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Introduction
Methodology
Conclusion
Export-led growth in Bangladesh: a time
series analysis
K. A. Al Mamun1
H. K. Nath2
1Department of Economics,
Southern Methodist University, Dallas, USA
2Department of Economics and International Business,
Sam Houston State University, Huntsville, USA
November 14, 2022
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 1/15
Introduction
Methodology
Conclusion
Introduction
Data
Introduction
In recent years, Bangladesh has experienced not only a
substantial increase in the volume of exports but also
important changes in the composition of those exports.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
Introduction
Methodology
Conclusion
Introduction
Data
Introduction
In recent years, Bangladesh has experienced not only a
substantial increase in the volume of exports but also
important changes in the composition of those exports.
It is moving away from traditional items such as jute and
jute products and towards newly manufactured products
such as ready-made garments.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
Introduction
Methodology
Conclusion
Introduction
Data
Introduction
In recent years, Bangladesh has experienced not only a
substantial increase in the volume of exports but also
important changes in the composition of those exports.
It is moving away from traditional items such as jute and
jute products and towards newly manufactured products
such as ready-made garments.
So, this paper presents time series analysis of the
export–output relationship for Bangladesh.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
Introduction
Methodology
Conclusion
Introduction
Data
Data
Data set is taken from the International Financial
Statistics published by the IMF comprised of:
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
Introduction
Methodology
Conclusion
Introduction
Data
Data
Data set is taken from the International Financial
Statistics published by the IMF comprised of:
Quarterly data on industrial production index
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
Introduction
Methodology
Conclusion
Introduction
Data
Data
Data set is taken from the International Financial
Statistics published by the IMF comprised of:
Quarterly data on industrial production index
Exports of goods and services
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
Introduction
Methodology
Conclusion
Introduction
Data
Data
Data set is taken from the International Financial
Statistics published by the IMF comprised of:
Quarterly data on industrial production index
Exports of goods and services
Exports of goods only for a period from 1976:1 to 2003:3
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
Introduction
Methodology
Conclusion
Introduction
Data
Data
Data set is taken from the International Financial
Statistics published by the IMF comprised of:
Quarterly data on industrial production index
Exports of goods and services
Exports of goods only for a period from 1976:1 to 2003:3
For all three data series, the base year is 2000 and the
export values are given in constant US dollars
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Augmented Dickey-Fuller Test
ADF tests were carried out to find out the order of
integration for each of the above three series.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Augmented Dickey-Fuller Test
ADF tests were carried out to find out the order of
integration for each of the above three series.
First, tests in levels and then in first differences were
carried out. Each series started with the most flexible
specification of the test equation that includes an
intercept and a trend :
∆zi,t = αi,o + αi,1t + γzi,t−1 +
p
X
j=1
βi,j ∆zi,t−j + εi,t
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Augmented Dickey-Fuller Test
ADF tests were carried out to find out the order of
integration for each of the above three series.
First, tests in levels and then in first differences were
carried out. Each series started with the most flexible
specification of the test equation that includes an
intercept and a trend :
∆zi,t = αi,o + αi,1t + γzi,t−1 +
p
X
j=1
βi,j ∆zi,t−j + εi,t
The ADF test is essentially the test of significance of the
coefficient γ in the above equation.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
In order to select the lag length p, we start with a
maximum lag of 8 and pare it down to the appropriate lag
by examining the AIC.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
In order to select the lag length p, we start with a
maximum lag of 8 and pare it down to the appropriate lag
by examining the AIC.
If we do not find the intercept and the trend – both or
one of them – to be statistically significant at the 10 per
cent significance level, we drop the insignificant term(s)
and re-estimate the test statistics.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
In order to select the lag length p, we start with a
maximum lag of 8 and pare it down to the appropriate lag
by examining the AIC.
If we do not find the intercept and the trend – both or
one of them – to be statistically significant at the 10 per
cent significance level, we drop the insignificant term(s)
and re-estimate the test statistics.
