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Article

Public Debt, Governance, and Growth in Developing Countries: An Application of Quantile via Moments

1
Accounting Research Institute (ARI), Universiti Teknologi MARA, Shah Alam 40450, Malaysia
2
Graduate School of Economics and Management (GSEM), Ural Federal University (UrFU), Yekaterinburg 620078, Russia
3
Faculty of Accountancy, Business and Social Sciences, Kolej Universiti Poly-Tech MARA, Cheras, Kuala Lumpur 56100, Malaysia
4
Faculty of Accountancy, Universiti Teknologi MARA, Shah Alam 40450, Malaysia
*
Author to whom correspondence should be addressed.
Mathematics 2023, 11(3), 650; https://doi.org/10.3390/math11030650
Submission received: 11 December 2022 / Revised: 6 January 2023 / Accepted: 13 January 2023 / Published: 27 January 2023
(This article belongs to the Special Issue Nonparametric Statistical Methods and Their Applications)

Abstract

:
Developing countries often encounter budget deficits by taking loans from internal and external sources. The effectiveness of public debt has been a long debate in the seminal and empirical literature. In this study, we investigate the effectiveness of public debt on economic growth, incorporating the role of governance in 44 developing countries. In doing so, we applied the Quantile Via Moments approach to analyze heterogeneous panel data ranging 1990–2000 considering the scale and location properties under different economic circumstances. Our results show that public debt impedes economic growth in all quantiles. Our empirical finding corroborates our proposition that in the presence of good governance, public debt promotes economic growth in the medium to higher quantiles. The empirical findings of this study confirm that governance is far more important in promoting economic growth.

1. Introduction

Since the global financial crisis of 2007, the magnitude of government debt has increased substantially to mitigate the negative consequences of the crisis. Governments undertake internal and external loans to promote investment, create more jobs, stimulate the economy, and finally, maintain stable economic growth [1,2]. Anecdotal evidence shows that many countries such as Greece and Sri Lanka encountered severe economic downfall due to a high debt ratio [3]. The global financial crisis led many governments to undertake bailout policies that incurred deficit financing. Public debt also considerably increased during the COVID-19 pandemic to mitigate its adverse effects by providing financial assistance to the most vulnerable sectors, the health sector, etc. The International Monetary Fund revealed that global public debt climbed up to 256% of GDP in 2020, where the ratio for developing countries was above 140%. Although the public debt ratio has been thriving, its impact remains ambiguous in the seminal and empirical literature.
A number of propositions motivated us to conduct this study. First, the impact of public debt on economic growth is in contrast to the existing literature in the context of developing countries. A stream of studies observed that public debt stimulated macroeconomic components including production, employment, wage range, and aggregate consumption during the financial crisis and promoted the economy [3,4]. Similarly, Mohsin et al. [5] documented that debt positively affected economic growth through capital formation and new investments in emerging market countries during the economic downturn. In contrast, many developing countries struggle with public debt management and are hardly able to generate the anticipated economic growth from that debt [6].
Second, many developing countries adopt different external and internal debts to fill the fiscal deficit. For several reasons, developing countries often struggle to deal with public debt to stabilize the macroeconomic environment. For example, Asteriou et al. [7] and Shittu et al. [8] argued that several developing countries suffer from unstable government budget balance and current account balance by adopting short- and long-term debts from different sources, resulting in twin deficits in the long run. Moreover, substantial debt service charges and instalments trigger public taxation and affect capital formation and long-term economic growth [9,10]. However, a frequent debt crisis raises public debate about the effectiveness of public debt. Given the contrasting literature, we were motivated to assess whether public debt is effective in promoting economic growth or not in the context of developing countries.
