Conclusion
This paper examines the impacts of fiscal policy, namely, net tax and government
expenditure on national saving and its nonlinearity. The empirical model bases on a
reduced-form equation with national saving as a dependent variable, lagged value of
national saving, output gap and fiscal policy as independent variables. Various model
setups in the paper allow for the investigation of the nonlinear effects of fiscal policy.
The two-step system GMM approach was employed to estimate the empirical model, using a
panel of 23 emerging Asian economies in the period of 1999-2015.
The coefficients of lagged national saving imply that persistent long-run effects of
other saving determinants are larger than the short-run effects of the variables in the
model. From the baseline model, net tax and government expenditure behave in a
Keynesian view and an overlapping generation model with finite horizon planning.
Next, dividing the sample into two subsamples yields other distinct results. Although the
effectiveness of fiscal policy on national saving is unproven for the period before 2008,
it becomes more effective after 2008. These findings are substantiated by another setup of
the empirical model, where fiscal policy interacts with a dummy variable, and thus
confirming the nonlinear effect of fiscal policy. In the final setup, another dummy variable
is created to account for two states of the economy, namely, economic expansion and
economic recession. The effect of tax is increased and the effect of government
expenditure is intensified during economic downturn. These results corroborate the
nonlinear behavior of fiscal policy in different economic contexts.
These findings are novel and compelling to authorities in developing countries in the
sense that they urge policy makers to carefully consider the conduct of fiscal policy in
different situation of the economy
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Nonlinear effects of fiscal policy
on national saving
Empirical evidence from emerging
Asian economies
Duy-Tung Bui
School of Public Finance, University of Economics Ho Chi Minh City,
Ho Chi Minh City, Vietnam
Abstract
Purpose – The purpose of this paper is to examine the impacts of fiscal policy, namely, net tax and
government expenditure on national saving and its nonlinearity. The author first investigates whether the
impacts of fiscal policy on national saving have changed after the global financial crisis of 2008. Then, the
author tests the nonlinearity of the relationship by taking account of the economic cycle, namely, economic
expansion (boom) and economic recession (bust).
Design/methodology/approach – The empirical model bases on a reduced-form equation with national
saving as a dependent variable, lagged value of national saving, output gap and fiscal policy as independent
variables. The two-step system GMM approach was employed to estimate the empirical model, using a panel
of 23 emerging Asian economies in the period of 1990-2015.
Findings – The empirical results show that tax policy and expenditure policy follow the predictions of the
overlapping generation model with finite horizon and the Keynesian view. The nonlinearity of fiscal policy is
twofold. The conduct of fiscal policy in the period after 2008 seems effective, while the effect is insignificant in
the period before 2008. Likewise, fiscal policy tends to have more significant effects in bust cycle. The effect of
tax policy is increased during recession, while the effect of government spending is more pronounced during
economic downturn.
Originality/value – The contributions of this paper are twofold. First, it is shown that fiscal policies in the
region had more impacts on national saving after the global financial crisis of 2008. Second, the research
confirms nonlinear impact of fiscal policy on saving behavior during economic recession and economic boom.
Keywords Nonlinearity, Fiscal policy, National saving, GMM
Paper type Research paper
1. Introduction
Asian economies have long been acknowledged among the top savers in the world, but the
situation has become less optimistic after the global financial crisis of 2008. Figure 1 reports
the average national saving to GDP in emerging Asia and other parts of the world, namely,
developed European countries, Latin America, Africa, OECD and developing Eastern
Europe. Among these regions, East Asia always has the highest saving ratio. From the
neoclassical growth theory to endogenous growth model, savings has played an essential
role in obtaining and sustaining a high economic growth. In practice, “takeoff” countries in
the region with high economic growth, including Hong Kong, China, Indonesia, Republic of
Korea, Malaysia, Singapore, Taipei, China, and Thailand have also attained a remarkable
level of savings. However, the region has failed to maintained the upward trend of saving
rate. After the Asian financial crisis of 1997-1998, average saving rate of the region has
Journal of Asian Business and
Economic Studies
Vol. 25 No. 1, 2018
pp. 2-14
Emerald Publishing Limited
2515-964X
DOI 10.1108/JABES-04-2018-0001
Received 28 April 2018
Accepted 2 May 2018
The current issue and full text archive of this journal is available on Emerald Insight at:
www.emeraldinsight.com/2515-964X.htm
© Duy-Tung Bui. Published in the Journal of Asian Business and Economic Studies. Published by Emerald
Publishing Limited. This article is published under the Creative Commons Attribution (CC BY 4.0) licence.
