linkages and business cycle co-movement...economia internazionale / international economics 2020...
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ECONOMIA INTERNAZIONALE / INTERNATIONAL ECONOMICS 2020 Volume 73, Issue 2 – May, 275-306
Authors: EMILIE KINFACK Department of Economics and Econometrics, University of Johannesburg, South Africa LUMENGO BONGA-BONGA Department of Economics and Econometrics, University of Johannesburg, South Africa
TRADE LINKAGES AND BUSINESS CYCLE CO-MOVEMENT: ANALYSIS OF TRADE BETWEEN AFRICAN ECONOMIES AND
THEIR MAIN TRADING PARTNERS
ABSTRACT This paper seeks to uncover what drives the nature of the link between trade linkages and
business cycle synchronization by empirically assessing this link between African economies
and their main trading partners, namely China, Europe and the United States (US). Contrary to
past papers, this paper determines endogenously the magnitude of trade linkage by assessing
how trade shocks are transmitted between Africa and its main trading partners in the periods
before and after the 1990s. Moreover, the paper assesses the extent of business cycle
synchronization between Africa and these trading partners during the same periods. The global
vector autoregressive (GVAR) model and the Instantaneous Quasi Correlation (IQC) method are
used to this end. The results of the empirical analysis show that not only the nature of trade but
also the mode of trade financing or trade settlement should matter in determining the
relationship between trade linkages and business cycle synchronisation.
Keywords: Trade Linkages, GVAR Model, Business Cycle Synchronization, Africa JEL Classification: C32, C51, F44
RIASSUNTO
Legami commerciali e comovimenti del ciclo commerciale: analisi dei rapporti commerciali
tra le economie dell’Africa e ed i loro principali partner
Questo articolo ha lo scopo di far emergere che cosa guida la sincronizzazione del rapporto tra
commercio e ciclo economico tramite la valutazione dei rapporti commerciali delle economie
africane con i loro principali partner: Cina, Europa e Stati Uniti. Al contrario degli studi già
esistenti in materia, questo paper determina la dimensione del rapporto commerciale in
maniera endogena studiando in che modo gli shock commerciali si trasmettono dall’Africa ai
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suoi partner a partire dagli anni ’90. Inoltre, l’articolo valuta il livello della sincronizzazione del
ciclo economico tra Africa e i suddetti partner durante lo stesso periodo con l’utilizzo del
modello GVAR (Global Vector Autoregressive) e del metodo IQC (Instantaneous Quasi
Correlation). I risultati dell’analisi empirica dimostrano che non soltanto la natura ma anche la
modalità di finanziamento o di implementazione del commercio dovrebbe essere presa in
considerazione per determinare le relazioni di sincronizzazione tra commercio e ciclo
economico.
1. INTRODUCTION The rise of globalization has led a growing body of literature to investigate the impact of trade
linkages on business cycle co-movement between countries and regions (see Jean Louis and
Simons, 2014; Kandil, 2011). While some of these studies acknowledge that trade linkages are
important aspects of shock transmission (Frankel and Rose, 1998; Çakir and Kabundi, 2013),
there is no universal view on whether strong trade linkages lead to more or less business cycle
synchronization. For a number of studies, the relationship between trade linkages and business
cycle synchronization depends on the type of trade (intra-industry trade or inter-industry trade)
and the nature of shocks (demand or supply shock). For example, Calderón et al. (2007), Kose
and Yi (2001) and Frankel and Rose (1997) show that when intra-industry trade dominates
bilateral exchange between two countries, any industry shock contributes to the rise in the level
of business cycle correlation among these countries. However, Krugman (1991), Kenen (1969),
Baxter and Kouparitsas (2005) point out that strong trade linkages actually reduce the
synchronization of business cycles between two countries whatever the type of industry-specific
shocks affecting these countries. García-Herrero and Ruiz (2008) show that theoretical models
do not provide a clear prediction as to how trade linkages affect business cycle synchronisation
and therefore this should be a matter of empirical analysis.
Most studies that assess the relationship between the extent of trade linkage and business cycle
synchronisation have focused mostly on developed countries. For example, Asteriou and
Moudatshou (2015) investigate the determinants of business cycle synchronisation across 21
countries of the European Union. The authors find that FDI has no direct effect on business
cycle synchronisation while international trade or trade linkage contributes to the
synchronisation of business cycle across these countries but only before the 2007-2008 financial
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crisis. Antonakakis and Tondl (2014) estimate the effects of market integration and economic
policy coordination on business cycle synchronisation in the EU. The authors find that trade and
FDI have increasing positive effects on business cycle synchronisation in the EU. Moreover, the
authors find strong evidence that poor fiscal discipline of EU members is a major impediment of
business cycle synchronisation. Very few studies have been conducted to assess the extent of
trade linkages and business cycle synchronisation in African countries. For example, Eggoh and
Belhadj (2015) show that while trade intensity may help to harmonise business cycle in the
Maghreb countries, the extent of the harmonisation is lower than that of industrial countries.
