ARGENTINEAN TOURISM DEMAND IN
URUGUAY: DETERMINANTS AND
PROJECTIONS
(Preliminary draft, June 2014)1
Gabriela Mordecki
Instituto de Economía, Facultad de Ciencias Económicas y de
Administración, Universidad de la República
1 The autor thanks to Sandra Rodríguez and Adrián Risso, for constructive comments and useful suggestions. All remaining errors are the author’s. ABSTRACT
In Uruguay total yearly tourists represent about 90% of its population of which historically 60% or more have come from Argentina. Tourist activities have a great impact on Uruguayan economy. They represent about
4% of Uruguayan GDP and generate near 6% of total employment and 14% of total exports. For this reason it is important to analyze the determinants behind tourism demand. In this paper we study the relationship between the number of Argentinean tourists in Uruguay, their real tourism expenditure,
Argentinean GDP and the real exchange rate (RER) between Uruguay and
Argentina trying to find long-run relationships between variables, following
Johansen methodology. We found two cointegration relationships, through
Vector error correction models (VECM). In the first one we include real tourism expenditure, Argentinean GDP and the RER between Argentina and
Uruguay, and through this model we project a decline in Argentinean spending during 2014 and recovery in 2015. In the second one, we try to estimate the number of Argentinean tourists, using monthly dada of tourists, a monthly indicator of Argentinean activity and the RER between Uruguay and Argentina. The model’s forecast indicates a slight decrease of
Argentinean tourism expenditure in 2014 and a recovering for 2015.
Key words: tourism demand, cointegration, real exchange rate
JEL: C32, F14, F41.
1. INTRODUCTION
Alexis Papathanassis (2011) asserts that over the last years the tourism
2 sector has grown substantially in a number of ways, and at a global level, tourism appears to be crisis-resistant. The World Tourism Organization
(2013) annual report affirms, “In spite of persisting global economic challenges and geopolitical shifts, tourism continues to grow and even exceed long-term forecasts and expectations”. After reaching in 2012 one billion people traveling around the world annually, tourism maintained the trend with a 5% growth in 2013. However, each region has different characteristics making relevant to study the particular cases. This paper refers to a small country, Uruguay, located in the south of South America, between two big neighbors: Argentina and Brazil, and with a very peculiar geographic and political structure that was defined by its history and afterwards development.
Uruguay has 3.3 million inhabitants, with 700 km of beaches over the Rio de la Plata, with a temperate climate. Argentinean tourists have historically been our main visitors. Our main touristic resort, Punta del Este is about 360 km from Buenos Aires, Argentinean capital city. Then Argentinean tourists came to our country for its annual holidays, long week-ends, winter holidays, and also many of them have their own houses in Uruguay, family relationships, and many times investments and commercial interests.
Total yearly tourists represent about 90% of Uruguayan population.
Argentinean tourists represent nearly 60% of this total, a participation rate that has been maintained over time. Tourist activities have a great impact on
Uruguayan economy. They represent about 4% of Uruguayan GDP and generate about 6% of total employment and 14% of total exports.
3
Figure 1. Annual tourists arrivals to in Uruguay by nationality
3,500 Rest of the world tourists 3,000 Brazilian tourists
2,500 Argentinean tourists
2,000
1,500
1,000
Thousandspeopleof 500
0
01 06 11 96
00 05 10
99 09 04
96 11 01 06
98 03 08 13
97 02 07 12
- - - -
- - -
- - -
- - - -
- - - -
- - - -
Jul Jul Jul Jul
Jan Jan Jan Jan
Sep Sep Sep Sep
Mar Mar Mar
Nov Nov Nov Nov
May May May SOURCE: Ministry of Tourism, Uruguay
Figure 1 shows the evolution of tourism in Uruguay during the period of analysis (Jan-1996 to Dec-2013). Argentinean tourists have increased substantially during the last decade, after the 2001-2002 crises, but they have stagnated and even diminished in recent years, due to internal problems of Argentinean economy and overvaluation of our local currency.
Brazilian tourists, on the other hand, have increased in the last years, but they only represent about 14% of total tourists.
In Figure 2 we have data of annual international tourism receipts, considered by nationality. The evolution is similar to the number of tourists, and although the increase has accelerated in the last decade, the participation rates of the principal nationalities remain similar.
