Pegan-Godfrey Serial Correlation LM Test</td>
</tr>
<tr>
<td valign="top" align="left" colspan="4">Null Hypothesis: No Serial Correlation</td>
</tr>
<tr>
<td valign="top" align="left">F-Statistic</td>
<td valign="top" align="left">0.271019</td>
<td valign="top" align="left"><italic>P</italic>-value</td>
<td valign="top" align="left">0.7647</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Source: Computed by the author using EViews 10.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S5.SS5">
<title>Cumulative sum of recursive residuals of CUSUM and CUSUM square</title>
<p>Model stability is necessary for prediction and economic inference. This is regarded as a sufficient condition; hence, the study employed stability test for estimated parameters by using the cumulative sum of recursive residual (CUSUM) and cumulative sum of square (CUSUMS Q) tests. The graphical presentation of these tests are presented in <xref ref-type="fig" rid="F1">Figures 1</xref> and <xref ref-type="fig" rid="F2">2</xref> respectively.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Cumulative sum of recursive residuals (CUSUM).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijfmr-2024-26-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p> Cumulative sum of square (CUSUMSQ).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijfmr-2024-26-g002.tif"/>
</fig>
</sec>
</sec>
<sec id="S6">
<title>Histogram test of normality</title>
<p>Reference to the graphical information in <xref ref-type="fig" rid="F3">Figure 3</xref>, it shows the histogram test of normality in respect of the data used in the study. The histogram test of stability seem to be normally distributed which was validated by the Jargue-Bera test which shows a value of about 0.158703, and the probability of obtaining such a statistic under the normality assumption is about 64 per cent. Therefore, the hypothesis was not rejected in this study since the error terms are normally distributed as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Histogram Test of Normality.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijfmr-2024-26-g003.tif"/>
</fig>
</sec>
<sec id="S7">
<title>Conclusion and recommendations</title>
<p>The study concludes that in both the short-run and long-run, the domestic inflation decreases the domestic product at 10 per cent level and official exchange rate has positive increase on the gross domestic product in the short-run and in the long-run the domestic inflation also has negative sign in domestic product, the exchange rate increases the domestic product at 10% respectively both in the short-run and long-run coefficient. It is also concluded that monetary policy is significantly related to sustainable development goals number ten in Nigeria.</p>
<p>In line with the findings of this study, the study proffers the following recommendations :</p>
<list list-type="simple">
<list-item>
<label>(i)</label>
<p>The Federal Government of Nigeria (FGN) through the Central Bank of Nigeria (CBN) should consider the inflationary trend and fluctuating exchange rate in Nigeria to stabilize inequality. This can be effectively achieved through implementing a monetary policy that focuses on the expectations of the citizens and thus helps drastically reduce the increasing level of inflation and exchange rate fluctuations to the barest minimum if not completely eradicated;</p>
</list-item>
<list-item>
<label>(ii)</label>
<p>The government should focus on monetary policy instruments which if effectively articulated will reduce the high disparity (inequality) in Nigeria. Hence, it will ensure the attainment of sustainable development goals number ten (SDG-10) by the year 2030 in Nigeria;</p>
</list-item>
<list-item>
<label>(iii)</label>
<p>The FGN in collaboration with the Federal Ministry of Humanitarian Affairs should endeavor to implement fiscal stability measures aimed at reducing the wide level of disparity between the rich and the poor in Nigeria. This can be achieved through addressing and improving the basic needs of the citizens such as equal distribution of income and other scarce resources.</p>
</list-item>
</list>
</sec>
</body>
<back>
<ref-list>
<title>References</title>
<ref id="B1"><label>1.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nosike</surname> <given-names>CJ</given-names></name> <name><surname>Ojobor</surname> <given-names>OSN</given-names></name></person-group>. <article-title>Effects of government policies on recessions: Fiscal and monetary policy impact on unemployment, poverty, and inequality.</article-title> <source><italic>Interdiscip J Afr Asian Stud.</italic></source> (<year>2024</year>) <volume>10</volume>:<fpage>33</fpage>&#x2013;<lpage>52</lpage>.</citation></ref>
