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Article

Testing the Sustainability of Fiscal Policy during the Portuguese First Republic Using Stationary and Cointegration Tests

by
Ricardo Ferraz
1,2,3
1
Polytechnic Institute of Coimbra, Coimbra Institute of Engineering, Rua Pedro Nunes, Quinta da Nora, 3030-199 Coimbra, Portugal
2
RCM2+, Research Centre for Asset Management and Systems Engineering, Polytechnic Institute of Coimbra, Rua Pedro Nunes, Quinta da Nora, 3030-199 Coimbra, Portugal
3
GHES/CSG/Lisbon School of Economics & Management (ISEG), Universidade de Lisboa, 1649-004 Lisbon, Portugal
Economies 2023, 11(11), 267; https://doi.org/10.3390/economies11110267
Submission received: 5 September 2023 / Revised: 7 October 2023 / Accepted: 12 October 2023 / Published: 26 October 2023
(This article belongs to the Special Issue Fiscal Policy and Macroeconomic Stability)

Abstract

:
The Portuguese First Republic (1910–1926) was marked by significant instability at the most diverse levels. With a special focus on the financial dimension of this period, the objective of this paper is to test the sustainability of the Portuguese fiscal policy, also referred to as the sustainability of public finances itself. The methodology involves testing the stationarity of public debt and budget balance and also the cointegration between state revenue and expenditure. The results obtained shows that the state’s intertemporal budgetary constraint was violated during the First Republic regime, which denotes unsustainability. This conclusion is justified by the existence of a non-stationary budget balance and the absence of cointegration between state revenue and expenditure. These results are manifestly different from those that have already been obtained for other Portuguese regimes, namely for the Estado Novo (1933–1974) and democracy (1974–present), where sustainability existed. This paper is yet another demonstration of how important it is to maintain control of state’s accounts. We hope that this paper can be useful to stimulate new research on Portuguese public finances and also on the important issue of fiscal policy sustainability.

1. Introduction

With the end of the monarchy, a new political regime emerged on 5 October 1910, in which the population placed enormous expectations. The First Republic (1910–1926), which emerged in a Europe characterised by monarchies, with the exception of France and Switzerland, presented alternative political and social principles that included the complete separation of church and state, widespread access to education, universal suffrage, a democracy without censorship, and no limitation to the free organisation and expression of opinion. However, many of these principles ended up not even being implemented (Telo 2010), and on the contrary, this regime failed to bring about the desired change. A state of permanent chaos lasted for 16 years, marked by enormous instability at the most diverse levels, not only political—with a total of 45 governments—but also social, economic, and financial. The First Portuguese Republic ended up falling early on—even though it already felt old—when a coup d’état was carried out by the military on 28 May 1926 (for more details on this regime, see also Oliveira Marques 1978, 2010; Rosas and Rollo 2009; Telo 2011; Martins and Duarte 2014).
With a special focus on the financial dimension, the objective of this paper is to test the sustainability of the fiscal policy in this specific period of Portugal’s history. It is important to clarify that, according to the literature, a sustainable fiscal policy implies that the ratio of debt converges to its initial level (Blanchard et al. 1990). This implies that the government needs to produce sufficient primary surpluses in the medium/long term to finance the accumulated debt (Chalk and Hemming 2000; European Central Bank 2011); this fiscal sustainability is synonymous of the ability of a government to sustain its policies in the long run without threatening the state’s solvency (European Commission 2017).
Therefore, we seek to answer the following fundamental questions: Can we consider that the political decision makers of this regime conducted the country’s fiscal policy responsibly? That is to say, was Portuguese fiscal policy sustainable in this specific period of 1910–1926? When compared with other periods (e.g., Estado Novo [New State], 1933–1974, and Democracy, 1974–present), what conclusions can we draw?1 To answer these questions, a set of important indicators relating to Portuguese public finances will be analysed, and econometric techniques usually used for this purpose will be carried out, namely stationarity and cointegration tests. This work could thus be of interest for all those who are not only dedicated to the study of Portuguese public finances but also for those who investigate the important issue of fiscal policy sustainability.
This paper is structured in five sections. After this introduction, Section 2 performs an analysis of the evolution of a set of relevant macroeconomic indicators. Section 3 presents the econometric methodology for testing the sustainability of fiscal policy. Section 4 discusses the results of the econometric tests, and, finally, Section 5 presents the main conclusions.