Figure 2. Annual international tourism receipts in Uruguay by nationality
4
2000 Resto of the world 1500 Brazil Argentina
1000 Million ofMillion dollars 500
0
97 98 99 01 02 03 05 06 08 09 10 12 13 96 00 04 07 11
------
Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec Dec SOURCE: Ministry of Tourism, Uruguay
To explain this difference it is important to know the determinants of tourists demand. Altmark et al. (2013) estimate the Argentinean and
Brazilian tourism demand, for the period ended in the second quarter of
2011. Since then, Argentina have gotten through Balance of Payment problems consequently devaluating its currency and imposing strict controls to the acquisition of foreign currency for tourists going abroad. Therefore, the main objective of this work is to estimate Argentinean tourist demand
(tourists arrivals and their expenditure), considering data from January 1996 up to December 2013, and using this models to make projections for 2014 and 2015. This is an example of a small economy impacted by devaluation and currency control policies in the main source of tourism.
In this paper we study the relationship between the number of Argentinean tourists in Uruguay, its real spending, Argentinean GDP and the real exchange rate between Uruguay and Argentina trying to find long-run relationships between variables, following the cointegration methodology developed by Johansen (1988).
5
The present paper is organized as follows. The second section intends to describe the analysis framework and background; in section three we estimate the models; in the fourth section we make some projections and finally, the fifth section draws some conclusions.
2. ANALYSIS FRAMEWORK AND BACKGROUND
Paraskervopoulos (1977), Loeb (1982), Stronge and Redman (1982), Truett and Truett, (1987), Witt and Witt (1995), Mudambi and Baum (1997), are examples of some important works about estimation of the determinants of a tourist demand. Crouch (1994) found 80 empirical studies on the demand function for tourism. Song and Li (2008) review the published studies on tourism demand modeling and forecasting since 2000. Most of these works focused on income of source countries, and the relative price of the exported tourist services as the main determinants of tourism demand.
Works focused on Uruguayan tourism study the relevance of tourism activities on GDP growth, as Brida et al. (2010), but mainly they try to estimate the determinants of the tourism demand, like Robano (2000),
Altmark et al. (2012), or Serviansky (2011). In these works the authors, with different emphasis, try to find a relationship between real tourism spending with real income of the source tourists.
Lim (1997) presents a review of more than 100 published studies of empirical international tourism demand models. Tourist arrivals/departures and expenditures/receipts have been the most frequently used dependent variables. The most popular explanatory variables used have been income, relative tourism prices, and transportation costs. Song and Li (2008) found
6 that the methods used in analyzing and forecasting the demand for tourism have been more diverse than those identified by other review articles, and in addition to the most popular time-series and econometric models, a number of new techniques have emerged in the literature.
3. MODEL
3.1 Data and methodology
In this paper we consider two alternative measures for tourist demand: number of tourists entering the country and real tourists spending. We will try to find a long-run relationship of these variables with the country source income and relative prices, measured by the real exchange rate between both countries (Argentina and Uruguay).
To carry out this investigation, we estimated two vector error correction models (VECM), following Enders (1995), and considered data from
January 1996 to December 2013.
The first model considers quarterly data of Argentinean real tourism expenditure (LGA), Argentinean GDP (GDP_AR) and the real exchange rate between Argentina and Uruguay (LTCRA), all in logarithms (see Figure
3).
Figure 3. Income from Argentinean tourism, GDP and real exchange rate
(quarterly data)
7
250 LGA 200 LTCRA GDP_AR 150
100
IndexMarch96=100 50
0
96 99 11 02 05 08
98 01 13 04 07 10
97 00 12 03 06 09
96 99 11 02 05 08
------
------
------
------
dic dic dic dic dic dic
jun jun jun jun jun jun
sep sep sep sep sep sep
mar mar mar mar mar mar SOURCE: MinTur, BCRA, IECON
The second model uses monthly data and the variables considered are: the number of Argentinean tourists entering Uruguay (TUR_ARG), a monthly indicator of Argentinean activity (LEMAE) and the real exchange rate between Argentina and Uruguay (LTA), all considered in logarithms (Figure
4).
Figure 4. Argentinean tourists, activity indicator and real exchange rate
(monthly data)
250 LEMAE
200 TUR_ARG LTA
150
96=100 -
100 IndexJan 50
0
03
96 07
99 06 10
05
02 13
04
97 00 11 08
98 09
07 96
01 12
-
- -
- - -
-
- -
-
- - - -
- -
- -
- -
Jul Jul
Jan Jan
Jun Jun
Oct Oct
Sep Feb Sep
Apr
Dec Dec
Aug Aug
Mar
Nov Nov May SOURCE: Mintur, IECON, BCRA
The Argentinean GPD with quarterly data, the monthly activity indicator
(EMAE), the number of tourists and the tourism expenditure has high
8 seasonality, and then some significant seasonal dummies were introduced in both models. Before that we performed the Augmented Dickey-Fuller
(ADF) test to test the integration degree, which results are shown in Table 1.