<ref id="B2"><label>2.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Abdulrahman</surname> <given-names>IA</given-names></name> <name><surname>Oniyide</surname> <given-names>GD</given-names></name></person-group>. <article-title>Impact of monetary policy on poverty reduction in Nigeria.</article-title> <source><italic>Afr J Econ Rev.</italic></source> (<year>2023</year>) <volume>11</volume>:<fpage>101</fpage>&#x2013;<lpage>19</lpage>.</citation></ref>
<ref id="B3"><label>3.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jothr</surname> <given-names>OA</given-names></name> <name><surname>Jummaa</surname> <given-names>AI</given-names></name> <name><surname>Ambariyani</surname> <given-names>A</given-names></name></person-group>. <article-title>The impact of monetary policy instruments on sustainable development.</article-title> <source><italic>Rev J Manag Entrepreneursh.</italic></source> (<year>2023</year>) <volume>1</volume>:<fpage>22</fpage>&#x2013;<lpage>6</lpage>.</citation></ref>
<ref id="B4"><label>4.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Khan</surname> <given-names>Z</given-names></name> <name><surname>Khan</surname> <given-names>MA</given-names></name></person-group>. <article-title>The effect of monetary policy on income inequality: Empirical evidence from asian and african developing economies.</article-title> <source><italic>J Cent Bank Theory Pract.</italic></source> (<year>2023</year>) <volume>12</volume>:<fpage>133</fpage>&#x2013;<lpage>58</lpage>.</citation></ref>
<ref id="B5"><label>5.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Oseni</surname> <given-names>IO</given-names></name> <name><surname>Oyelade</surname> <given-names>AO</given-names></name></person-group>. <article-title>The effects of monetary policies on economic growth in Nigeria.</article-title> <source><italic>Afr J Econ Rev.</italic></source> (<year>2023</year>) <volume>11</volume>:<fpage>13</fpage>&#x2013;<lpage>28</lpage>.</citation></ref>
<ref id="B6"><label>6.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ovat</surname> <given-names>OO</given-names></name> <name><surname>Ishaku</surname> <given-names>RN</given-names></name> <name><surname>Ugbaka</surname> <given-names>MA</given-names></name> <name><surname>Ifere</surname> <given-names>EO</given-names></name></person-group>. <article-title>Monetary policy rate and economic growth in Nigeria.</article-title> <source><italic>Int J Econ Financial Issues.</italic></source> (<year>2022</year>) <volume>12</volume>:<fpage>53</fpage>&#x2013;<lpage>9</lpage>.</citation></ref>
<ref id="B7"><label>7.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Siami-Namini</surname> <given-names>S</given-names></name> <name><surname>Lyford</surname> <given-names>C</given-names></name> <name><surname>Trindade</surname> <given-names>AA</given-names></name></person-group>. <article-title>The effects of monetary policy shocks on income inequality across U.S. States.</article-title> <source><italic>Econ Papers Econ Soc Aust.</italic></source> (<year>2020</year>) <volume>39</volume>:<fpage>204</fpage>&#x2013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1111/1759-3441.12279</pub-id></citation></ref>
<ref id="B8"><label>8.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ofori</surname> <given-names>IK</given-names></name> <name><surname>Gbolonyo</surname> <given-names>EY</given-names></name> <name><surname>Dossou</surname> <given-names>TAM</given-names></name> <name><surname>Nkrumah</surname> <given-names>RK</given-names></name></person-group>. <article-title>Remittances and income inequality in Africa: Financial development thresholds for economic policy.</article-title> <source><italic>Res Glob.</italic></source> (<year>2022</year>) <volume>4</volume>:<issue>100084</issue>.</citation></ref>
<ref id="B9"><label>9.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Herradi</surname> <given-names>ME</given-names></name> <name><surname>Leroy</surname> <given-names>A.</given-names></name></person-group> <source><italic>Monetary policy and the top one percent: Evidence from a century of modern economic history&#x2019;. Working paper series No. 632.</italic></source> <publisher-loc>Amsterdam</publisher-loc>: <publisher-name>De Nederlandsche Bank</publisher-name> (<year>2019</year>).</citation></ref>
<ref id="B10"><label>10.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hohberger</surname> <given-names>S</given-names></name> <name><surname>Priftis</surname> <given-names>R</given-names></name> <name><surname>Vogel</surname> <given-names>L.</given-names></name></person-group> <source><italic>The distributional effects of conventional monetary policy and quantitative easing: Evidence from an estimated DSGE model&#x2019;, working paper 2019-6.</italic></source> <publisher-loc>Ottawa, ON</publisher-loc>: <publisher-name>Bank of Canada Staff</publisher-name> (<year>2019</year>).</citation></ref>