The results are reported in Table 1. The number of lags
of the augmented terms and other specifications of the
test equation is included in the table. We’ll see, all three
series are integrated of order one or I(1)
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Result
(Y) (XG + XS ) (XG )
Panel A: In Levels
Intercept term? Yes Yes Yes
Time trend? Yes Yes Yes
Lag length 4 4 5
ADF test statistics 1.98 1.94 2.05
MacKinnon’s p-value 0.60 0.62 0.57
Panel B: In Differences
Intercept term? Yes Yes Yes
Time trend? No No No
Lag length 3 3 2
ADF test statistics 5.93 5.98 10.65
MacKinnon’s p-value 0.00 0.00 0.00
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 6/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Engle-Granger cointergration test
Intuition: If variables are cointegrated, then the residual
of the cointegrating regression should be stationary.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Engle-Granger cointergration test
Intuition: If variables are cointegrated, then the residual
of the cointegrating regression should be stationary.
So, we test the residuals for stationarity obtained from an
OLS regression of industrial production on
contemporaneous values of exports:
yt = β0 + β1xt + et
ˆ
et = yt − ˆ
β0 − ˆ
β1xt
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Engle-Granger cointergration test
Intuition: If variables are cointegrated, then the residual
of the cointegrating regression should be stationary.
So, we test the residuals for stationarity obtained from an
OLS regression of industrial production on
contemporaneous values of exports:
yt = β0 + β1xt + et
ˆ
et = yt − ˆ
β0 − ˆ
β1xt
Above equation represents a long-run equilibrium
relationship between industrial production and exports,
here yt and xt are non-stationary series.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Results
Panel A: (XG + XS ) Estimated long-run
(yt = 1.34 + 0.43xt + et)
Dickey-Fuller Test on {êt} Lag = 0 Lag = 5
Test statistic −5.96 −1.93
5% critical value −3.37 −3.17
Panel B: (XG ) Estimated long-run
(yt = 1.48 + 0.42xt + et)
Dickey-Fuller test on {êt} Lag = 0 Lag = 5
Test statistic −6.67 −1.99
5% critical value −3.37 −3.17
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 8/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
These tests, however, give contradictory results:
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
These tests, however, give contradictory results:
The test with no lag indicates that the residuals are
stationary and the two variables are cointegrated.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
These tests, however, give contradictory results:
The test with no lag indicates that the residuals are
stationary and the two variables are cointegrated.
The test with 5 lags (selected using AIC) indicates that
they are not stationary, and two variables are not
cointegrated.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Vector error correction model (VECM) and GC
The existence of a cointegrating relationship suggests
that we should estimate a VECM of industrial production
and exports, as represented by the equation:
∆zi,t = δi,o + δi,1êt−1 +
2
X
i=1
p
X
j=1
λi,j ∆zi,t−j + ξi,t
∆Yt = ΦDt +ΠYt−1 +Γ1∆Yt−1 +· · ·+Γp−1∆Yt−p+1 +ϵt
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 10/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Vector error correction model (VECM) and GC
The existence of a cointegrating relationship suggests
that we should estimate a VECM of industrial production
and exports, as represented by the equation:
∆zi,t = δi,o + δi,1êt−1 +
2
X
i=1
p
X
j=1
λi,j ∆zi,t−j + ξi,t
∆Yt = ΦDt +ΠYt−1 +Γ1∆Yt−1 +· · ·+Γp−1∆Yt−p+1 +ϵt
Π captures adjustments towards the long-run equilibrium
and contains the cointegrating relationships, Γk captures
short-run deviations from the equilibrium and Dt contains
deterministic terms.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 10/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
The coefficient δi,1 represents the long-run causal effect in
relation to the long-run equilibrium relationship of the
cointegrated processes.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
The coefficient δi,1 represents the long-run causal effect in
relation to the long-run equilibrium relationship of the
cointegrated processes.