Anyone may reproduce, distribute, translate and create derivative works of this article (for both commercial
and non-commercial purposes), subject to full attribution to the original publication and authors. The full
terms of this licence may be seen at
This research is funded by University of Economics, Ho Chi Minh City, Vietnam.
2
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25,1
increased gradually from 1999 to 2007. This increasing trend was halted at the outbreak of
the global financial crisis of 2008. Since then, it is observed that a declining trend in saving
rate has become visible. The Asian economies have not yet faced the problem of low
national saving rate and poor economic growth like developed countries, such as England,
Australia, the USA. Nevertheless, Barrell and Weale (2010) have warned governments
against a low national saving rate, as a low rate would put a pressure on the total wealth of
future generations.
In addition, a low saving rate would raise another concern in the “rebalancing growth”
path of the region ( Jha et al., 2009). In the long-term, the restructuring process in the
emerging Asia demands that the region must become more independent of external
demands and focus more on satisfying internal demands, i.e. boosting domestic
consumption (Abdon et al., 2014). This is because economic growth obtained with
domestic savings is more sustainable than the growth fueled by foreign demands
(Patra et al., 2017). Yet, there is evidence that economic growth in the region has depended
largely on foreign demands, which made the region vulnerable in the recent global financial
crisis ( Jha et al., 2009). Thus, in a context of low savings, the region would have more
difficulties in pursuing a “rebalancing growth” path.
If that is the case, should governments take any initiative to influence the saving
dynamics? Although governments have long been using fiscal instruments as a tool to
stabilize the economy, foster growth and maintain social equality, the answer to the question
above is not straightforward. From the tax neutral theory of Ramsey (1927) and Keynes
(1936), fiscal policy has been at the center of the research about impacts of government
spending, taxation and debt on the economy. Even in the theoretical ground, there are
contradicting results. Among these theories, two basic opposing views are Ricardian and
Keynesian. In the Keynesian view with price rigidity and aggregate demand, private
consumption depends on income and fiscal policy can affect output. On the contrary, the fiscal
multiplier in the Ricardian view is zero. Table I shows that existing theories about the
relationship between fiscal policy and national saving through the private consumption
channel have not reached a consensus. On the other hand, there are several concerns about the
conduct of fiscal policy to obtain short-term and long-term goals in the emerging Asian
economies. Abdon et al. (2014) argue that fiscal authorities in the region are lacking experience
in using countercyclical fiscal policy, comparing to their counterparts in developed countries.
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East Asia and Pacific (IDA and IBRD countries) Europe and Central Asia (excluding high income)
European Union Sub-Saharan Africa (excluding high income)
Latin America and Caribbean OECD members
Figure 1.
Average national
saving to GDP
in the world
3
Nonlinear
effects of fiscal
policy on
national saving
The motivation of this research is many fold. First of all, despite the fact that the impact
of fiscal policy on economic activities is still ambiguous, Hur et al. (2010) argue that
government spending would play an important role in promoting private consumption in
medium and long term. If we heed the advice of Hur et al. (2010), a long-term vision and
understanding of the relationship between fiscal policy and macroeconomic variables would
be necessary to prepare for a sound fiscal discipline and efficient implementation of fiscal
policy. Furthermore, given the downward trend of national saving rates in emerging Asian
economies, it would be reasonable to examine the possible impact of fiscal policy on the
saving behavior, whether the policy help to promote the saving rate or put a pressure on it.
Answering these questions would help policy makers in the region prepare better for the
restructuring process in the future. Second, if the downward trend of the national saving
rate in the region materialized since 2008 continues, it would create difficulties for local
governments in achieving their growth target and other social-economic goals. Given this
behavior of savings, this paper would like to investigate whether government activities
have the same impact on savings before and after the global financial crisis. Third, there is
evidence about an expansionary fiscal contraction (see e.g. Barry and Devereux, 2003;
Balcerzak et al., 2016; Hogan, 2004). If this is the case, a fiscal contraction can result in a
boom and a fiscal expansion can create a bust in the economic cycle. The expansionary
fiscal contraction effect depends on the economic condition (Giavazzi et al., 2000). These
results imply a nonlinear impact of fiscal variables on private sector. Thus, the research
tends to investigate the possible change in the way fiscal policy affects saving behavior
during economic recession and economic boom.