Third, many studies have emphasized the importance of good governance as a critical component of economic growth. Existing literature about the impact of governance on growth revealed contradictory findings. A group in the study confirmed that governance significantly elevated economic growth by removing the distortions from the growth process [11,12,13,14]. Some studies have also reported that different levels of the quality of governance are responsible for the increasing growth disparities across countries. Similarly, Nguyen et al. [15], Azam [16], and Sarpong & Bein [17] found robust governance and public administration patronage, rule of law, property rights, corruption control, and other administrative mechanisms that eliminated growth barriers and facilitated economic growth. Reportedly, many developing countries struggle with an unstable democracy, authoritarian regimes, and other issues, which are prone to poor governance. Mauro [18] and Cooray et al. [19] affirmed that rent-seekers were empowered by poor governance to embezzle public funds, whereas robust governance assures its proper use. Kaufmann [20] acknowledged that weak governance creates channels for government officials to benefit from public funds improperly by leveraging their political power. Our review concluded that governance is paramount in managing the public fund, while public debt is a sensitive public fund that needs to be utilized properly to benefit the national economy.
Fourth, another strand of studies has observed that governance plays a critical role in the debt–growth nexus. For example, Cooray et al. [19] and Nguyen & Luong [21] stated that good governance stimulates macroeconomic indicators through the proper utilization of the debt fund, while poor governance can lead to high public debt for a transitional economy that subsequently affects the growth through interest payments, low savings, and high taxation. In contrast, governance is insufficient to foster public debt-induced-economy growth, but trade openness is crucial, along with governance [22]. Therefore, the effect of governance on the nexus between public debt and economic growth is still debated in empirical studies, which motivated us to conduct the current study.
Pertaining to this backdrop, we aimed to examine the impact of public debt on economic growth in the context of selected developing countries. We also examined the direct impact of governance on growth. Moreover, the study also investigated the moderating role of governance on the nexus between public debt and economic growth in the context of the selected developing countries.
We contributed to the existing literature in a number of ways. First, we re-visit the public debt–economic growth nexus comprising a larger sample period including the financial crisis and COVID-19 pandemic-induced public debt for developing countries. Furthermore, we incorporated the direct and mediating role of governance in the public debt–economic growth nexus. Second, the study addressed the nonlinear properties of our data and the potential endogeneity bias among the countries’ public debt and economic growth by applying the newly launched econometric model “Quantiles via Moments” proposed by Machado and Silva [23]. The conventional quantile regression models are unable to detect the presence of unnoticed heterogeneity across panel cross sections, while the Quantile via Moment method investigates the heterogeneous and distributional impacts across quantiles. Third, our empirical findings provide a number of insights that could be beneficial for academics and policymakers. Developing countries should be cautious when it comes to public debt, as it has a negative impact on economic growth. Since governance is highly beneficial for the sustainable debt–growth relationship, countries are advised to improve the quality of governance in order to benefit from public debt.
The remainder of our paper is structured as follows. Section 2 provides a critical literature review of previous studies. Section 3 demonstrates the data, empirical model, and econometric model. Section 4 delivers the descriptive statistics and main findings. Section 5 provides discussion. Section 6 concludes and provides some policy implications along with several ideas for further research.