2. Brief Framework: The Portuguese Public Finances during the First Republic

At the beginning of the 20th century, Portugal was a shadow of its former power, having been humiliated by the British Ultimatum of 1890 and by a partial bankruptcy in 1892, both events which contributed to affect the credibility of the Portuguese monarchy (Ferraz 2023). It also had one of the most backward economies in Europe, characterised by low levels of economic development, as can be seen in Table 1.
Indeed, out of the 19 European nations considered in this table, only Bulgaria and Romania had a per capita GDP lower than that of Portugal in 1901. This was also a reality in 1910, the year that marked the end of the monarchy and the beginning of the Portuguese First Republic (1910–1926). In fact, it is possible to observe that Portuguese GDP per capita even shrank, in real terms, from 1901 to 1910.
At that time, the primary sector had an extraordinarily high weight in the Portuguese economy, as can be seen in Figure 1. In fact, the secondary sector in Portugal would only surpass the weight of the primary sector decades later, during the Estado Novo regime—a time when Portugal underwent a strong industrialisation process.2
During the same period, Portugal was mostly an illiterate nation that was excessively dependent on foreign trade in terms of food supplies and energy (Pires 2011). It was in this context that Portugal entered the First World War (1914–1918) in 1916, after Germany’s declaration of war (Ferraz 2020b). Portugal’s desire to become an official belligerent existed right from the start of the First World War and was motivated by the following reasons: (1) defending its interests in Africa; (2) recovering the country’s external credibility; and (3) giving prestige to the young Republican regime whose legitimacy was still under question (Mata 2009; Serra 2009; Telo 2010; Ferraz 2023).
In this sense, the war could not have had worse repercussions for Portugal from the most diverse perspectives. From a financial point of view, and as can be seen in Figure 2, the conflict resulted in a sharp rise in Portuguese military spending, which attained 8% of GDP in the last year of the war, having been only 2% before the conflict.
The increase in military spending corresponded to an increase in budget deficits, which attained 8% of GDP, with the highest level occurring during the short period of the Portuguese First Republic. This was due to the fact that state revenues did not keep up with the sharp growth in expenses, which led to the derailment of public accounts, as can be seen in Figure 3.
In fact, Portugal experienced enormous difficulties in obtaining finance to pay for the increase in military spending. Due to the declaration of partial bankruptcy in 1892, and with the exception of a few small floating loans, the country was excluded from the international financial markets until after the Second World War (Mata and Valério 1998). Therefore, a large proportion of the deficits was financed through loans obtained from the Banco de Portugal [Bank of Portugal]—which at the time was the most relevant commercial bank in Portugal, with the exclusive right to issue currency—which increased the money supply.
As a result, inflation soared, with the escudo devaluing significantly against the British pound.3 The scarcity of essential goods on which Portugal, at the time, was heavily depended—such as wheat and also coal—also contributed to this inflationary process (Ferraz 2023). The prices of imports increased during the war, leading to hunger and the paralysis of important sectors in Portugal, which contributed to the aggravation of the Portuguese trade balance deficit, which can also be explained by the fall in the re-export trade of colonial products from Africa (Telo 2011).
In fact, the war resulted in a profound social and economic crisis for Portugal (Rosas 2009; Lains 2003; Mata and Valério 2003), with inflation remaining a problem for several years after this conflict ended. It is therefore relatively consensual that the First World War contributed decisively to the fall of the First Portuguese Republic.
It is worth noting that the First World War also resulted in a strong reduction in public debt as a percentage of GDP, despite the fact that the stock of public debt increased very significantly during that same period, as can be seen in Figure 4.
This reduction in public debt as a percentage of GDP was due to the strong nominal GDP growth, which was explained by the context of the high level of inflation. Indeed, while nominal GDP grew, on average, by 22% during the period of the First Republic, real GDP at 1914 prices (see Valério 2008, data) contracted on average by 0.1% per year during the same period.4 The literature on the relationship between inflation and debt is vast. For example, taking into account a sample of 19 advanced economies, Fukanaga et al. (2019) conclude that a 1 percentage point (pp) shock to inflation rate reduces the debt-to-GDP ratio by about 0.5 to 1 pp.
However, despite the sharp drop in the debt ratio, can we consider that the fiscal policies adopted were sustainable during this regime, and how should they be evaluated empirically?