The coefficients of the lagged values:
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
The coefficient δi,1 represents the long-run causal effect in
relation to the long-run equilibrium relationship of the
cointegrated processes.
The coefficients of the lagged values:
λ2,j s, represent short-run effects of exports on industrial
production.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
The coefficient δi,1 represents the long-run causal effect in
relation to the long-run equilibrium relationship of the
cointegrated processes.
The coefficients of the lagged values:
λ2,j s, represent short-run effects of exports on industrial
production.
λ1,j s, represent short-run effects of industrial production
on exports.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
The coefficient δi,1 represents the long-run causal effect in
relation to the long-run equilibrium relationship of the
cointegrated processes.
The coefficients of the lagged values:
λ2,j s, represent short-run effects of exports on industrial
production.
λ1,j s, represent short-run effects of industrial production
on exports.
A test of joint significance of these lagged terms
constitutes a short-run Granger causality test. The results
are reported in Table 3.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
(∆y) (∆x)
Panel A: (XG + XS )
Estimated value of δi,1 −0.12 0.09
t-statistics −1.88∗
0.85
H0 : δi,1 = 0 3.53∗
0.73
H1 : δi,1 ̸= 0
H0 : λi,j = 0 for all j 0.75 0.80
H1 : λi,j ̸= 0 for at least one j
Panel B: (XG )
Estimated value of δi,1 −0.15 0.10
t-statistics −2.09 ∗ ∗ 0.69
H0 : δi,1 = 0 4.36∗∗
0.47
H1 : δi,1 ̸= 0
H0 : λi,j = 0 for all j 0.95 0.96
H1 : λi,j ̸= 0 for at least one j
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 12/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Results
The estimated value of the speed of adjustment
coefficient is negative, −0.12 and statistically significant,
−1.88∗
in the industrial production equation (∆y). It
indicates that the further away industrial production
deviates from its long-run relationship with exports, the
lower the growth rate and vice versa.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Results
The estimated value of the speed of adjustment
coefficient is negative, −0.12 and statistically significant,
−1.88∗
in the industrial production equation (∆y). It
indicates that the further away industrial production
deviates from its long-run relationship with exports, the
lower the growth rate and vice versa.
The speed of adjustment coefficient, δi,1 in the the export
equation (∆x) is statistically insignificant in both of the
two cases: F stat- 0.73 and 0.47!
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
Introduction
Methodology
Conclusion
Unit root test
Engle-Granger cointegration test
VECM and Granger causality
Results
The estimated value of the speed of adjustment
coefficient is negative, −0.12 and statistically significant,
−1.88∗
in the industrial production equation (∆y). It
indicates that the further away industrial production
deviates from its long-run relationship with exports, the
lower the growth rate and vice versa.
The speed of adjustment coefficient, δi,1 in the the export
equation (∆x) is statistically insignificant in both of the
two cases: F stat- 0.73 and 0.47!
The short-run Granger causality test results reported in
the last row of each panel in Table 3 (H1) indicates that
there is no causal relationship between export growth and
industrial growth.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
Introduction
Methodology
Conclusion
Conclusion
Conclusion
While the analysis suggests that:
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
Introduction
Methodology
Conclusion
Conclusion
Conclusion
While the analysis suggests that:
There is a positive long-run equilibrium relationship
between exports and industrial production, there is no
evidence of a short-run causal relationship between these
two variables.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
Introduction
Methodology
Conclusion
Conclusion
Conclusion
While the analysis suggests that:
There is a positive long-run equilibrium relationship
between exports and industrial production, there is no
evidence of a short-run causal relationship between these
two variables.
Furthermore, the long-run causality seems to run from
exports to industrial production.
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
Introduction
Methodology
Conclusion
Conclusion
Thank you!
Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 15/15

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HUL_715_Presentation_final.pdf

  • 1. Introduction Methodology Conclusion Export-led growth in Bangladesh: a time series analysis K. A. Al Mamun1 H. K. Nath2 1Department of Economics, Southern Methodist University, Dallas, USA 2Department of Economics and International Business, Sam Houston State University, Huntsville, USA November 14, 2022 Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 1/15
  • 2. Introduction Methodology Conclusion Introduction Data Introduction In recent years, Bangladesh has experienced not only a substantial increase in the volume of exports but also important changes in the composition of those exports. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
  • 3. Introduction Methodology Conclusion Introduction Data Introduction In recent years, Bangladesh has experienced not only a substantial increase in the volume of exports but also important changes in the composition of those exports. It is moving away from traditional items such as jute and jute products and towards newly manufactured products such as ready-made garments. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
  • 4. Introduction Methodology Conclusion Introduction Data Introduction In recent years, Bangladesh has experienced not only a substantial increase in the volume of exports but also important changes in the composition of those exports. It is moving away from traditional items such as jute and jute products and towards newly manufactured products such as ready-made garments. So, this paper presents time series analysis of the export–output relationship for Bangladesh. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 2/15
  • 5. Introduction Methodology Conclusion Introduction Data Data Data set is taken from the International Financial Statistics published by the IMF comprised of: Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
  • 6. Introduction Methodology Conclusion Introduction Data Data Data set is taken from the International Financial Statistics published by the IMF comprised of: Quarterly data on industrial production index Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
  • 7. Introduction Methodology Conclusion Introduction Data Data Data set is taken from the International Financial Statistics published by the IMF comprised of: Quarterly data on industrial production index Exports of goods and services Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
  • 8. Introduction Methodology Conclusion Introduction Data Data Data set is taken from the International Financial Statistics published by the IMF comprised of: Quarterly data on industrial production index Exports of goods and services Exports of goods only for a period from 1976:1 to 2003:3 Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
  • 9. Introduction Methodology Conclusion Introduction Data Data Data set is taken from the International Financial Statistics published by the IMF comprised of: Quarterly data on industrial production index Exports of goods and services Exports of goods only for a period from 1976:1 to 2003:3 For all three data series, the base year is 2000 and the export values are given in constant US dollars Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 3/15
  • 10. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Augmented Dickey-Fuller Test ADF tests were carried out to find out the order of integration for each of the above three series. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
  • 11. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Augmented Dickey-Fuller Test ADF tests were carried out to find out the order of integration for each of the above three series. First, tests in levels and then in first differences were carried out. Each series started with the most flexible specification of the test equation that includes an intercept and a trend : ∆zi,t = αi,o + αi,1t + γzi,t−1 + p X j=1 βi,j ∆zi,t−j + εi,t Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
  • 12. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Augmented Dickey-Fuller Test ADF tests were carried out to find out the order of integration for each of the above three series. First, tests in levels and then in first differences were carried out. Each series started with the most flexible specification of the test equation that includes an intercept and a trend : ∆zi,t = αi,o + αi,1t + γzi,t−1 + p X j=1 βi,j ∆zi,t−j + εi,t The ADF test is essentially the test of significance of the coefficient γ in the above equation. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 4/15
  • 13. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality In order to select the lag length p, we start with a maximum lag of 8 and pare it down to the appropriate lag by examining the AIC. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
  • 14. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality In order to select the lag length p, we start with a maximum lag of 8 and pare it down to the appropriate lag by examining the AIC. If we do not find the intercept and the trend – both or one of them – to be statistically significant at the 10 per cent significance level, we drop the insignificant term(s) and re-estimate the test statistics. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