2. Literature Review

The effectiveness of public debt on economic growth is debated from a theoretical stance. The Keynesian point of view argues that public debt positively affects the expenditure multiplier and facilitates economic growth through new investment, employment creation, and demand-side stimulation [24,25,26]. The Classical and Neo-classical theorists strongly criticize the Keynesian arguments and state that public debt might be helpful for a crisis period, but it triggers interest rates, and due to the crowd-out effect, the private sector faces a capital shortage that ultimately affects economic growth in long-run [27,28]. In contrast, New Keynesian theorists state that public debts support the government in capital formation and large investments that motivate the demand side with its multiplier effects [29]. Hence, the debt–growth relationship is highly debated from the different standpoints of growth theories.
Empirical studies also mostly provide conflicting results regarding the productivity of public debt on growth. A group of studies found that public debt was negatively associated with economic growth due to high-interest payments, lower national savings, tax hikes, the crowding-out effect, and fiscal crisis. For example, Asteriou et al. [7] admitted that high debt creates macroeconomic vulnerability in the economy. According to recent studies, public debt has a negative impact on the economy of developing countries due to policy failure, high corruption, and weak debt fund management, and creates low revenue, low savings, and a high tax burden [8,10]. Therefore, most empirical studies on debt-growth issues have explored the negative impacts on economic growth in different settings.
Similarly, Shahor [30] argued that public debt to GDP is favorable for the economy when the debt ratio is lower than 90% of GDP. The study also revealed that high debt is detrimental to the economy, specifically when the debt is 130% or greater than the GDP. A recent study by Ndoricimpa [31] tried to determine the threshold level of public debt for African countries by deploying an advanced panel smooth transition regression approach. The study reported that there was not any effective threshold level of public debt that could be useful for growth; moreover, the debt was detrimental to the economy. Sharaf [32] argued that debt-sustainability is one of the major challenges for most countries, while economics mostly adopts budget deficit through cyclical public debt, which has barely any growth-enhancing effects on the economy in the long run. Other studies have also found similar results on the effects of public debt on economic growth [7]. However, several studies have presented contrary results on the effectiveness of economic growth.
Yusuf and Mohd [33] examined the dynamics of public debt on economic growth in the context of Nigeria and found that it promoted long-term growth, generating national revenue. The study concluded that domestic debt was more effective than external debt and that a debt management strategy and strong governance helped to maximize the public debt benefits. Saungweme & Odhiambo [34] found that public debt was affirmative for the Zambian economy, supported producing domestic revenue base, increased capital formation, enhanced debt payability, and facilitated economic growth. Eberhardt & Presbitero [35] examined the effect of government debt on economic growth by deploying the dynamic model of the common correlated effects of the pooled group and the mean group estimators for 118 countries. The study found that long-term government debt was positively associated with economic growth, while short-term debt was detrimental. Several other studies have also found similar results where public debt promoted growth through huge investment, full employment, and huge demand creation, especially in crisis [33,36].
Abbas et al. [37] stated that public debt worked effectively on economic growth by the presence of robust governance, and the debt impacted the economy negatively when the governance quality was under the threshold level. Yasar [6] examined the dynamics of external debt on the GDP growth in emerging economies by employing the ARDL econometric model. The study reported that external debt is detrimental to economic growth due to weak debt management, poor governance, and structural rigidities that create fund leakage from public debt. A group of studies confirmed that government debt is unfavorable for long-term growth because it affects investment when it repays [38,39,40]. On the other hand, Shittu et al. [8] found the opposite result, where poor institutional quality sometimes motivated GDP growth from the external debt in many Sub-Saharan African countries.
Another group of studies argued that the debt–growth nexus is time and country-specific and conditional to governance [41]. Egert [42] similarly acknowledged that some factors that support economic growth from the debt fund are robust governance, cultural characteristics, and existing level of economic growth. Governance plays a moderating role in the relationship between government debt and economic growth. Furthermore, other recent empirical studies have confirmed this conditional relationship with debt and the nexus between public debt and economic growth [43,44]. Some studies have also found that poor governance is one of the main reasons for the failure of public debt [10,45]. Hence studies confirm the importance of governance on debt management and on the nexus between debt growth. On the other hand, some studies find conflicting results on the effectiveness of governance on debt management in developing countries [46]. Therefore, these conflicting studies motivated us to conduct the current study to contribute to the ongoing debate with a robust methodology.
Referring to the previous literature to determine the relationship between public debt and economic growth and the presence of governance, we found that the literature still shows a conflicting situation. Furthermore, the direct and moderating effect of governance has also been debated in prior studies. On the other hand, studies have mostly focused on EU countries, OECD, North America, Sub-Saharan African countries, individual countries, etc. At the same time, the literature on developing countries is still limited. Moreover, the application of advanced models that analyze the heterogeneous effects of independent variables on various levels of economic growth, with a focus on cross-sectional dependence, is a key gap. Therefore, we employed the newly developed robust Quantile via Moment methodology to scrutinize the relationship between public debt, governance, and economic growth in the context of developing countries from different regions to contribute to the literature with some new findings.

3. Methodology

3.1. Data

The study covered data from 1990 to 2000 and considered 44 emerging countries. The data of the focused variables were obtained from secondary sources such as the World Bank (World Development Indicators), The International Country Risk Guide (ICRG), Government Finance Statistics (GFS), and International Monetary Fund (IMF). The measurements and proxy of the variables are provided in Table 1.