Hence, the authors suggest that the acceleration of trade linkage is a prerequisite for the creation
of a monetary union among Maghreb countries. Tapsoba (2009) assesses the link between trade
intensity and business cycle synchronicity among 53 African countries from 1965 to 2004. The
author finds that trade intensity increases the synchronisation of business cycle in the African
continent. Ademola et al. (2009) analyse the impact of China-Africa trade relations both at the
aggregate African and at the national level of a selected sample of countries. The authors find
that natural resources exporters across Africa are the important beneficial of this trade
relationship. Drummond and Liu (2013) evaluates the impact of changes in China’s investment
growth on SSA’s exports. Using panel data analysis, the authors show that a one-percentage
point increase (decline) in China’s domestic investment growth is associated with an average 0.6
percentage point increase (decline) in SSA countries’ export growth. The impact is higher for
resource-rich countries, especially oil exporters. Samake and Yongzheng (2014) assess the
effects of shocks to BRICS key variables on Low-income Countries (LIC) in Africa, Asia, Middle
East, Latin America and Caribbean. The authors find a direct spillover from BRICS to LICs with
bilateral trade as the main channel of shocks transmission. Diallo and Tapsoba (2016) analyse
the degree of synchronisation of Sub-Saharan Africa (SSA)’s business cycles with those of BRICs
and G7 economies. The authors find that business cycles in SSA has co-moved with BRICs’ in
recent year. The co-movement is driven by growing trade linkages between the two blocs.
However, there is no study that has ever been conducted to assess the link between trade
linkages and business cycle synchronisation between African countries and their main trading
partners, namely China, the US (United States) and the EU (European Union). Conducting such
a study will help to assess whether there is a single outcome on the link between the intensity of
trade linkage and business cycle synchronisation for countries dominated by inter-industry
trades. It is worth noting that trade linkage between Africa and the three main trading partners
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is dominated by inter-industry trade, where African countries export mainly raw materials and
import variety of final products from the three partners. Moreover, assessing whether there is
more or less output synchronization between Africa and its main trading partners is important
for African economies. Firstly, more synchronized business cycles would presumably mean a
stronger and faster transmission of shocks across countries, which could provide an important
motivation for international policy coordination. Secondly, if business cycles in a country are
mostly driven by external factors, domestic policy aimed at economic stabilization will probably
have a smaller impact (see García-Herrero and Ruiz, 2008). Thus, it is important that
policymakers in Africa be aware of these realities when formulating economic policies.
The objective and contribution of this paper are threefold; firstly, to the best of our knowledge
this is the first paper that assesses the link between trade linkage and business cycle
synchronisation between Africa and its three main trading partners. Secondly, contrary to past
papers that have used different measures as proxy for the intensity of trade linkage, this paper
determines endogenously the extent of trade intensity by assessing how trade shocks transmit
between Africa and its main trading partners over the periods before and after the 1990s. The
Global VAR (GVAR) model is used to this end. Thirdly, the link between trade linkage and
business cycle synchronisation between Africa and the three main trading partners is
established by comparing periods before and after the emergence of China in the global
economy. Such a comparison helps to uncover factors that drive the link between trade linkage
and business cycle.
Our approach in investigating the issue of trade linkages between Africa and its main trading
partners is different from previous studies in that we make use of GVAR methodology to group
33 African countries in a region, referred to as Africa. In addition, the paper makes use of data
from eight European countries grouped as Euro area as well as data from 20 other countries in
the world, in addition to data from the U.S. and China. It is worth noting that a number of study
that assessed the link between trade linkage and business cycle rely on regression frameworks
and often ignored the dynamic nature of such a relationship. Moreover, the study assesses the
nature of business cycle synchronization between Africa and the three trading partners during
the corresponding sample period. Thus, the quasi correlation technique is used to assess the
extent of business cycle synchronization. In doing so, the study endeavours to assess whether
periods of strong trade linkages between Africa and its trading partners correspond to their
Trade linkages and business cycle co-movement: analysis of trade between African economies and their main trading partners 279
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business cycle synchronization.
The empirical analysis is conducted in two different sample periods: the period 1980-1996 and
the period 1997-2012. The year 1996, as a cutting point of our empirical analysis, corresponds to
the economic and financial liberalization of a number of African economies and the rising
prosperity and global influence of the Chinese economy in the 1990s (Bonga-Bonga, 2012;
Compendium, 2005). In addition, the cutting point also coincides with the creation of the World
Trade organisation (WTO)1 in 1995. The establishment of WTO has permitted more trade
linkages among its members, mainly dominated by developing economies (Rena, 2012).
The rest of the paper is organised as follows. Section 2 outlines the relationship of trade between
Africa and its main partners. In this section, the study intends to show the significance of trade
between Africa and its main partners. Section 3 describes the methodology used as well as the
data sources and sample period. Section 4 presents the results and their interpretation, and the
last section concludes the study and provides some recommendations.
2. AFRICA’S RELATIONSHIP WITH ITS MAIN TRADING PARTNERS It is important to note that the relationships between Africa and Europe and Africa and the
United States can be traced back to the era of colonization. Most African countries have had
trade ties with European countries due to their colonial history and with the United States
because it was, and still is, the largest economy in the world. However, the recent global changes
in the world’s geopolitics, as shown by the resurgence of Asian economies, especially China, and
the creation of BRICS2, have dramatically altered both international relationships and world
trade. China’s quest for a closer relationship with the rest of the world has led the former to have
an influential position in the world economy, which needs to be seriously considered by the
former major players namely European Union and United States. This is especially evident in
the case of Africa, where the emergence of China has significantly altered Africa’s direction of
trade, which had been dominated by Europe and the United States (Obuah, 2012).