<ref id="B11"><label>11.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Toriola</surname> <given-names>AK</given-names></name> <name><surname>Adeniwura</surname> <given-names>OO</given-names></name> <name><surname>Lawale</surname> <given-names>FO</given-names></name> <name><surname>Eyeke</surname> <given-names>AV</given-names></name> <name><surname>Nwakpa</surname> <given-names>FC</given-names></name> <name><surname>Adeniran</surname> <given-names>I</given-names></name></person-group>. <article-title>Monetary policy shocks and economic growth in Nigeria.</article-title> <source><italic>Indones J Contemp Educ.</italic></source> (<year>2022</year>) <volume>4</volume>:<fpage>71</fpage>&#x2013;<lpage>9</lpage>.</citation></ref>
<ref id="B12"><label>12.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Onwe</surname> <given-names>M</given-names></name> <name><surname>Metu</surname> <given-names>AG</given-names></name> <name><surname>Obi</surname> <given-names>K</given-names></name> <name><surname>Uzoechina</surname> <given-names>B</given-names></name> <name><surname>Osayi</surname> <given-names>K</given-names></name></person-group>. <article-title>Impact of monetary policy on consumption expenditure: In Nigeria.</article-title> <source><italic>J Int Econ Relat Dev Econ.</italic></source> (<year>2023</year>) <volume>3</volume>:<fpage>1</fpage>&#x2013;<lpage>23</lpage>.</citation></ref>
<ref id="B13"><label>13.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Adeleke</surname> <given-names>OK</given-names></name> <name><surname>Olomola</surname> <given-names>PA</given-names></name></person-group>. <article-title>An empirical investigation of financial inclusion, poverty and inequality in Nigeria.</article-title> <source><italic>Redeemers Univers J Manag Soc Sci.</italic></source> (<year>2023</year>) <volume>5</volume>:<fpage>25</fpage>&#x2013;<lpage>47</lpage>.</citation></ref>
<ref id="B14"><label>14.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zungu</surname> <given-names>LT</given-names></name> <name><surname>Greyling</surname> <given-names>L</given-names></name></person-group>. <article-title>Exploring the dynamic shock of unconventional monetary policy channels on income inequality: A panel VAR approach.</article-title> <source><italic>Soc Sci.</italic></source> (<year>2022</year>) <volume>11</volume>:<fpage>369</fpage>&#x2013;<lpage>87</lpage>.</citation></ref>
<ref id="B15"><label>15.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jungo</surname> <given-names>J</given-names></name> <name><surname>Madaleno</surname> <given-names>M</given-names></name> <name><surname>Botelho</surname> <given-names>A</given-names></name></person-group>. <article-title>The relationship between financial inclusion and monetary policy: A comparative study of countries&#x2019; in Sub-Saharan Africa and Latin America and the Caribbean.</article-title> <source><italic>J Afr Bus.</italic></source> (<year>2022</year>) <volume>23</volume>:<fpage>794</fpage>&#x2013;<lpage>815</lpage>.</citation></ref>
<ref id="B16"><label>16.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Davtyan</surname> <given-names>K.</given-names></name></person-group> <source><italic>Income Inequality and monetary policy: An analysis on the long run relation&#x2019; Working Paper No2016/04.</italic></source> <publisher-loc>Karachi</publisher-loc>: <publisher-name>Research Institute of Applied Economics</publisher-name> (<year>2016</year>).</citation></ref>
<ref id="B17"><label>17.</label><citation citation-type="journal"><collab>Gidigbi MO</collab>. <article-title>An assessment of the impact of banking reforms on economic growth and bank performance in Nigeria</article-title>. <source><italic>Cbn J Appl Stat (Jas)</italic></source>. (<year>2017</year>) <fpage>8</fpage>:<fpage>7</fpage>&#x2013;<lpage>21</lpage>.</citation></ref>
<ref id="B18"><label>18.</label><citation citation-type="journal"><collab>Central Bank of Nigeria Statistical Bulletin</collab> (<year>2023</year>). <article-title>Impact of Naira Redesign and Currency Swap on Inequality in Nigeria: An Appraisal Perspective</article-title>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.cbn.gov.ng/">https://www.cbn.gov.ng/</ext-link></citation></ref>
