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NBP Working Paper No. 315
The spillover effects of Chinese economy on Southeast Asia and Oceania
Anna Sznajderska, Mariusz Kapuściński
Narodowy Bank PolskiWarsaw 2019
NBP Working Paper No. 315
The spillover effects of Chinese economy on Southeast Asia and Oceania
Anna Sznajderska, Mariusz Kapuściński
Published by: Narodowy Bank Polski Education & Publishing Department ul. Świętokrzyska 11/21 00-919 Warszawa, Poland www.nbp.pl
ISSN 2084-624X
© Copyright Narodowy Bank Polski 2019
Anna Sznajderska – Warsaw School of Economics and Narodowy Bank Polski; [email protected]
Mariusz Kapuściński – Warsaw School of Economics and Narodowy Bank Polski; [email protected]
This work was supported by the National Science Center under Grant No. 2016/21/D/HS4/02798. The authors are grateful for helpful comments of conference participants at EcoMod 2019 in Ponta Delgada.This paper represents the opinions of the author. It is not meant to represent the position of the NBP. Any errors and omissions are the fault of the author.
3NBP Working Paper No. 315
ContentsAbstract 4
1. Introduction 5
2. Related literature 6
3. Methods 8
3.1. GVAR model 8
3.2. Robustness of the results – BVAR models 10
4. Data 13
5. Empirical results and discussion 15
5.1. The output spillover effects from China to Southeast Asia and Oceania 15
5.2. Robustness analysis - the results from BVAR models 17
5.3. Factors differentiating responses to a China GDP impulse 22
Conclusions 24
References 25
Appendix 27
Narodowy Bank Polski4
Abstract
1
The spillover effects of Chinese economy on Southeast Asia and Oceania1
Anna Sznajderska* Mariusz Kapuściński**
The slowdown of economy and widening of domestic imbalances in China bothers economists and politicians across the globe. The effects of a Chinese transition to a new growth model for other countries are uncertain. We quantify them by estimating the influence of a negative output shock in China on a number of different economies. We concentrate on China’s neighbouring countries. We compare the results from the Global VAR model and from the Bayesian VAR models that include Chinese variables as endogenous. Also we search for determinants of Chinese spillovers for the global economy. To this end, having a large number of factors potentially explaining differences in responses compared to the number of observations, we use Bayesian model averaging. We find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added and to economies which are larger.
JEL codes: C32, E32, F10, O53
Keywords: global VAR, Bayesian VAR, China’s slowdown, spillovers, structural characteristics
* Warsaw School of Economics and Narodowy Bank Polski, Email: [email protected]
** Warsaw School of Economics and Narodowy Bank Polski, Email: [email protected]
1This work was supported by the National Science Center under Grant No. 2016/21/D/HS4/02798. The authors are grateful for helpful comments of conference participants at EcoMod 2019 in Ponta Delgada.
Abstract
5NBP Working Paper No. 315
Chapter 1
2
1. Introduction
Over the past four decades China has become a global force in the world economy. China has contributed to approximately one-third of world economic growth since 2005 (see Chart 27 in Dieppe et al. 2018). But having reached over 14% in 2007, real GDP growth slowed to about 6.4% in 2018 (see Figure 14). The Chinese economy is maturing and rebalancing from import-intensive investment towards consumption.2 Dieppe et al. (2018) point out that domestic imbalances in China are widening and may lead to a number of vulnerabilities. These fragilities include rapid credit growth, as well as increased complexity and leverage in the financial system.
China plays a profound role in regional trade. It is a central point of the Asian supply chains. Thus, the slowdown of the Chinese economy is particularly troubling for its neighbouring countries. In this paper we decided to concentrate on China’s spillover effects to Southeast Asia and Oceania countries.
The main contribution of this paper is the application of GVAR and a set of BVAR models to quantify the implications of China’s slowdown for a number of economies, particularly in Southeast Asia and Oceania. The usage of a set of BVAR models in this context is a novel approach. We compare the two types of VAR models. Also we use a novel and large dataset for 59 economies. Lastly, using Bayesian model averaging, we examine the structural features that determine the impact of the Chinese economy on other economies.
To assess the effects of negative demand shock in China we use the GVAR model that enables us to model the whole global economy and to capture economic linkages between countries. We implement the model with the original set of variables and time-varying link matrixes. Also we estimate a BVAR model for each economy separately as a robustness check. Each BVAR model includes Chinese variables as partially exogenous.
Our results show that the response of neighbouring countries to negative demand shock in China is stronger and faster than the average response of other economies. The results from BVAR models seem to confirm the results from the GVAR model. According to our results Chinese Taipei is the most affected economy by negative GDP shock in China. Also Indonesia, Singapore, Hong Kong, Thailand, Malaysia are strongly affected. Australia seems to be also affected but to a lesser degree. We find weak GDP response to China GDP shock for New Zealand and the Philippines. The response of GDP in South Korea and Japan is quite significant, but only according to the results from the GVAR model. Moreover, we find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added (GVA) and to economies which are larger.
The article is structured as follows. In the second section we describe related literature. In the third section methods. The fourth section lists variables and their sources. In the fifth section we describe results, including a sensitivity analysis. The last section concludes.
2 Investment slowed from over 17% in 2000 (12) to 3% in 2015, while private consumption slowed from 13% in 2000 (12) to 9% in 2015.
2
1. Introduction
Over the past four decades China has become a global force in the world economy. China has contributed to approximately one-third of world economic growth since 2005 (see Chart 27 in Dieppe et al. 2018). But having reached over 14% in 2007, real GDP growth slowed to about 6.4% in 2018 (see Figure 14). The Chinese economy is maturing and rebalancing from import-intensive investment towards consumption.2 Dieppe et al. (2018) point out that domestic imbalances in China are widening and may lead to a number of vulnerabilities. These fragilities include rapid credit growth, as well as increased complexity and leverage in the financial system.
China plays a profound role in regional trade. It is a central point of the Asian supply chains. Thus, the slowdown of the Chinese economy is particularly troubling for its neighbouring countries. In this paper we decided to concentrate on China’s spillover effects to Southeast Asia and Oceania countries.
The main contribution of this paper is the application of GVAR and a set of BVAR models to quantify the implications of China’s slowdown for a number of economies, particularly in Southeast Asia and Oceania. The usage of a set of BVAR models in this context is a novel approach. We compare the two types of VAR models. Also we use a novel and large dataset for 59 economies. Lastly, using Bayesian model averaging, we examine the structural features that determine the impact of the Chinese economy on other economies.
To assess the effects of negative demand shock in China we use the GVAR model that enables us to model the whole global economy and to capture economic linkages between countries. We implement the model with the original set of variables and time-varying link matrixes. Also we estimate a BVAR model for each economy separately as a robustness check. Each BVAR model includes Chinese variables as partially exogenous.
Our results show that the response of neighbouring countries to negative demand shock in China is stronger and faster than the average response of other economies. The results from BVAR models seem to confirm the results from the GVAR model. According to our results Chinese Taipei is the most affected economy by negative GDP shock in China. Also Indonesia, Singapore, Hong Kong, Thailand, Malaysia are strongly affected. Australia seems to be also affected but to a lesser degree. We find weak GDP response to China GDP shock for New Zealand and the Philippines. The response of GDP in South Korea and Japan is quite significant, but only according to the results from the GVAR model. Moreover, we find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added (GVA) and to economies which are larger.
The article is structured as follows. In the second section we describe related literature. In the third section methods. The fourth section lists variables and their sources. In the fifth section we describe results, including a sensitivity analysis. The last section concludes.
2 Investment slowed from over 17% in 2000 (12) to 3% in 2015, while private consumption slowed from 13% in 2000 (12) to 9% in 2015.
1
The spillover effects of Chinese economy on Southeast Asia and Oceania1
Anna Sznajderska* Mariusz Kapuściński**
The slowdown of economy and widening of domestic imbalances in China bothers economists and politicians across the globe. The effects of a Chinese transition to a new growth model for other countries are uncertain. We quantify them by estimating the influence of a negative output shock in China on a number of different economies. We concentrate on China’s neighbouring countries. We compare the results from the Global VAR model and from the Bayesian VAR models that include Chinese variables as endogenous. Also we search for determinants of Chinese spillovers for the global economy. To this end, having a large number of factors potentially explaining differences in responses compared to the number of observations, we use Bayesian model averaging. We find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added and to economies which are larger.
JEL codes: C32, E32, F10, O53
Keywords: global VAR, Bayesian VAR, China’s slowdown, spillovers, structural characteristics
* Warsaw School of Economics and Narodowy Bank Polski, Email: [email protected]
** Warsaw School of Economics and Narodowy Bank Polski, Email: [email protected]
1This work was supported by the National Science Center under Grant No. 2016/21/D/HS4/02798. The authors are grateful for helpful comments of conference participants at EcoMod 2019 in Ponta Delgada.
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
9
We implement block exogeneity to create partial exogeneity within our set of endogenous variables. We want domestic variables (y, p, i, s, r) to have no impact on Chinese variables (yChina, iChina) (see Table 2).
Table 2. Exogeneity block
yChina iChina y p i s r yChina iChina y 1 1 p 1 1 i 1 1 s 1 1 r 1 1
The value of 1 in row i and column j of the table means that variable i has no effect on variable j.
3.3 Bayesian model averaging
After computing responses of GDP in respective economies to a GDP impulse in China from GVAR and BVAR models, we attempt to explain them by the countries’ structural characteristics. In principle, we estimate the parameters of the following linear regression models:
�� � ���� � ��,
where �� is an impulse response (either from the GVAR or from the BVAR model), �� is a vector of structural characteristics for each economy, � is a vector of coefficients and �� is an error term.
As a dependent variable, we take the maximum effect within 20 quarters (5 years) after an impulse.
We consider as many as 18 (16-17 at the same time) structural characteristics12 within the following groups:
the structure of international trade (shares of: agriculture, fuels and mining products, and manufacturing in trade with China),
the structure of gross value added (shares of: agriculture, industry, manufacturing and services in gross value added),
financial openness (Chinn-Ito index, where the higher the value, the higher the capital account openness),
the size of international investment position (the sum of international investment position assets and liabilities to GDP ratio),
distance (between capitals of respective economies and Beijing),
12 Initially we considered 39 structural characteristics, but we deleted 5 of them because of a lot of missing data and next we deleted 16 of them because of a high correlation with other data from a similar group.
Narodowy Bank Polski6
Chapter 2
3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
2
1. Introduction
Over the past four decades China has become a global force in the world economy. China has contributed to approximately one-third of world economic growth since 2005 (see Chart 27 in Dieppe et al. 2018). But having reached over 14% in 2007, real GDP growth slowed to about 6.4% in 2018 (see Figure 14). The Chinese economy is maturing and rebalancing from import-intensive investment towards consumption.2 Dieppe et al. (2018) point out that domestic imbalances in China are widening and may lead to a number of vulnerabilities. These fragilities include rapid credit growth, as well as increased complexity and leverage in the financial system.
China plays a profound role in regional trade. It is a central point of the Asian supply chains. Thus, the slowdown of the Chinese economy is particularly troubling for its neighbouring countries. In this paper we decided to concentrate on China’s spillover effects to Southeast Asia and Oceania countries.
The main contribution of this paper is the application of GVAR and a set of BVAR models to quantify the implications of China’s slowdown for a number of economies, particularly in Southeast Asia and Oceania. The usage of a set of BVAR models in this context is a novel approach. We compare the two types of VAR models. Also we use a novel and large dataset for 59 economies. Lastly, using Bayesian model averaging, we examine the structural features that determine the impact of the Chinese economy on other economies.
To assess the effects of negative demand shock in China we use the GVAR model that enables us to model the whole global economy and to capture economic linkages between countries. We implement the model with the original set of variables and time-varying link matrixes. Also we estimate a BVAR model for each economy separately as a robustness check. Each BVAR model includes Chinese variables as partially exogenous.
Our results show that the response of neighbouring countries to negative demand shock in China is stronger and faster than the average response of other economies. The results from BVAR models seem to confirm the results from the GVAR model. According to our results Chinese Taipei is the most affected economy by negative GDP shock in China. Also Indonesia, Singapore, Hong Kong, Thailand, Malaysia are strongly affected. Australia seems to be also affected but to a lesser degree. We find weak GDP response to China GDP shock for New Zealand and the Philippines. The response of GDP in South Korea and Japan is quite significant, but only according to the results from the GVAR model. Moreover, we find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added (GVA) and to economies which are larger.
The article is structured as follows. In the second section we describe related literature. In the third section methods. The fourth section lists variables and their sources. In the fifth section we describe results, including a sensitivity analysis. The last section concludes.
2 Investment slowed from over 17% in 2000 (12) to 3% in 2015, while private consumption slowed from 13% in 2000 (12) to 9% in 2015.
3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
2
1. Introduction
Over the past four decades China has become a global force in the world economy. China has contributed to approximately one-third of world economic growth since 2005 (see Chart 27 in Dieppe et al. 2018). But having reached over 14% in 2007, real GDP growth slowed to about 6.4% in 2018 (see Figure 14). The Chinese economy is maturing and rebalancing from import-intensive investment towards consumption.2 Dieppe et al. (2018) point out that domestic imbalances in China are widening and may lead to a number of vulnerabilities. These fragilities include rapid credit growth, as well as increased complexity and leverage in the financial system.
China plays a profound role in regional trade. It is a central point of the Asian supply chains. Thus, the slowdown of the Chinese economy is particularly troubling for its neighbouring countries. In this paper we decided to concentrate on China’s spillover effects to Southeast Asia and Oceania countries.
The main contribution of this paper is the application of GVAR and a set of BVAR models to quantify the implications of China’s slowdown for a number of economies, particularly in Southeast Asia and Oceania. The usage of a set of BVAR models in this context is a novel approach. We compare the two types of VAR models. Also we use a novel and large dataset for 59 economies. Lastly, using Bayesian model averaging, we examine the structural features that determine the impact of the Chinese economy on other economies.
