Exports and economic growth nexus: the case of Pakistan.
Shirazi, Nasim Shah ; Manap, Turkhan Ali Abdul
1. INTRODUCTION
The theoretical association between trade and economic growth has
been discussed for over two centuries. However, controversy still
persists regarding their real effects. The favourable arguments with
respect to trade can be traced back to the classical school of economic
thought that started with Adam Smith and subsequently enriched by the
work of Ricardo, Torrens, James Mill and John Stuart Mill in the first
part of the nineteenth century. Since then the justification for free
trade and the various and indisputable benefits that international
specialisation brings to the productivity of nations have been widely
discussed in the economic literature [Bhagwati (1978) and Krueger
(1978)].
The suitability of trade policy-import substitution or export
promotion--for growth and development has been also debated in the
literature. In 1950s and 1960s, most of the developing countries
followed import substitution (IS) policies for the economic growth. The
proponents of the IS policy stress upon the need for developing
countries (LDCs) to evolve their own style of development and to control
their own destiny [Todaro and Smith (2003), p. 556]. Since the
mid-1970s, in most developing countries, there has been considerable
shift towards export promotion strategy (EP). t This approach postulates
that export expansion leads to better resource allocation, creating
economies of scale and production efficiency through technological
development, capital formation, and employment generation.
Theoretical agreement on export-led growth (ELG) emerged among
neoclassical economists due to the success of free-market, and
outward-oriented policies of East Asian Tigers [World Bank (1993)].
Export-led growth hypothesis has not only been widely accepted by
academics [Feder (1982) and Krueger (1990)], and evolved into a
"new conventional wisdom" [Tyler (1981) and Balassa (1985)],
but, it also, has shaped the development of a number of countries as
well as the policies of the World Bank [World Bank Development Report (
1987)]. However, the reality of the tigers does not support this view of
how their export success was achieved. The production and composition of
export was not left to the market but resulted as much from carefully
planned intervention by the governments. As Amsden (1989) states that
the approach behind the emergence of this new 'Asian Tiger' is
a strong, interventionist state, which has wilfully and abundantly
provided tariff protection and subsidies, change interest and exchange
rates, management investment, and controlled industry using both
lucrative carrots and threatening sticks.
The proponents of the hypothesis and free trade point out that the
Latin America economies that followed inward-oriented policies under the
import substitution strategy showed poor economic achievements [Balassa
(1980)]. In order to correct economic imbalances, many LDCs were forced
to further stimulate their export-led orientation through implementing
adjustment and stahilisation programmes. It was thought that promoting
exports would enable LDCs to correct imbalances in the external sector
and assist them in their full recovery. Consequently, numerous
researches have been done on the exports and economic growth nexus.
However, the results are mixed for both developed and developing
countries and the topic is still on the agenda of the researchers.
This paper attempts to reinvestigate the exports and economic
growth nexus for Pakistan. For testing the long run relationship between
these variables, cointegration techniques of Johansen (1988) and
Johansen and Juselius (1990) have been used. To check the directions of
causality among these variables, the study uses Granger causality test
based on Toda and Yamamoto (1995). This test does not seem to have been
employed in the Pakistan's context.
After introduction, the rest of the paper is organised as follows.
Section 2 discusses review of the literature. Section 3 deals with the
data and methodological issues. Section 4 presents empirical findings,
while, Section 5 concludes the paper.
2. REVIEW OF LITERATURE
The empirical studies regarding the relationship between exports
and output growth can be separated into two categories: (i) the
cross-sectional analysis, (ii) country-specific time series studies.
Both groups of studies, however, indicate that the debate on the nexus
is not settled.
