This paper, which is based on the five major economies of European Union , France, Germany, Holland, Luxembourg, Sweden and United Kingdom, is dedicated to the empirical analysis on synchronization of economic fluctuation in the European Union (EU). The research conclusions show that during the period spanning from 1971-2016, the synchronization of EU economic fluctuations is significant, while the deepening of regional integration witnesses the gradual enhancement of the synchronization in the EU. Meanwhile, the research also shows that some dis-synchronization has been existing within EU, which indicates the presence of the discordance in EU economic policies and regional cooperative mechanism.
With the globalization deepening, regional and international economic fluctuation synchronization has been shed light on for current years. Researches on economic fluctuation synchronization have their great economic and managerial implications for both international, national and entrepreneurial management and risk control. In international regime, economic fluctuation synchronization at least manifests the trend of economic integration of economies with economic or politic coalition and hence leads to international policy compromising and temporization or further integration. In national regime, with awareness of economic fluctuation synchronization with other economies, the country will work on the international cooperation and risk-control conducted through the international synchronization. In corporate level, economic fluctuation synchronization brings firms (particularly transnational corporations) the enlarged and promising profitable market in booming season while makes entrepreneurs suffer the cramped elbow-room in recession time, and the cooperations will act accordingly to the situation exerted by economic fluctuation synchronization.
With the previous statement presenting the importance of the study over economic fluctuation synchronization, the article is devoted to exploring the economic fluctuation synchronization in European Union (EU) based on such five major economies as France, Holland, Luxembourg, Sweden and the UK, which are a very representative mix of EU economies. The article estimates the annual economic synchronization index (1990-2016) of EU sample economies, which clearly characterize the EU economic fluctuation synchronization. However, the small sample capacity even with the most typicality still proves to be insufficient in stringency.
The article organization goes as follows, the literature to argue economic fluctuation synchronization will be recalled in the next section, and we present our empirical methodology employed in Section 3 and the analysis based on trend comparison and correlation in Section 4. And the analysis based on C-M synchronization index method (Cerqueira and Martins’ method) is to be engaged in Section 5, while Section 6 concludes.
Economic fluctuation synchronization is a comprehensive expression about economic synchronization and interaction existing among different economies. Scholars [
At present, there are many differences about the definition of synchronization among academic circles, so a consensus has not been reached yet. Zhou Yangmin [
Many scholars [
Based on the topic of this paper, the authors accept that the definition of synergy is Synchronization, and choose some typical EU economies such as France, Holland, Luxembourg, Sweden and UK as samples to study internal economic fluctuations among EU member nations. We have chosen to study and conduct detailed analysis on these five economies within EU, because, in our opinion, they have the most versatile and robust economies within European Union.
The data which this paper uses, is the economic growth rate of sample countries from 1971-2016. Economic growth rate is the core index which measures economic fluctuation. Many scholars [
The main methods of the paper are correlation analysis and C-M synchronization index method. Correlation analysis is a very simple method; this method can show the economic fluctuations situation between EU sample countries. C-M synchronization index calculation method is more complicated but can show economic fluctuations synchronization of sample countries more scientifically and objectively.
C-M synchronization index method is used by Cerqueira and Martins [
ρ i j , t = ( 1 − 1 2 ( d j , t − d ¯ j 1 T ⋅ ∑ t = 1 T ( d j , t − d ¯ j ) 2 − d i , t − d ¯ i 1 T ⋅ ∑ t = 1 T ( d i , t − d ¯ i ) 2 ) 2 )
Herein, the related indexes are defined as follows:
ρ i j , t ( − ∞ , 1 ] is synchronization index, the level of economic fluctuation synchronization of country i and country j in the period of t . The greater value is, the more obvious economic fluctuation synchronization among countries is.
d i , t , d j , t respectively signify the growth rates of GDP of country i and country j in the period of t .
d ¯ j , d ¯ i respectively signify the average growth rates of GDP of country i and country j in the period of t .
T is period number in the inspection period (annual number).
The formula is modified by Michael Artis and Toshihiro Okubo (2011), and then the calculation method of extended C-M synchronization index is obtained:
r i j , t = 1 2 log ( 1 1 − ρ i j , t )
The value range of revised synchronization index r i j , t is ( − ∞ , + ∞ ] , then overcoming the problem of asymmetric synchronization index value calculated by the original formula. When r i j , t is positive, it indicates that co-positive correlation, otherwise is co-negative correlation. The greater the value of r i j , t is, the stronger is the economic fluctuation synchronizations of the two countries under consideration. Vice versa, the weaker the synchronizations the lesser is the value of r i j , t .
