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Limitation of the study and Areas for future research

Chapter VI: Conclusions and Policy Recommendations

6.3 Limitation of the study and Areas for future research

This study identified and analyzed the factors influencing sesame exports in BFA using an advanced econometrical technique for the period of 47 years (1970-2016). The dimension of adjusted R square showed, statistically, that 49% of variation in export earnings are explained by other factors not included in this model. This was the constraint of data availability on some relevant factors such as the state’s budget allocated to investments in infrastructure (agricultural infrastructure and others), among others. This factor widely is seen in the literature as a key factor that can determine agricultural exports especially in developing countries. In addition, in a context of climate change, the variable of rainfall might have an impact on the sector performance. However, data on rainfall for BFA are not accurately available for the temporal length used in this study. Moreover, it is clear that farmers have switched to sesame production due the downward pressure on cotton prices, therefore including cotton price in the model could help to capture that effect. Nevertheless, as the rainfall data, producer price of cotton are not accurately available.

As some key factors affecting sesame exports have been identified, future studies can further investigate the trade flow of sesame between BFA and its major trade partners (Japan, Singapore, China...). In addition, further comparative studies between BFA performance and other African exporting countries could help to learn experience from these countries or policies that could enhance the country performance. These outcomes could help to prescribe appropriate trade policies and further strategies aiming to enhance exports and the country’s competiveness in the international markets.

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Exogenous variables: C D1 D2 D3 D4 Date: 03/19/19 Time: 22:25

* indicates lag order selected by the criterion

LR: sequential modified LR test statistic (each test at 5% level) FPE: Final prediction error

AIC: Akaike information criterion SC: Schwarz information criterion HQ: Hannan-Quinn information criterion

A2. Zivot-Andrews Unit Root test with Structural break

Zivot-Andrews Unit Root Test Date: 03/25/19 Time: 12:03 Sample: 1970 2016

Included observations: 47

Null Hypothesis: LOGEXCHRATE has a unit root with a structural break in the intercept

Chosen lag length: 0 (maximum lags: 4) Chosen break point: 1994

t-Statistic Prob. *

Zivot-Andrews test statistic -3.695406 0.001015

1% critical value: -5.34

5% critical value: -4.93

10% critical value: -4.58

* Probability values are calculated from a standard t-distribution and do not take into account the breakpoint selection process

-4.0

1970 1975 1980 1985 1990 1995 2000 2005 2010 2015

Zivot-Andrew Breakpoints

Zivot-Andrews Unit Root Test Date: 03/18/19 Time: 14:03 Sample: 1970 2016

Included observations: 47

Null Hypothesis: LOGXEARNINGS has a unit root with a structural break in the intercept

Chosen lag length: 1 (maximum lags: 4) Chosen break point: 1986

t-Statistic Prob. *

Zivot-Andrews test statistic -3.447123 0.000662

1% critical value: -5.34

1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 Zivot-Andrew Breakpoints

55 Zivot-Andrews Unit Root Test

Date: 03/18/19 Time: 14:03 Sample: 1970 2016

Included observations: 47

Null Hypothesis: LOGPROD has a unit root with a structural break in the intercept

Chosen lag length: 4 (maximum lags: 4) Chosen break point: 2008

t-Statistic Prob. *

Zivot-Andrews test statistic -1.339854 0.018617

1% critical value: -5.34

1970 1975 1980 1985 1990 1995 2000 2005 2010 2015

Zivot-Andrew Breakpoints

Zivot-Andrews Unit Root Test Date: 03/18/19 Time: 14:03 Sample: 1970 2016

Included observations: 47

Null Hypothesis: LOGWEXPRICE has a unit root with a structural break in the intercept

Chosen lag length: 2 (maximum lags: 4) Chosen break point: 2007

t-Statistic Prob. *

Zivot-Andrews test statistic -3.947765 0.000719

1% critical value: -5.34

5% critical value: -4.93

10% critical value: -4.58

-4.0

1970 1975 1980 1985 1990 1995 2000 2005 2010 2015

Zivot-Andrew Breakpoints

Warning: Critical values assume no exogenous series Lags interval (in first differences): 1 to 1