2.1. Cross-sectional Studies
In the cross sectional analysis, Kravis (1970); Michaely (1977);
Bhagwati (1978), use the Spearman rank correlations test to explore the
relationship between exports and growth. While Balassa (1978, 1985);
Tyler (1981); Kavoussi (1984) Ram (1987); Heitger (1987); Fosu (1990);
Lussier (1993) investigate exports and growth performance within a
neoclassical framework by using ordinary least squares (OLS). These
studies, in general, find that export is an important factor in
determining economic growth. Gonclaves and Richtering (1986) conduct
empirical analysis for a sample of 70 developing countries for the
1960-1981 period, and find that export growth rate and change in
export/GDP ratio are significantly correlated with GDP growth. Sheehey
(1993) finds inconsistent evidence of higher productivity in the export
sector compared with the non-export sector. Colombatto (1990), using
OLS, in a 70 countries sample, rejects the export-led growth hypothesis.
Cross sectional empirical investigations can explain to some extent
why growth differs across a wide spectrum of countries. Nevertheless,
cross-sectional investigation has its deficiencies, that raises doubts
about their usefulness. In these studies, countries in similar stages of
development were grouped together and implicitly assumed a common
economic structure and similar production technology across different
countries. However, this assumption is most likely unrealistic. Thus the
results reported in these studies are vulnerable to criticism. Moreover,
cross sectional analysis ignore the shifts in the relationship between
variables overtime within a country, while export and economic growth is
a long run phenomenon that can not be studied by using cross sectional
analysis.
2.2. Time Series Studies
The recent evidence from time series analysis fails to support a
robust exports-economic growth nexus. Jung and Marshall (1985), for
instance, based on the standard Granger causality tests, analyse the
relationship between exports growth and economic growth using time
series data for 37 developing countries could find evidence for the
export-led growth hypothesis only in four countries. Similarly results
from Bahmani-Oskooee, et al. (1991) and Dodaro (1993) are mixed. Darrat
(1986, 1987) rejects export-economic growth causality for three out of
four countries. However, Chow (1987) in a sample of eight newly
industrialised countries (NICs), find strong bi-directional causality
between the export growth and industrial development in seven countries.
Using Error Correction Modelling (ECM) approach, Bahmani-Oskooee
and Alse (1993) re-examine the relationship between export growth and
economic growth for nine developing countries and find strong support
for the export-led growth hypothesis for all the countries in the
sample. Dutt and Ghosh (1996) and Xu (1996) find support for the
export-led growth hypothesis in 17 out of 32 countries under study.
Al-Yousif (1997) by using a multivariate model for Malaysia
supports the export-led growth hypothesis as a short run phenomenon,
while El-Sakka, et al. (2000) find mixed results regarding the direction
of causality in 16 Arab countries.
Ghartey (1993), using a vector auto-regressive model for Taiwan,
USA and Japan, finds export-led growth in Taiwan, economic growth
Granger-causes export growth in the USA, and a feedback causal
relationship exists in the case of Japan. On the contrary, Kwan, et al.
(1996) find mixed results for Taiwan, while Boltho (1996) finds that
domestic forces rather than foreign demand propelled longer run growth
in Japan. Ahmed and Harnhirun (1996) find no support for the export-led
growth hypothesis for 5 ASEAN economies. Gupta (1985) finds
bi-directional association between exports and economic growth for
Israel and South Korea.
Nandi (1991) and Bhat (1995), for example, find evidence of
export-led growth hypothesis for India. While Ghatak and Wheatley (1997)
finds that export growth is Granger-caused by output growth in India. On
the other hand, Xu (1996) rejects the export-led growth hypothesis for
India for the 1960-1990 period.
Some studies have been carried out in the recent past on Pakistan.
Khan and Saqib (1993), use a simultaneous equation model and find a
strong relationship between export performance and economic growth in
Pakistan. Mutairi (1993) finds no support for the period 1959-91, while
Khan, et al. (1995) find strong evidence of bi-directional causality
between export growth and economic growth for Pakistan.