African countries, as an economic bloc, occupy a very low position in the global market. The
continent’s share of world trade is insignificant. According to the African Union Commission
1 Replacing the General Agreement on Tariffs and Trade (GATT). 2 Brazil, Russia, India, China and South Africa.
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(2013), the Africa’s total imports account for only 1.8% of world imports, while its total exports
represent 3.6 % of world exports. Nonetheless, the three major African trading partners
continue to influence the economy of the continent to a varying extent. Figures 1 and 2 present
the trade share and total trade between Africa and each of the three trading partners,
respectively. By definition, the total trade is simply the sum of the values of export and import.
Figure 1 shows that, of the total trade between Africa and the three main partners, the trade
share between Africa and the Euro area decreased from 93% in 1970 to 33% in 2013. However,
the trade share between Africa and China increased from 1% in 1970 to 46% in 2013 making
China Africa’s number one trade partner since 2009 (Global Times, 2013). Figure 2 shows the
trend of total trade between Africa and the three main trading partners from 1970 to 2013. The
increasing trend in trade between the Euro area and Africa in the 1970s experienced a
remarkable decline in the early 1980s, due mainly to the negative effects of the 1980 global crisis.
Nevertheless, Figure 2 shows an increasing trend of trade in early 2000s between Africa and
each of the three main partners. This occurrence can be dubbed as a race for Africa’s trade share
from the three main partners as it is during this period that a number of trade agreements were
signed between Africa and each of the three partners. For example, the commitment made by
United States in 2000 in order to support the development of trade in Africa through the African
Growth and opportunity Act (AGOA) has resulted in an increase in African exports to the US.
The AGOA act provides duty-free market access to US for some qualifying African countries.
Since its approval in May 2000, total African exports to the US have more than quadrupled3 as
shown in Figure 2.
Through the forum on China-Africa cooperation (FOCAC) established in October 2000, China
signed bilateral trade and investment treaties and created joint economic commission
mechanisms to support African countries.
3 African Union (2013).
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FIGURE 1 - Trade Share between Africa and its Main Trading Partners from 1970 to 2013
Source: Direction of Trade statistic’s international financial statistic (online databases various years).
FIGURE 2 - Total Trade between Africa and its Main Trading Partners from 1970-2013
(billion US dollar)
Source: Direction of Trade statistic’s international financial statistic (online databases various years). It is important to note that China’s trade with Africa was insignificant between 1970 and early
1990s, due to the limited relationship between the African continent and China. However, the
emergence of China a significant force in the global economy has changed the direction of trade
0
20
40
60
80
100
1970 1975 1980 1985 1990 1995 2000 2005 2010
CHINA-AfricaEURO-AfricaUS-Africa
0
50
100
150
200
250
300
1970 1975 1980 1985 1990 1995 2000 2005 2010
CHINA-AfricaEURO-AfricaUS-Africa
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in a number of countries, including African economies. Many countries in Africa have shifted
their direction of trade from the US and EU towards China (Obuah, 2012). As illustrated in
Figure 1, China’s trade share with Africa started to rise from 1997 onwards to become the largest
Africa’s trade partner in 2009. Figure 2 indicates that the global financial crisis of 2007 did not
affect China’s trade share with Africa largely as it did with the US and the Euro area. China
dominates the market as Africa’s biggest destination of oil and mineral exports (Lin and Farrell,
2013). However, trade between Africa and China is not without controversy. For example, Moyo
(2012) questioned the nature of the China-Africa trade relationship. The author points out that
Chinese firms are desperately in search of natural resources, which might have some negative
repercussions for the world in general and Africa in particular in the near future. Nonetheless,
trade linkages between China and Africa have helped African countries to establish an
upstream-downstream-integrated industry chain transforming resource advantages into
economic growth opportunities. For example, in the Democratic Republic of Congo and other
energy- and mineral resources-endowed African economies, Chinese enterprises have built up
infrastructure in response to the extraction and exploitation of mineral resources (Global
Times, 2013). A number of studies show that trade deal between Africa and China contributed to
the rise of infrastructure development and sustained economic growth in a number of African
countries. This is not necessarily the case for trade between Africa and the US and Europe
(Acemoglu et al., 2001, 2002; and Boopen, 2006).
TABLE 1 - African Exports to Selected Countries in the World (million USD)
2013 2014 2015 2016
China 75980.99 65703.89 40351.07 41130.99
United States 36307.57 25707.05 20231.13 22530.98
France 36008.23 32722.49 24041.74 21718.54
Spain 31731.03 34563.40 27223.20 20238.45
Italy 45179.46 33455.59 20319.61 19289.01
Singapore 3985.06 5331.89 4111.09 16004.51
India 32225.77 33989.13 24955.37 22752.89
Brazil 15341.51 15340.19 7048.48 4019.81 Source: African Union (2018).
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Table 1 displays the value of exports between African countries, members of African Union (AU)
and selected extra-African Union countries. It is clear from the table that China, United States
and members of EU remain the important trade partners of African economies, with China as
their most influential trade partner.