Unrestricted Cointegration Rank Test (Trace)

Hypothesized Trace 0.05

No. of CE(s) Eigenvalue Statistic Critical Value Prob.**

None * 0.666979 103.8335 83.93712 0.0009 Trace test indicates 1 cointegrating eqn(s) at the 0.05 level

* denotes rejection of the hypothesis at the 0.05 level **MacKinnon-Haug-Michelis (1999) p-values

Unrestricted Cointegration Rank Test (Maximum Eigenvalue)

Hypothesized Max-Eigen 0.05

No. of CE(s) Eigenvalue Statistic Critical Value Prob.**

57 Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05 level * denotes rejection of the hypothesis at the 0.05 level

**MacKinnon-Haug-Michelis (1999) p-values

Warning: Rank Test critical values derived assuming no exogenous series Lags interval: 1 to 1

Selected (0.05 level*) Number of Cointegrating

Relations by Model

Data Trend: None None Linear Linear Quadratic

Test Type No Intercept Intercept Intercept Intercept Intercept No Trend No Trend No Trend Trend Trend

Trace 1 1 1 1 1

Max-Eig 1 1 1 1 1

*Critical values based on MacKinnon-Haug-Michelis (1999) A4. VECM output

[-10.1132]

D(LOGPROD(-1)) 0.014220 0.111595 -0.245692 -0.171136 -0.182560 0.062873 (0.15546) (0.02900) (0.15120) (0.09534) (0.05755) (0.04008) [ 0.09147] [ 3.84746] [-1.62500] [-1.79508] [-3.17223] [ 1.56881]

D(LOGPDPRICE(-1)) 0.583160 -0.030054 0.125450 0.017345 0.146921 0.067390 (0.31059) (0.05795) (0.30207) (0.19047) (0.11498) (0.08007)

59 Log likelihood -22.73408 52.81645 -21.48337 -0.731163 21.98342 38.26634 Akaike AIC 1.499293 -1.858509 1.443705 0.521385 -0.488152 -1.211838

A5. Granger causality test within the VECM

VEC Granger Causality/Block Exogeneity Wald Tests

D(LOGPDPRICE) 0.268971 1 0.6040

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All 9.299992 5 0.0977

A6. Autocorrelation LM test output

VEC Residual Serial Correlation LM Tests Date: 03/21/19 Time: 15:44

Sample: 1970 2016 Included observations: 45

Null hypothesis: No serial correlation at lag h

Lag LRE* stat df Prob. Rao F-stat df Prob.

1 37.56640 36 0.3973 1.051731 (36, 103.8) 0.4096

Lag LRE* stat df Prob. Rao F-stat df Prob.

1 37.56640 36 0.3973 1.051731 (36, 103.8) 0.4096

*Edgeworth expansion corrected likelihood ratio statistic.

A7. White test for heteroskedasticity

VEC Residual Heteroskedasticity Tests (Levels and Squares) Date: 03/21/19 Time: 15:49

Sample: 1970 2016 Included observations: 45

Joint test:

Chi-sq df Prob.

344.3130 378 0.8924

A8. Test for normality: Skewness/Kurtosis and Jarque-Bera

0

2008 2009 2010 2011 2012 2013 2014 2015 2016 CUSUM 5% Significance

2008 2009 2010 2011 2012 2013 2014 2015 2016 CUSUM of Squares 5% Significance

A10. Wald test (null hypothesis rejected) Wald Test:

Equation: Untitled

Test Statistic Value df Probability

F-statistic 8.443265 (5, 34) 0.0000

Chi-square 42.21633 5 0.0000

Null Hypothesis: C(3)=C(4)=C(5)=C(6)=C(7)=0 Null Hypothesis Summary:

63

Normalized Restriction (= 0) Value Std. Err.

C(3) 2.309831 0.576254

C(4) 0.014220 0.155456

C(5) 0.583160 0.310587

C(6) 1.302969 0.528445

C(7) 2.115835 0.577834

Restrictions are linear in coefficients.

A11. Stability

-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5

-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5

Inverse Roots of AR Characteristic Polynomial

A12. Endogenous graphs

12

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