Rana (1985) estimates an export-augmented production function for
14 Asian developing countries including Pakistan. The evidence supports
that exports contribute positively to economic growth. Anwar and Sampath
(2000) examine the export-led growth hypothesis for 97 countries
including Pakistan for the 1960-1992 period. They find unidirectional
causality in the case of Pakistan. Ahmed, et al. (2000) investigate the
relationship between exports, economic growth and foreign debt for
Bangladesh, India, Pakistan, Sri Lanka and four South East Asian
countries using a trivariate causality framework. The study rejects the
export-led growth hypothesis for all the countries (except for
Bangladesh) included in the sample. Kemal, et al. (2002) investigate
export-led hypothesis for five South Asian Countries including Pakistan.
The study finds no evidence of causation in the short run for Pakistan
in either direction. However, they find a strong support for long-run
causality from export to GDP for Pakistan.
Some studies find that the effect of export on economic growth
depends on the level of development of the country concerned [Tyler
(1981); Dodaro (1991); Michaely (1977); Singer and Gray ( 1988);
Watanabe ( 1985)] and the composition of export itself [Kavoussi (1985)
and Dodaro (1991)]. Furthermore, some authors [Yanghmaian and Ghorashi
(1995)] maintain that a long and complex process of structural change
and economic development precedes both exports and economic growth.
The above studies show that results are far from settled and
require further investigation.
It is established in the literature of econometrics that causality
tests are sensitive to model selection and function form [Gujarati
(1995)]. Riezman, Whiteman, and Summers (1996) point out that omitting
the important variables in the VAR estimation process can result in both
Type I and Type II errors, that is, spurious rejection of one causality
as well as spurious detection of it. Lutkepohl (1982) and more recently
Caporale and Pittis (1997) have shown the sensitivity of causality
inference between the variables of the incomplete system. Moreover,
Caporale, Hassapis, and Pittis (1998) show that the omission of an
important variable results in invalid inferences about the causality
structure of the system, unless causality is in the direction of the
omitted variable but not vice versa. To avoid the said problem we have
also included imports in our study.
3. DATA AND METHODOLOGICAL ISSUES
3.1. Data
The Annual data were retrieved from IMF's International
Financial Statistics (CD-ROM) for the year 1960 to 2003. The exports,
the imports and the GDP were converted into real terms using consumer
price indices. All the time series are transformed into logarithms.
Logarithmic Plot of the three time series are shown in Figure 1. Figure
l shows that real GDP, 'y' the real export, 'x' and
the real imports, 'm' exhibit strong upward trends indicating
that these series tend to move together.
[FIGURE 1 OMITTED]
3.2. The Methodology
The objective of the study is to investigate the dynamic
relationships among the variables, i.e. the real output (GDP), real
exports and real imports. For the examination of long-run relationship
among theses variables, we used test developed by Johansen (1988) and
Johansen and Juselius (1990). For the direction of causality, we have
used Granger causality test based on Toda and Yamamoto (1995).
3.2.1. The Cointegration Test
To determine whether the variables are integrated or otherwise, we
applied the standard maximum likelihood method of Johansen (1988) and
Johansen and Juselius (1990). (2) This test involves estimating the
following unrestricted vector autoregressive (VAR) model:
[Y.sub.t] = [A.sub.0] + [p.summation over (j=1)]
[A.sub.j][Y.sub.t-j] + [[epsilon].sub.t] ... (1)
Where [Y.sub.t] = (y,x,m)is an 3 x 1 vector of non-stationary 1(1)
variables, [A.sub.0] is a 3x1 vector of constants, p is the number of
lags, [A.sub.j] is a 3 x 3 matrix of estimable parameters, and
[[epsilon].sub.t] is a 3x1 vector of independent and identically
distributed innovations. If [Y.sub.t] is cointegrated, Equation (1) can
be generated by a vector error correction model (VECM):
[DELTA][Y.sub.t] = [A.sub.0] + [p-1.summation over
(j=1)][[GAMMA].sub.j][DELTA][Y.sub.t-j] +
[PI][Y.sub.t-1][[epsilon].sub.t] ... (2)
Where [[GAMMA].sub.j] = [p.summation over (i = j+1)][A.sub.i] and
[PI] = [p.summation over (j=1)] [A.sub.j] - I. [DELTA] is the difference
operator, [GAMMA] and [PI] represents coefficient matrices, and 1 is an
n x n identity matrix. The coefficient matrix [PI] is known as the
impact matrix, and it contains information about the longrun relations.