3. Literature Review: Empirical Strategy

Whether budgetary policies are sustainable or not is a central question for macroeconomic analysis (Canofari et al. 2020b). For example, fiscal policy has the potential to influence economic growth and therefore the development of a country (Nguyen and Nguyen 2023; Shahini and Grabova 2023).5 In turn, fiscal policy sustainability—which is also referred to as public finances sustainability (European Commission 2017)—is a concept that is associated with solvency. A state is solvent if its intertemporal budget constraint is respected, that is to say, if the present value of its primary budget balances are sufficient to pay the public debt (Horne 1991; Chalk and Hemming 2000; Croce and Juan-Ramón 2003; European Central Bank 2011).
According to the literature, state budget constraint is the starting point for assessing the sustainability of budgetary policy which can be presented, in real terms, as follows:6
B t B t 1 = r t · B t 1 + G t R t ,
where:
  • G is primary expenses;
  • R is state revenues;
  • r is the real interest rate;
  • B is the public debt stock.
Equation (1) means that the variation in the debt stock depends on the difference between expenses and revenues (for simplicity, we assume that other factors, in addition to these, are equal to zero). The previous equation can also be expressed as follows:
B t = ( 1 + r t ) · B t 1 + G t R t
Assuming that the real interest rate is stationary—a hypothesis which is assumed in the literature—and considering E t as the primary expenditure plus real interest, with interest rates around r, we can obtain:
E t + ( 1 + r ) · B t 1 = R t + B t ,
from this last equation, an alternative formulation can be obtained:
B t 1 = 1 1 + r · ( R t E t ) + B t 1 + r ,
using successive recursive substitutions, we obtain the following alternative formulation for the intertemporal budget constraint for an indefinite number of periods:
B t 1 = S = 0 1 ( 1 + r ) S + 1 · ( R t + S E t + S ) + lim S   B t + S ( 1 + r ) S + 1 .
Therefore, a sustainable fiscal policy needs to ensure that the public debt will have to tend towards zero in limit, as shown in the following equation:
lim s   B t + S ( 1 + r ) S + 1 = 0
Public debt stock cannot increase indefinitely at a growth rate higher than the real interest rate. This implies that the state has to guarantee sufficient primary surpluses in the medium/long term to finance the accumulated debt:
B t 1 = S = 0 1 ( 1 + r ) S + 1 · ( R t + S E t + S )
This algebraic development can also be carried out with the variables as a percentage of GDP. In this case, a sustainable fiscal policy implies that the debt-to-GDP ratio will have to tend towards zero in limit, thus converging to its initial level, while at the same time primary surpluses as a percentage of GDP will at least equal the value of the debt ratio at that initial moment (Blanchard et al. 1990; European Central Bank 2007).
Several econometric procedures, that have been widely used to test the sustainability of fiscal policy in various countries at different moments of time, all of which are based on the original work of Hamilton and Flavin (1986).7 Following Trehan and Walsh (1991) closely, we can consider that if the debt series is stationary, or at least I(1), then the condition expressed in Equation (6) will be respected. This procedure is conceptually equivalent to testing the order of integration of the budget balance series, which, in turn, must be I(0). Accordingly, the authors considered that in a context when the expected real interest rate is constant, the stationarity of the budget balance turns out to be a “necessary and sufficient” condition for the existence of a sustainable fiscal policy in a context where public debt will have to be at least I(1).
In turn, Hakkio and Rush (1991) proposed a complementary procedure that involves testing state revenues and expenses. This implies starting by rewriting Equation (7) in first differences:
B t = S = 0 1 ( 1 + r ) S 1 ( R t + S E t + S ) ,
Considering now, S t = G t + r t · B t 1 , and assuming that ∆ B t = S t R t , then we will have:
S t R t = S = 0 1 ( 1 + r ) S 1 ( R t + S E t + S )
Admitting that R and E are non-stationary series, although their first differences are, this means that also those S and R that are not stationary series need to be I(1) and must present a long-term equilibrium relation. Therefore, and after checking the order of integration of revenues and expenses (which must be the same), this procedure involves testing the following regression:
R t = μ + β S t + u t
There are two possibilities to take into account: (1) the null hypothesis in which R and S are not cointegrated; (2) the alternative hypothesis in which both I(1) have to be cointegrated. The procedure therefore involves testing the orders of integration of R and S, estimating a regression, and also testing the order of u ^ , which must be I(0). In short, for a fiscal policy to be sustainable, it needs a stationary public debt in levels, I(0), or in its first differences, I(1), as well as a budget balance that also must be I(0), which is conceptually equivalent to the existence of cointegration between state revenues and expenses (where β ^ should be as close to 1 as possible).8