3. METHODOLOGY AND DATA
3.1 Methodology The key contribution of the GVAR model, as proposed by Pesaran et al. (2004), and further
developed by Dees et al. (2007), is its capacity to model domestic variables together with global
observed and unobserved factors represented by foreign variables. In doing so, the GVAR model
is suitable for examining international shocks and their spillover effect among countries (Dees et
al., 2007; Bussière et al., 2012; Galesi and Lombardi, 2009; Vasishtha and Maier, 2013). The
GVAR modelling strategy consists of two main steps; firstly, a VARX model is estimated for each
country, whereby a VAR model is augmented with weakly exogenous variables, mainly foreign
variables. The VARX model is expressed as:
ddxxxtaax itt,itit,iiitit,iiiiit εΓΓΛΛφ +++++++= −∗
−∗
− 110110110 (1)
Where itx is a ( )1×ik vector of domestic variables for each country 𝑖 at time 𝑡. *
itx is a ( )1×*ik
vector of foreign variable. ioa is a ( )1×ik vector of fixed intercept coefficient. 1ia is a ( )1×ik
vector of coefficients of the deterministic time trend, iφ is a ( )ii kk × matrix of coefficient
associated with lagged domestic variables. 0iΛ and 1iΛ are ( )*ii kk × matrices of coefficients
related to foreign and lagged foreign variables respectively. dt is a set of common global
variables assumed to be weakly exogenous to the global economy, but should be endogenous to
only one country, the reference country. As the United States is taken as the reference country in
this paper, thus, td is endogenous for this specific country. i0Γ and 1iΓ are matrices of fixed
coefficients. The error term itε is a ( )1×ik vector of shocks specific to each country, which is
assumed serially uncorrelated with average equal zero, and with a non-singular covariance
matrix that is ( )→ iiit 0, .d.i.iε . The VARX model represented in Equation 1 can be re-written
in the error correction form to allow for cointegration relationship within and across countries
included in the GVAR system.
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Secondly, country-specific VARX models are stacked to form the global model. In the global
model, country-specific foreign variables are calculated as weighted averages of the
corresponding variables in other countries such as:
𝑥∗ = ∑ 𝑊 𝑥 (2) Where Wi is the weighting matrix used to construct foreign variables from the cross-country
domestic variables. To construct the global VAR model from the individual country-specific
models, we assume a matrix Z that combines domestic and foreign variables for each country
within a single vector, such as:
( )∗= ititit x,xZ
Therefore, Equation 1 can be rewritten as:
𝐴 𝑍 = 𝑎 + 𝑎 𝑡 + 𝐵 𝑍 , + ∑ Γ 𝑑 + 𝜀 (3)
Given Equation 2, Equation 3 can be expressed as
𝐴 𝑊 𝑥 = 𝑎 + 𝑎 𝑡 + 𝐵 𝑊 𝑥 , + ∑ Γ 𝑑 + 𝜀 (4)
Or
𝐺 𝑥 = 𝑎 + 𝑎 𝑡 + 𝐺 𝑥 , + ∑ Γ 𝑑 + 𝜀 (5)
Where 𝐺 = ... and 𝐺 = ...
It is important to note that G0 should be singular to allow the solving of the model represented in
Equation 5 from which the interdependence and dynamics of variables can be assessed with the
aid of the impulse response functions (IRF). This study makes use of the generalised impulse
response function (GIRF) as suggested by Pesaran and Shin (1998).
From information at time t-1 , the GIRF is obtained by using:
𝐺𝐼𝑅𝐹 𝑥 , 𝑡 + ℎ, 𝛿 , 𝐼 = 𝐸(𝑥 / 𝜇 , , = 𝛿 , 𝐼 ) − 𝐸(𝑥 /𝐼 ) (6)
Where It-1 represents the information available at time t-1, h is the forecast horizon, 𝑥 represents
the variables included in our GVAR model and 𝛿 denotes the shock to the 𝑗 variable.
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Moreover, the solution of Equation 5 can help to examine the contribution of a variable in
explaining the shocks to other variables through the forecast error variance decomposition
(FEVD) analysis.
3.2 Data and Modelling The global VAR applied in this paper contains 63 countries, 33 of which are African countries
while the remaining 30 are from other regions in the world. Table 1A in the appendix displays the
list of countries included in the sample. The sample period is divided into two sub-periods: the
first sub-period 1980Q1-1996Q4, which coincides with an increasing international trade
relationship between Africa and of the US and Europe. The period also reveals a time of financial
repression for most African economies. On the other hand, the second sub-period 1997Q1-
2015Q44, illustrates the financial liberalization of many African countries (Bonga-Bonga, 2012)
and the emergence of China as dominant force in the global economy. Given the main objective
of the paper to assess the link between trade linkage and business cycle synchronisation between
Africa and its three main trading partners, the variables included in the estimation are the
following: real GDP, real export, real import, inflation rate and the oil price (see Table 2A for the
names and codes of these variables). With these variables, this paper determines endogenously the
extent of trade intensity by assessing how trade shocks transmit between Africa and its main
trading partners over the periods before and after the 1990s.
The first stage in the construction of the model is to define the domestic and foreign variables.
For country .N3......... 2,,i 1= , the following country-specific domestic itx and foreign variables
∗itx are considered:
𝑥 = (𝑦 , 𝑒𝑥 , 𝑚 , 𝐷𝑃 , 𝑒𝑝 ) and 𝑥∗ = (𝑦∗ , 𝐷𝑝∗ , 𝑝𝑜𝑖𝑙 )
Where y is the real Gross Domestic Product, Dp is the inflation rate, ep is the real exchange rate, 𝑒𝑥 is the real export, m represents total imports and poil is the oil price. The oil price is treated as
an exogenous variable for all the countries included in the sample except for the US since it is
considered as the reference country in our GVAR model.