  • 15. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality In order to select the lag length p, we start with a maximum lag of 8 and pare it down to the appropriate lag by examining the AIC. If we do not find the intercept and the trend – both or one of them – to be statistically significant at the 10 per cent significance level, we drop the insignificant term(s) and re-estimate the test statistics. The results are reported in Table 1. The number of lags of the augmented terms and other specifications of the test equation is included in the table. We’ll see, all three series are integrated of order one or I(1) Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 5/15
  • 16. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Result (Y) (XG + XS ) (XG ) Panel A: In Levels Intercept term? Yes Yes Yes Time trend? Yes Yes Yes Lag length 4 4 5 ADF test statistics 1.98 1.94 2.05 MacKinnon’s p-value 0.60 0.62 0.57 Panel B: In Differences Intercept term? Yes Yes Yes Time trend? No No No Lag length 3 3 2 ADF test statistics 5.93 5.98 10.65 MacKinnon’s p-value 0.00 0.00 0.00 Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 6/15
  • 17. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Engle-Granger cointergration test Intuition: If variables are cointegrated, then the residual of the cointegrating regression should be stationary. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
  • 18. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Engle-Granger cointergration test Intuition: If variables are cointegrated, then the residual of the cointegrating regression should be stationary. So, we test the residuals for stationarity obtained from an OLS regression of industrial production on contemporaneous values of exports: yt = β0 + β1xt + et ˆ et = yt − ˆ β0 − ˆ β1xt Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
  • 19. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Engle-Granger cointergration test Intuition: If variables are cointegrated, then the residual of the cointegrating regression should be stationary. So, we test the residuals for stationarity obtained from an OLS regression of industrial production on contemporaneous values of exports: yt = β0 + β1xt + et ˆ et = yt − ˆ β0 − ˆ β1xt Above equation represents a long-run equilibrium relationship between industrial production and exports, here yt and xt are non-stationary series. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 7/15
  • 20. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Results Panel A: (XG + XS ) Estimated long-run (yt = 1.34 + 0.43xt + et) Dickey-Fuller Test on {êt} Lag = 0 Lag = 5 Test statistic −5.96 −1.93 5% critical value −3.37 −3.17 Panel B: (XG ) Estimated long-run (yt = 1.48 + 0.42xt + et) Dickey-Fuller test on {êt} Lag = 0 Lag = 5 Test statistic −6.67 −1.99 5% critical value −3.37 −3.17 Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 8/15
  • 21. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality These tests, however, give contradictory results: Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
  • 22. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality These tests, however, give contradictory results: The test with no lag indicates that the residuals are stationary and the two variables are cointegrated. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
  • 23. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality These tests, however, give contradictory results: The test with no lag indicates that the residuals are stationary and the two variables are cointegrated. The test with 5 lags (selected using AIC) indicates that they are not stationary, and two variables are not cointegrated. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 9/15
  • 24. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Vector error correction model (VECM) and GC The existence of a cointegrating relationship suggests that we should estimate a VECM of industrial production and exports, as represented by the equation: ∆zi,t = δi,o + δi,1êt−1 + 2 X i=1 p X j=1 λi,j ∆zi,t−j + ξi,t ∆Yt = ΦDt +ΠYt−1 +Γ1∆Yt−1 +· · ·+Γp−1∆Yt−p+1 +ϵt Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 10/15
  • 25. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Vector error correction model (VECM) and GC The existence of a cointegrating relationship suggests that we should estimate a VECM of industrial production and exports, as represented by the equation: ∆zi,t = δi,o + δi,1êt−1 + 2 X i=1 p X j=1 λi,j ∆zi,t−j + ξi,t ∆Yt = ΦDt +ΠYt−1 +Γ1∆Yt−1 +· · ·+Γp−1∆Yt−p+1 +ϵt Π captures adjustments towards the long-run equilibrium and contains the cointegrating relationships, Γk captures short-run deviations from the equilibrium and Dt contains deterministic terms. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 10/15
  • 26. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality The coefficient δi,1 represents the long-run causal effect in relation to the long-run equilibrium relationship of the cointegrated processes. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
