Forecasting volatility of crude oil markets
☆
Sang Hoon Kang
a
, Sang-Mok Kang
b
, Seong-Min Yoon
b,
⁎
a
Department of Business Administration, Gyeongsang National University, Jinju, 660-701, Republic of Korea
b
Department of Economics, Pusan National University, Busan, 609-735, Republic of Korea
abstract article info
Article history:
Received 21 January 2008
Received in revised form 3 September 2008
Accepted 10 September 2008
Available online 22 September 2008
JEL classification:
Q40
E30
C32
C52
Keywords:
Persistence
Long memory
CGARCH
FIGARCH
This article investigates the efficacy of a volatility model for three crude oil markets — Brent, Dubai, and West
Texas Intermediate (WTI) — with regard to its ability to forecast and identify volatility stylized facts, in
particular volatility persistence or long memory. In this context, we assess persistence in the volatility of the
three crude oil prices using conditional volatility models. The CGARCH and FIGARCH models are better
equipped to capture persistence than are the GARCH and IGARCH models. The CGARCH and FIGARCH models
also provide superior performance in out-of-sample volatility forecasts. We conclude that the CGARCH and
FIGARCH models are useful for modeling and forecasting persistence in the volatility of crude oil prices.
© 2008 Elsevier B.V. All rights reserved.
1. Introduction
Modeling and forecasting oil price volatility are important inputs
into macroeconometric models, option pricing formulas, and portfolio
selection models. For example, current crude oil prices make use of
modern financial instruments, including futures contracts, options,
and other financial derivatives, and their dynamics are broadly related
to economic growth, inflation (Chang and Wong, 2003; Doroodian and
Boyd, 2003; Ferderer, 1996; Huang et al., 2005; Huntington, 1998;
Lardic and Mignon, 2006; Lee et al., 1995), the price movements of
other energy futures contracts (Bhar and Hamori, 2005; Ewing et al.,
2006), and other financial assets (Chen and Chen, 2007; Ewing and
Thompson, 2007; Pinkdyck, 2001; Sadorsky, 1999, 2000, 2003).
In this context, accurate modeling and forecasting of crude oil
volatility are of considerable interest to energy researchers and policy
makers. Several articles in the energy literature have addressed the
modeling and forecasting of crude oil market volatility, using
generalized autoregressive conditional heteroskedasticity (GARCH)
model and their variants (Adrangi et al., 2001; Cabedo and Moya,
2003; Fong and See, 2002; Giot and Laurent, 2003; Morana, 2001;
Narayan and Narayan, 2007; Sadeghi and Shavvalpour, 2006;
Sadorsky, 2006). However, there is currently no general consensus
on the modeling and forecasting of crude oil volatility, because the
standard GARCH models cannot capture persistence in the volatility of
crude oil prices.
Although the modeling and forecasting of volatility persistence
have been widely documented in equity and foreign exchange
markets, few studies have thus far analyzed the persistence of long
memory in the volatility of crude oil prices (Brunetti and Gilbert,
2000; Tabak and Cajueiro, 2007). Persistence (long memory) means
that shocks to conditional variance die at a hyperbolic rate, which is
slower than the exponential rate of the decay of shocks in GARCH
models (Baillie, 1996). Such a persistent feature is a crucial component
of oil risk management, investment portfolios, and the pricing of
derivative securities, as its presence is connected closely to the
predictability of crude oil volatility (Elder and Serletis, 2008). In
response, Baillie et al. (1996) introduced a fractionally integrated
GARCH (FIGARCH) model that allows for a factional integrated process
in conditional variance, whereas Engle and Lee (1999) developed the
component-GARCH (CGARCH) models distinguishing between short-
run and long-run persistence of volatility.
The principal focus of this paper has been placed on the forecasting
of the volatility of three main regional crude oil benchmarks; Brent
(North Sea-Europe), Dubai (Persian Gulf), and West Texas Intermedi-
ate (WTI) Cushing (US). Recent oil price shocks have been cited as the
Energy Economics 31 (2009) 119–125
☆ This work was supported by the Korea Research Foundation Grant funded by the
Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2007-521-
C00110).
⁎ Corresponding author. Department of Economics, Pusan National University,
Jangjeon2-Dong, Geumjeong-Gu, Busan, 609-735, Republic of Korea. Tel.: +82 51 510
2557; fax: +82 51 581 3143.
E-mail address: smyoon@pusan.ac.kr (S.-M. Yoon).
0140-9883/$ – see front matter © 2008 Elsevier B.V. All rights reserved.
doi:10.1016/j.eneco.2008.09.006
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