4. Results: Sustainability or Unsustainability?

We start by performing the necessary and usual unit root tests for the period of 1910–1926. We choose the ADF (Dickey and Fuller 1979) and PP (Phillips and Perron 1988) tests and, additionally, a unit root test with structural breaks (Eviews 2022 following Perron 1989). As suggested by Hakkio and Rush (1991), and as is usually described in the literature, we express all the variables as a percentage of GDP. Accordingly, p and s represent state revenues and expenses as a percentage of GDP, b is the public debt/GDP ratio, and d is the budget balance as a percentage of GDP in the financial years from 1910 to 1911 to 1925 to 1926. However, using a small sample, such as the one used in this study, means that the level of uncertainty that is always present in econometric tests increases (Gavilales 2019; Ferraz 2023).
The results of these tests are presented in Table 2, where it is possible to observe that s, b, and d are stationary series in their first differences I(1), with p also possibly being an I(1) series (only the unit root test with structural breaks presented a different conclusion).
From the outset, the non-stationarity of the budget balance ratio (d) is clearly an unfavourable result for the sustainability of fiscal policy/public finances. However, as the debt ratio (b) presented the result of I(1), we decided to continue to progress to the cointegration tests of revenues and expenses expressed as a percentage of GDP. We thus start by performing the two-step cointegration test, known as the Engle–Granger test (Engle and Granger 1987), which is in line with both the procedure proposed by Hakkio and Rush (1991) and our Equations (9) and (10).
The results are expressed in Table 3:
As can be seen, the estimated coefficient of β predicted in Equation (10) did not present statistical significance in the regression, and therefore should the first step fail, it is normal that the second also failed, that is that the estimated residuals ( u ^ ) are not stationary. Therefore, according to this test, we found no cointegration between revenues and expenses.
In order to obtain a more robust conclusion, we also decided to perform the Johansen cointegration tests (Johansen 1988, 1991; Johansen and Juselius 1990). These new results are reported in Table 4.
The results of these Johansen tests indicate that no cointegrating vectors were found, which confirms the results of the Engle–Granger test. In this sense, we can effectively conclude, with relative comfort, that there was no cointegration between the revenues and expenses during the period in question.
By analysing the set of results obtained, in the context of the literature, it is possible to conclude that despite the public debt ratio having decreased, due to the strong inflationary period, and that this variable is stationary in its first differences, the results relating to the budget balance (absence of stationarity) and revenue and expenditure (absence of cointegration) violates the state’s intertemporal budget constraint, which is synonymous of an unsustainable fiscal policy (or unsustainable public finances) during the Portuguese First Republic (1910–1926). This conclusion is quite different from those already obtained for other periods for which it was possible to conclude that there was sustainability, such as during the period between the Second World War (1939–1945) and the beginning of the 1970s (see Martins 2015), and also for Estado Novo, 1933–1974 (see Ferraz 2017), and Democracy, 1974–present (see Ferraz et al., forthcoming), regimes.

