J. of Multi. Fin. Manag. 37–38 (2016) 168–189
Contents lists available at ScienceDirect
Journal of Multinational Financial
Management
journal homepage: www.elsevier.com/locate/econbase
A time-varying copula approach for modelling dependency:
New evidence from commodity and stock markets
Lanouar Charfeddine
∗
, Noureddine Benlagha
Department of Finance and Economics, College of Business and Economics, Qatar University, P.O. Box 2713, Doha, Qatar
a r t i c l e i n f o
Article history:
Received 30 December 2015
Received in revised form 19 October 2016
Accepted 29 October 2016
Available online 4 November 2016
JEL classification:
C58
G01
G15
Q02
Keywords:
Time varying dependence
Copula
Breaks
Commodity
Stock market
a b s t r a c t
This paper examines the time-varying conditional dependency between commodity mar-
kets and stock markets by applying the rolling-sample technique on the dependence
parameter of copula. The dataset consists of the closing prices of twelve commodities
and the SP500, CAC40, DAX30 and FTSE100 indices during the period from July 7, 1992 to
February 17, 2015. To date precisely the breakpoints in the dynamics of the copula param-
eter of dependence, we employ Bai and Perron’s (BP, 1998, 2003) structural break-testing
procedure.
Our empirical findings show that among the seven copulas investigated, the Student’s t-
copula is more appropriate for modelling dependency. Moreover, the BP procedure shows
strong evidence of time-varying behaviour in the parameter of dependence. The results
show that the dates of breaks correspond to economic and financial events, such as the
global financial crisis and crude oilprice fluctuations.
© 2016 Elsevier B.V. All rights reserved.
1. Introduction
It is commonly recognized that determining the true structure of dependence between international markets remains
a challenging and interesting task for both academic researchers and market participants. For instance, by examining the
structure of dependence between international markets, policymakers and investors can improve their forecasts, their
portfolio hedging and the asset pricing of derivatives. In the recent literature, modelling dependence between equity, energy,
metal, food and agriculture markets has widely increased. However, most of these studies have focused on modelling the
market dependence of stock markets (Liu et al., 2013; Righi and Ceretta, 2015), between stock markets and energy markets
(Apergis and Miller, 2009; Kilian and Park, 2009; Arouri and Nguyen, 2010; Aloui et al., 2013), or between different types of
energy series (Gregoire et al., 2008). Overall, the literature shows that no consensus has be reached regarding this relationship.
The results depend on many factors, such as the empirical methodology employed, the type of assets investigated (stocks,
energy, metals, and agriculture), and the markets examined (developed, emerging and/or developing markets). Despite the
large number of works investigating the dependence between international markets, little attention has been paid to the
dependence structure between commodity and stock markets (see Cheung and Miu, 2010; Vivian and Wohar, 2012; Ckili
et al., 2014).
∗
Corresponding author.
E-mail addresses: lcharfeddine@qu.edu.qa, lanouar charf@yahoo.fr (L. Charfeddine), nbenlagha@qu.edu.qa (N. Benlagha).
http://dx.doi.org/10.1016/j.mulfin.2016.10.003
1042-444X/© 2016 Elsevier B.V. All rights reserved.