All the cases were non-stationary series with a unit root, i.e., I (1).
According to the theory, this is a result generally expected for economic series, opening the possibility to analyze whether there is a cointegration vector between the series, showing a long-term relationship between variables.
Table 1. Unit root tests
Augmented Dickey-Fuller
HO = there is an unit root
Statistic value Rejection Statistic value of Rejection of the series in H0 up to the series in first H0 up levels 95% differences to 95% LGA 0.398289 No -2.452891 Yes (no constant, (no constant,
8 lags) 10 lags) GDP_AR 1.494793 No -2.611534 Yes (no constant, (no constant,
5 lags) 4 lags) LTCRA -0.785982 No -6.099693 Yes (no constant, (no constant,
4 lags) 3 lags) TUR_ARG -0.002279 No -4.297616 Yes (no constant, 13 (no constant,
lags) 12 lags) LEMAE 0.866585 No -2.508460 Yes (no constant, (no constant,
13 lags) 14 lags) LTA -0.715271 No -6.178068 Yes (no constant, (no constant,
11 lags) 10 lags) Lags are calculated due to Akaike criteria
To test the existence of long term equilibrium relationships among the variables we applied the Johansen (1988) methodology. From this verification, we estimated a vector error correction model VECM (Engle
9 and Granger, 1987 and Johansen, 1992).
3.2 Johansen cointegration method
Following Enders (1995), cointegration analysis is based on an autoregressive vector with Vector Error Correction Model specification for an endogenous variable vector.
t=1, … , T
Where
is a vector of constants and Dt contains a set of dummies (seasonal and interventions).
Information about long-term relationships is included in the matrix, where is the coefficient’s vector for the existing equilibrium relationships, and is the vector for short-term adjustment mechanism coefficients. The identification of the matrix range determines the total cointegration relationships existing among the variables.
Once examined the long-term relationship, we proceed to the short-term analysis, which shows different adjustment mechanisms of the variables to the long-run equilibrium.
The cointegration is analyzed with Johansen test, from the Trace and the
Eigenvalue of matrix Π (Tables 2 and 3). The existence of a cointegrating vector is not rejected, and the signs of the variables were as expected.
Moreover, in the resulting pattern exclusion tests for and weak exogeneity test for all were significant. Furthermore, residuals were well behaved
10
(see Annex).
Table 2. Cointegration test for first model with quarterly data
Sample (adjusted): 1996Q3 2013Q3 Included observations: 69 after adjustments Trend assumption: No deterministic trend (restricted constant) Series: LGA LTCRA GDP_AR Exogenous series: D(S1) D(S2) D(S4) D(E021) D(I022) D(I121) D(I094) D(I083) D(E092) D(E043) D(E031) 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 * 0.366442 39.70656 35.19275 0.0152 At most 1 0.089384 8.214658 20.26184 0.8065 At most 2 0.025099 1.753918 9.164546 0.8260
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.**
None * 0.366442 31.49191 22.29962 0.0020 At most 1 0.089384 6.460740 15.89210 0.7347 At most 2 0.025099 1.753918 9.164546 0.8260
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
Table 3. Cointegration test for second model with monthly data
11
Sample (adjusted): 1996M08 2013M12 Included observations: 209 after adjustments Trend assumption: Linear deterministic trend Series: TUR_ARG LTA LEMAE Exogenous series: D(I0202) D(E0202) D(I0210) D(S1) D(S2) D(S3) D(S4) D(S5) D(S6) D(S7) D(S8) D(S9) D(S10) D(S11) D(E0201) D(I0205) D(I0301) Warning: Critical values assume no exogenous series Lags interval (in first differences): 1 to 6
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05 No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.130030 37.03493 29.79707 0.0062 At most 1 0.037173 7.921986 15.49471 0.4738 At most 2 2.30E-05 0.004803 3.841466 0.9438
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.**
None * 0.130030 29.11295 21.13162 0.0031 At most 1 0.037173 7.917182 14.26460 0.3872 At most 2 2.30E-05 0.004803 3.841466 0.9438
Max-eigenvalue test indicates 1 cointegratin g eqn(s) at the 0.05 level * denotes rejection of the hypothesis at the 0.05 level **MacKinnon-Haug-Michelis (1999) p-values
Thus, the vectors found are:
For the first model
LGA 2.697 LTCRA 3.347GDP _ AR 36.036 t t t (7.444) (9.966)
As variables were considered in logarithms, the coefficients can be read as elasticities. Therefore, with the increase of one percentage point (pp) in real exchange rate considered through LTCRA, the tourists spending (LGA) grows 2.697%. On the other hand, with the increase of one pp in activity, the number of tourists increases 3.347%. This confirms that tourism is a luxury
12 activity, because its income-elasticity results greater than 1.
