IJSSHE-International Journal of Social Sciences, Humanities and Education
Volume 1, Number 1, 2017
ISSN 2521-0041
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PROBING THE EVIDENCE OF TRIPLE DEFICIT
HYPOTHESIS IN PAKISTAN
Wajid Ali
Sustainable Development Policy Institute, Islamabad, Pakistan
Azizullah Kakar
International Islamic University, Islamabad, Pakistan
ABSTRACT
This research seeks to empirically test a third dimension to the twin deficit hypothesis and
examines the co-movement of a third deficit known as the current and financial account balance. A
conceptual framework based on income expenditure approach is developed for co-integration. The
study uses annual data of Pakistan covering the period 1980 to 2014. The ARDL bound testing
approach finds that the three deficits namely budget deficit, current account deficit and capital and
financial account deficit are linearly correlated in the long-run. Further the study found that
causality runs directly from current account to budget balance and financial balance, which is a
strong evidence of triple deficit hypothesis.
KEYWORDS
Capital and Financial Account; Budget Deficit; Current Account Balance; Twin Deficits
1. INTRODUCTION
The co-movement between budget deficit and current account deficit are known as twin deficit
hypothesis and is discussed extensively in literature (Miller & Russek, 1989); (Cavallo, 2005, inter
alia). This phenomenon was first observed in 1980s when U.S economy faced deterioration in both
current account balance and budget deficit. Economists were of the view that the large deterioration
in current account balance is because of record level budget deficit. Later, this mutual connection
was given the name of twin deficit hypothesis.
There are some traditional theories that explain the interconnection between budget deficit (BD)
and current account deficit (CAD). The first basic transmission mechanism in which budget deficit
causes current account deficit is explained by formal Keynesian cross approach. Per this approach,
budget deficit is caused by a positive shock to government spending or decrease in taxes. This
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----------------------------------------------------------------------------------------------------------------------expansionary fiscal policy induces expansion in aggregate demand, then increases imports and
hence current account balance deteriorates. The second relationship between government deficit
and current account deficit is determined by Mundell-Fleming model. The basic assumptions in
Mundell-Fleming model are perfect mobility of capital (the economy can borrow or lend as much
as it wants in world’s financial markets) and small open economy. The budget deficit (caused
either by increase in government expenditure or cut in taxes) increases domestic interest rate which
brings on capital inflow and consequently domestic currency appreciation. The current account
balance deteriorates because of appreciation of domestic currency and so does twin deficit running
from budget deficit to current account deficit, (Fleming, 1962; Mundell, 1963; Kearney &
Monadjemi, 1990). Finally, the twin deficit hypothesis is also explained by the Feldstein and
Horioka puzzle. Feldstein and Horioka (1980) were of the view that if savings and investment are
not highly correlated then budget deficit (BD) and current account deficit (CAD) can move
together, because independence of savings and investment means capital mobility is high.
However, this conventional view is challenged by the Ricardian equivalence hypothesis (Barro,
1974; 1989). Per this view, for a given expansionary fiscal policy the substitution of debt for taxes
has no effect on aggregate demand nor on interest rate, which means that an increase in taxes
cannot affect external deficit. However, if Recardian Equivalence does not hold, even then there is
a scope of causal relationship between current account deficit and budget deficit.
The current account balance and financial account balance moving side by side are graphed below
in figure 1 over a sample period which notifies the third deficit. The motivation behind this study is
the initial observation of the third deficit which lead us to search and examine the latent
macroeconomic issue of the third deficit particularly in case of Pakistan. The persistent budget
deficit (2.4 to 8.8 percent of GDP) along with current account deficit (0.7 to 7.2 percent of GDP)
remains an important issue for policy makers in Pakistan. The fluctuations in these two indicators
provide useful intuition regarding macroeconomic policy and its responsiveness to autonomous
shocks. But it is also possible that this long-lasting budget and current account deficit may worsen
the financial account. Keeping in view the severity and importance of the issue, several studies in
Pakistan tested the causal relationship between current account deficit (CAD) and budget deficit
(BD) and reached to different conclusions (Zaidi, 1995; Burney & Akhter, 1992; Burney &
Yasmeen, 1989; Kazmi, 1992; Aqeel & Nishat, 2000; Mukhtar et al. 2007; Hakro, 2009; Siddiqui,
2009; Saeed & Khan, 2012). However, majority of the studies used linear Granger causality to test
the validity of the twin deficit; a technique only capable of testing short run relationships.