4 While the end period may be due to data availability, nonetheless, it provides sufficient data sample to observe period post 1996.
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In our GVAR model, the country-specific foreign variables are built using fixed trade weights.
The country-specific foreign variables are defined as follows:
==
N
jitij
*it ywy
0; =
=N
jitij
*it DpwDp
0 and =
=N
jitij
*it epwep
0.
Where the weight ijw is computed as the share of country j in the total trade of country i .
Although Dees et al. (2007) used the time-varying trade weights in their study, however, the
authors concluded that these have a small impact on the results of the GVAR models. It is
important to note that the number of missing data in the trade flows of some African hampered
the use of time-varying trade weights for this paper. The trade shares for the Africa economies
with its main partners and the rest of the world are presented in Table 3A.
Given its aim, the paper aggregates countries as follows: firstly, eight Europeans countries are
put in a single regional model and secondly all African countries are specified in a single regional
VARX*. Thus, the regional variable such as 𝑦 , 𝑒𝑥 , 𝑚 , 𝑒𝑝 , 𝐷𝑝 and 𝑝𝑜𝑖𝑙 are built from the
country-specific variables using the following weighted averages:
ipt
N
pipit ywy
i
=
=1
0
Where ipty indicates output of country p in region i and 0ipw are the Purchasing Power Parity-
GDP weights (PPP-GDP). Since the study estimates the region in two periods, 1980Q1-1996Q4
and 1997Q1-2015Q4, the regional weight is constructed for each of these periods. The weights
are constructed by averaging the PPP-GDP for each country over a period of three years,
depending on the sample period covered by the study. For example, in the first sub-period, 1980-
1996, the PPP-GDP weight is for the period 1990-1992, while for the second sub-sample the PPP-
GDP used is computed for the period 2006-2008. It is important to note the weights (PPP-GDP)
used to group countries into one region is different from the weight (trade weight) used to
generate foreign-specific variables.
Before proceeding with the estimations, different tests are performed. The unit root test is
conducted to ascertain the level of integration of variables. The study conducts the unit root test
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using both the Augmented Dickey-Fuller (AD) and the Weighted Symmetric Augmented Dickey-
Fuller (WS-ADF) test. The latter uses the time reversibility of stationary autoregressiveness.
The lag order for both tests (ADF and WS-ADF) is determined by the minimization of the Akaike
Information Criterion (AIC), for which the maximum lag allowed is set to 4. The study reports
results from the WS-ADF test (see Table 4A)5. The results from the unit root test show that most
of the variables are stationary in difference.
Having verified the stationarity of the variables, the next step is to determine whether there is
cointegration between variables. The study then uses the Johansen (1992, 1995) reduced-rank
procedure. The cointegration rank is derived by employing the trace test statistic at the 95%
critical values and the maximum eigenvalue statistics. Table 5A presents the number of
cointegrating ranks obtained for each of our focus economy VARX* model as well as the lag
orders for each of their domestic and foreign variables. The study also conducts the weak
exogeneity test for foreign and global variables. This test is the key assumption of the GVAR
approach. The weak exogeneity assumption in the context of co-integrating models implies no
long-term feedback from itx to ∗itx , without necessarily ruling out lagged short-run feedback
between the two sets of variables. With reference to Dees et al. (2007), we employ the weak
exogeneity tests proposed by Johansen (1992) and Harbo et al. (1998). The results of F-statistics
for testing the weak exogeneity of Africa and its main partner’s country-specific foreign
variables and the oil price are reported in Table 6A. The results show that most of the weak
exogeneity assumptions are accepted.
It is important to note that the variables used in this paper are collected from the International
Financial Statistics (IMF) database, the Direction of Trade Statistics (DoT) of the IMF and the
World Bank database. We also use interpolation in some cases, with the cubic spline method, in
order to convert real GDP annual data into quarterly data. This was done to construct data for
some African countries, where real GDP quarterly data is not available.
4. RESULTS AND INTERPRETATION This section presents the empirical results of the degree of trade linkage and the effects of shock
transmissions between Africa and its main trading partners based on the generalized impulse
5 Other unit roots results can be obtained on request.
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response functions (GIRFs). The GIRFs are used to assess the effect of the different shocks on
variables of interest over a time horizon of 40 quarters. Nonetheless, the paper focuses on the
results over eight quarters, which is a reasonable period for making inferences about short-term
macro-economic dynamics (Dees et al., 2007). The results of the GIRFs reported in Figures 3 to
8 include the confidence intervals at the 95 % significance level, calculated using the bootstrap
technique with 1000 replications. Moreover, this section presents the empirical findings of the
business cycle co-movement between Africa and its trading partners.
4.1 Generalized Impulse Response Function of Shocks in the Context of Trade Linkages
In order to consider the extent of trade linkage between Africa and its three main trading
partners, we consider two positive shocks, namely shocks to exports and imports from the three
main trading partners, and their dynamic effects on African imports and exports. It is important
to note that when two countries are linked through trade, an increase in exports or imports in
one country is translated into an increase in imports or exports in the other country. Figures 3, 4
and 5 present the dynamic responses of exports and imports of Africa to shocks to trade
variables from the Euro area, the US and China, respectively during the sub-sample periods
1980-1996 and 1997-2015.
Figure 3 displays positive real export and import shocks from the Euro area. It shows that the
export shock from the Euro area has a positive impact on African imports during the sub-sample
period 1980-1996. The effect is statistically significant from the second to the fourth quarter.