5. Conclusions

The First Republic (1910–1926) was a Portuguese political regime which was marked by enormous instability at the most diverse levels. It is relatively consensual that entry into the First World War (1914–1918) as a combatant during the first years of this regime had harsh and relatively prolonged consequences for Portugal, and that this was one of the main factors for its relatively short life.
From a financial point of view, budget deficits predominated, which were higher during the war owing to the increase in military expenditure. Given the enormous difficulties in obtaining finance, a large proportion of these deficits were financed through loans obtained from the Banco de Portugal, which increased the money supply. As a result, inflation soared, with the escudo devaluing significantly against the pound. The scarcity of essential goods on which Portugal was heavily dependent also contributed to this inflationary process. The prices of imports increased during the war, which, in turn, led to hunger and paralysis of important sectors. Indeed, inflation continued to be a problem after the war ended, which contributed to weakening the regime. However, this problem resulted in a sharp reduction in the public debt/GDP ratio, which was explained by the growth of nominal GDP, given that the debt stock grew at high rates.
By testing the sustainability of fiscal policy—which is also referred to in the literature as sustainability of public finances—during this troubled period, and by using econometric techniques which are usually used for this purpose, it was possible to conclude that the state’s intertemporal budgetary constraint was violated during the First Republic regime, which equates to unsustainability. This conclusion is justified by both the existence of a non-stationary budget balance and the absence of cointegration between state revenues and expenditures, despite the existence of the stationarity of the public debt/GDP ratio in its first differences in a context where the reduction in this ratio during most of the period in question was due to nominal GDP growth rates, which can be explained by considerable inflationary problems. However, a limitation must be recognised as, in effect, the use of a small sample (with only 16 observations) means that the level of uncertainty which is always present in this kind of applied exercise increases. As is understandable, this is justified by the short duration of the regime itself.
These results are different from those that have already been obtained for other Portuguese regimes, namely for the Estado Novo (1933–1974) and democracy (1974–present). Although the existing literature on the First Republic has already recognised the fact that during this regime, there was instability at the most diverse levels, this paper proves, for the first time and from an applied point of view, that in budgetary terms, there really was unsustainability regarding the conduct of budgetary policy by political decision makers, which enables us to conclude that Portuguese public finances were unsustainable at that time when evaluating this period as a whole (1910–1926).
This paper represents yet another demonstration of how important it is to maintain control of the state’s accounts. In fact, political decision makers must always conduct responsible policies and avoid running high deficits, while leaving public finances in a situation of unsustainability that would significantly aggravate the population. We also hope that this work can be useful for all those who research Portugal’s public finances, as well as the important issue of fiscal policy sustainability, and that it will thus stimulate the carrying out of new and interesting research.

Funding

This work received financial support from the Polytechnic Institute of Coimbra, within the scope of Regulamento de Apoio à Publicação Científica dos Professores e Investigadores do Instituto Politécnico de Coimbra (Despacho n.º 12598/2020).

Informed Consent Statement

Not applicable.

Data Availability Statement

The data supporting the results are available upon reasonable request to the author.

Acknowledgments

I would like to thank the anonymous reviewers, whose comments and suggestions have enable me to improve this paper.

Conflicts of Interest

The author declares no conflict of interest.