Figure1. Evidence of the third Deficit
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----------------------------------------------------------------------------------------------------------------------Other studies, like Lau et al. (2010), emphasized on economies affected by Asian crisis and found
evidence that twin deficit exists in Malaysia, Philippines and Thailand. Similarly, Lau & Tang
(2009) uses cointegration and causality tests and confirms the twin deficit hypothesis for
Cambodia. Nevertheless, both theoretical and empirical evidence are found in the literature
regarding the relationship among budget balance (general government saving, BB), Current (trade)
account balance (CA) and capital and financial account balance.
This study aims to extend the traditional twin deficit hypothesis and introduces a third deficit
known as financial account deficit which is defined as the sum of capital account and financial
account. A deficit in current account means surplus in capital and financial account because the
current account deficit is financed through sale of domestic asset to non-nationals and the other
way around. Some studies (Wong & Carranza, 1999; Yan, 2005; Lau & Nelson, 2011) are
conducted with the aim to find whether current account and financial account are mutually
dependent are not. Although the findings of these studies and the prevailing studies on twin deficit
support the interdependence of current and financial account. However, they did not find any
evidence in favour of the third deficit. The prime objective of the proposed study is to explain and
meet the gap by suggesting an investigative framework that challenges the tri-deficit hypothesis.
2. MATERIAL AND METHODS
2.1. Theoretical Background and Transmission Mechanism
The tri-deficit hypothesis is explained properly by traditional Keynesian framework, predicting that
the third deficit resulting from twin deficit can be explained by two possible channels. Per
Keynesian framework, the loanable fund model and net capital outflow proposes that budget deficit
has uncertain impacts on financial account. Firstly, it observes that an increase in budget deficit
(negative saving) will raise the domestic interest rate which will in turn increase the expected yield
of the domestic financial assets. Thus, the financial account will improve because of increase in
capital inflows and decrease in outflows. The second channel through which twin deficit leads to
financial account deficit can be explained by exchange rate market. The foreign (domestic)
financial assets will become less-expensive (more-expensive) domestically (internationally)
because of appreciation of the real exchange rate caused by twin deficit and hence deteriorate the
financial account. The presence of the triple deficit hypothesis assumes that exchange rate channel
is more powerful than interest rate channel. Provisionally, there exists one way causation running
either from budget deficit to current account then financial account (BB -> CA -> FA, where “->”
signifies “does Granger-cause”) or from budget deficit to financial account (BB -> FA), or both.
The graphical representation of the two channels is shown below.
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Ali, Kakar
----------------------------------------------------------------------------------------------------------------------Budget
Deficit
increases
Expected Yield
of Domestic
Financial Asset
will rise
Financial Account will
improve because of capital
inflow
Budget
Deficit
The Domestic
Interest rate
Will
Will lead to
deterioration of
financial account
Appreciate the
exchange rate
Domestic
Financial Asset
will become
expensive in
International
market
Figure 2. Mechanism of triple deficit hypothesis
2.2. Income-Expenditure Approach to Triple Deficit Hypothesis
Using the income-expenditure approach in the context of general equilibrium, this subsection
provides a theoretical groundwork of tri-deficits hypothesis. This is done by analysing the
relationship between twin deficits and financial account (FA) deficit. The use of this approach is
justified by (Tang & Fausten, 2012) stating that “the empirical finding of two-way causality
reinforces the intuition that temporally based causality relationships may not reveal the true
structural relationship which exists.” Tang & Lau, (2011) also use this approach to re-examine the
twin deficit hypothesis in U.S.
2.2.1. Twin Deficits
As we know that goods market is in equilibrium when planned expenditure (E) equals planned
output (Y) per period, i.e. E = Y. Since planned expenditure (E) E = C+I+G+(X-M) and Y =
C+ +T, the alternate representation of the income-expenditure approach is written as I+G+X =
+T+M1. National saving denoted by
is the sum of public and private saving resulting the
trade balance as
X-M =
(1)
Where C, I, G, X, M, T and
represent domestic consumption of goods and services, domestic
investment, domestic government expenditure, export of goods and services, import of goods and services,
total tax revenue and private saving respectively.
1
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Probing the Evidence of Triple Deficit Hypothesis in Pakistan
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----------------------------------------------------------------------------------------------------------------------Which is planned net national saving. The trade balance i.e. X-M is identical to the sum of net
private saving and budget surplus i.e. X-M =
. Rewriting the above construction
and denoting the trade balance and budget balance as CA = X-M and BB = T-G respectively show:
CA = (
-I) + BB
(2)
Equation (2) tells us that budget deficit is counterbalanced by an increase in private saving and fall
in domestic investment or exports. This adjustment process will plunge the trade balance as seen in
twin deficit hypothesis.