To assess the effects of negative demand shock in China we use the GVAR model that enables us to model the whole global economy and to capture economic linkages between countries. We implement the model with the original set of variables and time-varying link matrixes. Also we estimate a BVAR model for each economy separately as a robustness check. Each BVAR model includes Chinese variables as partially exogenous.
Our results show that the response of neighbouring countries to negative demand shock in China is stronger and faster than the average response of other economies. The results from BVAR models seem to confirm the results from the GVAR model. According to our results Chinese Taipei is the most affected economy by negative GDP shock in China. Also Indonesia, Singapore, Hong Kong, Thailand, Malaysia are strongly affected. Australia seems to be also affected but to a lesser degree. We find weak GDP response to China GDP shock for New Zealand and the Philippines. The response of GDP in South Korea and Japan is quite significant, but only according to the results from the GVAR model. Moreover, we find that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added (GVA) and to economies which are larger.
The article is structured as follows. In the second section we describe related literature. In the third section methods. The fourth section lists variables and their sources. In the fifth section we describe results, including a sensitivity analysis. The last section concludes.
2 Investment slowed from over 17% in 2000 (12) to 3% in 2015, while private consumption slowed from 13% in 2000 (12) to 9% in 2015.
7NBP Working Paper No. 315
Related literature
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center. 3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
3
2. Related literature
China has become the largest market for Asian economies, surpassing Japan in 2005 and the United States in 2007 (Inoue et al., 2015). Because of the recession and anaemic growth in the United States and the euro zone, since 2008 the demand from advanced economies for Asia-Pacific exports has been decreasing. Asia-Pacific countries, however, have benefited from the surging Chinese domestic demand. Exports from Asia-Pacific countries to China have doubled over the last 5 years.
On the one hand China exerts significant effects on other Asian economies through direct trade linkages, and on the other hand China affects Asian economies indirectly through its impact on commodity prices. Chinese demand for metal and oil is high and increasing3, because of high investment in the domestic economy and urbanisation process in China. Osorio and Unsal (2013) by applying the GVAR model estimate both the direct and indirect channels.4 The authors estimate that within two years about 20% of the spillovers from positive demand shock in China are due to higher commodity prices. Also, indirect impacts transmit faster to inflation in Asian economies than direct impacts.
In the literature much attention has been directed to the international spillover effects of China’s slowdown. Using the GVAR model, Cashin et al. (2016) examine the impact of China’s slowdown and the higher global financial market volatility on other economies. It appears that the negative output shock in China has the largest effect on less-diversified commodity exporters and ASEAN-5 countries (Indonesia, Malaysia, Singapore, and Thailand – without the Philippines). Following a 1 p.p. decrease of the real GDP growth in China, global growth decreases by 0.23 p.p. in the short term, and oil prices fall by 2.8 p.p. in the long term. Similarly, Sznajderska (2019) by estimating a different GVAR model shows that a 1 p.p. negative China GDP shock reduces global output by 0.22 p.p. in the short run, leading to a maximum 1 p.p. decrease in the global output in the longer term.
Blagrave and Vesperoni (2018) show that spillover effects are largest for countries with tighter trade links to China, particularly those in Asia. They analyse demand shocks for Chinese secondary and tertiary sectors separately. They apply a panel VAR model with China’s demand shocks, identified outside the model, as exogenous variables. Authors show that shocks to China’s secondary sector have much larger effects on partner export countries than shocks to China’s tertiary sector. In our study we do not take into account the tertiary sector, in the sense that we measure links between countries using DOTS statistics.
Also the Chinese stock market crash (2015-2016) shows that China is becoming more integrated with the regional financial markets. Abdullahi and Rui (2019), for instance, by investigating daily data between 2015 and 2016, show strong shock spillover effects from China to most Asia-Pacific stock markets (except New Zealand).
3 China consumed about 50% of copper and aluminium (2016), 60% of iron ore and 12% of oil (2015), produced globally. 4 It appears that the level of inflation is most strongly affected in Indonesia and next in Malaysia, India, Philippines, Thailand, Singapore, and Korea. While Hong Kong, New Zealand, Australia, and Japan are less affected.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center. 4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
Narodowy Bank Polski8
Chapter 3
5
3. Methods
3.1.GVAR model
We use the global vector autoregressive model to investigate the impact of the Chinese economy on other economies.8
The GVAR model is estimated within two steps (see Pesaran et al. (2004) and Dees et al. (2007a)). First let us consider the VARX(��, ��) models for each country (� = 1,���� is the number of countries), where��� and �� are lags lengths selected by SBC.
��� = ��� + ���� + Φ����,��� + ⋯+Φ�����,���� + Λ�����∗ + ⋯+ Λ�����,����∗
+ Ψ���� + ⋯+Ψ�������� + ���,
(1)
��� – is a vector of domestic variables,
���∗ – is a vector of foreign variables,
�� – is a vector of dominant unit model variables (here: oil prices).
Note that �� is treated as a foreign variable in the GVAR model and shares the same lag order as foreign variables.
Foreign variables are calculated as a weighted average of domestic variables:
���∗ = ���������
���, ��������� = 0,
and ��� are weights calculated on the basis of bilateral trade flows (∑ ������� = 1).���is the
number of domestic variables and ��∗is the number of foreign variables in �th country.
Following other studies we estimate the error correction form (VECMX(��, ��) models) of the VARX(��, ��) specification for each country (cf. Pesaran et al. (2004), Backé et al. (2013), Bussière et al. (2012), Dees et al. (2007b), Inoue et al. (2015)):
���� = ��� +���������,�����
���+��������,���
��
���+�Λ������,���∗
��
���+���������
��
���+ ���.
��� are error correction terms and �� is the number of cointegrating relations. In Table 5 we present the results of unit root tests for domestic variables. Most of them are nonstationary with stationary first differences. The usage of VECM models allows as to capture long-run relationships that exists among the domestic and the country specific foreign variables.
The dominant unit is modelled as:
�� = �� + ��� + ������ + ⋯+ �������� + ������� + ⋯+ ��������� + ��, (2)
8 We estimate a GVAR model using the modified GVAR 2.0 toolbox.
5
3. Methods
3.1.GVAR model
We use the global vector autoregressive model to investigate the impact of the Chinese economy on other economies.8
The GVAR model is estimated within two steps (see Pesaran et al. (2004) and Dees et al. (2007a)). First let us consider the VARX(��, ��) models for each country (� = 1,���� is the number of countries), where��� and �� are lags lengths selected by SBC.
��� = ��� + ���� + Φ����,��� + ⋯+Φ�����,���� + Λ�����∗ + ⋯+ Λ�����,����∗
+ Ψ���� + ⋯+Ψ�������� + ���,
(1)
��� – is a vector of domestic variables,
���∗ – is a vector of foreign variables,
�� – is a vector of dominant unit model variables (here: oil prices).
Note that �� is treated as a foreign variable in the GVAR model and shares the same lag order as foreign variables.
Foreign variables are calculated as a weighted average of domestic variables:
���∗ = ���������
���, ��������� = 0,
and ��� are weights calculated on the basis of bilateral trade flows (∑ ������� = 1).���is the
number of domestic variables and ��∗is the number of foreign variables in �th country.
Following other studies we estimate the error correction form (VECMX(��, ��) models) of the VARX(��, ��) specification for each country (cf. Pesaran et al. (2004), Backé et al. (2013), Bussière et al. (2012), Dees et al. (2007b), Inoue et al. (2015)):
���� = ��� +���������,�����
���+��������,���
��
���+�Λ������,���∗
��
���+���������
��
���+ ���.
��� are error correction terms and �� is the number of cointegrating relations. In Table 5 we present the results of unit root tests for domestic variables. Most of them are nonstationary with stationary first differences. The usage of VECM models allows as to capture long-run relationships that exists among the domestic and the country specific foreign variables.
The dominant unit is modelled as:
�� = �� + ��� + ������ + ⋯+ �������� + ������� + ⋯+ ��������� + ��, (2)
8 We estimate a GVAR model using the modified GVAR 2.0 toolbox.
6
where ��� are feedback variables, constructed as a weighted average of variables included in the models for non-dominant units (see Smith and Galesi (2014) for details).
In the second step, the corresponding VARX models (Eq.1) are recovered from the estimated VECMX models. Then the individual country models are stacked into one model:
���� = �� + ��� + ������ + ⋯+ ������ + Ψ��� + ⋯+Ψ����� + ��,
(3)
�� =
⎝⎜⎛����������…
�����⎠⎟⎞ ,�� =
⎝⎜⎛����������…
�����⎠⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞.
where���� = ����, −Λ���, ��� = ����, Λ���, � = �,… �, � = ���(��) , � = ����(��). �� is the (�� + ��∗) � � (� = ∑ ���
��� ) link matrix for ith country defined by trade weights ���, so that:
�������∗ � = ����.
When solving the GVAR model equations (1) and (2) are written in one equation, which is solved recursively.
Next we calculate the generalised impulse response functions (GIRFs), that were developed in Koop, Pesaran, and Potter (1996) and Pesaran and Shin (1998), and we calculate 90% bootstrap confidence bands. Because of the large number of variables in the GVAR model we cannot use the standard IRFs that assume orthogonal shocks. GIRFs do not depend on the ordering of the variables. GIRFs show how changes in Chinese GDP affect the other variables in the GVAR over time regardless of the source of the change. We do not know whether such a shock stems from a shift in the demand or supply of output in China or in other countries.
The baseline GVAR model includes five variables for each country: these are real GDP, CPI, stock price index, REER, and short-term interest rate. Furthermore, it includes oil prices as a global variable and real GDP and short-term interest rate as a foreign variable (see Eq.1). The model uses a time-varying matrix of trade flow (IMF DOTS). Also, we include a dominant unit to model oil prices with two feedback variables (real GDP and short-term interest rate).
We obtained a stable GVAR model, meaning convergent persistent profiles9, eigenvalues lying in the unit circle, and non-explosive GIRFs. To arrive with a stable GVAR we reduced the number of cointegrating relations for Argentina from 5 to 1 relation. Also we decided to remove from the sample 3 economies, that faced episodes of very high inflation, namely Venezuela, Turkey, and Bulgaria. When we included the 3 economies in the sample, many results were statistically insignificant.
In Table 6 in the Appendix we present the Johansen’s trace statistics. The order of the VARX* models as well as the number of cointegration relationships are presented in Table 8 9 Persistent profiles show the time profiles of the effects of either variable or system specific shocks on the cointegration relations in the GVAR model. The value of persistent profiles is unity on impact and, if the vector under investigation is indeed a cointegration vector, it should tend to zero as the time horizon tends to infinity.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
4
It is important to note that Chinese financial linkages are smaller than linkages through trade channels. Capital flows in and out of China are restricted legally. Despite capital controls, financial integration of China is de facto non-negligible (see Dieppe et al. 2018). Dieppe et al. note that the share of China and Hong Kong's global gross asset and liability position in 2015 was approximately 8% (to compare with 10% share in global imports or 22% share in global energy consumption in 20155). Based on the data from BIS locational international banking statistics we may notice that the highest financial flows are between China and Hong-Kong6, followed by the euro area, the United States, the United Kingdom, Japan, Taiwan7, Korea, Australia, and Canada, in descending order (see Figure 11 in the Appendix).
The important question is why some economies are affected more by China’s spillovers and some are less. We try to answer this question by looking at structural characteristics of the economies. Georgiadis is the author of two papers in which he shows that differences within the monetary transmission mechanism depend on the differences in the structural characteristics of the economies. He applies GVAR methodology with sign restrictions.
In his first paper Georgiadis (2015a) studies the transmission of the common euro area monetary policy across the individual euro area economies. The euro area countries in which a share of sectors with the demand sensitive to interest rate changes in the accumulated industry is bigger exhibit a stronger monetary transmission to real economic activity. Similarly, stronger transmission is observed in the countries with more real wages rigidities and/or fewer unemployment rigidities. In his second paper, Georgiadis (2015b) studies spillover effects from the US economy. The results of the study suggest that policymakers could mitigate the US spillover effects by encouraging trade integration, financial market development, flexibility of exchange rates and by reducing labour market rigidities. On the other hand, other policies, such as slowing the process of financial integration and industrialisation or participation in the global value chains, could also reduce the spillover effects, but would probably decrease the level of long-run economic growth as well.
We analyse the factors which explain differences in spillovers similarly as Georgiadis (2015a, 2015b), by regressing maximum point impulse responses on structural characteristics of respective economies. However, due to having a large number of candidate characteristics compared to the number of observations, we have used Bayesian model averaging. A similar approach was used, for example, by Havranek and Rusnak (2013) in order to analyse the transmission lags of monetary policy. In contrast to their analysis, we do not carry out a meta-analysis of existing studies.
5 These statistics do not include Hong-Kong. 6 A special administrative region of China. Hong Kong is a major renminbi center. 7 In 2012, an agreement was signed between the central banks of China and Taiwan enabling direct settlement of their currencies. As a result, Taiwan has become a local Chinese renminbi center.
9NBP Working Paper No. 315
Methods
6
where ��� are feedback variables, constructed as a weighted average of variables included in the models for non-dominant units (see Smith and Galesi (2014) for details).
In the second step, the corresponding VARX models (Eq.1) are recovered from the estimated VECMX models. Then the individual country models are stacked into one model:
���� = �� + ��� + ������ + ⋯+ ������ + Ψ��� + ⋯+Ψ����� + ��,
(3)
�� =
⎝⎜⎛����������…
�����⎠⎟⎞ ,�� =
⎝⎜⎛����������…
�����⎠⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞.
where���� = ����, −Λ���, ��� = ����, Λ���, � = �,… �, � = ���(��) , � = ����(��). �� is the (�� + ��∗) � � (� = ∑ ���
��� ) link matrix for ith country defined by trade weights ���, so that:
�������∗ � = ����.
When solving the GVAR model equations (1) and (2) are written in one equation, which is solved recursively.