Johansen's methodology requires the estimation of the VAR Equation
(2) and the residuals are then used to compute two likelihood ratios
(LR) test statistics that can be used in the determination of the unique
cointegrating vectors of [Y.sub.t]. The cointegrating rank can be tested
with two statistics: the trace test and the maximal eigenvalue test.
3.2.2. The Toda and Yamamoto Multivariate Causality Test
The use of Granger causality tests to trace the direction of
causality between two economic variables is not uncommon in empirical
work. However, (1) the standard Granger (1969) causality test for
inferring leads and lags among integrated variables will end up in
spurious regression results and the F-test is not valid unless the
variables in levels are cointegrated; (2) The error correction model
[due to Engle and Granger (1987)] (3) and the vector auto regression
error-correction model [due to Johansen and Juselius (1990)] (4) as
alternatives for the testing of non-causality between economic time
series are cumbersome; (3) Toda and Phillips (1993) provide evidence
that the Granger causality tests in ECMs still contain the possibility
of incorrect inference. They also suffer from nuisance parameter
dependency asymptotically in some cases [see Toda and Phillips (1993)
for details]. In this paper we use the Toda and Yamamoto's (1995)
methodology to avoid the problems outlined above.
Toda and Yamamoto (1995) proposed a simple procedure requiring the
estimation of an 'augmented' VAR, which is applicable
irrespective of the integration or cointegration present in the system.
The Toda and Yamamoto (1995) procedure uses a modified Wald (MWALD) test
to test restrictions on the parameters of the VAR(k) model. This test
has an asymptotic chi-squared distribution with k degrees of freedom in
the limit when a VAR [k+d(max)] is estimated (where d(max) is the
maximal order of integration for the series in the system). Two steps
are involved with implementing the procedure. The first step includes
determination of the true lag length (k) and the maximum order of
integration (d) of the variables in the system. Given the VAR (k)
selected, and that the order of integration d(max) is determined, a
level VAR(k+d) can then be estimated. The second step is to apply
standard Wald tests to the first k VAR coefficient matrix (but not all
lagged coefficients) to conduct inference on Granger causality.
3.2.3. The Procedure
We followed the following procedures. First, since both
cointegration test and Toda-Yamamoto Granger Causality test require
certain stochastic structure of the time series, a stationary test is
performed to determine the order of integration of each time series. We
have used the augmented Dickey-Fuller test (ADF) (1979) and
Phillips-Perron (PP) (1988). Secondly, since one of critical parts of
the cointegration test and Toda-Yamamoto Granger Causality test is to
determine the lag length k in the level VAR system. The lag length of
the level VAR system was determined by minimising the Akaike Information
Criterion (AIC) and the Schwarz Bayesian Criterion (SBC). Thirdly, we
conduct the cointegration test and finally, we applied the Toda-Yamamoto
(1995) Granger causality test to investigate the directions of the
causality.
4. EMPIRICAL FINDINGS
4.1. Order of Integration
Before testing for cointegration we tested for unit roots in order
to investigate the stationarity properties of the data, Dickey-Fuller
(ADF) t-tests [Dickey and Fuller (1979) and (PP) Phillips and Perron (1988)] test are used to each of the three time series real GDP, real
exports and real imports testing for the presence of a unit root. The
lag length for the ADF tests was selected to ensure that the residuals
were white noise.
The results of the Augmented Dickey Fuller (ADF) test both with and
without trend as recommended by Engle and Granger (1987) and the
Phillips and Perron (1988) test again with and without trend are
reported in Table 1.