For the second model the coefficients are smaller than the ones that result of the quarterly model, but the implications are the same.
TUR_ ARG 1.925 LTA 1.687LEMAE 5.20 t t t (9.398) (9.275)
In this case, with the increase of one pp in real exchange rate considered through LTA, the number of tourists (TUR_ARG) grows 1.925%. On the other hand, with the increase of one pp in activity, the number of tourists increases 1.687%. This again confirms that tourism is a luxury activity, with the income-elasticity greater than 1.
Expenditure is more elastic to changes in relative prices and income than the number of tourist.
3.3 Impulse-response functions
The impulse response functions show the reaction of the different variables to external changes in the other ones. In this first case, a shock is simulated in real exchange rate and real income. Depending on the case they have an impact on tourists’ arrivals or tourists spending. Figures 5 and 6 show the response of tourists arrivals and spending to a positive shock on
Argentineans income and real exchange rate.
Figure 5. Tourists’ spending impulse-response function
13
Response of LGA to Cholesky One S.D. Innovations
.08
.07
.06
.05
.04
.03
.02
.01
.00 1 2 3 4 5 6 7 8 9 10
LTCRA GDP_AR
After 4 quarters GDP fits around 7.5% to a positive shock on Argentinean income and the effect of real exchange rate appears positive near 1%.
Figure 6. Number of tourists impulse-response function
Response of TUR_ARG to Cholesky One S.D. Innovations
.05
.04
.03
.02
.01
.00 2 4 6 8 10 12 14 16 18 20
LEMAE LTA
Considering monthly data and number of tourists’ arrivals, the effects seem
14 to be less extreme. After 12 months, the overall impact over the number of tourists to a positive shock on Argentinean income is around 4%, while is
1% to an increase on the bilateral real exchange rate.
4. PROJECTIONS
To complete this analysis of tourism demand, it is important to consider the possible future trajectory of tourists and their spending.
According to the first model, Argentinean tourists’ spending will increase
10% during 2014, and it will grow 3% in 2015.
Figure 7. Argentinean tourists’ spending projections
600 LGA 500 LGA_proj
400
300
Million dollars Million 200
100
0
11 13 14 15 10 12
10 11 12 14 13 15
10 11 12 13 14 15
10 11 12 13 14 15
------
------
------
------
dic dic dic dic dic dic
jun jun jun jun jun jun
sep sep sep sep sep sep
mar mar mar mar mar mar
In the second model projections indicate that the number of tourists will recover during 2014 (2%), but decrease again during 2015 (1.5%).
Nevertheless, considering the confidence interval these results are not significantly different from zero.
Figure 8. Argentinean tourists’ arrivals projections
15
400 TUR_ARG 350 TUR_ARG_proj 300
250
200
150
Thousands Thousands people of 100
50
0
12 13 14 15
12 13 14 15
12 13 14 15
12 13 14 15
- - - -
- - - -
- - - -
- - - -
Jul Jul Jul Jul
Jan Jan Jan Jan
Oct Oct Oct Oct
Apr Apr Apr Apr
5. CONCLUDING REMARKS
The main objective of this paper was to estimate a demand function for
Argentinean tourism demand in Uruguay. This is an example of a small economy impacted by devaluation and control currency policies applied in the main source of tourism. This objective was instrumented through the estimation of two models, one considering the Argentinean tourists’ spending in Uruguay (using quarterly data) and a second one using the number of tourists entering Uruguay (monthly data). For both models we applied Johansen methodology and we found two long-run relationships, one for each model. The other variables considered were Argentinean income and real exchange rate between Uruguay and Argentina. Both resulted significant in both models.
The two models show income-elasticities larger than one, what shows the characteristic of “luxury” good that applies to tourism. That is, as income grows, this kind of consumption grows more than proportionally.