Appendix A

Table A1. Sources and notes of figures and tables.
Table A1. Sources and notes of figures and tables.
Figure 1Source: Own calculations, using data from Lains (2003) and Instituto Nacional de Estatística and Banco de Portugal (2021).
Note: The primary sector includes activities related to agriculture, forestry, and fishing; The secondary sector includes activities related to manufacturing, extractive industries, utilities, and construction.
Figure 2 and Figure 3Source: Own calculations, using data from Mata (1993) and Valério (1994, 2008).
Note 1: It was only from 1936 onwards that the financial year of the Portuguese central government corresponds to the calendar year. Up until then, for public accounting purposes, the financial year began on 1 July of each calendar year and ended on 30 June of the following calendar year (see Ferraz 2022a).
Note 2: The budget balance, revenues, and the expenditure exclude the following non-effective items: (1) loans obtained and which, at the time, were accounted for as state revenue; (2) revenues carried over from previous balances; (3) amortisations of public debt, which, at the time, were accounted for as state expenditure; (4) non-effective debt, that is payments made by public entities and received by other public entities.
Figure 4Source: Own calculations, using data from Mata (1993) and Valério (1994, 2008).
Table 1Source: Own calculations, using data from The Maddison Project (2020).
Table 2Source: The tests were performed using Eviews (2022).
Table 3Source: The tests were performed using Gretl (2021).
Table 4
Table A2. ADF tests.
Table A2. ADF tests.
Test with a Constant and without a Trend
VariableLagsTest StatisticConclusion
p t 0−1.39Non-stationary
s t 0−2.00Non-stationary
b t 0−1.43Non-stationary
d t 0−1.85Non-stationary
Test with a Constant and with a Trend
VariableLagsTest StatisticConclusion
p t 0−0.88Non-stationary
s t 0−2.27Non-stationary
b t 0−2.15Non-stationary
d t 0−1.50Non-stationary
Test with a Constant and without a Trend
VariableLagsTest StatisticConclusion
p t 0−3.44 **I(1)
s t 0−5.85 ***I(1)
b t 0−5.39 ***I(1)
d t 0−4.02 ***I(1)
Note 1: The ADF (Dickey and Fuller 1979) tests were performed using Eviews (2022). Note 2: In the ADF tests, *, **, and *** denote the rejection of the null hypothesis ( h 0 ) of a unit root at the 10%, 5%, and 1% levels. The number of lags was automatically chosen by Eviews (2022).
Table A3. PP tests.
Table A3. PP tests.
Test with a Constant and without a Trend
VariableLagsTest StatisticConclusion
p t 0−1.39Non-stationary
s t 2−2.05Non-stationary
b t 0−1.43Non-stationary
d t 1−1.85Non-stationary
Test with a Constant and with a Trend
VariableLagsTest StatisticConclusion
p t 0−0.88Non-stationary
s t 2−2.25Non-stationary
b t 1−2.11Non-stationary
d t 2−1.41Non-stationary
Test with a Constant and without a Trend
VariableLagsTest StatisticConclusion
p t 0−3.44 **I (1)
s t 1−5.71 ***I (1)
b t 1−5.40 ***I (1)
d t 1−4.02 ***I (1)
Note 1: The PP (Phillips and Perron 1988) tests were performed using Eviews (2022). Note 2: In the PP tests, *, **, and *** denote the rejection of the null hypothesis ( h 0 ) of a unit root at the 10%, 5%, and 1% levels. The number of lags was automatically chosen by Eviews (2022).
Table A4. Unit root tests with structural breaks—‘Innovational Outlier Tests’.
Table A4. Unit root tests with structural breaks—‘Innovational Outlier Tests’.
Test with a Constant and without a Trend
VariableLagsBreakTest StatisticConclusion
p t 11917−2.77Non-stationary
s t 01919−3.86Non-stationary
b t 01917−3.34Non-stationary
d t 01914−3.12Non-stationary
Test with a Constant and with a Trend
VariableLagsBreakTest StatisticConclusion
p t 01924−3.11Non-stationary
s t 01919−4.22Non-stationary
b t 01917−3.52Non-stationary
d t 01914−3.46Non-stationary
Test with a Constant and without a Trend
VariableLagsBreakTest StatisticConclusion
p t 01924−4.01Non-stationary
s t 01917−6.40I (1)
b t 31920−8.16I (1)
d t 21920−8.56I (1)
Note 1: The unit root tests with a breakpoint (Eviews 2022; following Perron 1989) tests were performed using Eviews (2022). Note 2: In the unit root tests with a breakpoint, *, **, and *** denote the rejection of the null hypothesis ( h 0 ) of a unit root at the 10%, 5%, and 1% levels. The number of lags was automatically chosen by Eviews (2022).
Table A5. ADF, PP, and unit root tests with a break point for u ^ .
Table A5. ADF, PP, and unit root tests with a break point for u ^ .
Tests with a Constant and without a Trend
ADF
VariableLagsTest statisticConclusion
u ^ 3−2.61Non-stationary
PP
VariableLagsTest statisticConclusion
u ^ 3−1.49 Non-stationary
Unit root tests with structural breaks
VariableLagsBreakTest statisticConclusion
u ^ 319250.32Non-stationary
Note: For information regarding these tests, see notes 1 and 2 of Table A2, Table A3 and Table A4.