Table 1 shows that the null of unit root can not be rejected for
any of the three level variables. However, the null of unit root is
rejected for first differenced variables, indicating that all variables
are first differenced stationary or integrated of order one, I(1).
4.2. Testing for Cointegration
Having established that all variables in the study are integrated
of order one I (1), we proceed to test for cointegration between the
variables on levels.
Two time series are cointegrated when a linear combination of the
time series is stationary, even though each series may individually be
non-stationary. Since nonstationary time series do not return to their
long-run average values following a disturbance, it is important to
convert them to stationary processes; otherwise regressing one
non-stationary process on another non-stationary process can generate
spurious results.
Before we formally use the Johansen (1991) procedure to test for
cointegration, we have used the Engle-Granger test and CRDW test [see
Sargan and Bhargava (1983)] initially to test whether there exist a
long-run relationship among the variables of interest. This is just a
complementary test.
4.2.1. The EG and CRDE Test
In this section, we have used the Engle-Granger test and CRDW test
[see Sargan and Bhargava (1983)] to investigate whether the variables
under question are cointegrated or not. In doing so, we estimate
Equation (1) in levels through OLS and check whether the residuals from
the regression is stationary, i.e., I(0). The results are shown as
follows:
ly = 1.8235 + 0.5644export + 0.1324import
Adjusted [R.sup.2] = 0.9771
CRDW=0.9308 ADF (0) =-3.6304***
Notes: *** Significant at 1 percent level.
It is noted from the above that the CRDW clearly exceeds the value
of 0.89, which is the approximate critical value for n=50 at the 0.05
level of significance. Therefore, the CRDW test is in the position to
reject the null hypothesis that the variables are not cointegrated. At
the same time, the EG cointegration test also rejected the null
hypothesis at the 1 percent significance level. Thus, the residuals
estimated suggest that the output, exports and imports have a long run
relationship for the 1960 to 2003 period.
However, although both CRDW and the EG procedure have distinct
advantages and in spite of the positive results mentioned earlier, both
tests have several important defects. (5) Thus, before making any kind
of judgment, we are proceeding to employ more powerful test, Johansen
Maximum likelihood techniques, to verify the existence of cointegration
in the following sub-section.
4.2.2. Johansen Maximum Likelihood Techniques
Before we run cointegration test, using the Akaike Information
Criterion (AIC) and the Schwarz Bayesian Criterion (SBC), the lag length
for the VAR system is determined. Both criteria suggest the use of 2
lags in the VAR. Moreover, since the data are of annual periodicity, an
inspection of the results suggests that serial correlation is not a
problem when we set the order of the VAR at 2. The results of their
[lambda]-max and trace tests to identify the number of cointegrating
vectors are reported in Table 2.
Note that Reinsel and Ahn (1992) argue that in model with a limited
number of observations, the likelihood ratio tests can be biased toward
finding cointegration too often. Thus they suggest multiplying the LR
test statistics ([lambda]-max and trace) by a factor (T-nk)/T, where T
is the effective number of observations, n is the number of variables in
the model, and k is the order of VAR, to obtain the adjusted estimates.
Table 2 reports these adjusted statistics.
Table 2 shows that the null of no cointegration is rejected using
either statistics because both statistics are greater than their
critical values. However, the null of at most one cointegrating vector
cannot be rejected in favour of r = 2. Thus the empirical support for
one cointegration vector implies that all three variables, namely,
imports, exports and the GDP, are cointegrated and follow a common
long-run path. This is consistent with our "a priory"
expectation that imports, export and economic growth are
inter-connected. Therefore, the cointegration analysis provides a
justification for the inclusion of imports in the analysis of export-led
growth hypothesis for Pakistan.