Next we calculate the generalised impulse response functions (GIRFs), that were developed in Koop, Pesaran, and Potter (1996) and Pesaran and Shin (1998), and we calculate 90% bootstrap confidence bands. Because of the large number of variables in the GVAR model we cannot use the standard IRFs that assume orthogonal shocks. GIRFs do not depend on the ordering of the variables. GIRFs show how changes in Chinese GDP affect the other variables in the GVAR over time regardless of the source of the change. We do not know whether such a shock stems from a shift in the demand or supply of output in China or in other countries.
The baseline GVAR model includes five variables for each country: these are real GDP, CPI, stock price index, REER, and short-term interest rate. Furthermore, it includes oil prices as a global variable and real GDP and short-term interest rate as a foreign variable (see Eq.1). The model uses a time-varying matrix of trade flow (IMF DOTS). Also, we include a dominant unit to model oil prices with two feedback variables (real GDP and short-term interest rate).
We obtained a stable GVAR model, meaning convergent persistent profiles9, eigenvalues lying in the unit circle, and non-explosive GIRFs. To arrive with a stable GVAR we reduced the number of cointegrating relations for Argentina from 5 to 1 relation. Also we decided to remove from the sample 3 economies, that faced episodes of very high inflation, namely Venezuela, Turkey, and Bulgaria. When we included the 3 economies in the sample, many results were statistically insignificant.
In Table 6 in the Appendix we present the Johansen’s trace statistics. The order of the VARX* models as well as the number of cointegration relationships are presented in Table 8 9 Persistent profiles show the time profiles of the effects of either variable or system specific shocks on the cointegration relations in the GVAR model. The value of persistent profiles is unity on impact and, if the vector under investigation is indeed a cointegration vector, it should tend to zero as the time horizon tends to infinity.
6
where ��� are feedback variables, constructed as a weighted average of variables included in the models for non-dominant units (see Smith and Galesi (2014) for details).
In the second step, the corresponding VARX models (Eq.1) are recovered from the estimated VECMX models. Then the individual country models are stacked into one model:
���� = �� + ��� + ������ + ⋯+ ������ + Ψ��� + ⋯+Ψ����� + ��,
(3)
�� =
⎝⎜⎛����������…
�����⎠⎟⎞ ,�� =
⎝⎜⎛����������…
�����⎠⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞.
where���� = ����, −Λ���, ��� = ����, Λ���, � = �,… �, � = ���(��) , � = ����(��). �� is the (�� + ��∗) � � (� = ∑ ���
��� ) link matrix for ith country defined by trade weights ���, so that:
�������∗ � = ����.
When solving the GVAR model equations (1) and (2) are written in one equation, which is solved recursively.
Next we calculate the generalised impulse response functions (GIRFs), that were developed in Koop, Pesaran, and Potter (1996) and Pesaran and Shin (1998), and we calculate 90% bootstrap confidence bands. Because of the large number of variables in the GVAR model we cannot use the standard IRFs that assume orthogonal shocks. GIRFs do not depend on the ordering of the variables. GIRFs show how changes in Chinese GDP affect the other variables in the GVAR over time regardless of the source of the change. We do not know whether such a shock stems from a shift in the demand or supply of output in China or in other countries.
The baseline GVAR model includes five variables for each country: these are real GDP, CPI, stock price index, REER, and short-term interest rate. Furthermore, it includes oil prices as a global variable and real GDP and short-term interest rate as a foreign variable (see Eq.1). The model uses a time-varying matrix of trade flow (IMF DOTS). Also, we include a dominant unit to model oil prices with two feedback variables (real GDP and short-term interest rate).
We obtained a stable GVAR model, meaning convergent persistent profiles9, eigenvalues lying in the unit circle, and non-explosive GIRFs. To arrive with a stable GVAR we reduced the number of cointegrating relations for Argentina from 5 to 1 relation. Also we decided to remove from the sample 3 economies, that faced episodes of very high inflation, namely Venezuela, Turkey, and Bulgaria. When we included the 3 economies in the sample, many results were statistically insignificant.
In Table 6 in the Appendix we present the Johansen’s trace statistics. The order of the VARX* models as well as the number of cointegration relationships are presented in Table 8 9 Persistent profiles show the time profiles of the effects of either variable or system specific shocks on the cointegration relations in the GVAR model. The value of persistent profiles is unity on impact and, if the vector under investigation is indeed a cointegration vector, it should tend to zero as the time horizon tends to infinity.
7
in the Appendix. The cointegration results are based on the trace statistic, which has better small sample power results compared to the maximum eigenvalue statistic.
5
3. Methods
3.1.GVAR model
We use the global vector autoregressive model to investigate the impact of the Chinese economy on other economies.8
The GVAR model is estimated within two steps (see Pesaran et al. (2004) and Dees et al. (2007a)). First let us consider the VARX(��, ��) models for each country (� = 1,���� is the number of countries), where��� and �� are lags lengths selected by SBC.
��� = ��� + ���� + Φ����,��� + ⋯+Φ�����,���� + Λ�����∗ + ⋯+ Λ�����,����∗
+ Ψ���� + ⋯+Ψ�������� + ���,
(1)
��� – is a vector of domestic variables,
���∗ – is a vector of foreign variables,
�� – is a vector of dominant unit model variables (here: oil prices).
Note that �� is treated as a foreign variable in the GVAR model and shares the same lag order as foreign variables.
Foreign variables are calculated as a weighted average of domestic variables:
���∗ = ���������
���, ��������� = 0,
and ��� are weights calculated on the basis of bilateral trade flows (∑ ������� = 1).���is the
number of domestic variables and ��∗is the number of foreign variables in �th country.
Following other studies we estimate the error correction form (VECMX(��, ��) models) of the VARX(��, ��) specification for each country (cf. Pesaran et al. (2004), Backé et al. (2013), Bussière et al. (2012), Dees et al. (2007b), Inoue et al. (2015)):
���� = ��� +���������,�����
���+��������,���
��
���+�Λ������,���∗
��
���+���������
��
���+ ���.
��� are error correction terms and �� is the number of cointegrating relations. In Table 5 we present the results of unit root tests for domestic variables. Most of them are nonstationary with stationary first differences. The usage of VECM models allows as to capture long-run relationships that exists among the domestic and the country specific foreign variables.
The dominant unit is modelled as:
�� = �� + ��� + ������ + ⋯+ �������� + ������� + ⋯+ ��������� + ��, (2)
8 We estimate a GVAR model using the modified GVAR 2.0 toolbox.
5
3. Methods
3.1.GVAR model
We use the global vector autoregressive model to investigate the impact of the Chinese economy on other economies.8
The GVAR model is estimated within two steps (see Pesaran et al. (2004) and Dees et al. (2007a)). First let us consider the VARX(��, ��) models for each country (� = 1,���� is the number of countries), where��� and �� are lags lengths selected by SBC.
��� = ��� + ���� + Φ����,��� + ⋯+Φ�����,���� + Λ�����∗ + ⋯+ Λ�����,����∗
+ Ψ���� + ⋯+Ψ�������� + ���,
(1)
��� – is a vector of domestic variables,
���∗ – is a vector of foreign variables,
�� – is a vector of dominant unit model variables (here: oil prices).
Note that �� is treated as a foreign variable in the GVAR model and shares the same lag order as foreign variables.
Foreign variables are calculated as a weighted average of domestic variables:
���∗ = ���������
���, ��������� = 0,
and ��� are weights calculated on the basis of bilateral trade flows (∑ ������� = 1).���is the
number of domestic variables and ��∗is the number of foreign variables in �th country.
Following other studies we estimate the error correction form (VECMX(��, ��) models) of the VARX(��, ��) specification for each country (cf. Pesaran et al. (2004), Backé et al. (2013), Bussière et al. (2012), Dees et al. (2007b), Inoue et al. (2015)):
���� = ��� +���������,�����
���+��������,���
��
���+�Λ������,���∗
��
���+���������
��
���+ ���.
��� are error correction terms and �� is the number of cointegrating relations. In Table 5 we present the results of unit root tests for domestic variables. Most of them are nonstationary with stationary first differences. The usage of VECM models allows as to capture long-run relationships that exists among the domestic and the country specific foreign variables.
The dominant unit is modelled as:
�� = �� + ��� + ������ + ⋯+ �������� + ������� + ⋯+ ��������� + ��, (2)
8 We estimate a GVAR model using the modified GVAR 2.0 toolbox.
Narodowy Bank Polski10
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
6
where ��� are feedback variables, constructed as a weighted average of variables included in the models for non-dominant units (see Smith and Galesi (2014) for details).
In the second step, the corresponding VARX models (Eq.1) are recovered from the estimated VECMX models. Then the individual country models are stacked into one model:
���� = �� + ��� + ������ + ⋯+ ������ + Ψ��� + ⋯+Ψ����� + ��,
(3)
�� =
⎝⎜⎛����������…
�����⎠⎟⎞ ,�� =
⎝⎜⎛����������…
�����⎠⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞.
where���� = ����, −Λ���, ��� = ����, Λ���, � = �,… �, � = ���(��) , � = ����(��). �� is the (�� + ��∗) � � (� = ∑ ���
��� ) link matrix for ith country defined by trade weights ���, so that:
�������∗ � = ����.
When solving the GVAR model equations (1) and (2) are written in one equation, which is solved recursively.
Next we calculate the generalised impulse response functions (GIRFs), that were developed in Koop, Pesaran, and Potter (1996) and Pesaran and Shin (1998), and we calculate 90% bootstrap confidence bands. Because of the large number of variables in the GVAR model we cannot use the standard IRFs that assume orthogonal shocks. GIRFs do not depend on the ordering of the variables. GIRFs show how changes in Chinese GDP affect the other variables in the GVAR over time regardless of the source of the change. We do not know whether such a shock stems from a shift in the demand or supply of output in China or in other countries.
The baseline GVAR model includes five variables for each country: these are real GDP, CPI, stock price index, REER, and short-term interest rate. Furthermore, it includes oil prices as a global variable and real GDP and short-term interest rate as a foreign variable (see Eq.1). The model uses a time-varying matrix of trade flow (IMF DOTS). Also, we include a dominant unit to model oil prices with two feedback variables (real GDP and short-term interest rate).
We obtained a stable GVAR model, meaning convergent persistent profiles9, eigenvalues lying in the unit circle, and non-explosive GIRFs. To arrive with a stable GVAR we reduced the number of cointegrating relations for Argentina from 5 to 1 relation. Also we decided to remove from the sample 3 economies, that faced episodes of very high inflation, namely Venezuela, Turkey, and Bulgaria. When we included the 3 economies in the sample, many results were statistically insignificant.
In Table 6 in the Appendix we present the Johansen’s trace statistics. The order of the VARX* models as well as the number of cointegration relationships are presented in Table 8 9 Persistent profiles show the time profiles of the effects of either variable or system specific shocks on the cointegration relations in the GVAR model. The value of persistent profiles is unity on impact and, if the vector under investigation is indeed a cointegration vector, it should tend to zero as the time horizon tends to infinity.
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
6
where ��� are feedback variables, constructed as a weighted average of variables included in the models for non-dominant units (see Smith and Galesi (2014) for details).
In the second step, the corresponding VARX models (Eq.1) are recovered from the estimated VECMX models. Then the individual country models are stacked into one model:
���� = �� + ��� + ������ + ⋯+ ������ + Ψ��� + ⋯+Ψ����� + ��,
(3)
�� =
⎝⎜⎛����������…
�����⎠⎟⎞ ,�� =
⎝⎜⎛����������…
�����⎠⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞ , �� =
⎝⎜⎛������…���⎠
⎟⎞.
where���� = ����, −Λ���, ��� = ����, Λ���, � = �,… �, � = ���(��) , � = ����(��). �� is the (�� + ��∗) � � (� = ∑ ���
��� ) link matrix for ith country defined by trade weights ���, so that:
�������∗ � = ����.
When solving the GVAR model equations (1) and (2) are written in one equation, which is solved recursively.
Next we calculate the generalised impulse response functions (GIRFs), that were developed in Koop, Pesaran, and Potter (1996) and Pesaran and Shin (1998), and we calculate 90% bootstrap confidence bands. Because of the large number of variables in the GVAR model we cannot use the standard IRFs that assume orthogonal shocks. GIRFs do not depend on the ordering of the variables. GIRFs show how changes in Chinese GDP affect the other variables in the GVAR over time regardless of the source of the change. We do not know whether such a shock stems from a shift in the demand or supply of output in China or in other countries.
The baseline GVAR model includes five variables for each country: these are real GDP, CPI, stock price index, REER, and short-term interest rate. Furthermore, it includes oil prices as a global variable and real GDP and short-term interest rate as a foreign variable (see Eq.1). The model uses a time-varying matrix of trade flow (IMF DOTS). Also, we include a dominant unit to model oil prices with two feedback variables (real GDP and short-term interest rate).
We obtained a stable GVAR model, meaning convergent persistent profiles9, eigenvalues lying in the unit circle, and non-explosive GIRFs. To arrive with a stable GVAR we reduced the number of cointegrating relations for Argentina from 5 to 1 relation. Also we decided to remove from the sample 3 economies, that faced episodes of very high inflation, namely Venezuela, Turkey, and Bulgaria. When we included the 3 economies in the sample, many results were statistically insignificant.
In Table 6 in the Appendix we present the Johansen’s trace statistics. The order of the VARX* models as well as the number of cointegration relationships are presented in Table 8 9 Persistent profiles show the time profiles of the effects of either variable or system specific shocks on the cointegration relations in the GVAR model. The value of persistent profiles is unity on impact and, if the vector under investigation is indeed a cointegration vector, it should tend to zero as the time horizon tends to infinity.
11NBP Working Paper No. 315
Methods
9
We implement block exogeneity to create partial exogeneity within our set of endogenous variables. We want domestic variables (y, p, i, s, r) to have no impact on Chinese variables (yChina, iChina) (see Table 2).