2.2.2. The Mutual Dependence of Current, Capital and Financial Account
The alternative measure of current account in the balance of payment account is the capital and
financial account (FA), which per Coughlin et al. (2006) measures worldwide the stream of capital
assets. Fausten (1989) provided theoretical basis for the mutual dependence between current and
capital accounts. How financial and real sectors respond to systemic turmoil and their collaboration
during the adjustment process is the impression by these mutual dependences of accounts. The
seminal work of Fausten (1989) is extended by Tang & Fausten (2012) and found evidence in favor
of interdependence of current and financial accounts. The subsequent balance of payment identity
is written as BoP = CA +FA ≡ 0.
Ultimately the financial sector deficit (-FA) resulting from floating exchange rates is financed
totally by the excess exports (X > M) in the goods and service sector while the trade deficit (M >
X) is funded either by net capital flows or foreign inflows. The national saving in open economy
could be either invested at home or overseas to write the saving-investment relation as Sn = Id + I*
where I* is foreign investment equivalent to I* ≡ CA = -FA. Tang & Fausten (2012) noted that to
satisfy following equation,
(Sn -I) = CA = -FA
(3)
it is necessary to acquire the foreign assets (FA < 0) equivalent to the domestic real assets and
transfer to foreign investor.
2.2.3. Tri-Deficits
With this background, we are finally going to construct an investigative framework of tri-deficit
phenomena based on the Keynesian cross approach. This will be based on the central idea of twin
deficit hypothesis and the mutual dependence of current and financial account. By substituting
equation (3) into (2), the balancing position of current account (CA = -FA + BB) assumes that Sn ≡
Sp. The cointegration approach will assure the triple deficit hypothesis after re-organizing the
above counterbalancing position and assigning a negative sign to respective balance given as
under;
-BB = -CA -FA
(4)
In other words, the co-movement of the three series BB, CA, and FA will reinforce the tri-deficit
hypothesis. Speaking differently, the budget deficit in the long-run will be offset exactly by the
combined deficit of current and financial accounts. It is also observed that the deficit in mutually
dependent current and financial accounts is because imports are funded by real sector resources
(instead of financial) as financial account and fiscal account are already in deficit.
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2.3. Data
Using Pakistan’s annual data from 1980 to 2014, this section provides the evidence for triple deficit
hypothesis in Pakistan. The series included in the study for analysis is budget balance (general
government saving, BB) in million rupees and is obtained from State Bank’s Handbook of statistics
on Pakistan’s economy. Current (trade) balance (CA) defined as the difference between exports
and imports is collected from economic survey of Pakistan on various issues; and capital and
financial account balance is defined as all transactions between an economy and the rest of the
world in goods, services; and income including change in reserves (FA) is retrieved from World
Economic Outlook Database (accessed on April 2015).
3. RESULTS AND DISCUSSION
The results of ADF test presented in Table 1 inform us about the order of integration of the given
series. Results reveal that BB is I (0) while CA and FA is I (1) which suggests that ARDL is an
appropriate technique to be used for empirical analysis (Pesaran, et al., 2001). This approach to cointegration is suitable for analysis when the series contains both the I (0) or I (1) variables. In
addition, this technique also gives efficient estimate in case of small sample (Pesaran & Pesaran,
1997). The error correction specification of ARDL, used in this study, is as follows:
(I)
(II)
(III)
If the three series are co-integrated in the long run, it will be the evidence in support of triple deficit
hypothesis. In other words, in long run the budget deficit should be equal to the deficit of trade
balance and financial sector balance together. The existence of triple deficit hypothesis can be
tested statistically by F-statistic by putting the lagged levels parameter equal to zero. Rejecting the
is the evidence that the underlying series are co-integrated
null hypothesis of
in the long run. In ARDL bound testing approach to co-integration, if the computed F-statistic
value is greater than the upper bound of the critical value then it can be concluded that the series
under consideration are co-integrated in the long run. The opposite will be the case if the computed
F-statistic value is less than the lower bound of critical value. Estimates will be in the inconclusive
zone if the computed F-statistic value lies in between the upper bound and the lower bound of
critical values. For this study, the computed F-statistic values 8.78, 3.87 and 9.10 are greater than
the upper bound critical values (-4.53, -3.95 and -3.8) for F (FA/BB, CA), F (BB/FA, CA) and F
(CA/BB, FA) respectively (Table 1). These statistics suggest that all the three series (BB, FA, CA)
are co-integrated in the long run and hence we have strong evidence in support of triple deficit
hypothesis in Pakistan.
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Probing the Evidence of Triple Deficit Hypothesis in Pakistan
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----------------------------------------------------------------------------------------------------------------------Table 1. Augmented Dicky Fuller Test.