Notes

1
On the sustainability of fiscal policy under the Estado Novo and Democracy regimes see, respectively, Ferraz (2017) and Ferraz et al. (forthcoming). The Estado Novo (1933–1974) was a nationalist, corporatist, anti-liberal, authoritarian and anti-democratic political regime. After a short and transitory period of a military dictatorship (1926–1933), Estado Novo began with the Constitution of 11 April 1933 and ended on 25 April 1974, when it was overthrown by the Armed Forces Movement, an event that opened the doors to democracy. See, for example, Rosas (1994, 2001), Léonard (1998), Torgal (2009) and Ferraz (2017, 2022a).
2
The so-called Development Plans (1953–1974) were essential for this industrialisation process. For more on these initiatives, see Ferraz (2020a, 2022b).
3
A conto was an accounting unit of currency equal to 1000 escudos, with the escudo ($) being Portugal’s currency during the period under analysis. On 1 January 1999, the euro replaced the “escudo” (1 euro = 200.482 escudos).
4
Valério’s (2008) data also show that from 1910 to 1926, Portuguese GDP per capita (at 1914 prices) fell by 11%. Some authors even argue that the First Republic represented for Portugal the period of greatest distance in terms of economic development compared with those countries that are currently members of the EU (Mateus 2013).
5
In the literature, it is possible to identify several studies that test the relationship between fiscal policy and a set of other variables (see, for example, Hasanov et al. (2018), Shaheen (2019), Malla and Pathranarakul (2022), Tendengu et al. (2022)).
6
The following algebraic development can be consulted with more detail, such as, for example, in Pereira et al. (2005).
7
Among many others, see, for example, Afonso (2005), Kalyoncu (2005), Ferraz (2018) and Afonso et al. (2022).
8
Although this is the most common and well-known procedures to examine the issue of State solvency and public finances sustainability, this does not mean that no other alternative measures and procedures exist (see, for example, Canofari et al. 2020a; Piergallini and Postigliola 2020). Furthermore, we cannot fail to mention the fact that, in general, albeit not specifically related to fiscal sustainability, some authors argue that a convergence episode can be possible in the presence of non-stationarity and in the absence of cointegration (see, for example, Phillips and Sul 2007). That is to say, we can admit the possibility where a State, at the beginning of the period starts with a very high deficits and presents a strong imbalance between revenue and expenditure, while at the end of the period it presents smaller deficits or even budget surpluses, which would have meant the existence of a budgetary consolidation process in recent years, albeit the absence of stationarity and cointegration persists. However, the methodology used in this paper, which is the one most frequently used, assesses whether the fiscal policy was sustainable when evaluating a given period as a whole. This means that significant deviations between revenue and expenditure, which led to larger deficits should result in the violation of the intertemporal budget constraint, which implies a situation of unsustainability when evaluating a given period as a whole.