Nonetheless, the positive response of African’s import to shocks from Euro area is short lasting
and statistically insignificant for most of the time horizon. Likewise, positive import shocks
from the Euro area translate into a rise in Africa’s real exports, with the effect being statistically
significant on impact and for more than 15 quarters during the sub-sample period 1980-1996.
Trade link
ECONOMIA
F
Africa im
Africa’s
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sample
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African economie
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pill over to A
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GDP in Chin
rican real GD
positive shoc
that 1% chan
t Increase in
Africa’s real
es and their main
20 Volume 73, I
US real GDP
frica’s GDP t
96 or in 1997
African econ
e in US Real
GDP (1997-
na. The resu
DP during th
ck from Chi
nge in China
n China’s Re
GDP (1997–
n trading partner
Issue 2 – May, 2
P, during 19
to shocks to
7-2015. This
nomies.
l Output
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ults show tha
he sub-peri
ina’s real GD
a’s GDP is tr
eal Output
–2015)
rs 293
275-306
980-1996
US GDP
s finding
at shocks
od 1980-
DP has a
ranslated
294 E. Kinfack – L. Bonga-Bonga
www.iei1946.it © 2020. Camera di Commercio di Genova
4.3 Business Cycle Synchronization between Africa and its Main Trading Partners
As stated earlier, section 5.2 provided a basis from which business cycle synchronization
between Africa and the three main trading partners could be assessed. For example, the finding
that positive shocks to China’s GDP has a positive effect on African countries’ GDPs during the
sub-period 1997-2015 might indicate the possibility of business synchronization between China
and Africa during this period. However, such an extrapolation needs to be validated by an
appropriate method for business cycle synchronization.
There are number of different methods for measuring synchronization of business cycle
between individual and groups of countries. To measure the degree of business cycle
synchronization between Africa and each of its three main trading partners, this paper makes
use of the Instantaneous Quasi Correlation (IQC) method employed by Duval et al. (2014).
According to Duval et al. (2014) the quasi correlation is defined as follows:
gj
gi
*jjt
*iit
ijt)gg()gg(
QCORRσσ ×
−×−=
Where ijtQCORR is the quasi-correlation of real GDP growth rates of country i and j in year t.
itg denotes the output growth rate of country i in year t. *ig and g
iσ represent the mean and
standard deviation of output growth rate of country i respectively, during the sample period.
Duval et al. (2014) show that this measure is a better proxy of business cycle synchronization
than the others for the following reasons. Firstly, it provides a dynamic correlation measure, as it
enables the calculation of co-movement at every point in time rather than over an interval of
time. Secondly, the quasi correlation is not bounded between -1 and 1. A number of authors show
that when the business cycle synchronization measure lies between -1 and 1, the error terms in
the regression explaining it are unlikely to be normally distributed (Otto et al., 2001 and Inklaar
et al., 2008).
The bilateral business cycle synchronization between Africa and each of its main partners is
presented in Figure 9 below. Figure 9 shows a lack of steady business synchronization between
Africa and its three main trading partners during the sub-period 1980-1996. The correlation
between Africa’s GDP and the GDP of its three main trading partners swerves between positive
and negative values, thus signalling the lack of persistent business cycle synchronization.
Trade linkages and business cycle co-movement: analysis of trade between African economies and their main trading partners 295
ECONOMIA INTERNAZIONALE / INTERNATIONAL ECONOMICS 2020 Volume 73, Issue 2 – May, 275-306
Afric-US Afric-china Afric-euro Afric-US Afric-china Afric-euro
Nonetheless, in the sub-period 1997-2015, there is regular business cycle synchronization
between Africa and China, especially from the year 2000 onward. High business
synchronizations between Africa and the US and Africa and the Euro area occur during periods
of economic and financial crises, during which the US and Euro experience the decline of their
economic activities. For example, Figure 9 shows that in the early 1980s the global financial
crisis that led to a severe recession in the US also affected African economies. It is also clear from
Figure 9 that the high correlations or business synchronizations between Africa and the US and
Africa and the Euro area is mostly attributed to the effects of contagion, such as the spillover
effects of the 2007 global financial crisis, which originated from the US. This indicates that
business cycles between Africa and the US and Africa and the Euro area mostly synchronize due
to the direct effect of contagion. However, Figure 9 shows an abrupt decrease in business
synchronisations between Africa and the Euro area and Africa and the US from 2008, indicating
the remarkable resilience of African countries from the global financial crisis. This reality
supports the finding of many studies showing that a number of emerging market economies have
‘decoupled’ from developed economies during the recent financial crisis, with the correlation
among emerging markets and developed economies being larger in bullish than in bearish
markets (see Levy-Yeyati and Williams, 2012).
FIGURE 9 - GDP Synchronization between Africa and its Main Trading Partners
(1980-1996) (1997-2015)
296 E. Kinfack – L. Bonga-Bonga
www.iei1946.it © 2020. Camera di Commercio di Genova
To test the robustness of our results in relation to the extent of business cycle synchronisation
between Africa and its three main trading partners, we make use of the rolling window
correlation, with 4 quarters windows, to assess the dynamic correlation between Africa’s GDP
and the GDP of each of its trading partners. The results reported in Figure 10 confirm those in
Figure 9 with a steady synchronisation of business cycle between Africa and China during the
sub-period 1997-2015.