<ref id="B19"><label>19.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>George-Anokwuru</surname> <given-names>CC</given-names></name></person-group>. <article-title>Monetary policy and misery index in Nigeria.</article-title> <source><italic>Eur J Econ Financ Res.</italic></source> (<year>2023</year>) <volume>7</volume>:<fpage>45</fpage>&#x2013;<lpage>63</lpage>.</citation></ref>
<ref id="B20"><label>20.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Aye</surname> <given-names>C</given-names></name> <name><surname>Goodness</surname> <given-names>C</given-names></name> <name><surname>Matthew</surname> <given-names>W</given-names></name> <name><surname>Gupta</surname> <given-names>R</given-names></name></person-group>. <article-title>&#x2018;The effectiveness of monetary and fiscal policy shock on U.S. inequality: The role of uncertainty&#x2019;.</article-title> <source><italic>Qual Quant.</italic></source> (<year>2019</year>) <volume>53</volume>:<fpage>283</fpage>&#x2013;<lpage>95</lpage>.</citation></ref>
<ref id="B21"><label>21.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Taghizadeh-Hesary</surname> <given-names>F</given-names></name> <name><surname>Yoshino</surname> <given-names>N</given-names></name> <name><surname>Shimizu</surname> <given-names>S.</given-names></name></person-group> <source><italic>The impact of monetary and tax policy on income inequality in Japan&#x2019;, Working paper series no. 837.</italic></source> <publisher-loc>Tokyo</publisher-loc>: <publisher-name>Asian Development Bank Institute</publisher-name> (<year>2018</year>).</citation></ref>
<ref id="B22"><label>22.</label><citation citation-type="journal"><collab>Omoke NI, Madubueze CC</collab>. <article-title>Machete injuries as seen in a Nigerian teaching hospital</article-title>. <source><italic>Injury</italic></source>. (<year>2010</year>) <volume>41</volume>:<fpage>120</fpage>&#x2013;<lpage>4</lpage>.</citation></ref>
<ref id="B23"><label>23.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Saiki</surname> <given-names>A</given-names></name> <name><surname>Frost</surname> <given-names>J</given-names></name></person-group>. <article-title>Unconventional monetary policy and inequality: is Japan unique?</article-title> <source><italic>Appl Econ</italic></source>. (<year>2020</year>) <volume>52</volume>:<fpage>4809</fpage>&#x2013;<lpage>21</lpage>.</citation></ref>
<ref id="B24"><label>24.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Feldkircher</surname> <given-names>M</given-names></name> <name><surname>Kakamu</surname> <given-names>K.</given-names></name></person-group> <source><italic>How does monetary policy affect income inequality in Japan? Evidence from grouped data&#x2019;. working papers in regional science 6215.</italic></source> <publisher-loc>Vienna</publisher-loc>: <publisher-name>WU Vienna University of Economics and Business</publisher-name> (<year>2018</year>).</citation></ref>
<ref id="B25"><label>25.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Apanisile</surname> <given-names>OT</given-names></name> <name><surname>Osinubi</surname> <given-names>TT</given-names></name></person-group>. <article-title>&#x2018;Financial development and the effectiveness of monetary policy channels in Nigeria: A DSGE approach&#x2019;.</article-title> <source><italic>J Afr Bus.</italic></source> (<year>2020</year>) <volume>21</volume>:<fpage>193</fpage>&#x2013;<lpage>214</lpage>.</citation></ref>
<ref id="B26"><label>26.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Akinlo</surname> <given-names>AE</given-names></name> <name><surname>Apanisile</surname> <given-names>OT</given-names></name></person-group>. <article-title>&#x2018;Monetary policy shocks and effectiveness of channels of transmission in Nigeria: A dynamic stochastic general equilibrium approach&#x2019;.</article-title> <source><italic>Glob Bus Rev.</italic></source> (<year>2019</year>) <volume>20</volume>:<fpage>1</fpage>&#x2013;<lpage>23</lpage>.</citation></ref>
<ref id="B27"><label>27.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dickey</surname> <given-names>DA</given-names></name> <name><surname>Fuller</surname> <given-names>WA</given-names></name></person-group>. <article-title>Distribution of the estimators for autoregressive time series with a unit root.</article-title> <source><italic>J Am Stat Assoc</italic></source>. (<year>1979</year>) <volume>74</volume>:<fpage>427</fpage>&#x2013;<lpage>31</lpage>.</citation></ref>
<ref id="B28"><label>28.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dickey</surname> <given-names>DA</given-names></name> <name><surname>Fuller</surname> <given-names>WA</given-names></name></person-group>. <article-title>Likelihood ratio statistics for autoregressive time series with a unit root.</article-title> <source><italic>Econ J Econ Soc</italic></source>. (<year>1981</year>) <volume>2</volume>:<fpage>1057</fpage>&#x2013;<lpage>72</lpage>.</citation></ref>