Since all of above tests confirm cointegration among these
variables under study, therefore, the standard Granger causality test is
no longer valid in this case. Hence, we have used multivariate Granger
Causality [Toda and Yamamoto (1995)] to find the direction of causality
among exports, imports and real output growth.
4.3. Multivariate Granger Causality Test
The results from Table 1 clearly suggest that none of the variables
are stationary in level. However, the first differences of these series
are stationary. This means that [d.sub.max] = 1 in our case. We then
proceed in estimating the lag structure of a system of VAR in levels and
our results indicate that the optimal lag length based on Akaike's
FPE is 2, that is, k=2. We then estimate a system of VAR in levels with
a total of([d.sub.max] + k = 2+1) =3 lags.
Using these information, the system of equations is jointly
estimated as a "Seemingly Unrelated Regression Equations"
(SURE) model by Maximum Likelihood and computes the MWALD test statistic
as shown in Table 3.
Table 3 shows that the null hypothesis that Granger no-causality
from export to GDP can be rejected at l percent level of significance.
However, there is no evidence to support the converse. This indicates
that there is a unidirectional causality running from exports to output.
This confirms the ELG hypothesis for Pakistan. Exports boost the growth
of economy through access to the wide world market and hence the
economies of scale. It earns foreign exchange and also supports the
employment in the export sectors of the economy. Table 3 does not show
any significant causality between import and exports.
Our results are in contrast to those of Akbar and Naqvi (2000) and
Ahmed, Butt and Alam (2000). Their results do not support the ELG
hypothesis for Pakistan. Akbar and Naqvi (2000) find that imports do not
play any role in the output growth relationship, while Ahmed, et al.
(2000) conclude that both the export driven output growth and output
growth-led export promotion hypotheses are not being supported in all
cases. The contradictory results of these studies may be due to the
standard granger causality test, which is an oversimplified approach.
Our study confirms the long run results of Kemal, et al. (2002), while
it contradicts the short run results for Pakistan.
5. CONCLUSION
The importance of international trade and economic growth has been
debated over the decades. The suitability of trade policy for growth and
development has been also debated in the literature, in 1950s and 1960s,
most of the developing countries followed import substitution (IS)
policy for their economic growth. Since the mid-1970s, in most
developing countries, there has been considerable shift towards export
promotion strategy (EP). This approach postulates that export expansion
leads to better resource allocation, creating economies of scale and
production efficiency through technological development, capital
formation, employment creation and hence economics growth. The
export-led growth has been focus of the economic debate. However,
results were found to be mixed. Moreover, findings of the recent
studies, which are conducted with reference to Pakistan, are also mixed.
This paper re-investigates the exports-economic growth nexus. A
vector autoregression (VAR) model applying the multivariate Granger
causality procedure [Toda and Yamamoto (1995)], has been used to test
the causal link between the exports and the real output in Pakistan over
the 1960 to 2003 period. The time series data for the said period were
retrieved from IFS.
The results strongly support a long-run relationship among the
three variables. The paper finds a feedback effect between imports and
output. Though exports causes output growth, but converse is not true.
More interestingly, there is no significant causality between imports
and exports.
It is a fact that in the process of growth, imports play important
role through different channels. Imports of raw material increase the
value added products and import of necessary technology increase the
productive capacity and productivity that further enhances the growth
rate of the economy. Imports generate employment especially in the
handling and transportation sectors directly and indirectly in the
wholesale and retail sectors that positively effects the growth of the
economy. Moreover, unrestricted access to imports also supports by
reducing the prices of essential production inputs. The overall effect
of this is to increase growth which supports the increase demand of the
imports. However, excessive imports of finished goods may replace the
domestic output and displace the workers. Exports boost the growth of
economy through access to the wide world market and hence the economies
of scale. It earns foreign exchange and also supports the employment in
the export sectors of the economy. Therefore, it is suggested that
Pakistan may continue with the imports of necessary raw material for
value addition and needed technology to expand capacity and improve
productivity. It may pay full attention to boost up the exports.