The findings of this paper raise a question on whether trade linkage necessarily links to business
cycle synchronization. While periods of high trade linkage between Africa and China coincide
with their business cycle synchronization, this is not true for the case of Africa–US and Africa–
Euro. This finding shows, that contrary to past studies (Calderón et al., 2007, Kose and Yi, 2001
and Frankel and Rose, 1997), the link between trade linkages and business cycle is not
necessarily related to the type of trade (inter- or intra-industry trade). The results of this paper
also show that there are different outcomes regarding the relationship between trade linkages
and business cycle even for countries involved in inter-industry type of trade relationship.
Hence, this paper hypothesises that the mode of trade financing or trade settlement might be the
important factor that relates business cycle to trade linkages. This hypothesis is substantiated by
the fact that the growth in trade between Africa and China has been triggered by the use of
resource-for-infrastructure swap agreement, also known as Angola-mode deals (see
Habiyaremye, 2016). With this agreement, Chinese companies finance and build infrastructure
in African countries in exchange for access to natural resources. Infrastructure deficiency has
been the bottleneck for economic growth in many African countries. Thus, the resource-for-
infrastructure swap agreement does not only provide an opportunity to intensify trade linkages
between Africa and China, but has also provided an opportunity for economic growth in a
number of African countries through infrastructure development. With the resource-for-
infrastructure swap agreement a number of African countries have acquired modern
infrastructure such as roads, power generation and electricity coverage, which contribute to
enhance their productivity.
Trade link
ECONOMIA
FIGURE
kages and busine
A INTERNAZION
10 - Rolling
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1980
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1980
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1981
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orrelation be
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1993
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African economie
202
ca’ GDP and
1999
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ea
es and their main
20 Volume 73, I
the GDP of i
2007
q120
08q3
2010
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n trading partner
Issue 2 – May, 2
its Trading P
2013
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rs 297
275-306
Partners
298 E. Kinfack – L. Bonga-Bonga
www.iei1946.it © 2020. Camera di Commercio di Genova
5. CONCLUSION This paper endeavoured to investigate the extent of trade linkages and business cycle
synchronization between Africa and its three main trading partners, namely China, the Euro
area and the US, during two different periods, namely 1980 to 1996 and 1997 to 2015. The paper
makes use of GVAR methodology to assess the extent of shocks transmission between Africa and
each of the three main trading partners. Particularly, the paper assesses how import and export
shocks from each of the three main trading partners affect the dynamics of exports and imports
in Africa. The results of the GVAR methodology makes plausible inferences as to the extent of
trade linkages between Africa and its three trading partners during the two periods. Moreover,
the paper makes use of the Instantaneous Quasi Correlation method to measure the degree of
business cycle synchronization between Africa and each of the three trading partners during the
same periods. The results based on the generalized impulse response functions indicate an
increasing trade linkage between Africa and the Euro area in the periods 1980-1996 and 1997-
2015 where it is shown that trade linkages between Africa and China become more significant
during the period 1997-2015 than during the period 1980-1996.
The results based on Instantaneous Quasi Correlation and dynamic correlation show the
synchronization of business cycles between Africa and China during the period 1997-2015.
However, the results show that there is no consistent business cycle synchronization between
Africa and the US and Africa and the Euro area in the two periods and that the observed
infrequent business cycle co-movements between Africa and the US and Africa and the Euro
area can mostly be attributed to the direct effect of contagion.
This paper contributes to the literature of trade linkages and business cycle synchronization by
showing that not only the nature of trade but also the mode of trade financing or trade
settlement matters in determining the relationship between trade linkages and business cycle
synchronisation. Policymakers in Africa need to establish proper mechanisms that could
improve the way their exports are financed, which could result to wealth creation. Moreover,
proper policy coordination are needed by African countries to mitigate possible contagion that
could result from negative shocks to their main trading partners.
For further studies, we suggest that the effects of trade shocks to African main trading partners
be considered on regional trading blocs in Africa.
Trade linkages and business cycle co-movement: analysis of trade between African economies and their main trading partners 299
ECONOMIA INTERNAZIONALE / INTERNATIONAL ECONOMICS 2020 Volume 73, Issue 2 – May, 275-306
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APPENDIX
TABLE 1A - List of Countries Included in the Sample
Region : Africa Region : Euro area Other countries
Algeria Gabon Niger Austria Australia United Kingdom
Benin Gambia Nigeria Germany Brazil Peru Burkina Faso Ghana Senegal France Canada Philippines
Burundi Guinea-Bissau Seychelles Belgium Chile Singapore Cameroon Kenya Sierra Leone Finland China USA Cape Verde Madagascar South Africa Italy Cyprus Japan Chad Malawi Tanzania Netherlands Denmark Malaysia Congo DRC Mali Togo Spain Greece Mexico Congo Mauritius Tunisia Iceland Switzerland Cote d'Ivoire Morocco Uganda India Thailand
Egypt Mozambique Zambia New Zealand Norway
TABLE 2A - Variables Used, Code and Data Sources
Variables Short Name Formula Source
Real GDP y cpigdpln=γ World Bank
and IMF
Inflation Dp
−=
−
−
1
1
t
ttCPI
CPICPIDp IMF
Real export of goods and services x
=
tCPIxx ln WDI
Real import of goods and services m
=
tCPImm ln WDI
Real exchange rate ep
=
d
*t
pp
eep ln IMF
Oil price poil ( )oilpricepoil ln= OECD
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TABLE 3A - Trade Weight
Period (1980Q1-1996Q4)
Country Africa China Euro US Africa 0.0000 0.012793 0.091852 0.029326 China 0.016944 0.00000 0.029275 0.038108 Euro 0.559896 0.207162 0.0000 0.181649 US 0.172002 0.228654 0.202271 0.000 Rest
Period (1997Q1-2012Q4)
Country Africa China Euro US Africa 0.0000 0.021469 0.092427 0.038761 China 0.087623 0.0000 0.130436 0.159716 Euro 0.429643 0.21549 0.0000 0.161093 US 0.199994 0.256891 0.179148 0.0000 Rest 0.28274 0.50615 0.597989 0.64043 Note: Trade weights are displayed in column by country. Rest: accumulates the remaining countries. Source: Direction of Trade Statistics IMF, 1990-1992 for period (1980Q1-1996Q4) and 2006-2008, for the period (1997Q1-2012Q4).