As a result, the paper would like to investigate the relationship between fiscal policy and
national saving, using a panel of emerging Asian economies. The paper is planned as
follows. First, Section 2 would review the existing literature, analyze the theoretical results
as well as empirical findings. Section 3 provides our empirical model, methodology and a
data description of our sample. Section 4 is devoted to the discussion of the empirical models
and robustness test. Section 5 concludes the study.
2. Literature review
From definition, national saving is the difference between real income (Y ) and private or
household consumption (C) and government spending (G). Or, in another word, the sum of
private saving (Sp) and government saving (SG) is shown in the following:
S ¼ SpþSG ¼ YTCð Þþ TGð Þ ¼ Y CþGð Þ (1)
where T equals to total taxes minus transfer and interest payments. From Equation (1),
impacts of fiscal policy on national saving depend on the response of private consumption to
Impacts of fiscal policy on national saving through private consumption channel
Theory
Increase in net tax (at a fixed level of government
spending)
Increase in government spending
(at a fixed level of tax)
Keynesian Positive Negative
IS-LM framework Unclear Unclear
Model with limited
planning horizon
Positive Negative
Model with unlimited
planning horizon
Unaffected with non-distortionary tax policy.
Negative with distortionary tax policy
Unaffected with non-
distortionary tax policy. Negative
with distortionary tax policy
Source: Giavazzi et al. (2000)
Table I.
Theoretical results
of the impacts of
fiscal policy on
national saving
4
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25,1
changes in net tax and government spending. However, as aforementioned in Table I,
theoretical models have not yet reached a consensus about the relationship. According to
the traditional Keynesian view, an increase in government spending or a decrease in tax
would lower national saving, assuming that household consumption is independent of
government spending. With this assumption, household consumption would rise if net tax
falls. Therefore, when governments increase spending and/or lower net tax would reduce
savings of both sectors, leading to a fall in national saving (Blanchard, 2003).
In a conventional IS-LM framework with a fixed level of government spending, an
increase in tax (or a decrease in transfers) would raise the government budget surplus and
put a pressure on private consumption and private saving. Furthermore, according to
Blinder and Solow (1974), the wealth effect would intensify the negative impact of increasing
government budget on national saving. Yet, the increase in government budget could be
higher or lower than the fall in private saving, which leaves the total effect on national
saving undetermined. In the same manner, a higher government spending, or a lower net tax
would also have equivocal impacts on national saving.
In an overlapping generation model with no heritage and limited planning horizon,
a one-time increase in tax to reduce government debt and attenuate future generation’s tax
burden would reduce net income of current generation, assuming that government spending
is unchanged. Households thus lower their consumption and saving accordingly. However,
the fall in private saving would be lower than the increase in net tax because individuals
would equally divide the reduction in consumption over their life cycle. As a consequence,
the increase in government budget would surpass the reduction in private saving, which in
turn raise the national saving. On the contrary, a higher government spending would lower
private saving. Lower private and public saving imply lower national saving.
On the other hand, an overlapping generation model with unlimited planning horizon
will result in Ricardo equivalence (Barro, 1974). In this aspect, a decrease in net tax with
unchanged present value of government spending would not affect the national saving.
This is because the consumers perceive that, without changes in the government size, a fall
in tax today would only imply more taxes in the future. The consumers thus save the part of
deferred tax for the future. Consequently, a reduction in budget surplus would be offset by
an increase in the private saving, which makes the total national saving unchanged.
Similarly, government expenditure would crowd out private investment in a one-to-one
manner. A unit increase in government spending reduces permanent income by one unit,
and then, one unit of private consumption. From the definition of national saving, this
increase in government spending would not change the total saving. However, these
impacts depend on whether the changes in fiscal stance are temporary or permanent
(Hayford, 2005). A permanent increase in government expenditure would imply a
permanent increase in tax, which is the one-to-one case mentioned above. On the contrary, a
temporary increase in government expenditure would reduce less private consumption, and
thus, reduce the national saving. If tax is raised temporarily, a today increase in net tax
would imply lower tax in the future and change the dead-weight loss of tax at different time.