The impulse-response functions show a greater impact of income changes
16 over relative prices changes, and this difference is more important for spending than for the number of tourists.
Finally we projected the estimated series and the model forecast an increase in expenditure, but tourists’ arrivals seem to increase only slightly or stay equal to the year before. The results suggest that changes in relative prices and Argentinean income have more impact in real expenditure than in the number of tourists.
REFERENCES
Altmark, S., Mordecki, G., Risso, W.A., Santiñaque, F. 2013. Argentinian
and Brazilian Demands for Tourism in Uruguay. Tourism Analysis,
Vol. 8, pp 173-182.
Brida, J., Lanzilotta, B., Risso, W. 2010. The tourism-led growth hypothesis
for Uruguay, Tourism Economics, vol. 16 (3), pp. 765-771.
Crouch, G. I. 1995. A meta-analysis of tourism demand. Annals of Tourism
Research, Volume 22, Issue 1.
Enders, W. 1995. Applied Econometric Time Series. Iowa State University,
John Wiley & Sons, Inc. Editors.
Engle, R. F.; Granger, C. W. J. 1987. Co-Integration and Error Correction:
Representation, Estimation, and Testing. Econometrica, Vol. 55, No.
2, pp. 251-276.
Johansen, S. 1988. Statistical Analysis of Cointegration Vectors, Journal of
Economic Dynamics and Control, vol. 12, pp. 231-254.
Johansen, S. 1992. Cointegration in Partial Systems and the Efficiency of
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Single-equation Analysis. Journal of Econometrics, 52, 3, pp. 389-
402.
Lim, C. 1997. Review of international tourism demand models, Annals of
Tourism Research, Volume 24, Issue 4, October 1997, Pages 835–
849.
Loeb P. D. 1982. International travel to the United States: an econometric
evaluation, Annals of Tourism Research, vol. 9, pp. 7-20.
Mudambi, R. and Baum, T. 1997. Strategic segmentation: an empirical
analysis of tourist expenditure in Turkey, Journal of Travel Research,
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Paraskevopolous, G. 1977. An Econometric Analysis of International
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Research, Athens, Greece.
Robano, V. 2000. Determinantes del turismo receptivo en Uruguay,
Proceedings of the XV Jornadas de Economía del Banco Central del
Uruguay, Montevideo.
Serviansky, M. 2011, El impacto del costo del transporte en la demanda de
turismo receptivo argentino en Uruguay. Un análisis desagregado de
cointegración y causalidad, thesis presented to obtain the master
degree in economics, Montevideo, Uruguay.
Song, H. and Li, G. 2008. Tourism demand modelling and forecasting—A
review of recent research. Tourism Management, Volume 29, Issue 2,
Pages 203–220
18
Stronge, W., and Redman, M., (1982), US tourism in Mexico: and empirical
analysis, Annals of Tourism Research, Vol. 9, pp. 21-35.
Truett, D., and Truett, L. 1987. The response of tourism to international
economic conditions: Greece, Mexico, and Spain, The Journal of
Developing Areas, vol. 21, pp. 177-90.
Witt S. F. and Witt C. A. 1995. Forecasting tourism demand: A review of
empirical research. International Journal of Forecasting, Volume 11,
Issue 3.
19
6. ANNEX
Fist model residual tests
Normality:
VEC Residual Normality Tests Orthogonalization: Cholesky (Lutkepohl) Null Hypothesis: residuals are multivariate normal Sample: 1996Q1 2015Q4 Included observations: 69
Component Skewness Chi-sq df Prob.
1 0.191875 0.423386 1 0.5153 2 0.255207 0.749000 1 0.3868 3 -0.446737 2.295105 1 0.1298
Joint 3.467491 3 0.3250
Component Kurtosis Chi-sq df Prob.
1 2.203154 1.825519 1 0.1767 2 4.029687 3.048232 1 0.0808 3 2.704649 0.250793 1 0.6165
Joint 5.124543 3 0.1629
Component Jarque-Bera df Prob.
1 2.248904 2 0.3248 2 3.797232 2 0.1498 3 2.545898 2 0.2800
Joint 8.592034 6 0.1979
Autocorrelation:
VEC Residual Serial Correlation LM Tests Null Hypothesis: no serial correlation at lag order h Sample: 1996Q1 2015Q4 Included observations: 69
Lags LM-Stat Prob
1 23.93836 0.0044 2 13.56943 0.1385 3 8.442136 0.4903 4 18.90907 0.0260 5 9.164488 0.4222 6 7.517004 0.5835 7 18.66347 0.0282 8 6.834138 0.6544 9 11.45810 0.2456 10 10.78855 0.2905
Probs from chi-square with 9 df.