Table 2. Exogeneity block
yChina iChina y p i s r yChina iChina y 1 1 p 1 1 i 1 1 s 1 1 r 1 1
The value of 1 in row i and column j of the table means that variable i has no effect on variable j.
3.3 Bayesian model averaging
After computing responses of GDP in respective economies to a GDP impulse in China from GVAR and BVAR models, we attempt to explain them by the countries’ structural characteristics. In principle, we estimate the parameters of the following linear regression models:
�� � ���� � ��,
where �� is an impulse response (either from the GVAR or from the BVAR model), �� is a vector of structural characteristics for each economy, � is a vector of coefficients and �� is an error term.
As a dependent variable, we take the maximum effect within 20 quarters (5 years) after an impulse.
We consider as many as 18 (16-17 at the same time) structural characteristics12 within the following groups:
the structure of international trade (shares of: agriculture, fuels and mining products, and manufacturing in trade with China),
the structure of gross value added (shares of: agriculture, industry, manufacturing and services in gross value added),
financial openness (Chinn-Ito index, where the higher the value, the higher the capital account openness),
the size of international investment position (the sum of international investment position assets and liabilities to GDP ratio),
distance (between capitals of respective economies and Beijing),
12 Initially we considered 39 structural characteristics, but we deleted 5 of them because of a lot of missing data and next we deleted 16 of them because of a high correlation with other data from a similar group.
9
We implement block exogeneity to create partial exogeneity within our set of endogenous variables. We want domestic variables (y, p, i, s, r) to have no impact on Chinese variables (yChina, iChina) (see Table 2).
Table 2. Exogeneity block
yChina iChina y p i s r yChina iChina y 1 1 p 1 1 i 1 1 s 1 1 r 1 1
The value of 1 in row i and column j of the table means that variable i has no effect on variable j.
3.3 Bayesian model averaging
After computing responses of GDP in respective economies to a GDP impulse in China from GVAR and BVAR models, we attempt to explain them by the countries’ structural characteristics. In principle, we estimate the parameters of the following linear regression models:
�� � ���� � ��,
where �� is an impulse response (either from the GVAR or from the BVAR model), �� is a vector of structural characteristics for each economy, � is a vector of coefficients and �� is an error term.
As a dependent variable, we take the maximum effect within 20 quarters (5 years) after an impulse.
We consider as many as 18 (16-17 at the same time) structural characteristics12 within the following groups:
the structure of international trade (shares of: agriculture, fuels and mining products, and manufacturing in trade with China),
the structure of gross value added (shares of: agriculture, industry, manufacturing and services in gross value added),
financial openness (Chinn-Ito index, where the higher the value, the higher the capital account openness),
the size of international investment position (the sum of international investment position assets and liabilities to GDP ratio),
distance (between capitals of respective economies and Beijing),
12 Initially we considered 39 structural characteristics, but we deleted 5 of them because of a lot of missing data and next we deleted 16 of them because of a high correlation with other data from a similar group.
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
8
3.2 Robustness of the results – BVAR models
We apply the Bayesian VAR models to check the robustness of the results from the GVAR model. BVAR models are estimated for each country separately.10 To ensure maximum comparability to GVAR model, we estimate the models on first differences (all variables except of interest rate are in first differences).
��� � �� � ������� � �� ������� � ���� � ��, �� is a vector of endogenous variables,
�� is a vector of exogenous variables, and it corresponds to foreign variables and the dominant unit in the GVAR model,
������, �� is a vector of residuals.
We identify shocks using the Cholesky decomposition, which is easier to reasonably implement within the BVAR framework, than within the GVAR.
The specification of the BVAR models is chosen to be as similar to the GVAR model as possible.
The endogenous variables are as follows: Chinese GDP (yChina), Chinese interest rate (iChina), domestic GDP (y), domestic price level (p), domestic interest rate (i), domestic stock price index (s), and domestic real effective exchange rate (r). The order of variables for the Cholesky identification is as written above11. The exogenous variables are foreign GDP (without China) (yforeign), foreign price level (pforeign), and oil price level (oil). The choice of variables is similar to Peersman and Smets (2001). The number of lags is 4.
Note that in the models for Algeria, Croatia, Saudi Arabia, and Romania, stock price indexes are not included due to the unavailability of data.
We use Minnesota prior with the following parameters:
Table 1. Hyperparameters for Minnesota prior
auto-regressive coefficient: 0.8
overall tightness λ1: 0.2
cross-variable weighting λ2: 0.5
lag decay λ3: 2
exogenous variable tightness λ4: 100000
Auto-regressive coefficient is equal to 0.8, because our variables are known to be stationary (see Dieppe 2016). The rest of the hyperparameters are chosen on the basis of suggestions in Canova (2007).
10 We estimate BVAR models using the modified BEAR 4.2 toolbox. 11 The order of the variables is similar to the order used in the NBP Working Papers on monetary transmission mechanism (see Demchuk et al. 2012, Kapuściński et al. 2014 and 2016, and Chmielewski et al. 2018).
Narodowy Bank Polski12
10
exchange rate regime (according to the classification of Klein and Shambaugh (2010), where 1 indicates a fixed and 0 – a flexible exchange rate),
trade openness (the sum of exports and imports to GDP ratio), size (GDP in PPP, constant prices), development (GDP per capita in PPP, constant prices), participation in global value chains (GVC) – with China and total, tariffs (weighted average).
As we describe in the next section, we model 40 economies, so by including all the above mentioned variables in linear regression models at the same time we would be left with just above 20 degrees of freedom, which does not appear to be acceptable. We could estimate a model with each structural characteristic separately, but that would put us at risk of getting biased estimates (due to the omitted-variable bias).
Therefore, we decided to use the Bayesian model averaging approach, in which first we estimate linear regression models with different sets of independent variables, and then we average parameters over models, with weights proportional to posterior probabilities of respective models being correct (assuming one of them is correct).13
Formally, a model-averaged Bayesian point estimator is the following:
�[��|�] �����(�)�(��|�),
where �[��|�] is the posterior distribution of a parameter ��, ��(�)� is the posterior mean of the parameter �� under model ��, and �(��|�) is the posterior probability that �� is the correct model, given that one of the models considered is correct. For more details on Bayesian model averaging see, for example, Raftery et al. (2005).
When interpreting the results we focus on posterior inclusion probabilities of each variable being in the model.
Finally, it should be noted that, on top of using two variants of the dependent variable (either from the GVAR or from the BVAR models), we also try two sets of regressors: one with a weight in trade with China, and one with proxies for it based on the gravitational model of trade – GDP in PPP and distance. The latter specification does not directly include any deterministic relationship between responses and trade weights due to the construction of the GVAR model itself. Remaining variables are used in both sets.
In the baseline model we explain responses from the GVAR model by the set of variables including GDP in PPP and distance, while the remaining three variants make up a sensitivity analysis.
13 We used the bicreg function in the BMA package in R.
10
exchange rate regime (according to the classification of Klein and Shambaugh (2010), where 1 indicates a fixed and 0 – a flexible exchange rate),
trade openness (the sum of exports and imports to GDP ratio), size (GDP in PPP, constant prices), development (GDP per capita in PPP, constant prices), participation in global value chains (GVC) – with China and total, tariffs (weighted average).
As we describe in the next section, we model 40 economies, so by including all the above mentioned variables in linear regression models at the same time we would be left with just above 20 degrees of freedom, which does not appear to be acceptable. We could estimate a model with each structural characteristic separately, but that would put us at risk of getting biased estimates (due to the omitted-variable bias).
Therefore, we decided to use the Bayesian model averaging approach, in which first we estimate linear regression models with different sets of independent variables, and then we average parameters over models, with weights proportional to posterior probabilities of respective models being correct (assuming one of them is correct).13
Formally, a model-averaged Bayesian point estimator is the following:
�[��|�] �����(�)�(��|�),
where �[��|�] is the posterior distribution of a parameter ��, ��(�)� is the posterior mean of the parameter �� under model ��, and �(��|�) is the posterior probability that �� is the correct model, given that one of the models considered is correct. For more details on Bayesian model averaging see, for example, Raftery et al. (2005).
When interpreting the results we focus on posterior inclusion probabilities of each variable being in the model.
Finally, it should be noted that, on top of using two variants of the dependent variable (either from the GVAR or from the BVAR models), we also try two sets of regressors: one with a weight in trade with China, and one with proxies for it based on the gravitational model of trade – GDP in PPP and distance. The latter specification does not directly include any deterministic relationship between responses and trade weights due to the construction of the GVAR model itself. Remaining variables are used in both sets.
In the baseline model we explain responses from the GVAR model by the set of variables including GDP in PPP and distance, while the remaining three variants make up a sensitivity analysis.
13 We used the bicreg function in the BMA package in R.
9
We implement block exogeneity to create partial exogeneity within our set of endogenous variables. We want domestic variables (y, p, i, s, r) to have no impact on Chinese variables (yChina, iChina) (see Table 2).
Table 2. Exogeneity block
yChina iChina y p i s r yChina iChina y 1 1 p 1 1 i 1 1 s 1 1 r 1 1
The value of 1 in row i and column j of the table means that variable i has no effect on variable j.
3.3 Bayesian model averaging
After computing responses of GDP in respective economies to a GDP impulse in China from GVAR and BVAR models, we attempt to explain them by the countries’ structural characteristics. In principle, we estimate the parameters of the following linear regression models:
�� � ���� � ��,
where �� is an impulse response (either from the GVAR or from the BVAR model), �� is a vector of structural characteristics for each economy, � is a vector of coefficients and �� is an error term.
As a dependent variable, we take the maximum effect within 20 quarters (5 years) after an impulse.
We consider as many as 18 (16-17 at the same time) structural characteristics12 within the following groups:
the structure of international trade (shares of: agriculture, fuels and mining products, and manufacturing in trade with China),
the structure of gross value added (shares of: agriculture, industry, manufacturing and services in gross value added),
financial openness (Chinn-Ito index, where the higher the value, the higher the capital account openness),
the size of international investment position (the sum of international investment position assets and liabilities to GDP ratio),
distance (between capitals of respective economies and Beijing),
12 Initially we considered 39 structural characteristics, but we deleted 5 of them because of a lot of missing data and next we deleted 16 of them because of a high correlation with other data from a similar group.
9
We implement block exogeneity to create partial exogeneity within our set of endogenous variables. We want domestic variables (y, p, i, s, r) to have no impact on Chinese variables (yChina, iChina) (see Table 2).
Table 2. Exogeneity block
yChina iChina y p i s r yChina iChina y 1 1 p 1 1 i 1 1 s 1 1 r 1 1
The value of 1 in row i and column j of the table means that variable i has no effect on variable j.
3.3 Bayesian model averaging
After computing responses of GDP in respective economies to a GDP impulse in China from GVAR and BVAR models, we attempt to explain them by the countries’ structural characteristics. In principle, we estimate the parameters of the following linear regression models:
�� � ���� � ��,
where �� is an impulse response (either from the GVAR or from the BVAR model), �� is a vector of structural characteristics for each economy, � is a vector of coefficients and �� is an error term.
As a dependent variable, we take the maximum effect within 20 quarters (5 years) after an impulse.
We consider as many as 18 (16-17 at the same time) structural characteristics12 within the following groups:
the structure of international trade (shares of: agriculture, fuels and mining products, and manufacturing in trade with China),
the structure of gross value added (shares of: agriculture, industry, manufacturing and services in gross value added),
financial openness (Chinn-Ito index, where the higher the value, the higher the capital account openness),
the size of international investment position (the sum of international investment position assets and liabilities to GDP ratio),
distance (between capitals of respective economies and Beijing),
12 Initially we considered 39 structural characteristics, but we deleted 5 of them because of a lot of missing data and next we deleted 16 of them because of a high correlation with other data from a similar group.
13NBP Working Paper No. 315
Chapter 4
11
4. Data
Our sample consists of 59 economies, where the 19 euro area countries are grouped into one economy. We use quarterly observations. The data span from 1995Q1 to 2017Q4.
The primary data source for GDP, price level (CPI), and short term interest rate was the IMF IFS. If for any country these data were not available we used the OECD MEI database. If the data were still not available we used national sources of data, and next annual data from the IMF WEO (with Chow-Lin interpolation). In cases of data on stock market indexes the primary data source was MSCI. If the data were not available we used the data sources listed above.
The data on real effective exchange rates (REER) for each country was taken from the Bank of International Settlements (BIS). The monthly data were aggregated to quarterly frequency. An increase in the index indicates an appreciation.
Detailed data sources for each country are presented in Table 3.
Real GDP, CPI, stock market indexes, and REER are 2010 indices (2010=100). These variables are in logarithms.
Oil prices were taken from FRED, as an average from Brent, West Texas Intermediate and Dubai Fateh indexes.
We used the World Economic Outlook database of the IMF for construction of the country-specific PPP-GDP weights. We took the average from 1995 to 2017 from the annual data on purchasing power parity in billions of international dollars.
The matrixes of trade flows were constructed on the basis of International Monetary Fund statistics, namely the Direction of Trade Statistics (DOTS). These are annual data, so they allow construction of the matrix of trade flows for each year separately and subsequent estimation of the model with time-varying link matrixes. It is important to note, that the data for Chinese Taipei as a reporting country were not available. The data for Chinese Taipei were available only as a counterpart country. Thus, we made the symmetry assumption here (meaning that, for example, the value of export and import from China to Taipei equals the value of export and import from Taipei to China). Also there were no data for South Africa from 1995 to 1997 and we decided to replace the empty spaces using data from 1998.
We took data on the structure of international trade from the WTO. The structure of gross value added, measures of trade openness, size, development and tariffs were taken from the World Bank. For financial openness and exchange rate regimes we used the updated versions of databases from Chinn and Ito (2006), and Klein and Shambaugh (2008), respectively. The size of international investment positions was taken from the IMF, distances were from the Distance Calculator webpage (www.distancecalculator.net) and the participation in global value chains – from the OECD.