3.2. Empirical Model

We formulated our empirical models based on the Solow growth model, and outputs were a function of labor (LF) and capital (FCF). Therefore, we incorporated labor force (LF) and fixed capital formation (FCF) in our empirical model. As our sample countries are characterized as open economies, we considered trade openness (TO). Government deficit finance appears as public spending or investment in our model. Finally, we considered the direct and moderating role of quality of governance (QOG) based on a stream of literature.
L G D P C i t = B 0 + β 1 D E B T i t + β 2 T O i t + β 3 L F i t + β 4   F C F i t + ε i t
L G D P C i t = B 0 + β 1 D E B T i t + β 2 T O i t + β 3 L F i t + β 4   F C F i t + β 5 G O V i t + ε i t
The moderating role of QoG
L G D P C i t = B 0 + β 1 D E B T i t Q o G + β 2 T O i t + β 3 L F i t + β 4   F C F i t + β 5 Q o G i t + ε i t
where LGDPC = logarithmic form of GDP, DEBT = public debt, TO = trade openness, LF = labor force, FCF = fixed capital formation, QOG = quality of governance, and εit = error.

3.3. Method

To estimate our empirical models, we applied the Quantile via Moment approach developed by Machado and Silva [23] for several crucial reasons. First, our variables were highly heterogeneous for the countries and over time. Standard panel data-based techniques often fail to capture cross-sectional heterogeneity and variation over time [47,48], while Quantile via Moment unavoidably examines the conditional heterogeneous covariance impact [49]. Moreover, the approach can address the conceivable presence of endogenous properties in the independent variables, suitable in cases where impacts submerge the panel data model, and it yields reliable estimates in the case of the nonlinear model, allows for location-based asymmetries, and so on [23,49]. The method is able to generate heterogeneous estimations across the entire distribution. Existing panel regression models such as the fully modified ordinary least square model and dynamic ordinary least square model are capable of dealing with correlation and endogeneity, but those methods are unable to deal with non-linearity and heterogeneity. This study adopted the Quantile via Moment method, which is able to deal with endogeneity and heterogeneity issues considering the nonlinearity and asymmetric association of the dependent variable.
Q y τ | X i t = a i τ + δ i q τ + X i t ' β τ + Z i t ' γ τ
where a i τ   is the quantile-τ fixed effect for countries i, or the distributional effect (location effect), δ i τ is the scale effect, τ is the quantile, Q y τ | X i t is the quantile of the dependent variable, X i t ' β is the vector of the independent variables; Z is a vector of known differentiable (with probability 1) transformations of the components of X.
The advantage of our approach is that it allows for the use of methods that are only valid in the estimation of conditional means such as differencing out the cross-sectional effects in panel data models, while providing information on how the regressors affect the entire conditional distribution. These informational gains are perhaps the most striking feature of quantile regression [50,51] and were emphasized, for example, in the surveys by Koenker & Hallock [52], Cade & Noon [53], and Bassett & Koenker [54]. Aside from greatly facilitating the estimation of complex models, our approach also leads to estimates of the regression quantiles that validate a crucial requisite often ignored in empirical applications [55,56].

4. Result and Discussion

4.1. Descriptive Analysis

Table 2 displays the study’s descriptive statistics of the considered developing countries. The table also shows the data behavior (i.e., the total number of observations, mean value, standard deviation, and minimum and maximum values). The standard deviation in the table shows it is profound under the “between” option for most of the variables, implying the presence of growth disparity in different countries.