20
Second model residual tests
Normality:
VEC Residual Normality Tests Orthogonalization: Cholesky (Lutkepohl) Null Hypothesis: residuals are multivariate normal Sample: 1996M01 2015M12 Included observations: 209
Component Skewness Chi -sq df Prob.
1 -0.075538 0.198 761 1 0.6557 2 0.273338 2.602527 1 0.1067 3 0.223482 1.739725 1 0.1872
Joint 4.541013 3 0.2087
Component Kurtosis Chi -sq df Prob.
1 3.299756 0.782473 1 0.3764 2 3.499022 2.168571 1 0.1409 3 2.918815 0.057397 1 0.8107
Joint 3.008441 3 0.3903
Component Jarque -Bera df Prob.
1 0.981234 2 0.6122 2 4.771097 2 0.0920 3 1.797122 2 0.4072
Joint 7.549453 6 0.2730
Autocorrelation:
VEC Residual Serial Correlation LM Tests Null Hypothesis: no serial correlation at lag order h Sample: 1996M01 2015M12 Included observations: 209
Lags LM- Stat Prob
1 22.21780 0.0082 2 10.51027 0.3108 3 15.93214 0.0683 4 6.661134 0.6724 5 14.98259 0.0914 6 15.12352 0.0876 7 6.460319 0.6931
Probs from chi-square with 9 df.
21
First Model:
Vector Error Correction Estimates Sample (adjusted): 1996Q3 2013Q3 Included observations: 69 after adjustments Standard errors in ( ) & t-statistics in [ ]
Cointegrating Eq: CointEq1
LGA( -1) 1.000000
LTCRA(-1) -2.697383 (0.36236) [-7.44397]
GDP_AR(-1) -3.347199 (0.34523) [-9.69556]
C 36.03586
Error Correction: D(LGA) D(LTCRA) D(GDP_AR)
CointEq1 -0.107266 0.023199 0.023963 (0.05638) (0.01434) (0.01000) [-1.90271] [ 1.61781] [ 2.39632]
D(LGA(-1)) 0.089760 0.007175 -0.010325 (0.11259) (0.02864) (0.01997) [ 0.79725] [ 0.25056] [-0.51700]
D(LTCRA(-1)) -0.146528 0.169232 0.021503 (0.18708) (0.04759) (0.03318) [-0.78322] [ 3.55628] [ 0.64798]
D(GDP_AR(-1)) 2.347554 -0.316665 0.406232 (0.80550) (0.20489) (0.14288) [ 2.91441] [-1.54555] [ 2.84317]
C -0.015504 0.006536 0.005712 (0.01701) (0.00433) (0.00302) [-0.91141] [ 1.51060] [ 1.89282]
D(S1) 1.603882 -0.009712 -0.042666 (0.08294) (0.02110) (0.01471) [ 19.3381] [-0.46034] [-2.90015]
D(S2) 0.144081 -0.064420 0.073332 (0.22444) (0.05709) (0.03981) [ 0.64195] [-1.12838] [ 1.84197]
D(S4) 0.540757 -0.009582 0.031541 (0.04906) (0.01248) (0.00870) [ 11.0216] [-0.76784] [ 3.62421]
D(E021) -0.284672 -0.487695 -0.034333 (0.13439) (0.03418) (0.02384) [-2.11819] [-14.2665] [-1.44020]
22
D(I022) 0.110287 -0.357587 0.040685 (0.09463) (0.02407) (0.01679) [ 1.16546] [-14.8560] [ 2.42382]
D(I121) -0.307263 0.009306 0.009311 (0.08697) (0.02212) (0.01543) [-3.53298] [ 0.42067] [ 0.60358]
D(I094) 0.108468 0.081673 0.001074 (0.08465) (0.02153) (0.01501) [ 1.28142] [ 3.79330] [ 0.07156]
D(I083) 0.253743 0.012341 0.013905 (0.09109) (0.02317) (0.01616) [ 2.78563] [ 0.53264] [ 0.86061]
D(E092) 0.439773 -0.029332 -0.009616 (0.12194) (0.03102) (0.02163) [ 3.60658] [-0.94570] [-0.44460]
D(E043) -0.229545 -0.079441 0.022871 (0.11936) (0.03036) (0.02117) [-1.92308] [-2.61650] [ 1.08021]
D(E031) 0.186369 0.140957 0.013923 (0.12135) (0.03087) (0.02153) [ 1.53576] [ 4.56649] [ 0.64681]
