CRUDE OIL PRICE MODELLING WITH LEVY PROCESS

Öz

The increased oil prices worldwide are having a great impact on all economic activities. That’s why research on the dynamic behavior of crude oil prices has become a hot issue in recent years. Especially the recent changes in crude oil price behaviour between 2007 and 2009 revived the question about the underlying dynamics governing crude oil prices. To understand the behavior of the oil market there is a need to understand the stochastic models of oil prices. Their dynamics were characterized by high volatility, high intensity jumps, and strong upward drift, indicating that oil markets were constantly out-of-equilibrium. The aim of this study is to model oil price returns by Lévy process including the temporal, spectral and distributional properties of the data set. Our findings could be helpful for monitoring oil markets and we expect that the analysis presented in this paper is useful for researchers and energy economists interested in predicting crude oil price and return.

Anahtar Kelimeler

• Oil, Stochastic Modelling, Levy Process, ARMA, GARCH, COGARCH

Kaynakça

1. Applebaum, D. (2011), Lecture given at Koç University on Levy Process
2. Brunett, Celso, 1999, “Long Memory, The Taylor Effect and Intraday Volatility in Commodity Futures Markets
3. Barndorff-Nielsen, Ole E., Neil Shephard (2001), “Modelling by Lévy Processes for Financial Economics”, Birkhauser:Boston, pp.283-318.
4. Clark, P. K., 1973, “A Subordinated Stochastic Process with Finite Variance for
5. Speculative Prices,” Econometrica, Vol. 41, pp. 135–155. Cont, R. and Tankov, P., 2004, Financial Modeling with Jump Processes, (Chapman&Hall/CRC).
6. Cortazara, G. and Schwartzb, E., 2003, “Implementing a Stochastic Model for Oil Futures Prices,”
7. Fama, E.F., 1965, “The Behavior of Stock Market Prices,” Journal of Business, Vol. 34, 420–429.
8. Hannan, E. J., Rissanen J. (1982), “Recursive Estimation of Mixed

9. Autoregressive-Moving Average Order”, Biometrika, Vol. 69, No. 1, pp. 81-94
10. Krichene, Noureddine, 2006 “Recent Dynamics of Crude Oil Prices,” IMF Working Paper
11. Klüppelberg, Claudia, Alexander Lindner and Ross Maller (2004), “A Continuous
12. Time GARCH Process Driven by a Lévy Process:Stationary and Second Order Behaviour”, Journal of Applied Probability, Vol. 41, pp.601-622
13. Müller, G., Durand, R., Maller, R., Klüppelberg, C., “Analysis of stock market volatility by continuous-time GARCH models”, Stock Market Volatility, Chapman Hall/Taylor and Francis, London, pp. 31 50, 2009