This in turn affects the present value of income before tax and private consumption. If the
households have infinite planning horizon, the national saving would be lowered.
In addition, there is a strain of literature examining the nonlinear impacts of fiscal policy
on national saving, such as the theoretical models of Feldstein (1982) and Drazen (1990).
These theories were then developed by Blanchard (1990). A traditional framework should
contain two periods with two types of consumer. The neoclassical consumer can borrow and
save, while Keynesian consumer can only save. Government finances the increasing
expenditure by taxing both types of consumer. Government expenditure affects disposable
income positively. The impacts of fiscal policy will then be investigated in both periods for
both consumers. These theoretical frameworks show that fiscal policy is positively related
5
Nonlinear
effects of fiscal
policy on
national saving
to consumption decision, and eventually national saving. Besides, the Keynesian consumers
suffer more than the neoclassical consumers in economic recession because of their liquidity
constraints, which require them to spend all the changes in disposable income.
On the empirical ground, Pradhan and Upadhyaya (2001) base on an error correction
model to conclude that deterioration in budget deficit lowers national saving. Using a panel
of OECD countries, Giavazzi et al. (2000) examine the nonlinear relationship between fiscal
policy and national saving. The results show that the effects in fiscal contractions are
stronger than those in fiscal expansions. The effect of an increase in net tax is insignificant
in time of tight fiscal policy, while significantly positive in time of less pronounced fiscal
contractions. The level of public debt does not explain the nonlinearity. Hayford (2005)
conducts a study for the US economy and concludes that fiscal policy, in particular
government expenditure, strongly impacts national saving and output gap. Chinn et al.
(2014), Chinn and Ito (2007), Huntley (2014), Röhn (2010) find the positive relationship
between budget deficit and national saving. Deficit in government budget balance leads to
an increase in private saving, but the increase is less than the deficit and thus national
saving falls. Chun (2007) comes to the conclusion that the increasing aging speed of the
population and government budget imbalance in long-term lower the national saving ratio
in Korea. In another study, Barrell and Weale (2010) show that the authority can affect the
low saving rate in England through the conduct of fiscal policy, transfers and real estate’s
prices. Arestis and Resende (2015) base on the Keynesian point of view to conclude that
fiscal deficit would change the relative prices in the economy, and eventually affect net
export, national saving and current account. However, the degree of the Keynesian twin
deficit in the study is low because the systemic relationship between the expansionary fiscal
policy ( fiscal deficit) and the increase real exchange rate does not exist.
3. Empirical model and data
3.1 Empirical model
From the theories and definition from Section 2, the study will examine the impacts of fiscal
policy on national saving using a reduced-form empirical model with national saving being
a dependent variable. The empirical model would take the form of:
nsit ¼ b1nsi;t1þb2gapitþg0taxitþa0expitþZitþmtþeit (2)
where ns, gap, tax, exp denote national saving, output gap, net taxes and government
expenditure, respectively. ηi and μt are individual fixed effect and time fixed effect,
respectively. εit denotes the model random error. All the variables are calculated as a
percentage of potential GDP.
There are several advantages in using national saving as a dependent variable:
according to Hayford (2005), fiscal policy would directly affect national wealth through its
effect on national saving; using national saving allows for direct comparison with the
prediction of Ricardian equivalence theorem (Giavazzi et al., 2000); and Barrell and Weale
(2010) advise governments to watch out for a low national saving rate, since only a high
saving rate could create more wealth for the future generation. Hence, the priority would be
looking straightforwardly at the national saving, rather than examining whether the saving
comes from private or public sector.
In order to account for the possible multicollinearity when the right hand side of
Equation (2) contains both government revenue and government expenditure, Miller and
Clarke (2014) propose the removal of several components from government revenue or
government expenditure. For instance, the use of net taxes, i.e. taxes minus transfers,
would attenuate the problem of multicollinearity in this context. Moreover, the
use of potential GDP in the calculation of the variables would bring some advantages
6
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25,1
Hayford (2005): improve the stationary characteristics of the variables; render the sample
unaffected by fluctuations in the business cycle. Besides, according to Giavazzi et al.
(2000), the variable output gap to potential output on the right hand side of Equation (2)
would control for the response of private saving and government budget surplus to
fluctuations in income.