4.2. Main Results

Table 3 depicts the impacts of public debt on economic growth for the selected developing countries under different economic circumstances. The estimations take the form Q L G D P C τ | D E B T ,   T O ,   L F ,   F C F = α + X D E B T ,   T O ,   L F ,   F C F β + σ δ + Z γ q τ . The coefficients of public debt were negative and significant at a 1% significance level under all quantiles, indicating that public debt impedes economic growth in different economic conditions for developing countries. As a result, an increase in public debt is detrimental to the economic activities of the sample countries. Some studies found that developing countries mostly failed to trigger macroeconomic performance using public debt due to fiscal mismanagement, weak policymaking, high debt service charges, high policy implementation charges, and so on [57]. Similarly, Temsumrit [58] argued that the level of democracy and institutional quality were two major factors that supported the proper use of public debt and promoted economic growth, while most developing countries faced difficulties in maintaining stable democratic governments and strong institutional quality. The poor governance issue might be the cause of poor economic growth in the concerned developing countries, which were also examined in this study. However, Figure 1 also confirms that public debt is negatively associated with economic growth in developing countries.
Table 3 also shows that the coefficients of trade openness (TO) were positive and significant at a 1% significance level under all quantiles. Developing countries might export more than they import, following a free-market economy that promotes the economy Darku & Yeboah [59]. Additionally, the parameter of labor force (LF) was found to be negative and significant under all quantiles by the 1% significance level, except the lowermost quantile, which was negative but insignificant. Implying that the increase in the labor force is unfavorable for economic growth was acute in the lower quantiles to upper quantiles. As for the gross fixed capital formation (FCF), the magnitudes of the coefficients were negative and significant from the lower quantiles to upper-middle quantiles up to a 10% significance level, and the top quantiles were also negative but insignificant. The findings imply that domestic investment barely produces economic growth for developing countries. The results of our study are in harmony with the findings of Topcu et al. [60]. Furthermore, the figure demonstrates the graphical results of the TO, LF, and FCF, which were also in line with the estimations in Table 3.
Table 4 demonstrates the direct impact on economic growth in different quantiles. The estimations take the form   Q L G D P C τ | D E B T ,   T O ,   L F ,   F C F , Q O G = α + X D E B T ,   T O ,   L F ,   F C F , Q O G β + σ δ + Z γ q τ . The magnitudes of the coefficients show that governance has positive and significant impacts on economic growth under different economic circumstances at the 1% significance level. However, the lowermost quantile and two upper quantiles were positive and significant up to the 10% significance level. The results imply that governance has high growth-enhancing effects in all quantiles. Although the results were higher in the medium quantiles, the significance levels gradually decreased from the medium quantiles to the upper quantiles. The findings indicate that developing countries need to focus extensively on governance to generate continuous economic growth. The number of previous studies is in line with the findings by Azam [16] and Awuzie & Monyane [61]. However, the results of the two upper quantiles show that too strict rules and regulations of governance sometimes slow down economic growth. Figure 2 shows that the impacts of governance on economic growth were positive and consistent in all quantiles. The figure also shows that while debt, labor force, and fixed capital formation were all negative, trade openness was positive.
Table 5 depicts the moderating role of governance on the nexus between public debt and economic growth in different economic circumstances. The estimations take the form   Q L G D P C τ | D E B T ,   T O ,   L F ,   F C F , G O V ,   B D G O V = α + X D E B T ,   T O ,   L F ,   F C F , G O V ,   D E B T G O V β + σ δ + Z γ q τ . The results demonstrated that the magnitudes of the coefficients were highly significant from the lower-middle quantiles to the top most quantiles. Although the impacts of governance were slow in the first two quantiles, the impacts were higher from the lower medium quantiles to the upper quantiles at the 1% significance level. The results imply that the nexus between public debt and economic growth works perfectly well when governance moderates the relationship. Therefore, developing countries must focus on governance and keep improving their quality of governance to bring the best outcomes from public debt to economic growth. The results are coherent with the previous studies by Al Mamun et al. [12] and Erum & Hussain [62]. According to studies, strong governance aids in implementing government policies including economic growth plans through the utilization of public debt. Figure 3 demonstrates that the impacts of governance on the relationship between public debt and economic growth are highly positive and significant from the lower to upper quantiles.

5. Discussion

Our empirical findings provide significant insights regarding the public debt, governance, and economic growth of developing countries. The findings indicate that public debt barely promotes economic growth in the selected developing countries. The results specify that governance directly encourages economic growth, and in the presence of good governance, public debt highly motivates economic growth in developing countries. Our findings can be explained by the number of theories and seminal studies. The magnitudes of the coefficients of public debt on economic growth were negative and significant, and the negative impacts showed an increasing trend from lower quantiles to upper quantiles; the findings were similar to the notion of the debt over-hang theory. Furthermore, governance directly spurs economic growth throughout the quantiles, which is in line with endogenous growth theory and the seminal studies of Kraay et al. [63] and Acemoglu & Johnson [64]. In addition, the coefficients of the moderating role of governance on the debt–growth nexus were highly positive and significant, which is parallel to the New Keynesian economic thoughts.
The empirical findings of our study harmonize and antagonizes the existing literature. For example, public debt has negative impacts on the growth of low-income countries [2], and public debt is detrimental to the growth of emerging economies [40], so public debt follows the debt overhang hypothesis and affects the GDP growth for Commonwealth Independent States [6]. In comparison, public debt facilitates capital formation and new investment, and increases jobs and aggregate demand, increasing economic growth during the economic downturn in developing countries [3,5]. Furthermore, the impacts of governance on economic growth were verified as positive in the selected developing countries. Prior studies have similarly found that better governance smooths the production function and supports economic growth in emerging economies [65], and governance improves the growth prospects of developing countries [66,67]. However, too strict governance somewhat demotivates economic growth, as the coefficients of the upper quantiles show. Our findings also imply that governance plays a conditional role in the nexus between public debt and growth, which were highly positive and significant in our setting. The results are coherent with previous studies in developing countries [12,62]. These studies acknowledge that strong governance assists in the best use of the public fund in the context of developing counties, which also further improves the economic growth of those countries. The propositions are in line with a number of existing studies, in other words, good governance upholds government effectiveness, controls corruption, regulatory quality, and the rule of law and supports the utilization of public debt for economic growth in developing countries [21]; stable politics and government effectiveness have boosted the debt–growth relationship in developing Latin American countries [16], and some other studies have also confirmed that good governance motivates the debt–growth nexus in developing countries [43].