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Figure 1. The primary and secondary sectors of Portugal as a percentage of GDP, 1900 to 1970. Source and notes: See Table A1 in Appendix A.
Figure 1. The primary and secondary sectors of Portugal as a percentage of GDP, 1900 to 1970. Source and notes: See Table A1 in Appendix A.
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Figure 2. Military expenditure and budget balance in Portugal (as a percentage of GDP), 1900–1901 to 1925–1926. Source and notes: See Table A1 in Appendix A.
Figure 2. Military expenditure and budget balance in Portugal (as a percentage of GDP), 1900–1901 to 1925–1926. Source and notes: See Table A1 in Appendix A.
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Figure 3. State revenue and expenditure as a percentage of GDP, 1900–1901 to 1925–1926. Source and notes: See Table A1 in Appendix A.
Figure 3. State revenue and expenditure as a percentage of GDP, 1900–1901 to 1925–1926. Source and notes: See Table A1 in Appendix A.
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Figure 4. Portuguese public debt, 1901 to 1926. Source: See Table A1 in Appendix A.
Figure 4. Portuguese public debt, 1901 to 1926. Source: See Table A1 in Appendix A.
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Table 1. GDP per capita in a set of European Countries 1901 and 1910.
Table 1. GDP per capita in a set of European Countries 1901 and 1910.
Real GDP per Capita (Constant 2011 International $), Year 1901Real GDP per Capita (Constant 2011 International $), Year 1910
Austria45655244
Belgium59286478
Bulgaria1722 *1812
Denmark49485906
Finland26083038
France45054726
Germany45765337
Greece18902592
Hungary2681 **3188
Italy33173829
Netherlands54836030
Norway32713826
Poland27002694
Portugal20751957
Romania641784
Spain28852823
Sweden34064053
Switzerland63998048
United Kingdom75167718
Source: See Table A1 in Appendix A. * Data are missing for the year 1901, so this value reports to 1905. ** Data are missing for the year 1901, so this value reports to 1900.
Table 2. Results of the unit root tests.
Table 2. Results of the unit root tests.
VariableADFPPUnit Root Tests with Structural BreaksGlobal Conclusion
p t I(1)I(1)Neither I(0) nor I(1)I(1) or above
s t I(1)I(1)I(1)I(1)
b t I(1)I(1)I(1)I(1)
d t I(1)I(1)I(1)I(1)
Source: See Table A1 in Appendix A. Note: To consult the results of each of the tests, see Table A2, Table A3 and Table A4 in Appendix A.
Table 3. Results of the Engle–Granger cointegration test.
Table 3. Results of the Engle–Granger cointegration test.
Step 1: Estimation of Cointegration Regression by the OLS Method
Result of Step 1: β ^ = 0.22 (0.27)
Step 2: Unit Root Tests for  u ^
TestsResult of Step 2
ADFNon-stationary
PPNon-stationary
Unit root tests with structural breaksNon-stationary
Source: See Table A1 in Appendix A. Note 1: *, **, and *** represent the statistical significance of the regressor at the 10%, 5%, and 1% levels, respectively. The figures shown in brackets are standard errors. Note 2: For more details on the unit root tests, see Table A5 in Appendix A.
Table 4. Results of the Johansen cointegration tests.
Table 4. Results of the Johansen cointegration tests.
LagsRankTrace TestMaximum Eigenvalue Test
h 0 h 1 p-Value h 0 h 1 p-Value
10r = 0r > 0 0.38r = 0r = 10.45
1r ≤ 1r > 10.45r = 1r = 20.45
Source: See Table A1 in Appendix A. Note 1: r is the number of cointegration vectors. Note 2: *, **, and *** represent the rejection of the null hypothesis at the 10%, 5%, and 1% levels. The p-values were automatically computed by Gretl (2021). Note 3: The tests were performed with constant and no trend. The actual lag was chosen in order to optimise the Akaike Information Criterion (AIC), the Bayesian Information Criterion (BIC), and the Hannan–Quinn Information Criterion (HQC).
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