In Equation (2), there are possibilities of endogenous problem involving the fiscal variables.
For instance, automatic stabilizers in the tax code and the fiscal discipline of each county react
to the business cycle (Giavazzi et al., 2000). Because the tax code contains such automatic
stabilizers, government revenue would fluctuate along with the economic cycle. As a
consequence, government revenue and national saving would response to a same shock.
In the Keynesian view, investment and national saving positively correlate the business cycle.
Besides, the fiscal discipline and implementation of the tax code would be other sources
of endogeneity.
In the same manner, the study implements another setup to test for the hypothesis in
Abdon et al. (2014) and Hur et al. (2010) that there was success in the conduct of fiscal policy
in the region after the financial crisis. To this end, the empirical model is set up as:
nsit ¼ b1nsi;t1þb2gapitþg0taxitþg1taxit y08þa0expitþa1expit y08þZitþmtþeit (3)
In Equation (3), y08 is a dummy variable, which takes the value of 1 for the years after 2008,
and 0 otherwise. Such construction of the dummy variable would allow an investigation of a
nonlinear impact of fiscal policy on the dependent variable. The year 2008 is chosen for
several reason: based on the timeline in Filardo et al. (2010), the year 2008 is considered
the beginning phase of the global financial crisis; and based on our observation of the
average saving rate in the region, the upward trend ended in 2007 and the year 2008 marked
the emergence of a downward trend in average saving rate.
Next, the model was expanded by looking at the impact of fiscal policy on national
saving during boom and bust cycle. In order to examine this changing impact, fiscal policy
variables are allowed to interact with a dummy variable, which captures the boom and bust
of the cycle. The empirical model will thus take another form of:
nsit ¼ b1nsi;t1þb2gapitþg3taxitþg4taxit Ditþa3expitþa4expit DitþZitþmtþeit (4)
The dummy variable Dit represents two states of the economy: expansion and recession,
depends on changes of the business cycle. The recession state depends on the value of
output gap to potential output, obtained by using Hodrick-Prescott’s filter. The dummy
variable takes the value of 1 when the output gap is negative, and 0 otherwise. This setup
allows the study of the possible nonlinear impacts of fiscal policy on national saving.
The signs of the coefficients g3, α3 would show the impacts during economic expansion.
Since during boom, the value of Dit is zero so g4 and α4 do not appear in Equation (4). On the
contrary, Dit takes the value of one during economic downturn, so the signs of the
coefficients g4 and α4 would reveal how the effects changes during economic recession.
In other words, total impact of fiscal variables during economic recession can be calculated
as (g3+ g4) for tax and (α3+ α4) for spending.
3.2 Empirical methodology
Equations (2)-(4) take the form of a dynamic panel data model, in which both the dependent
variable and the regressors are affected by the same shock or some of the regressors
significantly correlate with the lags of the dependent variables. This notion of endogeneity
is also discussed in Section 3.1 above. To address the issue of endogeneity among the
variables, the coefficients of the empirical models are estimated using the method of GMM,
proposed by Arellano and Bond (1991) and completed by Arellano and Bover (1995) and
7
Nonlinear
effects of fiscal
policy on
national saving
Blundell and Bond (1998). Equations (2)-(4) would take the general form of a dynamic panel
model as:
yit ¼ Ayi;t1þB Lð ÞXitþZiþeit (5)
Transforming Equation (5) into a differenced equation, we get:
Dyit ¼ ADyi;t1þB Lð ÞDXitþDeit (6)
where Δ denotes first difference. Differencing would make Δyi,t−1 correlate with Δεit and
render the estimates of Equation (6) biased. To address this problem of endogeneity,
Arellano and Bond (1991) propose using lags from yi,t−2 as instruments for Δyi,t−1 since
yi,t−2 is related to Δyi,t−1, but unrelated to Δεit, given that εit is not autocorrelated:
E yi;tsDeit
¼ 0 with t ¼ 3; . . .; T and sX2
On the other hand, the assumption of strict exogeneity would not be valid in the case of
reverse causality (E [Xi,tεit]≠ 0 with tos). Hence, in case of weak exogenous variables or
predetermined variables, only their own lags can be used as instruments:
E Xi;tsDeit
¼ 0 with t ¼ 3; . . .; T and sX2:
Equations (2)-(4) can be estimated using one-step GMM with the assumptions of
unautocorrelated error terms and homoscedasticity in both dimensions, cross-section and
time. If these assumptions fail to hold, two-step GMMwould give asymptotically more efficient
results. This is because two-step GMM builds its variance-covariance matrix using a consistent
estimate of the weighting matrix taking from the residuals of the one-step GMM. Yet, two-step
GMM would downward bias the standard errors (Arellano and Bond, 1991). This downward
bias can be fixed by using the finite sample correction of the two-step variance-covariance
matrix proposed byWindmeijer (2005). This adjusted variance-covariance matrix helps robust
two-step GMM to yield more efficient results than one-step GMM. Moreover, Arellano and
Bover (1995) and Blundell and Bond (1998) improve the estimation of Arellano and Bond (1991)
by assuming that the correlation between the first difference of instrumental variable and the
fixed effect does not exist. This assumption would allow more instruments and improve
the estimation. This approach is referred as system GMM, as opposed to the version of
differenced GMM in Equation (5). The method of system GMM involves the estimation of two
simultaneous equations: the level equation and the first-order differenced equation. In the level
equation, lagged differences are used as instruments, while the differenced equation uses
lagged levels as instruments.