R-squared 0.990371 0.921727 0.936440 Adj. R-squared 0.987645 0.899575 0.918451 Sum sq. resids 0.698258 0.045178 0.021970 S.E. equation 0.114781 0.029196 0.020360 F-statistic 363.4008 41.60802 52.05683 Log likelihood 60.56115 155.0218 179.8938 Akaike AIC -1.291627 -4.029617 -4.750546 Schwarz SC -0.773574 -3.511563 -4.232492 Mean dependent 0.009891 -0.003615 0.009262 S.D. dependent 1.032655 0.092130 0.071296
Determinant resid covariance (dof adj.) 3.74E -09 Determinant resid covariance 1.70E-09 Log likelihood 402.9969 Akaike information criterion -10.20281 Schwarz criterion -8.551513
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Second Model:
Vector Error Correction Estimates Sample (adjusted): 1996M08 2013M12 Included observations: 209 after adjustments Standard errors in ( ) & t-statistics in [ ]
Cointegrating Eq: CointEq1
TUR_ARG( -1) 1.000000 LTA(-1) -1.924559 (0.20478) [-9.39826] LEMAE(-1) -1.686991 (0.18189) [-9.27455] C 5.203793
Error Correction: D(TUR_ARG) D(LTA) D(LEMAE)
CointEq1 -0.161345 0.026822 0.021196 (0.05687) (0.00849) (0.00647) [-2.83711] [ 3.15759] [ 3.27739]
D(TUR_ARG(-1)) -0.539672 -0.022575 -0.000579 (0.08861) (0.01323) (0.01008) [-6.09066] [-1.70575] [-0.05742]
D(TUR_ARG(-2)) -0.255826 -0.005812 0.006250 (0.09242) (0.01380) (0.01051) [-2.76816] [-0.42106] [ 0.59467]
D(TUR_ARG(-3)) -0.210588 -0.002163 -0.015126 (0.09163) (0.01369) (0.01042) [-2.29835] [-0.15805] [-1.45167]
D(TUR_ARG(-4)) -0.240542 -0.015507 -0.025460 (0.09005) (0.01345) (0.01024) [-2.67109] [-1.15281] [-2.48611]
D(TUR_ARG(-5)) -0.129257 0.008421 -0.003732 (0.09036) (0.01350) (0.01028) [-1.43053] [ 0.62393] [-0.36317]
D(TUR_ARG(-6)) -0.038350 0.019927 0.004118 (0.07453) (0.01113) (0.00848) [-0.51458] [ 1.79009] [ 0.48595] D(LTA(-1)) 0.040268 0.743270 -0.075972 (0.39686) (0.05928) (0.04513) [ 0.10147] [ 12.5388] [-1.68337] D(LTA(-2)) -0.361859 -0.368596 0.085577 (0.38599) (0.05765) (0.04389) [-0.93749] [-6.39324] [ 1.94961] D(LTA(-3)) 0.399072 0.271399 -0.000455 (0.34655) (0.05176) (0.03941) [ 1.15157] [ 5.24316] [-0.01156] D(LTA(-4)) -1.049735 -0.139776 -0.022859 (0.35394) (0.05287) (0.04025) [-2.96590] [-2.64397] [-0.56794]
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D(LTA(-5)) 0.614522 -0.109583 0.047561 (0.35851) (0.05355) (0.04077) [ 1.71411] [-2.04640] [ 1.16658] D(LTA(-6)) -0.270644 0.102219 0.043154 (0.33534) (0.05009) (0.03813) [-0.80707] [ 2.04076] [ 1.13161] D(LEMAE(-1)) 1.710190 -0.104338 -0.012513 (0.64083) (0.09572) (0.07288) [ 2.66871] [-1.09005] [-0.17170] D(LEMAE(-2)) 2.215485 0.056751 -0.247619 (0.62297) (0.09305) (0.07084) [ 3.55633] [ 0.60989] [-3.49527] D(LEMAE(-3)) 0.608542 -0.055746 0.418377 (0.65315) (0.09756) (0.07428) [ 0.93170] [-0.57140] [ 5.63270] D(LEMAE(-4)) 0.861218 -0.041965 -0.142943 (0.68107) (0.10173) (0.07745) [ 1.26451] [-0.41252] [-1.84559] D(LEMAE(-5)) -0.408366 -0.123069 0.292217 (0.63257) (0.09449) (0.07194) [-0.64557] [-1.30253] [ 4.06219] D(LEMAE(-6)) -0.593326 -0.028941 0.134745 (0.66854) (0.09986) (0.07603) [-0.88750] [-0.28982] [ 1.77236] C -0.012062 0.002050 0.001687 (0.01084) (0.00162) (0.00123) [-1.11306] [ 1.26663] [ 1.36892]