For each variable we computed an average over the period 1995-2015. Due to the large number of missing observations in data on structural characteristics we removed Algeria, the euro area, Israel and Taiwan from the analysis in the second part of the study.
Narodowy Bank Polski14
12
Table 3. Data sources
Country real GDP price level stock price index REER short term interest rate 1 Algeria IMF WEO IMF IFS - BIS IMF IFS 2 Argentina IMF IFS + IMF WEO national MSCI + IMF IFS BIS IMF IFS 3 Australia OECD IMF IFS MSCI BIS IMF IFS 4 Brazil IMF IFS + IMF WEO IMF IFS MSCI BIS IMF IFS 5 Bulgaria IMF IFS + national IMF IFS - BIS IMF IFS 6 Canada IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 7 Chile OECD + national IMF IFS MSCI BIS IMF IFS + OECD 8 China national IMF IFS MSCI BIS national14 9 Chinese Taipei national national MSCI BIS national
10 Colombia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 11 Croatia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 12 Czech Republic IMF IFS + IMF WEO IMF IFS MSCI + OECD BIS IMF IFS 13 Denmark IMF IFS IMF IFS MSCI BIS IMF IFS 14 euro area IMF IFS IMF IFS + OECD MSCI BIS IMF IFS + OECD 15 Hong Kong SAR IMF IFS IMF IFS MSCI BIS IMF IFS 16 Hungary IMF IFS IMF IFS MSCI BIS OECD 17 Iceland IMF IFS + IMF WEO IMF IFS OECD + IMF IFS BIS IMF IFS 18 India OECD + IMF WEO IMF IFS MSCI BIS IMF IFS + national 19 Indonesia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 20 Israel IMF IFS IMF IFS MSCI BIS OECD 21 Japan IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 22 Korea IMF IFS IMF IFS MSCI BIS IMF IFS 23 Malaysia IMF IFS + national IMF IFS MSCI BIS IMF IFS 24 Mexico IMF IFS + OECD IMF IFS MSCI + OECD BIS IMF IFS 25 New Zealand IMF IFS IMF IFS MSCI BIS OECD 26 Norway IMF IFS IMF IFS MSCI BIS OECD 27 Peru IMF IFS + national IMF IFS MSCI + national BIS IMF IFS + national 28 Philippines IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 29 Poland IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 30 Romania IMF IFS IMF IFS - BIS IMF IFS 31 Russia IMF IFS IMF IFS MSCI + national BIS IMF IFS + OECD 32 Saudi Arabia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 33 Singapore IMF IFS + national IMF IFS MSCI BIS IMF IFS 34 South Africa IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 35 Sweden IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 36 Switzerland IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 37 Thailand IMF IFS IMF IFS MSCI BIS IMF IFS 38 Turkey IMF IFS IMF IFS MSCI BIS OECD + national 39 United Kingdom IMF IFS IMF IFS MSCI BIS IMF IFS 40 United States IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 41 Venezuela IMF IFS + IMF WEO IMF IFS + IMF WEO national BIS IMF IFS
14 We decided to use Lending Rate of Financial Institutions, 1 year or less from Macrobond for China.
12
Table 3. Data sources
Country real GDP price level stock price index REER short term interest rate 1 Algeria IMF WEO IMF IFS - BIS IMF IFS 2 Argentina IMF IFS + IMF WEO national MSCI + IMF IFS BIS IMF IFS 3 Australia OECD IMF IFS MSCI BIS IMF IFS 4 Brazil IMF IFS + IMF WEO IMF IFS MSCI BIS IMF IFS 5 Bulgaria IMF IFS + national IMF IFS - BIS IMF IFS 6 Canada IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 7 Chile OECD + national IMF IFS MSCI BIS IMF IFS + OECD 8 China national IMF IFS MSCI BIS national14 9 Chinese Taipei national national MSCI BIS national
10 Colombia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 11 Croatia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 12 Czech Republic IMF IFS + IMF WEO IMF IFS MSCI + OECD BIS IMF IFS 13 Denmark IMF IFS IMF IFS MSCI BIS IMF IFS 14 euro area IMF IFS IMF IFS + OECD MSCI BIS IMF IFS + OECD 15 Hong Kong SAR IMF IFS IMF IFS MSCI BIS IMF IFS 16 Hungary IMF IFS IMF IFS MSCI BIS OECD 17 Iceland IMF IFS + IMF WEO IMF IFS OECD + IMF IFS BIS IMF IFS 18 India OECD + IMF WEO IMF IFS MSCI BIS IMF IFS + national 19 Indonesia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 20 Israel IMF IFS IMF IFS MSCI BIS OECD 21 Japan IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 22 Korea IMF IFS IMF IFS MSCI BIS IMF IFS 23 Malaysia IMF IFS + national IMF IFS MSCI BIS IMF IFS 24 Mexico IMF IFS + OECD IMF IFS MSCI + OECD BIS IMF IFS 25 New Zealand IMF IFS IMF IFS MSCI BIS OECD 26 Norway IMF IFS IMF IFS MSCI BIS OECD 27 Peru IMF IFS + national IMF IFS MSCI + national BIS IMF IFS + national 28 Philippines IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 29 Poland IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 30 Romania IMF IFS IMF IFS - BIS IMF IFS 31 Russia IMF IFS IMF IFS MSCI + national BIS IMF IFS + OECD 32 Saudi Arabia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 33 Singapore IMF IFS + national IMF IFS MSCI BIS IMF IFS 34 South Africa IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 35 Sweden IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 36 Switzerland IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 37 Thailand IMF IFS IMF IFS MSCI BIS IMF IFS 38 Turkey IMF IFS IMF IFS MSCI BIS OECD + national 39 United Kingdom IMF IFS IMF IFS MSCI BIS IMF IFS 40 United States IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 41 Venezuela IMF IFS + IMF WEO IMF IFS + IMF WEO national BIS IMF IFS
14 We decided to use Lending Rate of Financial Institutions, 1 year or less from Macrobond for China.
10
exchange rate regime (according to the classification of Klein and Shambaugh (2010), where 1 indicates a fixed and 0 – a flexible exchange rate),
trade openness (the sum of exports and imports to GDP ratio), size (GDP in PPP, constant prices), development (GDP per capita in PPP, constant prices), participation in global value chains (GVC) – with China and total, tariffs (weighted average).
As we describe in the next section, we model 40 economies, so by including all the above mentioned variables in linear regression models at the same time we would be left with just above 20 degrees of freedom, which does not appear to be acceptable. We could estimate a model with each structural characteristic separately, but that would put us at risk of getting biased estimates (due to the omitted-variable bias).
Therefore, we decided to use the Bayesian model averaging approach, in which first we estimate linear regression models with different sets of independent variables, and then we average parameters over models, with weights proportional to posterior probabilities of respective models being correct (assuming one of them is correct).13
Formally, a model-averaged Bayesian point estimator is the following:
�[��|�] �����(�)�(��|�),
where �[��|�] is the posterior distribution of a parameter ��, ��(�)� is the posterior mean of the parameter �� under model ��, and �(��|�) is the posterior probability that �� is the correct model, given that one of the models considered is correct. For more details on Bayesian model averaging see, for example, Raftery et al. (2005).
When interpreting the results we focus on posterior inclusion probabilities of each variable being in the model.
Finally, it should be noted that, on top of using two variants of the dependent variable (either from the GVAR or from the BVAR models), we also try two sets of regressors: one with a weight in trade with China, and one with proxies for it based on the gravitational model of trade – GDP in PPP and distance. The latter specification does not directly include any deterministic relationship between responses and trade weights due to the construction of the GVAR model itself. Remaining variables are used in both sets.
In the baseline model we explain responses from the GVAR model by the set of variables including GDP in PPP and distance, while the remaining three variants make up a sensitivity analysis.
13 We used the bicreg function in the BMA package in R.
10
exchange rate regime (according to the classification of Klein and Shambaugh (2010), where 1 indicates a fixed and 0 – a flexible exchange rate),
trade openness (the sum of exports and imports to GDP ratio), size (GDP in PPP, constant prices), development (GDP per capita in PPP, constant prices), participation in global value chains (GVC) – with China and total, tariffs (weighted average).
As we describe in the next section, we model 40 economies, so by including all the above mentioned variables in linear regression models at the same time we would be left with just above 20 degrees of freedom, which does not appear to be acceptable. We could estimate a model with each structural characteristic separately, but that would put us at risk of getting biased estimates (due to the omitted-variable bias).
Therefore, we decided to use the Bayesian model averaging approach, in which first we estimate linear regression models with different sets of independent variables, and then we average parameters over models, with weights proportional to posterior probabilities of respective models being correct (assuming one of them is correct).13
Formally, a model-averaged Bayesian point estimator is the following:
�[��|�] �����(�)�(��|�),
where �[��|�] is the posterior distribution of a parameter ��, ��(�)� is the posterior mean of the parameter �� under model ��, and �(��|�) is the posterior probability that �� is the correct model, given that one of the models considered is correct. For more details on Bayesian model averaging see, for example, Raftery et al. (2005).
When interpreting the results we focus on posterior inclusion probabilities of each variable being in the model.
Finally, it should be noted that, on top of using two variants of the dependent variable (either from the GVAR or from the BVAR models), we also try two sets of regressors: one with a weight in trade with China, and one with proxies for it based on the gravitational model of trade – GDP in PPP and distance. The latter specification does not directly include any deterministic relationship between responses and trade weights due to the construction of the GVAR model itself. Remaining variables are used in both sets.
In the baseline model we explain responses from the GVAR model by the set of variables including GDP in PPP and distance, while the remaining three variants make up a sensitivity analysis.
13 We used the bicreg function in the BMA package in R.
15NBP Working Paper No. 315
Chapter 5
13
5. Empirical results and discussion
5.1.The output spillover effects from China to Southeast Asia and Oceania
In this section we describe the influence of negative demand shock in China on a set of economies. We report output elasticities for specific countries following a one percent negative GDP shock in China.
Figure 1 presents the negative demand shock in China from the GVAR model, which is equal to 1 p.p. decrease in Chinese GDP on impact, and an average response of the whole global economy and an average response of Southeast Asia and Oceania.
The negative demand shock in China is standardized to 1 p.p. (Fig.1A).The shock is permanent. The presented generalized impulse response functions are bootstrap mean estimates with the associated 90 percent bootstrap error bounds.
The maximum response of the whole global economy to 1 p.p. negative demand shock in China is equal to -0.157 p.p. after 7 quarters. The maximum response of Southeast Asia and Oceania to 1 p.p. negative demand shock in China is -0.262 p.p. after 4 quarters. Thus, the response of neighbouring countries is much stronger and faster than the average response of other economies.
Figure 1. Impulse response functions from the GVAR model
A. Negative demand shock in China B. The response of the global output to real GDP shock in China
C. The response of Southeast Asia and Oceania to real GDP shock in China
Note: bootstrap mean estimates with 90 percent bootstrap error bounds
Concerning Southeast Asia and Oceania, according to the results from the GVAR model, the strongest response of domestic GDP to negative GDP shock in China is observed in Chinese Taipei (-0.505 p.p. after 6 quarters). Next we list the countries from most to least affected: the strongest response of domestic GDP is observed in Singapore (-0.430 p.p. after 4 quarters), Indonesia (-0.383 p.p. after 8 quarters), Thailand (-0.317 p.p. after 3 quarters), Hong Kong (-0.280 p.p. after 3 quarters), Japan (-0.269 p.p. after 9 quarters), Malaysia (-0.259 p.p. after 4 quarters), Philippines (-0.246 p.p. after 5 quarters), and South Korea (-0.188 p.p. after 2 quarters). Hong Kong, Singapore and Taipei have strong financial linkages with China (see Figure 5). It is worth noting that Chinese Taipei is a smaller financial centre than Hong Kong and Singapore, but it has greater trade links with the mainland. This may be the reason for its strong GDP reaction. Indonesia is a major exporter of coal and industrial metals to China. Whereas Thailand, Malaysia, the Philippines and South Korea are major exporters of industrial supplies (includes base metals) and capital goods to China. Japan is the main Chinese export market.
A similar result is found by Inoue et al. (2015), who found that negative Chinese GDP shock impacts commodity exporters, like Indonesia, to the greatest extent, and also export
Narodowy Bank Polski16
14
dependent economies, like Japan, Malaysia, Singapore and Thailand. They find a counterintuitive reaction for Philippines.
Within the studied region the weakest reaction is observed in New Zealand (-0.144 p.p. after 6 quarters) and Australia (-0.099 p.p. on impact). It may be a bit surprising, because Australia has about a third of its exports headed for China (see Figure 13).
The output reaction is statistically significant in Chinese Taipei, Hong Kong, Japan and South Korea (see Figure 2).
The obtained results are in line with Cashin et al. (2016), who reported that negative output shock has a large and statistically significant impact on all ASEAN-5 countries (except for the Philippines), with output elasticities ranging between -0.23 and -0.35 percent. Also Bussière et al. (2012) show that Asian countries benefit the most from a positive shock to Chinese imports. They reported that a one-standard-error shock to Chinese imports, which is an increase of 1.9% at the time of the impact, has an economically significant effect on other Asian countries, with real output increase in Korea, Singapore and Thailand by 0.4% after one year, and a lower but still considerable real output increase in Japan and New Zealand by 0.2%.
Figure 2. The output response of the chosen economies to negative GDP shock in China – results from the GVAR model
A. Chinese Taipei B. Hong Kong
C. Japan D. South Korea
17NBP Working Paper No. 315
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5.2.Robustness analysis - the results from BVAR models
In order to check the robustness of our results we estimate a series of BVAR models. Specification of the models is described in Section 2.2. We check whether the difference between the impulse response functions (IRF) obtained from the GVAR model and the IRF obtained from the BVAR model for each country separately is statistically significant. To do so we subtract the IRFs and the confidence bands obtained from the two models. The results are presented in Table 4. It appears that there are considerable differences between maximum responses and maximum response horizons across the economies between the two types of models.