One problem with the use of Windmeijer’s variance-covariance matrix involves the result
of Sargan over-identifying test. According to Roodman (2009), the adjusted Windmeijer
(2005) matrix would yield inconsistent results of Sargan test. To this end, the study
proposes the use of Hansen-J over-identifying test. Besides, it is necessary to account for the
autocorrelation of εit by testing the null hypothesis: Δεit are not correlated at second
order[1]. Rejection of the null hypothesis implies autocorrelation of εit and thus the GMM
estimates would be inconsistent.
3.3 Data
In this paper, a panel data set of 23 emerging Asian economies, spanning from 1990 to 2015
is used to determine the impact of fiscal policy on national saving. The sample is extracted
from the database of the Asian Development Bank. The national saving is calculated using
the definition provided by Equation (1). Net tax is the difference between total tax revenue
and transfers (grants). Government expenditure is the government final consumption.
8
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25,1
The output gap is quantified using Hodrick-Prescott’s filter, with the recommended
smoothing parameter of 6.25 for annual data. Table II reports the summarized statistics for
all variables in the empirical model.
4. Empirical results
In Section 3, several aspects regarding the empirical models and methodology are discussed.
Section 4 will be devoted to the analysis of the estimated models and their coefficients.
Since the estimation method for the dynamic panel models in the study is two-step system
GMM, Table III displays several statistics in the lower part in order to assess the validity of
the GMM’s estimators.
(1) (2) (3) (4) (5)
Baseline Before 2008 After 2008 Nonlinear 1 Nonlinear 2
L.National
saving 0.671*** (5.38) 0.777*** (8.74) 0.772*** (4.46) 0.979*** (4.22) 0.707*** (6.58)
Output gap 0.0194 (0.14) −0.0195 (−0.05) −0.360 (−0.78) −0.0519 (−0.14)
Net tax 0.687*** (4.98) 0.127 (0.38) 0.871** (2.17) 0.0636 (0.16) 0.601 (3.14)
Government
expenditure −0.163** (−2.07) 0.122 (0.68) −0.358** (−2.73) −0.0667 (−0.49) 0.113 (0.84)
y08 29.65 (1.52)
Net tax #y08 1.340* (1.88)
Government
expenditure
#y08 −2.200* (−1.96)
dum 1.055 (0.30)
Net tax #dum 0.410** (2.26)
Government
expenditure
#dum −0.269** (−2.15)
Observations 546 376 170 546 548
Number of
instruments 20 22 17 19 20
AR(1) −2.22 −2.53 −1.81 −2.08 −2.28
AR(1) p-value 0.026 0.011 0.070 0.038 0.023
AR(2) 1.12 0.40 0.53 0.87 1.05
AR(2) p-value 0.26 0.69 0.59 0.39 0.30
Hansen-J p-value 0.44 0.25 0.62 0.47 0.34
Notes: y08, a dummy variable which takes the value of 1 for all the years after 2008 and 0 otherwise. dum, a
dummy variable representing the period of economic recession. t-statistics in parentheses. The notations AR(i)
and AR(i) p-value with i¼ 1, 2 report the Arellano-Bond test of autocorrelation of order i and its p-value,
respectively. Hansen-J p-value reports the p-value of Hansen’s J-test of over-identifying restrictions. *po0.1;
**po0.05; ***po0.01
Table III.