The economic growth data of France, Holland, Luxembourg, Sweden and the UK is shown in
To further intuitively display the economic fluctuation synchronizations in France, Holland, Luxembourg, Sweden and the United Kingdom, the authors conduct a five-moving average processing of the original data.
the trend comparison of the economic growth rate of five countries after processed by five moving average. The comparison results show that the economic growths of France, Holland, Luxembourg, Sweden and the UK experience are generally similar to three economic cycles, occurring in 1973-1987, 1988-1997, and 1998-2013. According to the normal economic development trends, in 1998-2008, a complete economic cycle will form. But during 2007-2008, there was the global financial crises which originated from US sub-prime mortgage crisis. This 2007-2008 crisis perturbed global economic growth. European countries also suffered from attack: in 2015 the economic growths of these countries have not recovered to the level of 2005. In fact, based on the observation of the economic growth trend in France, Holland, Luxembourg, Sweden and the United Kingdom in 1998-2015, we find that the five countries have experienced two common economic cycles of 1998-2005 and 2006-2015.
The author conducts a Pearson correlation test of the economic growth data after a five-point-moving average. The correlation test results of economic growth rate in 1973-2015 are shown in (
Country/project | Holland | France | Luxembourg | Sweden | Britain | |
---|---|---|---|---|---|---|
Holland | Correlation index | 1.0000 | ||||
Significance | 0.0000 | |||||
France | Correlation index | 0.771** | 1.0000 | |||
Significance | 0.0000 | 1.0000 | ||||
Luxembourg | Correlation index | 0.624** | 0.381** | 1.0000 | ||
Significance | 0.0000 | 0.0060 | 0.0000 | |||
Sweden | Correlation index | 0.381** | 0.339* | 0.396** | 1.0000 | |
Significance | 0.0060 | 0.0140 | 0.0050 | 0.0000 | ||
Britain | Correlation index | 0.551** | 0.480** | 0.671** | 0.734** | 1.0000 |
Significance | 0.0000 | 0.0010 | 0.0000 | 0.0000 | 0.0000 |
**At 0.01 the correlation level is significant.
Country/project | Holland | France | Luxembourg | Sweden | Britain | |
---|---|---|---|---|---|---|
Holland | Correlation index | 1.0000 | ||||
Significance | 0.0000 | |||||
France | Correlation index | 0.823** | 1.0000 | |||
Significance | 0.0000 | 0.0000 | ||||
Luxemburg | Correlation index | 0.3420 | −0.0590 | 1.0000 | ||
Significance | 0.1060 | 0.4180 | 0.0000 | |||
Sweden | Correlation index | 0.3500 | −0.0330 | 0.840** | 1.0000 | |
Significance | 0.1000 | 0.4530 | 0.0000 | 0.0000 | ||
Britain | Correlation index | 0.2960 | −0.0970 | 0.911** | 0.735** | 1.0000 |
Significance | 0.1420 | 0.3660 | 0.0000 | 0.0010 | 0.0000 |
**At 0.01 the correlation level is significant.
Country/project | Holland | France | Luxembourg | Sweden | Britain | |
---|---|---|---|---|---|---|
Holland | Correlation index | 1.0000 | ||||
Significance | 0.0000 | |||||
France | Correlation index | 0.695* | 1.0000 | |||
Significance | 0.0130 | 0.0000 | ||||
Luxembourg | Correlation index | 0.3020 | 0.832** | 1.0000 | ||
Significance | 0.1990 | 0.0010 | 0.0000 | |||
Sweden | Correlation index | 0.811** | 0.4100 | −0.1150 | 1.0000 | |
Significance | 0.0020 | 0.1200 | 0.3760 | 0.0000 | ||
Britain | Correlation index | 0.649* | 0.4940 | 0.0260 | 0.901** | 1.0000 |
Significance | 0.0210 | 0.0730 | 0.4710 | 0.0000 | 0.0000 |
**At 0.01 the correlation level is significant. *Correlation level is significant at 0.05.
this period, the contract based European Union Treaty, promotes the EU members to develop from a common market into an economic alliance, and it remarkably enhances the economic synchronizations between these EU economies. The economic growth correlation analysis of five countries in 1998-2015 is shown in (
By using C-M synchronization index calculation formula, the authors get the annual synchronization index of economic fluctuations between the two among five countries in 1971-2016. The annual synchronization index between each pair of the countries fluctuates greatly, making it difficult to see the change law in 1971-2016. In view of this, the authors conduct a HP filtering processing of the calculated economic synchronization index series, and then
Country/project | Holland | France | Luxembourg | Sweden | Britain | |
---|---|---|---|---|---|---|
Holland | Correlation index | 1.0000 | ||||
Significance | 0.0000 | |||||
France | Correlation index | 0.930** | 1.0000 | |||
Significance | 0.0000 | 0.0000 | ||||
Luxemburg | Correlation index | 0.915** | 0.972** | 1.0000 | ||
Significance | 0.0000 | 0.0000 | 0.0000 | |||
Sweden | Correlation index | 0.809** | 0.919** | 0.913** | 1.0000 | |
Significance | 0.0000 | 0.0000 | 0.0000 | 0.0000 | ||