We find out that there are statistically significant differences between the impulse response functions for 8 out of the 37 analysed economies, that is for 22% of analysed economies (8th column of Table 4). However, if we omit the first quarter (the reaction on impact), for the following quarters the difference between the reaction obtained from the GVAR model and the reaction obtained from the BVAR model is statistically different for 4 out of 37 analysed economies, that is for 11% of the analysed economies (9th column of Table 4). This is a good result, that seem to indicate that the results from BVAR models confirm the results from the GVAR model.
Nevertheless the comparison of the two models is a bit problematic and should be analysed with caution. First, the confidence bands are quite wide (see Figure 3). Second, the GDP shock is different within the two models (compare, for example, Figure 1A and Figure 4). The shock is very similar for each of the 37 estimated BVAR models (see Figure 4). But the Chinese GDP shocks in BVAR model are much stronger than the Chinese GDP shock in GVAR model. Although the shocks are equal on impact, we standardise them in the sense that they are equal to 1 p.p. on impact.
For example, for Australia the Chinese GDP shock stabilises at the level of 1.56 p.p. in the BVAR model, whereas the shock stabilises at the level of 1.01 p.p. in the GVAR model. Note that the shocks in both specifications are permanent. The maximum response of domestic GDP in Australia is stronger in the BVAR model (-0.17 p.p.) than in the GVAR model (-0.99 p.p.).
Therefore, the differences between the IRF obtained from the two models do not necessarily stem from a different reaction of domestic GDP, but may be the result of differences in the trajectories of Chinese GDP shock.
Concerning Southeast Asia and Oceania, according to the results from the BVAR models, the strongest response of domestic GDP to negative GDP shock in China is observed in Chinese Taipei (-1.40 p.p.), and next in Singapore (-1.03 p.p.), Thailand (-0.85 p.p.), Malaysia (-0.57 p.p.), Indonesia (-0.48 p.p.), Hong Kong (-0.26 p.p.), and Australia (-0.17 p.p.). According to the results the IRFs from the BVAR model are statistically significant on impact. If we omit the first quarter, the GDP reaction becomes statistically insignificant for Hong Kong, Japan, New Zealand, the Philippines, and South Korea. In Japan the reaction is very weak. In the Philippines we find a counterintuitive positive reaction of domestic GDP to negative Chinese GDP shock.
Thus, both the GVAR and BVAR models show that Chinese Taipei is the most affected economy by negative GDP shock in China. The results for Japan from the GVAR model and
Narodowy Bank Polski18
16
from the BVAR model are very different. Both specifications point to very weak and statistically insignificant output reaction in New Zealand.
Lastly, it is important to notice that both the results from the GVAR model and the results from the BVAR model show that the United States are quite severely affected by the slowdown in the Chinese economy. The maximum reaction of domestic GDP in the United States is equal to 0.2 p.p. after 11 quarters according to the GVAR model or 0.36 p.p. after 3 quarters according to the BVAR model.
19NBP Working Paper No. 315
Empirical results and discussion
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Figure 3. The cumulative output response of the chosen economies to negative GDP shock in China – results from the BVAR models
A. Australia B. Chinese Taipei
C. Indonesia D. Malaysia
E. Singapore F. Thailand
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Figure 4. The cumulative Chinese real GDP response to Chinese real GDP shock – results from the BVAR models for particular economies
A. Australia B. Chinese Taipei
C. Indonesia D. Malaysia
E. Singapore F. Thailand
21NBP Working Paper No. 315
Empirical results and discussion
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Table 4. Comparison of the results from GVAR and BVAR models
GVAR BVAR
difference
difference without first
quarter max
response
max response horizon
stat. significance
max response
max response horizon
stat. significance
Algieria -0.0004 16 no -0.0007 2 yes no no
Argentina -0.0039 7 no -0.0133 4 yes no no
Australia -0.0010 0 no -0.0017 20 yes no no
Brazil -0.0048 13 yes -0.0060 20 yes no no
Canada -0.0003 6 no -0.0034 5 yes yes no
Chile -0.0005 3 no 0.0020 0 yes no no
Chinese Taipei -0.0050 6 yes -0.0140 20 yes no no
Colombia -0.0014 12 no -0.0007 20 no no no
Croatia -0.0008 17 no -0.0108 20 yes yes yes
Czech Republic -0.0012 5 no -0.0066 20 yes no no
Denmark -0.0011 7 no -0.0002 7 no no no
euro area -0.0013 4 yes -0.0025 20 yes no no
Hong Kong -0.0028 3 yes -0.0026 4 no no no
Hungary -0.0013 11 no 0.0005 0 no no no
Iceland -0.0035 0 yes -0.0059 20 yes no no
India -0.0024 11 yes -0.0001 4 no yes no
Indonesia -0.0038 8 no -0.0048 11 yes no no
Israel -0.0017 12 no -0.0031 0 yes no no
Japan -0.0024 6 yes -0.0001 0 no no no
Korea -0.0019 2 yes -0.0017 20 no no no
Malaysia -0.0026 4 no -0.0057 6 yes no no
Mexico 0.0013 13 no 0.0098 0 yes yes no
New Zealand -0.0011 6 no 0.0000 9 no yes yes
Norway -0.0001 14 no -0.0024 20 no no no
Peru -0.0002 11 no 0.0000 5 yes yes no
Philippines -0.0025 5 no 0.0007 0 no no no
Poland 0.0005 7 no 0.0006 7 no no no
Romania -0.0018 7 no -0.0017 3 no no no
Russia -0.0051 10 yes -0.0157 20 yes yes yes
Saudi Arabia -0.0069 20 yes -0.0023 4 no no no
Singapore -0.0043 4 no -0.0103 20 yes no no
South Africa -0.0005 10 no -0.0042 20 yes no no
Sweden -0.0007 2 no -0.0017 0 yes no no
Switzerland -0.0011 7 no -0.0023 6 yes no no
Thailand -0.0032 3 no -0.0085 7 yes no no
United Kingdom -0.0007 3 no -0.0032 3 yes yes yes
United States -0.0021 11 yes -0.0036 3 yes no no
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5.3 Factors differentiating responses to a China GDP impulse
Figure (5) shows posterior inclusion probabilities of each structural characteristic being in the model from the baseline BMA analysis (based on results from GVAR, without the weight in trade with China among regressors).15 They are highest for the exchange rate regime (94.5%), GDP in PPP (98.0%), the share of manufacturing in international trade (81.1%), the size of international investment position (78.5%) and the share of manufacturing in GVA (80.0%).
Figure (6) shows the results in a different way. Rows correspond to variables and columns correspond to models. The wider the column, the higher the probability of a given model. Models are ordered so that the first one has the highest probability. If a variable enters a given model, it is in red (a positive impact) or in blue (a negative impact) in a cell. Otherwise – it is in white. When interpreting the results it should be noted that responses are to a negative impulse. The relationship between the strength of the response to a China GDP impulse is negatively related with the exchange rate regime (the less flexible the exchange rate, the stronger the response), GDP in PPP and the size of international investment position, and positively related with the share of manufacturing in international trade.
Figures (7)-(10) show the results from the remaining variants of the BMA analysis (responses from GVAR with the weight in trade with China among regressors, responses from BVARs with or without the weight in trade). Some of them give a high probability of being in the model for participation in GVC with China (a negative relationship), and measures of trade and financial openness (a negative and a positive relationship, respectively).
Averaging over the results above, among the most important factors differentiating responses to a China GDP impulse are: the exchange rate regime, the structure of the economy and its size, with more rigid exchange rates, higher shares of manufacturing in GVA and larger sizes of the economy associated with stronger spillovers.
The economies with floating exchange rates should be more resistant to a decrease in China’s GDP, because if it leads to a decrease in domestic GDP, then domestic currency should depreciate leading to a later increase in domestic GDP.
The share of industry in China’s value added was about 41% in 2015, whereas the average for all other countries in our sample was 31%, similarly the share of manufacturing in China’s value added was about 83% in 2015, whereas the average for all other countries in our sample was 67%. It means that manufacturing is the most important component of China’s trade, thus, the slowdown of Chinese economy transmits more strongly to economies with higher shares of manufacturing in GVA.
It appears that the size of economy correlates with the weight in trade with China. It means that China trades more with larger economies. Therefore larger economies are more affected with negative demand shocks from China.
15Table 9 expands abbreviations in figures (5)-(10).
20
5.3 Factors differentiating responses to a China GDP impulse
Figure (5) shows posterior inclusion probabilities of each structural characteristic being in the model from the baseline BMA analysis (based on results from GVAR, without the weight in trade with China among regressors).15 They are highest for the exchange rate regime (94.5%), GDP in PPP (98.0%), the share of manufacturing in international trade (81.1%), the size of international investment position (78.5%) and the share of manufacturing in GVA (80.0%).
Figure (6) shows the results in a different way. Rows correspond to variables and columns correspond to models. The wider the column, the higher the probability of a given model. Models are ordered so that the first one has the highest probability. If a variable enters a given model, it is in red (a positive impact) or in blue (a negative impact) in a cell. Otherwise – it is in white. When interpreting the results it should be noted that responses are to a negative impulse. The relationship between the strength of the response to a China GDP impulse is negatively related with the exchange rate regime (the less flexible the exchange rate, the stronger the response), GDP in PPP and the size of international investment position, and positively related with the share of manufacturing in international trade.
Figures (7)-(10) show the results from the remaining variants of the BMA analysis (responses from GVAR with the weight in trade with China among regressors, responses from BVARs with or without the weight in trade). Some of them give a high probability of being in the model for participation in GVC with China (a negative relationship), and measures of trade and financial openness (a negative and a positive relationship, respectively).
Averaging over the results above, among the most important factors differentiating responses to a China GDP impulse are: the exchange rate regime, the structure of the economy and its size, with more rigid exchange rates, higher shares of manufacturing in GVA and larger sizes of the economy associated with stronger spillovers.
The economies with floating exchange rates should be more resistant to a decrease in China’s GDP, because if it leads to a decrease in domestic GDP, then domestic currency should depreciate leading to a later increase in domestic GDP.
The share of industry in China’s value added was about 41% in 2015, whereas the average for all other countries in our sample was 31%, similarly the share of manufacturing in China’s value added was about 83% in 2015, whereas the average for all other countries in our sample was 67%. It means that manufacturing is the most important component of China’s trade, thus, the slowdown of Chinese economy transmits more strongly to economies with higher shares of manufacturing in GVA.
It appears that the size of economy correlates with the weight in trade with China. It means that China trades more with larger economies. Therefore larger economies are more affected with negative demand shocks from China.
15Table 9 expands abbreviations in figures (5)-(10).
12
Table 3. Data sources
Country real GDP price level stock price index REER short term interest rate 1 Algeria IMF WEO IMF IFS - BIS IMF IFS 2 Argentina IMF IFS + IMF WEO national MSCI + IMF IFS BIS IMF IFS 3 Australia OECD IMF IFS MSCI BIS IMF IFS 4 Brazil IMF IFS + IMF WEO IMF IFS MSCI BIS IMF IFS 5 Bulgaria IMF IFS + national IMF IFS - BIS IMF IFS 6 Canada IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 7 Chile OECD + national IMF IFS MSCI BIS IMF IFS + OECD 8 China national IMF IFS MSCI BIS national14 9 Chinese Taipei national national MSCI BIS national
10 Colombia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 11 Croatia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 12 Czech Republic IMF IFS + IMF WEO IMF IFS MSCI + OECD BIS IMF IFS 13 Denmark IMF IFS IMF IFS MSCI BIS IMF IFS 14 euro area IMF IFS IMF IFS + OECD MSCI BIS IMF IFS + OECD 15 Hong Kong SAR IMF IFS IMF IFS MSCI BIS IMF IFS 16 Hungary IMF IFS IMF IFS MSCI BIS OECD 17 Iceland IMF IFS + IMF WEO IMF IFS OECD + IMF IFS BIS IMF IFS 18 India OECD + IMF WEO IMF IFS MSCI BIS IMF IFS + national 19 Indonesia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 20 Israel IMF IFS IMF IFS MSCI BIS OECD 21 Japan IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 22 Korea IMF IFS IMF IFS MSCI BIS IMF IFS 23 Malaysia IMF IFS + national IMF IFS MSCI BIS IMF IFS 24 Mexico IMF IFS + OECD IMF IFS MSCI + OECD BIS IMF IFS 25 New Zealand IMF IFS IMF IFS MSCI BIS OECD 26 Norway IMF IFS IMF IFS MSCI BIS OECD 27 Peru IMF IFS + national IMF IFS MSCI + national BIS IMF IFS + national 28 Philippines IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 29 Poland IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 30 Romania IMF IFS IMF IFS - BIS IMF IFS 31 Russia IMF IFS IMF IFS MSCI + national BIS IMF IFS + OECD 32 Saudi Arabia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 33 Singapore IMF IFS + national IMF IFS MSCI BIS IMF IFS 34 South Africa IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 35 Sweden IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 36 Switzerland IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 37 Thailand IMF IFS IMF IFS MSCI BIS IMF IFS 38 Turkey IMF IFS IMF IFS MSCI BIS OECD + national 39 United Kingdom IMF IFS IMF IFS MSCI BIS IMF IFS 40 United States IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 41 Venezuela IMF IFS + IMF WEO IMF IFS + IMF WEO national BIS IMF IFS