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ECONOMIA INTERNAZIONALE / INTERNATIONAL ECONOMICS 2020 Volume 73, Issue 2 – May, 275-306
TABLE 4A - WS-ADF Unit Root Test Statistics for Domestic and Global Variables
Period (1980Q1-1996Q4)
Domestic variables
Variables Code Africa China Euro-area US Real GDP y -3.21 -3.50 -2.133 -2.92
∆y -2.92 -1.77 -2.038 -4.21 inflation Dp -4.78 -3.98 -0.776 -0.75
∆Dp -6.95 -5.06 -2.864 -10.66 Real exchange rate ep -2.05 -1.49 -1.73
∆ep -2.35 -3.14 -3.57 Real import m -3.67 -3.96 -2.25 -3.00
∆m -2.73 -3.26 -2.81 -3.34 Real export x -2.12 -3.63 -1.71 -2.57
∆x -6.51 -3.14 -2.62 -2.45 Foreign variables
Real GDP ys -2.59 -2.78 -3.38 -3.10 ∆ys -2.24 -2.40 -2.13 -2.65 inflation Dps -3.32 -4.79 -4.79 -4.79 ∆Dps -7.77 -6.95 -6.95 -6.95 Real exchange rate eps -1.33 -2.49 -2.46 -3.35 ∆eps -4.84 -5.32 -4.32 -4.22
Global variables
Poil poil -1.71 -1.71 -1.71 -1.71 ∆poil -5.36 -5.36 -5.36 -5.36
Period (1997Q1-2012Q4)
Domestic variables
Africa Euro China US Real GDP y -0.91 -2.08 -0.71 -0.91
∆y -2.11 -1.88 -2.72 -2.13 inflation Dp -5.54 -5.36 -2.62 -9.03
∆Dp -7.81 -9.15 -12.56 -7.41 Real exchange rate rer -2.18 -1.61 -2.04
∆rer -4.91 -3.30 -3.89 Real import m -2.11 -4.04 -2.82 -4.05
∆m -3.16 -3.72 -4.69 -5.99 Real export x -2.16 -3.67 -2.68 -2.74
∆x -3.82 -3.24 -4.32 -4.38 Real GDP ys -1.06 -1.45 -1.20 -1.63
∆ys -2.91 -3.27 -2.87 -3.22 inflation Dps -7.59 -8.00 -6.60 -6.38 ∆Dps -9.60 -8.83 -7.98 -7.98 Real exchange rate eps -0.92 -1.87 -1.59 -1.59 ∆eps -5.76 -3.16 -4.75 -6.21
Global variable
Poil poil -3.739 -3.739 -3.739 -3.739 ∆poil -4.760 -4.760 -4.760 -4.760
Note: WS-ADF test statistics are chosen by the modified AIC with 5% significant level. The 95% critical value of the WS-ADF statistics for regressions with trend is -3.24 and without trend is - 2.55.
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TABLE 5A - VARX* Order and Co-Integrating Relationship in the Country Specific Models
Country Lag order of domestic variables Lag order of foreign variables Co-integrating
relations
Period (1980Q1-1996Q4)
Africa 2 1 2 China 1 1 2
Euro area 2 1 1 US 1 1 2
Period (1997Q1-2012Q4)
Africa 2 1 2 China 1 1 1 Euro area 2 1 1 US 2 1 2 Note: The rank of the cointegrating orders for each country/region is computed using Johansen’s trace statistics at the 95% critical value level.
TABLE 6A - Weak Exogeneity Tests of Country Specific Foreign and Global Variables
Country F-test Critical-value Country specific foreign and global variables
Real GDP inflation Real exchange
rate Oil prices
Period (1980Q1-1996Q4)
Africa F(2,48) 3.190727 1.408543 1.644644 0.98792 China F(2,53) 3.171626 1.469507 0.18599 1.170186 Euro F(1,49) 4.038393 1.995176 0.910853 0.11558 US F(2,54) 3.168246 0.041026 0.694813 1.605656
Period (1997Q1-2012Q4)
Africa F(2,44) 3.209278 1.001954 3.705879 2.507005 China F(1,50) 4.03431 3.306091 0.04841 0.096122 Euro F(1,45) 4.056612 0.144824 3.888188 2.693925 US F(2,45) 3.204317 1.376722 0.20522 0.165741 Note: the critical values are at the 5% level of significance.