BB
TB
CB
I(0)
I(1)
I(1)
Level
-5.23
-2.01
-2.49
Test equation with constant and trend
Difference
0.008
0.57
-6.19
0.00
0.33
-5.02
0.001
Table 2. ARDL Bounds Testing Approach to Cointegration.
F-Statistic
F(CA/BB, FA)
F(BB/FA, CA)
F(CA/BB, FA)
8.78
3.87
9.10
Critical Values Bounds
I(0)
I(1)
-3.96*
-4.53*
-3.41**
-3.95**
-3.13***
-3.84***
ARDL based
on AIC
ARDL (5,5,1)
ARDL (5,1,5)
ARDL (2,4,1)
Notes: The bounds critical values are taken from Table CI(v) Case V: Unrestricted intercept and unrestricted
trend (Pesaran et al, 2001, p. 478) with k =2. *, **, *** represent significant at 1, 5 and 10 percent
respectively.
The triple deficit hypothesis among BB, FA and CA can also be validated by identifying the
direction of causality through Granger causality time series approach. The Toda & Yamamoto
(1995) approach to causality too is compatible with the case when the order of integration of the
series is not uniform. The Toda & Yamamoto (1995) non-causality test results are given in Table 3.
The results show that causality is not running from BB to CA and from FA to CA; nevertheless, for
the existence of triple deficit hypothesis the causality running from CA to BB and CA to FA is
sufficient.
Table 3. Tri-variate VAR (m+1) Causality Tests (Toda & Yamamoto, 1995)
Null Hypothesis
FA Does Not Granger-Cause BB
BB Does Not Granger-Cause FA
BB Does Not Granger-Cause CA
CA Does Not Granger-Cause BB
FA Does Not Granger-Cause CA
CA Does Not Granger-Cause FA
F-Statistic (P-Value)
6.35 (0.0955)
15.01 (0.0018)
2.19 (0.533)
32.47 (0.00)
1.29 (0.73)
6.52 (0.088)
We take 1 to 3 lag intervals based on AIC information criteria.
After estimating the ECM version of ARDL model given in equations (I) to (III), the stability of
the model parameter is tested by cumulative sum of recursive residuals (CUSUM) and the CUSUM
square (CUSUMSQ) basing upon the Pesaran & Pesaran (1997). The results are presented in
Figure 1 and 2. It is evident from the graph that the plot of the CUSUM and CUSUMSQ statistics
falls inside the critical bands of the 5% confidence interval and there is strong evidence that the
model parameters are stable.
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----------------------------------------------------------------------------------------------------------------------20
15
10
5
0
-5
-10
-15
-20
84
86
88
90
92
94
96
98
CUS UM
00
02
04
06
08
10
12
14
08
10
12
14
5% S ignific anc e
Figure 3. Results of CUSUM Test
1.4
1.2
1.0
0.8
0.6
0.4
0.2
0.0
-0.2
-0.4
84
86
88
90
92
94
96
98
CUSUM of S quares
00
02
04
06
5% Signific anc e
Figure 4: Figure 3: Results of CUSUM square Test
2. CONCLUSION
The aim of this exercise was to extend the well-known hypothesis known in the literature as twin
deficit hypothesis to triple deficit hypothesis i.e. to include the financial account (FA) deficit. This
new established phenomenon of triple deficit hypothesis for Pakistani data is validated by finding
co-integrated relationship among current account balance (CA), budget balance (BB) and financial
account balance (FA). The Toda & Yamamoto (1995) non-causality test results also support the
triple deficit hypothesis.
This work will add to the existing literature of twin deficit hypothesis and have some policy
implication too. It is important to mention that there is persistent increase in Pakistani current
account deficit since the early 1990s which is financed by borrowing. This study indorses generally
that Pakistan should made every effort to recover the current account deficit on priority basis by
finding ways and means to increase the revenues and increase the scope of direct taxation as well
as reduce the un-necessary current expenditure as the current account is the main cause to fiscal
and financial account deficits in the short-run.
It is important to note that this initial but influential piece of research has some limitations. Firstly,
this approach did not consider the financial sector in theoretical framework and focused only on
real sector i.e. goods and services sector. Therefore, to establish a theoretical linkage among the
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Probing the Evidence of Triple Deficit Hypothesis in Pakistan
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----------------------------------------------------------------------------------------------------------------------three series, an alternative approach based on portfolio balance is needed. For comparison purposes
the study suggests to include other countries or use panel estimation for further findings.
proceedings.
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© 2017 by the authors. Submitted for possible open access publication under the
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