Authors' Note: We are thankful to Dr Musleh-ud Din for his
valuable comments. This paper is part of a project to be submitted to
the Research Centre of the IIUM on its completion. We acknowledge
financial assistance from the Research Centre of the IIUM for the
research carried out for this paper.
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(1) Pakistan, like many developing countries, has adopted an export
promotion strategy for the last two and a half decades, moving towards
fewer and fewer controls and showing more openness.
(2) Treating all variables to be endogenous, the JJ test is noted
to offer several advantages over the two-step residual-based test of
Engle and Granger (1987) [see Masih and Masih (2000)].
(3) This methodology involves transforming the suggested
relationship into an Error Correction model (ECM) and identifies the
parameters associated with causality. If the case involves more than two
cointegration vectors, this is not easy work.
(4) Further, there is growing concern among applied researchers
that the cointegration likelihood ratio (LR) test of Johansen (1998) and
Johansen and Juselius (1990) have often not provide the degree of
empirical support that might reasonably have been expected for a long
run relationship. Furthermore, using a Monte Carlo experiment, Bewley
and Yang (1996) argue that the power of LR tests is high only when the
correlation between the shocks that generate the stationary and
non-stationary components of typical macroeconomic series is
sufficiently large and also that the power of LR tests deteriorates
rapidly with over-specification of lag length. This concern has also
been supported by the simulation studies of Ho and Sorensen (1996).
(5) This issue emerged after several Monte Carlo studies that
considered the robustness of these tests showed that in general the most
standard tests are not powerful. Moreover, most of the studies come to
the conclusion that no one test predominates over the others. In fact,
in cases where the sample size is finite, the estimations conducted
through the EG procedure are sensitive to the imposition of
normalisation and it assumes only one cointegration vector and does not
allow for potential feedback effects [Enders (1995)].
Nasim Shah Shirazi and Turkhan Ali Abdul Manap are respectively
Associate Professor and PhD candidate in the Faculty of Economics and
Management Science, International Islamic University, Malaysia.
Table 1
Stationary Test of Each Variables Using ADF PP
ADF
Variables Without Trend With Trend
LE -0.106 -3.185
LM -0.665 -2.253
LY -0.138 -3.573 *
[DELTA]LE -7.041 *** -6.986 ***
[DELTA]LM -7.047 *** -6.975 ***
[DELTA]LE -5.880 *** -5.798 ***
PP
Variables Without Trend With Trend
LE 0.502 -3.143
LM -0.548 -2.305
LY 0.1456 -1.748
[DELTA]LE -8.684 *** -8.802 ***
[DELTA]LM -7.152 *** -7.076 ***
[DELTA]LE -6.045 *** -5.978 ***
Note: *** and * denotes significance at the 1 percent
and 10 percent levels, respectively.
Table 2
Johansen and Juselius Cointegration Test Results
(Variables: GDP, Exports and Imports)
[lambda]-Max
Null Alternative Statistics
r=0 r=1 32.60 **
r [less than or equal to] 1 r-2 12.75
r [less than or equal to] 2 r=3 4.06
Critical Value
Trace
Null 95% 99% Statistics
r=0 22.00 26.81 49.42 **
r [less than or equal to] 1 15.67 0.20 16.82
r [less than or equal to] 2 9.24 12.97 4.06
Critical Value
Null 95% 99%
r=0 34.91 41.07
r [less than or equal to] 1 19.96 24.60
r [less than or equal to] 2 9.24 12.97
Note: ** Indicate significance at 5 percent level.
Table 3
Grander Causality Test (TY Augmented Lags Methods)
Sources of Causation
Dependent GDP Exports Imports
Variable [chi square](5) [chi square](5) [chi square](5)
GDP -- 17.08 *** 16.35 ***
Export 5.959 -- 6.71
Import 9.90 * 8.429 --
Note: *** and * Indicate significance at the 1 percent
and 10 percent respectively.