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Table 8 Coefficients of the VAR(1) and significance of Granger causality in the mean during expansions and recessions

From: Industry return lead-lag relationships between the US and other major countries

Ā 

BM

CD

CS

EN

FI

HC

IN

RE

TEC

TEL

UT

Expansions

\(US\to CN\)

0.066

0.102*

0.049

0.020

0.021

0.045

āˆ’ā€‰0.011

0.037

āˆ’ā€‰0.010

0.055

0.077

\(CN\to US\)

āˆ’ā€‰0.012

āˆ’ā€‰0.025

0.000

0.049

āˆ’ā€‰0.010

āˆ’ā€‰0.026

0.019

0.008

0.031

āˆ’ā€‰0.055

0.024

\(US\to FR\)

0.048

0.022

0.017

0.093*

āˆ’ā€‰0.037

0.008

āˆ’ā€‰0.019

āˆ’ā€‰0.008

0.005

āˆ’ā€‰0.006

0.048

\(FR\to US\)

0.027

āˆ’ā€‰0.001

āˆ’ā€‰0.008

0.021

āˆ’ā€‰0.024

0.005

0.005

0.005

0.051*

āˆ’ā€‰0.014

āˆ’ā€‰0.072

\(US\to GE\)

0.067*

0.035

0.068

āˆ’ā€‰0.002

āˆ’ā€‰0.002

0.048

0.033

āˆ’ā€‰0.002

0.020

āˆ’ā€‰0.023

0.026*

\(GE\to US\)

0.025

āˆ’ā€‰0.021

0.013

0.016

āˆ’ā€‰0.035

0.022

āˆ’ā€‰0.019

āˆ’ā€‰0.013

0.071*

0.018

āˆ’ā€‰0.012

\(US\to JP\)

0.081*

0.092*

0.067

0.131*

0.066

0.114*

0.134*

0.064*

0.145*

0.093

0.112*

\(JP\to US\)

āˆ’ā€‰0.032

āˆ’ā€‰0.063*

āˆ’ā€‰0.033

0.041*

āˆ’ā€‰0.010

āˆ’ā€‰0.026

āˆ’ā€‰0.017

0.005

āˆ’ā€‰0.002

āˆ’ā€‰0.020

0.012

\(US\to CH\)

0.150*

0.008

0.020

0.109*

0.051

0.034

0.034

āˆ’ā€‰0.013

0.005

0.042

0.029*

\(CH\to US\)

0.008

āˆ’ā€‰0.008

āˆ’ā€‰0.007

0.036

āˆ’ā€‰0.029

0.023

āˆ’ā€‰0.004

0.008

0.055

āˆ’ā€‰0.005

āˆ’ā€‰0.020

\(US\to UK\)

0.081*

0.071*

0.064

0.115*

0.035

0.046

0.044

0.041

0.113*

0.022

0.022

\(UK\to US\)

0.019

āˆ’ā€‰0.005

0.024

0.074*

āˆ’ā€‰0.017

0.016

0.003

0.030

0.020

āˆ’ā€‰0.018

0.000

Recessions

\(US\to CN\)

0.223

0.298*

0.110

0.216

0.131

0.265*

0.222

0.066

0.012

0.121

0.150

\(CN\to US\)

āˆ’ā€‰0.113

āˆ’ā€‰0.032

0.196*

āˆ’ā€‰0.035

0.069

0.031

āˆ’ā€‰0.026

āˆ’ā€‰0.084

0.112

āˆ’ā€‰0.068

0.078

\(US\to FR\)

0.195*

0.129

0.032

0.175

0.258*

0.028

0.140

0.129*

0.102

0.002

0.233*

\(FR\to US\)

0.021

0.119

0.145*

0.006

āˆ’ā€‰0.066

0.108

0.029

0.012

0.050

āˆ’ā€‰0.041

0.059

\(US\to GE\)

0.196*

0.307*

0.052

0.196*

0.191*

0.146*

0.125

0.044

0.002

0.193

0.152

\(GE\to US\)

āˆ’ā€‰0.061

0.003

0.089

āˆ’ā€‰0.034

āˆ’ā€‰0.003

0.065

0.003

0.029

0.039

āˆ’ā€‰0.007

0.031

\(US\to JP\)

0.215*

0.211*

0.161

0.183*

0.200*

0.189*

0.219*

0.153*

0.221*

0.195*

0.098

\(JP\to US\)

0.045

āˆ’ā€‰0.015

0.038

āˆ’ā€‰0.055

āˆ’ā€‰0.158

0.028

āˆ’ā€‰0.011

āˆ’ā€‰0.029

āˆ’ā€‰0.033

āˆ’ā€‰0.041

0.014

\(US\to CH\)

0.295*

0.092

0.074*

0.144

0.069

0.134

0.110

0.074

0.006

0.130

āˆ’ā€‰0.008

\(CH\to US\)

āˆ’ā€‰0.090

āˆ’ā€‰0.019

0.032

āˆ’ā€‰0.017

āˆ’ā€‰0.169*

0.013

āˆ’ā€‰0.090

āˆ’ā€‰0.169*

āˆ’ā€‰0.033

āˆ’ā€‰0.070

0.058

\(US\to UK\)

0.290*

0.230*

0.154

0.207

0.184

0.157

0.204

0.229*

0.139

0.185

0.074

\(UK\to US\)

āˆ’ā€‰0.029

āˆ’ā€‰0.001

0.149*

0.061

āˆ’ā€‰0.066

0.124*

0.006

āˆ’ā€‰0.022

āˆ’ā€‰0.028

āˆ’ā€‰0.077

0.030

  1. This table presents the coefficients of a bivariate VAR(1) and the significance of the Granger causality tests applied to weekly returns using data in periods identified as expansions or recessions in the US according to the NBER business cycle classification (https://www.nber.org/research/data/us-business-cycle-expansions-and-contractions). The tests are conducted pairwise between the US and other 6 countries (Canada (CN), France (FR), Germany (GE), Japan (JP), China (CH), and the UK) for 11 industries (Basic Materials (BM), Consumer Discretionary (CD), Consumer Staples (CS), Energy (EN), Financials (FI), Health Care (HC), Industrials (IN), Real Estate (RE), Technology (TEC), Telecommunications (TEL) and Utilities (UT)). \(US\to k\) indicates Granger causality from the US to the returns of country \(k\), and \(k\to US\) indicates Granger causality from country \(k\) to the US, for each industry. Numbers in bold indicate the rejection of the null hypothesis of no Granger causality at the 5% level. One asterisk, ā€œ*ā€, denotes significance at the 1% level