Empirical results
using two-steps
system GMM with
national saving as
dependent variable
Observations Mean SD Min. Max.
National saving 583 23.84 13.09 −15.91 65.17
Output gap 595 −0.04 2.54 −24.44 13.03
Net tax 575 14.86 5.89 2.22 44.61
Government expenditure 581 22.70 8.16 7.80 68.64
y08 598 0.31 0.46 0.00 1.00
Dummy (D) 598 0.50 0.50 0.00 1.00
Table II.
Summarized statistics
9
Nonlinear
effects of fiscal
policy on
national saving
One problem with the GMM’s estimators involves the large number of instrumental
variables. Roodman (2009) proposes several methods for reducing the number of
instruments, which are limiting the number of lagged instruments or combining the lagged
values into a smaller matrix. A study can use one or both of these methods. In this paper, the
number of instruments follows the rule of thumb that, in every model, the number
of instrumental lags is always smaller than the cross-sectional dimension, i.e. the number of
countries in the sample. All the estimated models satisfy this requirement. Regarding the
problem of autocorrelation of the error terms, the statistics of Arellano-Bond test of
first- and second-order autocorrelation are reported. By construction, the error terms are
autocorrelated at first order, which make the statistics of the AR(1) test significant at
5 percent in all models, except for Model 3, which is significant at 10 percent. The results of
the AR(2) test do not reject the null hypothesis that the errors are uncorrelated at second
order at all significant levels. In the last row of Table III, the Hansen-J p-value would help to
determine the appropriateness of the instrumental lags. The null hypothesis of Hansen-J
over-identifying tests is not rejected, thus ensures the moment condition.
Overall, the coefficients of lagged values of the dependent variable are significantly
positive and less than 1, across all models. These conditions are necessary to ensure the
steady state assumption, which requires the dependent variable to converge toward its
steady state value. The absolute value of the coefficient of lagged dependent variable
needs to be less than 1 to ensure the convergence. The range of the coefficients in all
models spans from 0.671 to 0.979, implying the persistent and convergent effect of the first
lag. The effect of output gap on national saving is ambiguous, given the insignificance of
the coefficients across the models.
The results of the baseline model in Equation (2) are reported in column (1) of Table III.
The coefficient of net tax is positive and significant at 1 percent, while the coefficient of
government expenditure is negative and significant at 5 percent. The results support the
forecast of the overlapping generation model in case of finite planning horizon and the
Keynesian framework, but refute the conclusion of infinite planning horizon overlapping
generation model. In this study, the effect of net tax on national saving does not support the
idea of Ricardian equivalence. However, because empirical studies have not reached a
consensus on the Ricardian equivalence theorem, the results of this study can still conserve
their validity. On the empirical ground, the results are in line with Giavazzi et al. (2000),
Hayford (2005), Pradhan and Upadhyaya (2001).
4.1 Impact of fiscal policy on national saving before and after 2008
As aforementioned, the study is motivated by the hypothesis that the use of fiscal
stimulus packages to counter the adverse consequences of the financial crisis in 2008 is
effective. To this end, the study tests this hypothesis using two different approaches to
ensure the validity and robustness of the results: on one hand, the sample is divided into
two subsamples, before 2008 and after 2008[2]. Then, the baseline model is estimated
accordingly for both subsamples; on the other hand, the hypothesis is tested by
introducing a dummy variable, as explained in Equation (3). The results of the two
subsamples are displayed in columns (2) and (3) of Table III, respectively. Column (4)
shows the estimations of Equation (3) with the 2008 dummy variable.
For the subsample of the period before 2008, the coefficients of both net tax and
government expenditure are not significant. The effects of fiscal policy in this period
support the predictions of the traditional IS-LM framework and the overlapping generation
model with infinite planning horizon and non-distortionary tax. To check the validity of the
result, the subsample is divided into another two sub-subsamples, before 2000 and from
1999 to 2008. But the results remain robust, pointing out the insignificant effects of net tax
and government expenditure during the period before 2008[3].