14 We decided to use Lending Rate of Financial Institutions, 1 year or less from Macrobond for China.
12
Table 3. Data sources
Country real GDP price level stock price index REER short term interest rate 1 Algeria IMF WEO IMF IFS - BIS IMF IFS 2 Argentina IMF IFS + IMF WEO national MSCI + IMF IFS BIS IMF IFS 3 Australia OECD IMF IFS MSCI BIS IMF IFS 4 Brazil IMF IFS + IMF WEO IMF IFS MSCI BIS IMF IFS 5 Bulgaria IMF IFS + national IMF IFS - BIS IMF IFS 6 Canada IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 7 Chile OECD + national IMF IFS MSCI BIS IMF IFS + OECD 8 China national IMF IFS MSCI BIS national14 9 Chinese Taipei national national MSCI BIS national
10 Colombia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 11 Croatia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 12 Czech Republic IMF IFS + IMF WEO IMF IFS MSCI + OECD BIS IMF IFS 13 Denmark IMF IFS IMF IFS MSCI BIS IMF IFS 14 euro area IMF IFS IMF IFS + OECD MSCI BIS IMF IFS + OECD 15 Hong Kong SAR IMF IFS IMF IFS MSCI BIS IMF IFS 16 Hungary IMF IFS IMF IFS MSCI BIS OECD 17 Iceland IMF IFS + IMF WEO IMF IFS OECD + IMF IFS BIS IMF IFS 18 India OECD + IMF WEO IMF IFS MSCI BIS IMF IFS + national 19 Indonesia IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 20 Israel IMF IFS IMF IFS MSCI BIS OECD 21 Japan IMF IFS + OECD IMF IFS MSCI BIS IMF IFS + OECD 22 Korea IMF IFS IMF IFS MSCI BIS IMF IFS 23 Malaysia IMF IFS + national IMF IFS MSCI BIS IMF IFS 24 Mexico IMF IFS + OECD IMF IFS MSCI + OECD BIS IMF IFS 25 New Zealand IMF IFS IMF IFS MSCI BIS OECD 26 Norway IMF IFS IMF IFS MSCI BIS OECD 27 Peru IMF IFS + national IMF IFS MSCI + national BIS IMF IFS + national 28 Philippines IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 29 Poland IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 30 Romania IMF IFS IMF IFS - BIS IMF IFS 31 Russia IMF IFS IMF IFS MSCI + national BIS IMF IFS + OECD 32 Saudi Arabia IMF IFS + IMF WEO IMF IFS - BIS IMF IFS + national 33 Singapore IMF IFS + national IMF IFS MSCI BIS IMF IFS 34 South Africa IMF IFS + OECD IMF IFS MSCI BIS IMF IFS 35 Sweden IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 36 Switzerland IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 37 Thailand IMF IFS IMF IFS MSCI BIS IMF IFS 38 Turkey IMF IFS IMF IFS MSCI BIS OECD + national 39 United Kingdom IMF IFS IMF IFS MSCI BIS IMF IFS 40 United States IMF IFS IMF IFS MSCI BIS IMF IFS + OECD 41 Venezuela IMF IFS + IMF WEO IMF IFS + IMF WEO national BIS IMF IFS
14 We decided to use Lending Rate of Financial Institutions, 1 year or less from Macrobond for China.
23NBP Working Paper No. 315
Empirical results and discussion
21
Figure 5. Posterior inclusion probabilities – baseline
Note: Abbreviations are explained in Table 9.
Figure 6. Graphical results of BMA analysis – baseline
Note: Abbreviations are explained in Table 9.
0102030405060708090
100
Narodowy Bank Polski24
Conclusions
22
Conclusions
In this study we develop the GVAR model to investigate how a slowdown in Chinese economy may affect other economies. We use a novel data set that spans from1995Q1 to 2017Q4 and covers 59 economies. We apply time-varying trade weights. Also, we estimate a set of BVAR models to check the robustness of the results.
We decided to concentrate on Southeast Asia and Oceania, because this region seems to be the most dependent from China. Indeed, our results show that the maximum response of the whole global economy to 1 p.p. negative demand shock in China is equal to -0.157 p.p. after 7 quarters, while the maximum response of Southeast Asia and Oceania is -0.262 p.p. after 4 quarters. Thus, the response of neighbouring countries is much stronger and faster than the average response of other economies.
According to our results from both the GVAR and the BVAR models Chinese Taipei is the most affected economy by negative GDP shock in China. Also Indonesia, Singapore, Hong Kong, Thailand, Malaysia are strongly affected. Australia seems to be also affected but to a lesser degree. We find a weak GDP response to China GDP shock for New Zealand and the Philippines. The response of GDP in South Korea and Japan is quite significant, but only according to the results from the GVAR model.
Thus, our results suggest that there exist strong economic linkages between the Asian economies. Busserie et al. (2012), for example, also confirm the presence of a strong Asian business cycle and an increased vertical specialisation in international trade among Asian economies.
The results from the BVAR models seem to confirm the results from the GVAR model. We find out that there are statistically significant differences between the impulse response functions in 22% of analysed economies, but if we omit the first quarter the differences appear only in 11% of the analysed economies. But there are considerable differences between maximum responses and maximum response horizons across the economies between the two types of models.
In the final step of our analysis, we used Bayesian model averaging in order to check how structural characteristics may explain the differences in the response of the analysed economies to a negative Chinese GDP shock. We found that spillovers are stronger to economies with less flexible exchange rates, a higher share of manufacturing in gross value added and to economies which are larger.
25NBP Working Paper No. 315
References
23
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Appendix
Appendix
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Appendix
Varia
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cal V
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Swed
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Thai
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Unite
d Ki
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mUn
ited
Stat
es
yAD
F-3
.45
-0.5
6305
-2.0
2626
-2.1
4632
0.13
8586
-1.9
8606
-2.1
2238
-1.1
8316
-2.3
2435
-2.2
486
-1.4
2542
-2.2
0063
-2.2
3438
-2.1
8847
-2.7
3636
-1.4
8887
-1.7
4949
-1.9
7945
-2.2
5527
-2.6
2295
-3.0
7139
-2.1
8634
-3.8
4153
-1.6
7592
-1.6
6425
-3.2
5315
-1.7
6482
-1.8
5018
-2.5
314
-1.9
7509
-1.1
0124
-2.5
7668
-2.5
4108
-1.0
4857
-2.0
7035
-2.7
7041
-2.4
4147
-2.1
7073
-2.4
1915
yW
S-3
.24
-1.0
017
-2.2
7424
0.12
1781
-0.9
0601
-1.5
8285
-2.0
6708
-1.5
8907
-2.0
5806
-1.3
7453
-0.5
975
-2.4
5512
-1.2
4634
-1.7
8221
-2.7
9334
-1.6
579
-1.6
0462
-1.5
2267
-1.6
2848
-2.6
0118
-2.9
5365
-2.0
1961
-4.0
2447
-1.9
5494
-1.7
111
-0.1
4353
-0.9
0416
-1.4
6791
-1.2
0272
-1.5
8139
-1.2
6933
-1.9
6607
-2.7
6898
-1.4
623
-2.0
0414
-3.0
0163
-1.9
9187
-1.7
949
-0.8
4855
DyAD
F-2
.89
-1.6
0831
-5.3
7323
-6.0
6097
-3.1
7369
-4.9
6792
-5.4
6225
-2.3
806
-6.1
2263
-4.4
3764
-5.0
0561
-3.9
7673
-5.6
7412
-3.9
16-4
.558
37-4
.407
73-7
.135
83-5
.518
71-4
.930
39-4
.957
17-6
.191
26-5
.659
32-5
.433
41-6
.840
58-6
.642
97-8
.222
01-5
.336
76-5
.314
93-7
.490
37-3
.401
24-4
.560
85-7
.928
85-6
.252
84-4
.150
32-4
.917
35-4
.516
67-6
.092
24-4
.827
14-4
.029
52Dy
WS
-2.5
5-1
.672
19-5
.347
2-6
.007
22-3
.334
25-5
.032
52-5
.447
03-2
.531
05-6
.222
17-4
.617
84-5
.160
47-4
.168
2-5
.834
26-4
.107
21-4
.637
86-4
.510
69-7
.308
61-5
.687
4-5
.113
66-4
.928
58-6
.171
38-5
.812
29-5
.407
13-6
.684
66-6
.796
18-8
.162
51-5
.496
61-5
.493
74-7
.397
77-3
.584
49-4
.746
3-8
.098
17-6
.116
47-4
.308
7-5
.208
56-4
.698
85-6
.274
75-5
.041
7-4
.219
66p
AD
F-2
.89
0.09
852.
5678
14-0
.452
28-0
.676
95-0
.746
18-1
.375
480.
0550
21-0
.712
34-3
.530
1-2
.357
74-3
.033
64-2
.580
19-1
.527
43-0
.144
3-4
.227
48-0
.480
73-0
.085
39-2
.722
07-4
.022
78-1
.178
08-3
.140
26-0
.572
86-1
.166
59-0
.580
66-0
.186
74-1
.983
04-2
.407
45-3
.008
99-4
.959
23-3
.201
770.
2435
68-0
.040
73-0
.422
-0.2
4165
-1.7
9369
-1.8
5083
0.65
0803
-1.4
3838
p
WS
-2.5
51.
5272
671.
2677
71.
6014
981.
4676
581.
8820
271.
6756
581.
0282
231.
7337
451.
4448
430.
5889
241.
3437
590.
9904
141.
1377
82-0
.317
711.
7778
580.
2482
21.
6923
641.
3647
041.
8070
59-1
.477
851.
8480
452.
2141
941.
5976
451.
2330
682.
5963
51.
5187
011.
1951
061.
5732
70.
7019
322.
1888
6-0
.327
760.
2725
61.
3516
740.
8018
280.
3813
811.
3842
791.
2451
141.
6612
79Dp
ADF
-2.8
9-5
.290
41-4
.396
9-5
.280
21-5
.637
08-7
.311
28-4
.900
53-3
.664
07-7
.366
44-2
.846
07-3
.096
2-3
.010
07-4
.278
04-4
.191
37-3
.383
36-3
.612
15-3
.607
85-5
.449
49-5
.356
85-3
.945
18-5
.378
8-5
.062
71-6
.636
6-4
.833
35-5
.137
15-7
.046
61-3
.274
88-4
.500
15-3
.134
15-2
.842
4-5
.103
3-2
.501
17-3
.744
87-4
.678
26-4
.843
7-5
.103
04-5
.101
48-4
.451
16-6
.208
69Dp
WS
-2.5
5-2
.893
22-4
.487
78-5
.075
47-2
.987
63-7
.504
34-4
.296
5-2
.607
52-7
.463
47-0
.140
59-3
.105
76-2
.967
81-4
.418
33-4
.322
19-3
.013
760.
6855
82-3
.678
16-5
.385
76-5
.572
33-3
.973
84-5
.487
72-5
.041
48-6
.793
163.
8357
18-5
.320
34-7
.235
6-2
.554
35-4
.226
88-0
.117
49-3
.025
84-3
.288
36-2
.622
65-3
.936
55-4
.856
21-4
.988
38-5
.158
58-4
.862
48-4
.601
72-6
.386
63s
ADF
-2.8
90.