6. Conclusions and Policy Implications

Developing countries borrow a considerable public debt to execute the national budget. The impact of public debt is controversial; here, we re-investigated the role of public debt on economic growth, incorporating the part of governance. Our assessments show that public debt is detrimental to economic growth, while governance has growth-enhancing impacts under different economic conditions. However, our analysis showed that strict rules and governance regulations sometimes slow down economic activities. Our investigations also illustrate that good governance is paramount in the nexus between economic growth and public debt and that it promotes sustainable economic growth.
Based on the results, we provide several policy implications. First, the results show that public debt negatively impacts growth sustainability in the context of developing countries. Anecdotal evidence suggests that many economies such as Greece and Sri Lanka suffer in the long run when dealing with public debt. Hence, policymakers should consider the feasibility of public debts, importantly before adopting this tool. Second, governance has growth-enhancing effects; therefore, this group of countries should highly prioritize maintaining a high level of governance. The coefficients of governance, on the other hand, showed a decreasing trend in the upper quantiles. This implies that an overly strong governance mechanism impedes economic growth, which must be carefully adjusted in policymaking. Finally, governance is overall highly positive and significant in the debt–growth relationship. Therefore, developing countries should improve their governance to reap the benefits of public debt for sustainable economic growth.
This study examined the long-term impacts of public debt on economic growth in the context of developing countries from 1990 to 2020. In the meantime, the COVID-19 outbreak has once again fostered public debt, and countries are raising their debt stocks to mitigate the adversity of the economy from the harmful effects of the ongoing pandemic. However, the current study was unable to incorporate the recent data after 2020 due to data unavailability. Hence, future studies should be focused on this topic, looking at the short- and even long-term implications of the pandemic-era state debt on economic growth in different income levels countries including developing countries. Furthermore, future studies could examine the debt–growth relationship with the individual components of governance in a different setting to provide additional insights.

Author Contributions

Conceptualization, Writing, K.M. and J.S.; Formal analysis, K.S.; Resources, F.G.; Writing—original draft, K.M.; Project administration, N.A. All authors have read and agreed to the published version of the manuscript.

Funding

The work was supported by the matching grant of the Accounting Research Institute, Universiti Teknologi MARA (UiTM) and Kolej Universiti Poly-Tech MARA, Malaysia.