Britain | Correlation index | 0.707** | 0.874** | 0.875** | 0.945** | 1.0000 |
Significance | 0.0010 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
**At 0.01 the correlation level is significant.
of time; economic synchronization level fluctuation between some countries is large, but overall the trend is on the rise; while the economic fluctuation synchronization level between some countries is in decline. Even so,
To further analyze the economic fluctuations synchronization level between five countries, by conducting an arithmetic average of economic fluctuations synchronization index between two among five countries, the authors obtain the economic fluctuations cooperative overall level of these five countries (
0.37, 0.45, 0.61 and 0.58 respectively. In the entire study period, five European countries economic fluctuation synchronization level is on the rise, that is with the deepening of EU economic integration, the economic fluctuation synchronization level advances overall.
The above researches show that European community is born under the 1965 “Treaty of Brussels”, which greatly enhances the economic synchronization of member countries in European Coal and steel community, European Atomic Energy Community and the European Economic Community. However, the UK and Sweden and other EU countries, have not yet joined the European community, therefore the economic synchronization between them and other original members is not significant. But, as sample countries gradually join, the economic ties between five countries are rapidly strengthened. Especially, the formal establishment of EU, and the unified implementation of Euro as a currency implementation among the EU countries, markedly facilitate economic synchronization within the EU. This is included in our sample of five countries in 1988-1997 and 1998-2007. During the whole inspection period, the decline in economic synchronization level of five countries in 1989-1991 indicates the in-coordination triggered by the enlargement of EU and the weary global economy, but this adverse trend is gradually reversed by the EU internal coordination system, and then develops into the rapid rise of economic synchronization level after 1991. The global financial crisis in 2007, inflicted heavy losses on the European economy, plunging European Union into a debt crisis and many internal conflicts, economic synergy declined.
Based on the above empirical analysis, the authors draw the following basic conclusions:
First, in the study period (1971-2016), economic fluctuation synchronization of France, Holland, Luxembourg, Sweden and Britain is generally obvious. This illustrates that the integration process since the beginning of 1945, directly promotes economic policy, economic structure, industrial structure and the coordination of international cooperation of various countries.
Second, the economic fluctuation synchronization of France, Holland, Luxembourg, Sweden and Britain gradually goes forward with the deepening of European economic integration. Throughout the whole inspection period, correlation and C-M synchronization index analysis show that the economic fluctuation synchronization index of five European countries economic is in an upward trend, which indicates that the EU economic integration constantly promotes the cooperative level of economic fluctuation.
Third, the cooperative level of economic fluctuation between EU countries is not balanced. The correlation and C-M synchronization index shows that there are considerable differences between the correlation coefficient, and economic synchronization index of the two among five countries that means the differences in economic synchronization of various countries are great, namely economic cooperation differences, which reflect that EU countries had developed an economy which became out of phrase. Especially, after the global economic crisis in 2007, the mutual accusations and conflict of EU members, in consumption, banking sector and supervision, fiscal policies, and refugee problems, become increasingly prominent, fostering EU non-harmonious force that gradually affects the economic synchronization and coordination among the countries. A British exit also confirms that the synchronization level of economic fluctuation between EU countries is unbalanced, as empirical analysis shows. Currently, the uncooperative policy and economic reality of the EU member nations is wreaking havoc on the EU as a coherent entity. Whether the EU will gradually disintegrate or remain intact has become an intensive debate topic.
This article is supported by the National Social Science Fund Project (14XJL007) of China.
Li, G.X. and Liu, J.R. (2018) EU Economic Fluctuation Synchronization: Evidence from Five Sample EU Economies. Modern Economy, 9, 699-710. https://doi.org/10.4236/me.2018.94045