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Table 6 Unit root test results

From: COVID-19 pandemic and the crude oil market risk: hedging options with non-energy financial innovations

 

Consumer discretionary

Consumer staples

Financials

Health

Industrials

Materials

Real estate

Technology

Telecom

Utilities

Oil

Full Sample (2004-09-30 to 2020-12-30)

           

ADF [I(0)]

 − 69.645a

 − 37.086a

 − 72.413a

 − 50.688a

 − 68.015a

 − 67.559a

 − 70.154a

 − 68.742a

 − 50.469a

 − 49.927a

 − 64.852a

NL [I(0)]

 − 65.028a

 − 67.101a

 − 66.313a

 − 67.406a

 − 63.880a

 − 64.313a

 − 62.681a

 − 64.975a

 − 65.925a

 − 65.636a

 − 60.392a

Break date

10/16/2008

11/05/2004

9/19/2008

10/14/2008

10/14/2008

10/14/2008

11/25/2008

8/24/2015

10/06/2004

11/05/2004

4/21/2020

Nobs

4068

4068

4068

4068

4068

4068

4068

4068

4068

4068

4068

Pre-COVID Sample (2004-09-30 to 2020-12-31)

           

ADF [I(0)]

 − 47.715a

 − 41.698a

 − 70.343a

 − 49.830a

 − 66.328a

 − 63.672a

 − 34.996a

 − 65.861a

 − 49.649a

 − 49.311a

 − 61.038a

NL [I(0)]

 − 62.757a

 − 65.801a

 − 64.841a

 − 65.953a

 − 62.314a

 − 62.595a

 − 60.980a

 − 62.613a

 − 63.647a

 − 64.349a

 − 59.952a

Break date

10/16/2008

10/13/2008

9/19/2008

10/14/2008

10/14/2008

10/14/2008

11/25/2008

8/24/2015

9/19/2008

10/10/2008

01/02/2009

Nobs

3818

3818

3818

3818

3818

3818

3818

3818

3818

3818

3818

COVID Sample (2020-01-01 to 2020-12-30)

           

ADF [I(0)]

 − 17.600a

 − 16.857a

 − 17.561a

 − 16.594a

 − 16.264a

 − 19.295a

 − 14.340a

 − 17.992a

 − 18.396a

 − 14.839a

 − 16.653a

NL [I(0)]

 − 17.422a

 − 15.681a

 − 15.770a

 − 14.541a

 − 14.466a

 − 14.188a

 − 15.218a

 − 17.667a

 − 18.387a

 − 14.463a

 − 16.495a

Break date

04/07/2020

3/23/2020

03/12/2020

03/12/2020

03/12/2020

3/16/2020

3/17/2020

3/12/2020

03/12/2020

3/23/2020

4/21/2020

Nobs

249

249

249

249

249

249

249

249

249

249

249

  1. ADF is the Augmented Dickey Fuller unit root test; NL is the GARCH-based unit root test with structural breaks proposed by Narayan and Liu (2015) and it is considered an alternative to the Narayan and Popp (2010) test due to the data frequency used in this study (see also Salisu and Adeleke 2016). Both unit root tests are conducted with a constant and a time trend. For want of space here, we use the superscripts a, b and c to denote statistical significance at 1%, 5% and 10% levels, respectively