Data Availability Statement

Will be provided upon request.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. The Impact of public debt on growth under different quantiles.
Figure 1. The Impact of public debt on growth under different quantiles.
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Figure 2. The impact of governance on growth under different quantiles.
Figure 2. The impact of governance on growth under different quantiles.
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Figure 3. The moderating role of governance on the nexus between public debt and growth under different quantiles.
Figure 3. The moderating role of governance on the nexus between public debt and growth under different quantiles.
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Table 1. Variable description and sources.
Table 1. Variable description and sources.
VariableDefinitionSourceScale of Measurement
Economic growth (GDP)GDP per capita is obtained by dividing the gross domestic product by the total population.World Development Indicators (WDI)
The World Bank
GDP per capita (Constant in 2010)
Government debtExternal debt per cent of GDPGovernment Finance Statistics of IMFDebt to GDP ratio
Quality of governance (QoG)The index of governance has been compiled by the moving average method from the ICRG dataset.Developed by author using the ICRG datasetAuthor compilation
Trade openness (TO)Trade is the sum of imports and exports of services and goods as a % of GDPWDI
The World Bank
Trade (as % of GDP)
Labor force (LF)LF includes people ages 15 and older who supply labor to produce goods and services during a specified period.WDI
The World Bank
Population aged (15 and above). Per cent of the total population
Fixed capital formation (FCF)Gross FCF (% of GDP) is used to measure the capital constant 2010 USD.WDI
The World Bank
Gross FCF as % of GDP)
Table 2. Descriptive statistics.
Table 2. Descriptive statistics.
VariableObservationMeanStd. Dev.MinMax
LGDPC13468.41131.18815.870011.1386
DEBT10853.74680.78040.98945.6683
TO13194.35680.54172.62126.0806
LF133015.44591.876311.733420.4839
FCF126623.69767.64140.0069.6727
QOG11770.57610.18970.12961.00
Descriptive Statistics: The 44 developing countries.
Table 3. Impact of public debt on economic growth.
Table 3. Impact of public debt on economic growth.
VARIABLESLocationScaleq10q20q30q40q50q60q70q80q90
DEBT−0.265 ***−0.00584−0.256 ***−0.259 ***−0.262 ***−0.263 ***−0.265 ***−0.266 ***−0.269 ***−0.272 ***−0.275 ***
−0.0367−0.022−0.0484−0.0406−0.0376−0.0366−0.0366−0.0377−0.041−0.0473−0.0562
TO0.840 ***−0.184 ***1.143 ***1.025 ***0.953 ***0.901 ***0.853 ***0.797 ***0.720 ***0.623 ***0.518 ***
−0.0623−0.0373−0.0825−0.0694−0.0641−0.0621−0.0622−0.0643−0.0704−0.0807−0.0948
LF−0.112 ***−0.0567 ***−0.0191−0.0552 ***−0.0774 ***−0.0934 ***−0.108 ***−0.126 ***−0.149 ***−0.179 ***−0.212 ***
−0.0182−0.0109−0.0242−0.0203−0.0188−0.0182−0.0182−0.0189−0.0206−0.0236−0.0277
FCF−0.00803 **0.00252−0.0122 **−0.0106 **−0.00958 **−0.00887 **−0.00820 **−0.00744 *−0.00638−0.00506−0.00361
−0.00404−0.00242−0.00532−0.00446−0.00414−0.00402−0.00402−0.00414−0.0045−0.0052−0.00617
Constant7.650 ***2.415 ***3.679 ***5.214 ***6.159 ***6.842 ***7.481 ***8.211 ***9.222 ***10.49 ***11.87 ***
−0.513−0.307−0.684−0.577−0.532−0.511−0.513−0.535−0.588−0.669−0.776
Observations12411241124112411241124112411241124112411241
Note: ***, ** & * indicate 1%, 5%, & 10% the significance level; Observations: The 44 developing countries.
Table 4. Impact of governance on growth under different quantiles.
Table 4. Impact of governance on growth under different quantiles.
VARIABLESLocationScaleq10q20q30q40q50q60q70q80q90