<ref id="B29"><label>29.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Omoke</surname> <given-names>JM</given-names></name></person-group>. <source><italic>The Relationship Between Capital Market Development and Economic Growth in Kenya</italic></source>. <publisher-loc>Doctoral dissertation. Nairobi</publisher-loc>: <publisher-name>University of Nairobi</publisher-name> (<year>2010</year>).</citation></ref>
<ref id="B30"><label>30.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shrestha</surname> <given-names>MB</given-names></name> <name><surname>Bhatta</surname> <given-names>GR</given-names></name></person-group>. <article-title>Revisiting money-price relationship in Nepal following a new methodological framework</article-title>. <source><italic>NRB Econ Rev</italic></source>. (<year>2018</year>) <volume>30</volume>:<fpage>19</fpage>&#x2013;<lpage>34</lpage>.</citation></ref>
<ref id="B31"><label>31.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Akpan</surname> <given-names>GE</given-names></name> <name><surname>Akpan</surname> <given-names>UF</given-names></name></person-group>. <article-title>Electricity consumption, carbon emissions and economic growth in Nigeria.</article-title> <source><italic>Int J Energy Econ Policy</italic></source>. (<year>2012</year>) <volume>2</volume>:<fpage>292</fpage>&#x2013;<lpage>306</lpage>.</citation></ref>
<ref id="B32"><label>32.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gujarati</surname> <given-names>DN</given-names></name></person-group>. <source><italic>Essentials of Econometrics</italic></source>. <publisher-name>Sage Publications</publisher-name> (<year>2021</year>).</citation></ref>
<ref id="B33"><label>33.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Apanisile</surname> <given-names>OT</given-names></name></person-group>. <article-title>Remittances, financial development and the effectiveness of monetary policy transmission mechanism in Nigeria: a DSGE approach.</article-title> <source><italic>Indian Econ Rev</italic></source>. (<year>2021</year>) <volume>56</volume>:<fpage>91</fpage>&#x2013;<lpage>112</lpage>.</citation></ref>
<ref id="B34"><label>34.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kuhelika</surname> <given-names>D</given-names></name> <name><surname>Venoo</surname> <given-names>K</given-names></name></person-group>. <article-title>Effects of monetary policy on food inequality in India.</article-title> <source><italic>J Dev Stud.</italic></source> (<year>2021</year>) <volume>57</volume>:<fpage>1852</fpage>&#x2013;<lpage>70</lpage>. <pub-id pub-id-type="doi">10.1080/00220388.2021.1906861</pub-id></citation></ref>
<ref id="B35"><label>35.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Voinea</surname> <given-names>L</given-names></name> <name><surname>Mihaescu</surname> <given-names>F</given-names></name></person-group>. <article-title>A contribution to the public-private wage inequality debate: The iconic case of Romania.</article-title> <source><italic>Econ Transit.</italic></source> (<year>2017</year>) <volume>20</volume>:<fpage>315</fpage>&#x2013;<lpage>37</lpage>.</citation></ref>
<ref id="B36"><label>36.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Olamide</surname> <given-names>E</given-names></name> <name><surname>Ogujiuba</surname> <given-names>K</given-names></name> <name><surname>Maredza</surname> <given-names>A</given-names></name></person-group>. <article-title>Exchange rate volatility, inflation and economic growth in developing countries: panel data approach for SADC.</article-title> <source><italic>Economies</italic></source>. (<year>2022</year>) <volume>10</volume>:<fpage>67</fpage>.</citation></ref>
<ref id="B37"><label>37.</label><citation citation-type="journal"><collab>World Bank Development Indicator [WDI]</collab>. (<year>2021</year>). Available online at: <ext-link ext-link-type="uri" xlink:href="https://data.worldbank.org/indicator/BX.KLT.DINV.WD">https://data.worldbank.org/indicator/BX.KLT.DINV.WD</ext-link></citation></ref>
<ref id="B38"><label>38.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Liu</surname> <given-names>L</given-names></name> <name><surname>Zhang</surname> <given-names>W</given-names></name></person-group>. <article-title>&#x2018;A new Keynesian model for analyzing monetary policy in mainland China&#x2019;.</article-title> <source><italic>J Asian Econ.</italic></source> (<year>2010</year>) <volume>21</volume>:<fpage>540</fpage>&#x2013;<lpage>51</lpage>.</citation></ref>
</ref-list>
</back>
</article>
