Physica A 527 (2019) 121194
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Physica A
journal homepage: www.elsevier.com/locate/physa
Multifractal detrended cross-correlation analysis and
frequency dynamics of connectedness for energy futures
markets
Bangcan Wang
a
, Yu Wei
b,∗
, Yuhui Xing
a
, Wenjiao Ding
a
a
Kunming Power Exchange Center Company Limited, China
b
School of Finance, Yunnan University of Finance and Economics, China
highlights
• MF-DCCA is used to detect the correlation patterns among four major energy futures markets.
• Frequency connectedness measurement is employed to identify the information contribution of individual energy markets.
• Significant multifractality is found in the cross-correlations among the four energy futures markets.
article info
Article history:
Received 28 December 2018
Received in revised form 21 March 2019
Available online 8 May 2019
Keywords:
MF-DCCA
Variance decomposition
Frequency connectedness
Energy futures
abstract
In this paper, the correlations among four major energy futures markets, i.e. elec-
tricity, coal, natural gas and crude oil, are investigated by multifractal detrended
cross-correlation analysis (MF-DCCA) and a novel frequency connectedness method. The
empirical results show that, firstly, there are significant multifractality in the cross-
correlations among the four energy futures markets, and the cross-correlation behavior
of small fluctuations is more persistent than that of large fluctuations. Secondly, the
connectedness among the four energy markets is much stronger in short term than
those in longer time horizons. Thirdly, in terms of the static connectedness measurement
without time frequency and on time horizon of 4 to 10 days, electricity futures market
dominates other energy markets by contributing the largest positive net connectedness
in the system. Finally, when the dynamic connectedness is considered, we find that
at different time periods, the four energy markets play various roles in the system
by offering time-varying positive or negative net connectedness to other markets. The
electricity futures market, however, transmits the largest positive net connectedness in
recent years, especially on time horizons longer than 4 days.
© 2019 Elsevier B.V. All rights reserved.
1. Introduction
Energy markets are extremely important for modern economy globally. The prices of energy products, especially those
major products, such as crude oil, coal, natural gas and electricity fluctuate wildly in recent years [1–5]. To manage the
market risk of energy products, energy futures are commonly used by suppliers, demanders and speculators in recent
years [6–11]. Furthermore, there is a large amount of literature on interconnection within energy markets as well to the
other commodities groups and financial assets [12–16]. Recently, Filip et al. [17] make an excellent review in this field.
∗
Correspondence to: 237 Longquan Road, Kunming, Yunnan, China.
E-mail address: weiyusy@126.com (Y. Wei).
https://doi.org/10.1016/j.physa.2019.121194
0378-4371/© 2019 Elsevier B.V. All rights reserved.