DEBT−0.210 ***−0.0575 ***−0.114 **−0.154 ***−0.175 ***−0.192 ***−0.204 ***−0.222 ***−0.249 ***−0.280 ***−0.312 ***
−0.0364−0.0222−0.0465−0.0387−0.0363−0.0357−0.036−0.0378−0.0424−0.0494−0.0587
TO0.980 ***−0.226 ***1.357 ***1.202 ***1.120 ***1.051 ***1.006 ***0.933 ***0.827 ***0.708 ***0.580 ***
−0.0614−0.0373−0.079−0.0666−0.0613−0.0599−0.0606−0.0645−0.073−0.0838−0.0981
LF−0.103 ***−0.0529 ***−0.0147−0.0511 ***−0.0704 ***−0.0865 ***−0.0972 ***−0.114 ***−0.139 ***−0.167 ***−0.197 ***
−0.0184−0.0112−0.0236−0.0198−0.0184−0.018−0.0182−0.0192−0.0217−0.0251−0.0295
FCF−0.0141 ***0.00348−0.0200 ***−0.0176 ***−0.0163 ***−0.0152 ***−0.0145 ***−0.0134 ***−0.0118 **−0.00996 *−0.00797
−0.00418−0.00254−0.00533−0.00443−0.00416−0.00409−0.00413−0.00432−0.00484−0.00566−0.00674
QoG0.493 ***−0.006780.504 **0.499 ***0.497 ***0.495 ***0.493 ***0.491 ***0.488 ***0.484 **0.481 *
−0.158−0.0958−0.201−0.167−0.157−0.154−0.156−0.163−0.182−0.213−0.254
Constant6.611 ***2.674 ***2.138 ***3.977 ***4.955 ***5.769 ***6.311 ***7.172 ***8.433 ***9.832 ***11.36 ***
−0.503−0.306−0.655−0.559−0.505−0.49−0.497−0.538−0.613−0.693−0.8
Observations10911091109110911091109110911091109110911091
Note: ***, ** & * indicate 1%, 5%, & 10% significance level, Observations: The 44 developing countries.
Table 5. The moderating role governance on the nexus between public debt and growth.
Table 5. The moderating role governance on the nexus between public debt and growth.
VARIABLESLocationScaleq10q20q30q40q50q60q70q80q90
DEBT−0.735 ***−0.288 ***−0.243−0.445 ***−0.566 ***−0.643 ***−0.710 ***−0.807 ***−0.933 ***−1.075 ***−1.222 ***
−0.125−0.0755−0.168−0.139−0.127−0.124−0.125−0.13−0.143−0.163−0.19
TO0.918 ***−0.279 ***1.395 ***1.199 ***1.082 ***1.007 ***0.943 ***0.848 ***0.726 ***0.589 ***0.446 ***
−0.0634−0.0382−0.0853−0.0722−0.0647−0.0625−0.0632−0.0669−0.0739−0.0831−0.0959
LF−0.118 ***−0.0659 ***−0.00582−0.0521 **−0.0797 ***−0.0973 ***−0.113 ***−0.135 ***−0.164 ***−0.196 ***−0.230 ***
−0.0188−0.0114−0.0253−0.0212−0.0192−0.0186−0.0188−0.0197−0.0217−0.0246−0.0285
FCF−0.0130 ***0.00425 *−0.0202 ***−0.0172 ***−0.0154 ***−0.0143 ***−0.0133 ***−0.0119 ***−0.0100 **−0.00794−0.00577
−0.00416−0.00251−0.00556−0.00458−0.00423−0.00413−0.00414−0.0043−0.00473−0.00543−0.00634
QoG−2.505 ***−1.277 ***−0.326−1.224−1.757 **−2.099 ***−2.395 ***−2.826 ***−3.383 ***−4.012 ***−4.666 ***
−0.694−0.419−0.928−0.767−0.705−0.688−0.691−0.719−0.791−0.906−1.056
DEBT * QoG0.809 ***0.339 ***0.2310.469 **0.611 ***0.701 ***0.780 ***0.894 ***1.042 ***1.208 ***1.382 ***
−0.181−0.109−0.242−0.2−0.184−0.179−0.18−0.187−0.206−0.236−0.275
Constant9.038 ***3.952 ***2.294 **5.071 ***6.721 ***7.782 ***8.696 ***10.03 ***11.75 ***13.70 ***15.72 ***
−0.771−0.465−1.04−0.887−0.788−0.76−0.77−0.819−0.907−1.012−1.165
Observations10911091109110911091109110911091109110911091
Note: ***, ** & * indicate 1%, 5%, & 10% significance level, Observations: The 44 developing countries.
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Musa, K.; Sohag, K.; Said, J.; Ghapar, F.; Ali, N. Public Debt, Governance, and Growth in Developing Countries: An Application of Quantile via Moments. Mathematics 2023, 11, 650. https://doi.org/10.3390/math11030650

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Musa K, Sohag K, Said J, Ghapar F, Ali N. Public Debt, Governance, and Growth in Developing Countries: An Application of Quantile via Moments. Mathematics. 2023; 11(3):650. https://doi.org/10.3390/math11030650

Chicago/Turabian Style

Musa, Kazi, Kazi Sohag, Jamaliah Said, Farha Ghapar, and Norli Ali. 2023. "Public Debt, Governance, and Growth in Developing Countries: An Application of Quantile via Moments" Mathematics 11, no. 3: 650. https://doi.org/10.3390/math11030650

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