0131
04-1
.188
78-1
.299
59-1
.514
28-0
.368
04-0
.759
35-1
.784
08-0
.815
-1.1
725
-1.5
6932
-0.8
4737
-2.6
321
-0.5
0826
-2.2
7994
-0.5
0826
-0.4
8108
-2.0
3729
-1.8
146
-0.7
6681
-0.9
2199
-1.7
7272
0.23
0701
-1.0
9801
-0.6
7341
-0.4
3835
-1.7
7494
-1.9
319
-1.1
3037
-0.1
7258
-1.4
497
-1.9
8057
-0.6
4032
-1.3
173
-1.0
5712
s W
S-2
.55
0.37
9242
1.09
1109
0.38
7863
0.70
2615
-0.1
0558
-1.1
5689
-2.0
2303
-0.3
7095
-0.6
0665
-0.6
6779
-0.2
0912
0.96
0474
-0.2
7894
-2.3
9764
-0.2
7894
-0.4
7197
-0.0
4685
-2.0
4365
-1.0
0304
-1.2
5452
0.96
4628
1.40
0071
-0.1
4508
-0.1
8755
-0.9
069
-0.0
9762
-0.8
2941
-1.2
1864
1.12
6884
0.19
5668
0.55
7214
-0.9
5899
1.07
7303
1.18
6055
DsAD
F-2
.89
-6.6
2605
-6.0
404
-6.6
878
-6.8
4568
-5.7
4954
-5.9
9187
-7.1
054
-5.3
6357
-5.8
5117
-5.8
2504
-6.3
1593
-3.9
332
-6.6
6297
-3.5
8237
-6.6
6297
-6.5
3629
-5.7
601
-6.0
3378
-6.1
6184
-5.2
941
-6.2
7274
-5.8
2419
-6.2
9015
-6.4
7704
-6.1
1065
-3.9
3285
-5.9
9211
-5.8
0818
-7.0
9499
-5.5
4825
-5.3
6932
-5.7
7242
-5.3
7239
-5.8
9565
DsW
S-2
.55
-6.7
9067
-6.1
0502
-6.8
7144
-7.0
0219
-5.8
8097
-6.1
7619
-7.0
3048
-5.4
4455
-5.8
17-6
.003
29-6
.439
5-3
.735
9-6
.795
52-3
.779
23-6
.795
52-6
.700
61-5
.773
2-6
.217
42-6
.347
09-5
.463
92-6
.153
08-5
.948
49-6
.454
09-6
.560
96-6
.245
41-3
.653
45-6
.158
43-5
.991
34-7
.284
81-5
.673
22-5
.472
29-5
.947
85-5
.344
77-5
.921
57r
ADF
-2.8
9-0
.924
96-1
.339
95-1
.922
67-2
.066
26-1
.567
62-2
.626
44-1
.603
36-1
.583
16-1
.948
56-1
.494
4-1
.716
18-2
.581
02-2
.285
94-1
.171
07-1
.839
49-1
.493
26-3
.443
92-2
.766
29-1
.462
15-1
.629
97-2
.943
46-2
.456
63-2
.420
62-2
.011
87-1
.869
59-2
.357
86-1
.282
97-2
.987
69-2
.081
24-1
.981
4-1
.483
03-1
.090
8-2
.459
28-2
.003
11-2
.194
88-2
.720
97-1
.563
22-2
.012
18r
WS
-2.5
5-1
.012
7-1
.129
71-1
.802
58-2
.223
9-1
.740
63-2
.842
8-0
.485
34-0
.436
03-2
.182
95-1
.578
23-0
.077
81-2
.681
37-2
.074
76-1
.607
38-0
.816
13-1
.811
87-3
.566
23-2
.737
79-1
.782
17-1
.071
07-2
.972
86-1
.987
57-0
.683
3-2
.247
1-2
.116
91-2
.527
86-1
.480
67-1
.824
1-1
.303
76-1
.786
71-1
.764
11-1
.481
93-2
.120
28-1
.093
47-2
.056
64-2
.834
05-1
.776
05-2
.069
72Dr
ADF
-2.8
9-7
.878
14-6
.871
93-6
.587
14-6
.640
34-6
.582
26-7
.632
52-6
.888
49-6
.374
82-7
.148
97-7
.548
17-6
.826
26-5
.935
03-5
.417
26-5
.709
06-8
.787
69-5
.283
32-5
.032
61-6
.602
02-6
.610
01-4
.466
49-7
.359
47-6
.476
73-4
.376
79-5
.916
07-6
.466
03-6
.153
93-6
.924
76-7
.244
21-5
.978
38-6
.587
8-6
.400
7-4
.600
24-6
.310
23-5
.988
86-6
.644
36-7
.129
08-5
.418
52-6
.197
62Dr
WS
-2.5
5-7
.371
52-7
.061
16-6
.766
69-6
.828
75-6
.739
82-7
.610
52-7
.074
49-6
.377
7-7
.306
91-7
.723
56-7
.056
78-5
.949
81-5
.594
74-5
.885
71-8
.682
55-5
.464
22-4
.697
9-6
.831
81-6
.796
91-4
.645
13-7
.544
36-6
.645
52-4
.489
79-6
.089
04-6
.649
61-6
.341
67-7
.106
96-7
.423
44-5
.951
84-6
.042
8-6
.520
38-4
.777
28-6
.494
39-5
.842
26-6
.799
86-7
.352
41-5
.556
19-6
.246
96i
ADF
-2.8
9-2
.933
94-2
.943
13-1
.605
37-4
.221
45-2
.132
4-1
.497
36-4
.271
95-1
.618
66-2
.335
65-3
.670
2-1
.279
25-2
.409
01-2
.462
11-1
.705
58-3
.631
69-2
.465
85-4
.575
2-3
.407
61-1
.557
51-2
.098
65-1
.870
23-2
.211
05-5
.042
-1.5
9636
-2.2
5573
-2.2
5715
-1.3
2991
-2.0
9339
-1.1
3037
-4.3
3642
-1.7
4022
-2.4
2891
-2.0
4962
-2.9
6827
-2.1
3134
-2.8
6619
-1.2
5416
-2.2
4472
i W
S-2
.55
-0.1
1843
-3.1
5384
-0.9
7933
0.25
6774
-1.4
4027
-1.0
8907
-0.9
0666
-0.5
7756
-1.3
6021
-0.8
6615
-0.7
7861
-1.4
108
-1.3
4762
-1.3
2901
0.95
0042
-2.6
8835
-3.4
578
-3.6
3503
0.53
3674
1.53
3902
-0.6
2316
-2.2
7817
1.29
4027
-0.9
9564
-2.3
4347
-2.0
9563
-0.9
8816
-0.2
6435
-1.2
153
2.68
7955
-1.2
999
-2.3
8283
-2.1
5502
-1.0
7977
-1.2
0415
-2.3
5585
-1.3
737
-1.9
5248
DiAD
F-2
.89
-4.9
1898
-8.6
0476
-5.5
6435
-5.6
2196
-4.6
5951
-7.4
0416
-4.6
2428
-5.5
0936
-5.9
4304
-6.5
7106
-5.8
3303
-5.1
9296
-4.5
2578
-7.4
1879
-5.0
5783
-3.7
1081
-8.5
7602
-4.3
6089
-7.6
527
-8.5
9926
-4.4
0754
-5.7
2458
-5.5
1492
-6.8
1704
-5.6
5779
-9.2
1987
-7.3
022
-4.4
7055
-13.
4097
-11.
1855
-6.6
0088
-5.2
0093
-5.9
6941
-5.3
7966
-6.3
0847
-5.5
5461
-5.4
716
-3.3
9118
DiW
S-2
.55
-5.0
7683
-8.7
528
-5.7
4344
-4.2
3189
-4.4
3172
-7.5
9569
-4.6
4989
-5.6
9565
-5.7
0314
-5.6
0849
-5.9
891
-5.3
6608
-4.7
0972
-7.6
0875
-4.7
561
-3.9
4613
-8.4
2789
-4.5
4699
-7.5
4682
-0.3
2344
-4.4
2615
-5.8
3558
-2.9
7248
-7.0
0481
-5.8
4238
-9.4
1578
-7.4
6182
-4.5
9223
-13.
6184
-0.5
2319
-6.7
1666
-5.3
8286
-5.9
9954
-5.1
9538
-5.9
8454
-5.4
0783
-5.1
95-3
.590
79
Tabl
e 5.
Uni
t Roo
t Tes
ts fo
r the
Dom
estic
Var
iabl
es a
t the
5%
Sig
nific
ance
Leve
l
Note
: ADF
- A
ugm
ente
d D
icke
y-Fu
ller a
nd W
S - W
eigh
ted-
Sym
met
ric a
ugm
ente
d D
icke
y-Fu
ller
Narodowy Bank Polski2826
Country
Algeria
Argenti
naAus
tralia
Brazil
Canada
Chile
China
Chinese
Taipei
Colomb
iaCro
atiaCze
ch Repu
blicDen
mark
euro are
aHon
g Kong
Hungary
Iceland
India
Indonesi
aIsra
elJap
anKor
eaMa
laysia
Mexico
New Zea
landNor
wayPer
uPhil
ippines
Poland
Romania
Russia
Saudi A
rabia
Singapo
reSou
th Africa
Sweden
Switzer
landTha
ilandUni
ted Kin
gdomUn
ited Sta
tes# en
dogeno
us varia
bles4
55
55
55
55
45
55
55
55
55
55
55
55
55
54
54
55
55
55
5# fo
reign (s
tar) var
iables
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
r=0126
.11962
97.9466
156.864
6202.8
353190
.20952
01.2037
198.022
156.830
6357.7
162151
.3129
231.139
204.060
7229.6
903210
.525307
.80652
20.6179
149.114
3159.5
346221
.81511
35.2019
220.786
1184.8
024396
.23851
50.5279
141.063
259.518
3193.2
418391
.36362
69.5869
441.491
3146.8
803177
.79392
16.9671
171.565
1185.9
868201
.40041
55.8255
179.613
r=172.5
243153
.74649
8.58011
107.767
9113.4
221117
.66231
10.5116
93.9540
6141.4
73884.4
45571
16.9844
115.133
1134.8
075115
.51991
04.7392
121.120
396.5
48798.6
03331
06.4131
85.8397
7145.9
96199.0
41721
03.2684
85.2180
884.70
667151
.12671
25.4921
172.759
469.9
344195
.96824
6.25959
88.3712
1137.1
651100
.13341
27.0712
113.294
580.92
692106
.7977
r=241.7
70879
7.53315
54.0949
744.80
50948.8
1454
69.2241
55.1414
255.50
69775.7
27225
1.12187
48.2899
561.69
24671.5
68970.4
58675
1.64525
74.8501
859.71
94850.5
03495
2.42621
53.6117
76.0043
51.9805
155.57
70749.6
93424
9.94531
68.5481
968.32
32787.5
5609
39.5227
117.132
624.76
61247.8
97717
3.70986
45.3087
480.67
02666.4
29244
3.74712
59.8967
2r=3
18.2131
458.52
58224.3
00342
4.15322
26.3841
638.98
75629.7
92652
7.54733
35.411
20.3680
322.87
46135.0
0775
36.5363
31.5636
527.54
70836.7
53023
5.93085
21.7118
28.5182
727.70
67942.9
30322
4.07398
26.6521
423.98
57321.6
43263
5.32509
36.3994
142.45
82816.9
60055
5.32562
5.28726
517.83
23728.3
64332
4.53483
41.0844
334.72
02124.2
41572
2.89987
r=424.4
55887
.828242
8.98886
510.85
83714.3
76451
1.02284
7.20250
915.55
7665.47
7671
12.1599
14.6859
810.10
0967.87
80021
2.88813
15.0531
58.932
48312.6
34311.3
54481
4.18489
10.2964
28.367
67710.3
1651
6.25624
14.0580
18.044
97218.7
1764
9.14663
27.52
2827
4.51725
9.56174
910.86
6758.91
18136
.916221
10.7649
6
Country
Algeria
Argenti
naAus
tralia
Brazil
Canada
Chile
China
Chines
e Taipei
Colomb
iaCro
atiaCze
ch Repu
blicDen
mark
euro are
aHon
g Kong
Hun
garyIcel
andInd
iaInd
onesia
Israel
Japan
Korea
Malays
iaMe
xicoNew
Zealan
dNor
wayPer
uPhil
ippines
Poland
Romania
Russia
Saudi A
rabia
Singapo
reSou
th Africa
Sweden
Switzer
landTha
ilandUni
ted Kin
gdomUn
ited Sta
tes# en
dogeno
us varia
bles4
55
55
55
55
45
55
55
55
55
55
55
55
55
54
54
55
55
55
5# fo
reign (s
tar) var
iables
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
33
r=091.
81122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
.9691.
81122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
.96122
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.96122
.96122
.96122
.96122
.96122
.9691.
81122
.9691.
81122
.96122
.96122
.96122
.96122
.96122
.96122
.96r=1
64.54
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
64.54
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
91.81
64.54
91.81
64.54
91.81
91.81
91.81
91.81
91.81
91.81
91.81
r=241.
0364.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5441.
0364.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5464.
5441.
0364.
5441.
0364.
5464.
5464.
5464.
5464.
5464.
5464.
54r=3
20.98
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
20.98
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
41.03
20.98
41.03
20.98
41.03
41.03
41.03
41.03
41.03
41.03
41.03
r=420.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
9820.
98
Tabl
e 6.
Det
aile
d Co
inte
grat
ion
Resu
lts fo
r the
Tra
ce S
tatis
tic a
t the
5%
Sig
nific
ance
Leve
l
Tabl
e 7.
Crit
ical V
alue
s for
Tra
ce S
tatis
tic a
t the
5%
Sig
nific
ance
Leve
l (M
acKi
nnon
, Hau
g, M
ichel
is, 1
999)
29NBP Working Paper No. 315
Appendix
27
Table 8. Lag orders and number of cointegrating relations for country specific VARX*(p,q) models in the baseline model
country VARX* order number of coint.
relations p q
Algeria 1 1 2 Argentina 1 1 1 Australia 2 1 2 Brazil 1 1 2 Canada 1 1 2 Chile 1 1 3 China 1 1 2 Chinese Taipei 1 1 2 Colombia 1 1 3 Croatia 1 1 3 Czech Republic 1 1 2 Denmark 1 1 2 euro area 1 1 3 Hong Kong 1 1 3 Hungary 1 1 2 Iceland 1 1 3 India 1 1 2 Indonesia 2 1 2 Israel 1 1 2 Japan 1 1 1 Korea 1 1 4 Malaysia 1 1 2 Mexico 1 1 2 New Zealand 1 1 1 Norway 1 1 1 Peru 1 1 3 Philippines 1 1 3 Poland 1 1 3 Romania 1 2 2 Russia 1 1 4 Saudi Arabia 1 1 1 Singapore 1 1 1 South Africa 1 1 3 Sweden 1 1 2 Switzerland 1 1 3 Thailand 1 1 3 United Kingdom 1 1 1 United States 1 1 2
Narodowy Bank Polski30
28
Table 9. Expansions of abbreviations in figures (5)-(10)
Abbreviation Variable agr_int_tra Share of agriculture in international trade agr_gva Share of agriculture in GVA chinn_ito Chinn-Ito index exc_rat_reg_kspeg Exchange rate regime fue_min_int_tra Share of fuels and mining products in international trade gdp_per_cap_ppp_con GDP per capita, PPP, constant prices gvc_chi Participation in GVC with China gvc_wor Participation in GVC, total ind_gva Share of industry in GVA man_int_tra Share of manufacturing in international trade man_gva Share of manufacturing in GVA ser_gva Share of services in GVA tariff_wei_mea Tariffs, weighted mean Weight Weight in trade with China exp_imp_gdp Sum of exports and imports in relation to GDP iip_ass_lia_gdp Sum of IIP assets and liabilities in relation to GDP distance Distance between capital of respective economies and
Beijing gdp_ppp_con GDP, PPP, constant prices
Figure 7. Posterior inclusion probabilities – alternative
0102030405060708090
100
GVAR, with weight in trade with China
BVAR, without weight in trade with China
BVAR, with weight in trade with China
31NBP Working Paper No. 315
Appendix
29
Figure 8. Graphical results of BMA analysis – alternative 1 (GVAR, with weight in trade with China)
Figure 9. Graphical results of BMA analysis – alternative 2 (BVAR, without weight in trade with China)
Narodowy Bank Polski32
30
Figure 10. Graphical results of BMA analysis – alternative 3 (BVAR, with weight in trade with China)
33NBP Working Paper No. 315
Appendix
31
Figure 11. Counterparties resident in China. Total assets and liabilities for all sectors (USD millions) located in BIS reporting country in 2018.
Figure 12. The sum of exports and imports from China (USD millions)
Source: own calculations based on BIS locational statistics (see Backé et al. 2013)
Source: own calculations based on Direction of Trade Statistics, IMF; sum of goods, value of exports, FOB and goods, value of imports, CIF
Figure 13. Exposure to China. Percentage of exports to China in 2017.
Figure 14. Real GDP growth rate in China
Source: own calculations based on Direction of Trade Statistics, IMF; sum of goods, value of exports, FOB and goods, value of imports, CIF
Source: own calculations based on China GDP Total (at Constant Price, 2015), CNY series from Macrobond.
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