  • 27. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality The coefficient δi,1 represents the long-run causal effect in relation to the long-run equilibrium relationship of the cointegrated processes. The coefficients of the lagged values: Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
  • 28. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality The coefficient δi,1 represents the long-run causal effect in relation to the long-run equilibrium relationship of the cointegrated processes. The coefficients of the lagged values: λ2,j s, represent short-run effects of exports on industrial production. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
  • 29. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality The coefficient δi,1 represents the long-run causal effect in relation to the long-run equilibrium relationship of the cointegrated processes. The coefficients of the lagged values: λ2,j s, represent short-run effects of exports on industrial production. λ1,j s, represent short-run effects of industrial production on exports. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
  • 30. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality The coefficient δi,1 represents the long-run causal effect in relation to the long-run equilibrium relationship of the cointegrated processes. The coefficients of the lagged values: λ2,j s, represent short-run effects of exports on industrial production. λ1,j s, represent short-run effects of industrial production on exports. A test of joint significance of these lagged terms constitutes a short-run Granger causality test. The results are reported in Table 3. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 11/15
  • 31. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality (∆y) (∆x) Panel A: (XG + XS ) Estimated value of δi,1 −0.12 0.09 t-statistics −1.88∗ 0.85 H0 : δi,1 = 0 3.53∗ 0.73 H1 : δi,1 ̸= 0 H0 : λi,j = 0 for all j 0.75 0.80 H1 : λi,j ̸= 0 for at least one j Panel B: (XG ) Estimated value of δi,1 −0.15 0.10 t-statistics −2.09 ∗ ∗ 0.69 H0 : δi,1 = 0 4.36∗∗ 0.47 H1 : δi,1 ̸= 0 H0 : λi,j = 0 for all j 0.95 0.96 H1 : λi,j ̸= 0 for at least one j Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 12/15
  • 32. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Results The estimated value of the speed of adjustment coefficient is negative, −0.12 and statistically significant, −1.88∗ in the industrial production equation (∆y). It indicates that the further away industrial production deviates from its long-run relationship with exports, the lower the growth rate and vice versa. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
  • 33. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Results The estimated value of the speed of adjustment coefficient is negative, −0.12 and statistically significant, −1.88∗ in the industrial production equation (∆y). It indicates that the further away industrial production deviates from its long-run relationship with exports, the lower the growth rate and vice versa. The speed of adjustment coefficient, δi,1 in the the export equation (∆x) is statistically insignificant in both of the two cases: F stat- 0.73 and 0.47! Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
  • 34. Introduction Methodology Conclusion Unit root test Engle-Granger cointegration test VECM and Granger causality Results The estimated value of the speed of adjustment coefficient is negative, −0.12 and statistically significant, −1.88∗ in the industrial production equation (∆y). It indicates that the further away industrial production deviates from its long-run relationship with exports, the lower the growth rate and vice versa. The speed of adjustment coefficient, δi,1 in the the export equation (∆x) is statistically insignificant in both of the two cases: F stat- 0.73 and 0.47! The short-run Granger causality test results reported in the last row of each panel in Table 3 (H1) indicates that there is no causal relationship between export growth and industrial growth. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 13/15
  • 35. Introduction Methodology Conclusion Conclusion Conclusion While the analysis suggests that: Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
  • 36. Introduction Methodology Conclusion Conclusion Conclusion While the analysis suggests that: There is a positive long-run equilibrium relationship between exports and industrial production, there is no evidence of a short-run causal relationship between these two variables. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
  • 37. Introduction Methodology Conclusion Conclusion Conclusion While the analysis suggests that: There is a positive long-run equilibrium relationship between exports and industrial production, there is no evidence of a short-run causal relationship between these two variables. Furthermore, the long-run causality seems to run from exports to industrial production. Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 14/15
  • 38. Introduction Methodology Conclusion Conclusion Thank you! Vinay Tomar (2021HES7092) Export-led growth in Bangladesh:a time series analysis 15/15