D(I0202) -0.217777 0.066117 0.006460 (0.17726) (0.02648) (0.02016) [-1.22858] [ 2.49717] [ 0.32046]
D(E0202) 0.128039 -0.286660 -0.005815 (0.27066) (0.04043) (0.03078) [ 0.47306] [-7.09058] [-0.18893]
D(I0210) 0.030877 -0.112163 -0.007298 (0.11521) (0.01721) (0.01310) [ 0.26799] [-6.51763] [-0.55698]
D(S1) 0.939223 -0.007736 -0.143623 (0.07454) (0.01113) (0.00848) [ 12.6002] [-0.69484] [-16.9432]
D(S2) 1.494478 -0.032543 -0.152643 (0.17104) (0.02555) (0.01945) [ 8.73783] [-1.27386] [-7.84791]
D(S3) 1.441136 -0.039988 -0.080813 (0.25336) (0.03784) (0.02881) [ 5.68812] [-1.05666] [-2.80485]
D(S4) 0.915654 -0.046318 0.014586 (0.30245) (0.04518) (0.03439) [ 3.02750] [-1.02529] [ 0.42407] D(S5) 0.301653 -0.058543 0.067486 (0.32125) (0.04798) (0.03653) [ 0.93900] [-1.22005] [ 1.84728] D(S6) -0.502545 -0.078430 0.012501
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(0.31303) (0.04676) (0.03560) [-1.60544] [-1.67745] [ 0.35118] D(S7) -0.735700 -0.082586 0.039046 (0.25925) (0.03872) (0.02948) [-2.83780] [-2.13271] [ 1.32440] D(S8) -0.845856 -0.052441 -0.036299 (0.17128) (0.02558) (0.01948) [-4.93831] [-2.04974] [-1.86354] D(S9) -1.032714 -0.025049 -0.045752 (0.10253) (0.01531) (0.01166) [-10.0723] [-1.63564] [-3.92392]
D(S10) -0.778943 -0.021556 -0.053122 (0.08966) (0.01339) (0.01020) [-8.68732] [-1.60951] [-5.20973]
D(S11) -0.581380 0.008889 -0.011795 (0.07067) (0.01056) (0.00804) [-8.22673] [ 0.84213] [-1.46772]
D(E0201) -0.308310 -0.172304 -0.025897 (0.14412) (0.02153) (0.01639) [-2.13921] [-8.00401] [-1.58008]
D(I0205) 0.007025 -0.175820 0.010521 (0.12114) (0.01809) (0.01378) [ 0.05799] [-9.71662] [ 0.76367]
D(I0301) 0.052486 0.086489 -0.007063 (0.10336) (0.01544) (0.01175) [ 0.50779] [ 5.60198] [-0.60086]
D(I0109) -0.073109 -0.003152 -0.031070 (0.09714) (0.01451) (0.01105) [-0.75262] [-0.21722] [-2.81258] D(I0306) -0.064061 -0.073444 0.017493 (0.10146) (0.01516) (0.01154) [-0.63138] [-4.84619] [ 1.51610] D(I1106) -0.025882 0.042119 0.001216 (0.09751) (0.01456) (0.01109) [-0.26543] [ 2.89183] [ 0.10965]
R-squared 0.914770 0.845283 0.950882 Adj. R-squared 0.895101 0.809579 0.939547 Sum sq. resids 2.741737 0.061169 0.035457 S.E. equation 0.127371 0.019025 0.014485 F-statistic 46.50924 23.67474 83.88968 Log likelihood 156.3180 553.7001 610.6873 Akaike AIC -1.113090 -4.915790 -5.461122 Schwarz SC -0.473409 -4.276109 -4.821441 Mean dependent 0.003541 -0.001801 0.002980 S.D. dependent 0.393264 0.043598 0.058911
Determinant resid covariance (dof adj.) 1.21E -09 Determinant resid covariance 6.39E-10 Log likelihood 1322.721 Akaike information criterion -11.48058 Schwarz criterion -9.513563
26