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Turning to the results of the period after 2008, as displayed in column (3), the effect of net tax
is positively significant, while the effect of government expenditure is negatively significant.
These conclusions are similar to the results of the baseline model. It seems that the conduct of
fiscal policy has significant effect on national saving after 2008. Yet, the significant effect is not
found in the period before 2008. These findings would confirm the first aspect of nonlinear
effects of fiscal policy in the region.
This assertion is corroborated by the estimate results of Equation (3), displayed in
column (4). In this model, fiscal policy variables are allowed to interact with a dummy
variable, which takes value 1 for all the year from 2008 to 2015, and 0 otherwise. In this
setup, the effect of net tax in the period before 2008 is determined by the estimated value
of g
0
in Equation (3), while the effect after 2008 is calculated by the sum of the estimated
value of g
0
and g
1
. Likewise, the effects of government expenditure before 2008 and after
2008 are determined by the estimated value of α
0
and (α
0
+ α
1
) in Equation (3),
respectively. It can be observed from column (4) of Table III that only the coefficients of
the two interaction terms are significantly different from 0. The estimated coefficients of
g
0
and α
0
are not significant, which substantiate the conclusions about the insignificant
effect of fiscal policy on national saving before 2008 and partly support the Ricardian
equivalence theorem.
4.2 Nonlinear relationship during boom and bust
In the next model setup, the nonlinearity of fiscal policy is further investigated with the
estimated results of Equation (4). In this equation, the period of economic recession is
defined as the years where the output gap is negative, while a positive output gap implies
a period of economic expansion. Interpretation of the coefficients in Equation (4)
would be similar to those of Equation (3). The estimated values of g
3
and α
3
, respectively,
stand out for the effects of net tax and government expenditure on national saving
during boom period. The effects during bust should be interpreted as the estimates of
(g
3
+g
4
) and (α
3
+α
4
).
The results in column (5) of Table III show that the effects of fiscal policy are different
between boom and bust cycle. The estimated coefficient of net tax is 0.601 and of
government expenditure is 0.113 in economic expansion, however, these coefficients are
not significant. During economic recession, the effect of net tax increases by 0.410, which
is significant at 5 percent level. While the effect of government expenditure is reduced by
−0.269 at 5 percent level of confidence. The effect of fiscal variables on national saving
behaves in a Keynesian manner and does not support the idea of Ricardian equivalence in
economic recession. The negative effect of government spending during economic
downturn is more striking, given the fact that both public and private saving are affected
by the same adverse shock of a bust cycle.
5. Conclusion
This paper examines the impacts of fiscal policy, namely, net tax and government
expenditure on national saving and its nonlinearity. The empirical model bases on a
reduced-form equation with national saving as a dependent variable, lagged value of
national saving, output gap and fiscal policy as independent variables. Various model
setups in the paper allow for the investigation of the nonlinear effects of fiscal policy.
The two-step system GMM approach was employed to estimate the empirical model, using a
panel of 23 emerging Asian economies in the period of 1999-2015.
The coefficients of lagged national saving imply that persistent long-run effects of
other saving determinants are larger than the short-run effects of the variables in the
model. From the baseline model, net tax and government expenditure behave in a
Keynesian view and an overlapping generation model with finite horizon planning.
11
Nonlinear
effects of fiscal
policy on
national saving
Next, dividing the sample into two subsamples yields other distinct results. Although the
effectiveness of fiscal policy on national saving is unproven for the period before 2008,
it becomes more effective after 2008. These findings are substantiated by another setup of
the empirical model, where fiscal policy interacts with a dummy variable, and thus
confirming the nonlinear effect of fiscal policy. In the final setup, another dummy variable
is created to account for two states of the economy, namely, economic expansion and
economic recession. The effect of tax is increased and the effect of government
expenditure is intensified during economic downturn. These results corroborate the
nonlinear behavior of fiscal policy in different economic contexts.
These findings are novel and compelling to authorities in developing countries in the
sense that they urge policy makers to carefully consider the conduct of fiscal policy in
different situation of the economy.
Notes
1. Δεit is by construction correlated at first order.
2. The subsample after 2008 includes the year 2008.
3. The results of the two sub-subsamples are not reported, but will be available upon request.
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Corresponding author
Duy-Tung Bui can be contacted at: tungbd@ueh.edu.vn
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