How do correlations of crude oil prices co-move? A grey correlation-based wavelet perspective

Previous research on the oil market has focused mainly on the static relationship between bivariate oil prices, ignoring the dynamic correlation of bivariate or multivariate oil prices. This study provides a novel perspective on multivariate dynamic correlations for studying the oil market by using an optimal wavelet analysis on the basis of grey correlation. We used China-Daqing and its three reference benchmark oil prices (Brent, Dubai and Minas) as empirical data. Our main findings are as follows. First, the time–frequency phenomena of the analysis results from one-to-one and many-to-one correlation time series support the hypothesis of the regional and global characteristics of the oil market, respectively. Second, the U-shaped wavelet variance plot indicates that the fluctuation intensity of the shortest and longest time–frequency domains plays a leading role in the dynamic process of oil price correlation. For the Chinese government, the oil price adjustment strategy in the short term should reduce the reference weights of Brent, and the long-term strategy should reduce the reference weights of Minas to avoid the risk of a single reference. The investor's portfolio management should pay more attention to the leading oil price of the corresponding period to make clear market timing. Third, the significant lead–lag relationships of oil price correlations showed a time-varying spread phenomenon of benchmark oil prices' relative influence on Daqing, which provides a useful time reference when crafting an oil price adjustment strategy and intertemporal arbitrage.

[1]  S. Gurcan Gulen,et al.  Regionalization in the World Crude Oil Market: Further Evidence , 1999 .

[2]  François Benhmad,et al.  Dynamic cyclical comovements between oil prices and US GDP: A wavelet perspective , 2013 .

[3]  Marco Gallegati,et al.  A wavelet-based approach to test for financial market contagion , 2012, Comput. Stat. Data Anal..

[4]  James Nga-Kwok Liu,et al.  Application of feature-weighted Support Vector regression using grey correlation degree to stock price forecasting , 2012, Neural Computing and Applications.

[5]  C. Torrence,et al.  A Practical Guide to Wavelet Analysis. , 1998 .

[6]  C. Pinho,et al.  Time Frequency Effects on Market Indices: World Commovements , 2009 .

[7]  M. Adelman International Oil Agreements , 1984 .

[8]  S. Gulen Regionalization in the World Crude Oil Market , 1997 .

[9]  Component structure for nonstationary time series: Application to benchmark oil prices , 2008 .

[10]  Mu-Shang Yin,et al.  Fifteen years of grey system theory research: A historical review and bibliometric analysis , 2013, Expert Syst. Appl..

[11]  Bradley T. Ewing,et al.  Threshold Cointegration Analysis of Crude Oil Benchmarks , 2008 .

[12]  François Benhmad Modeling nonlinear Granger causality between the oil price and U.S. dollar: A wavelet based approach , 2012 .

[13]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[14]  An Hai-zhong,et al.  DYNAMIC FEATURES OF CHINA'S CRUDE OIL PRICE BASED ON MULTI-SCALE ENTROPY , 2012 .

[15]  A. Walden,et al.  Statistical Properties and Uses of the Wavelet Variance Estimator for the Scale Analysis of Time Series , 2000 .

[16]  B. LeBaron,et al.  A test for independence based on the correlation dimension , 1996 .

[17]  Brandon Whitcher,et al.  Systematic risk and timescales , 2003 .

[18]  Patrick M. Crowley,et al.  An Intuitive Guide to Wavelets for Economists , 2005 .

[19]  A Wavelet Analysis of MENA Stock Markets , 2005 .

[20]  Donald P. Percival,et al.  On estimation of the wavelet variance , 1995 .

[21]  Sue J. Lin,et al.  Grey relation performance correlations among economics, energy use and carbon dioxide emission in Taiwan , 2007 .

[22]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Michael Small,et al.  Detecting temporal and spatial correlations in pseudoperiodic time series. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  R. Weiner Is the World Oil Market "One Great Pool?" , 1991 .

[25]  Juan C. Reboredo,et al.  How do crude oil prices co-move?: A copula approach , 2011 .

[26]  Haizhong An,et al.  Multiresolution transmission of the correlation modes between bivariate time series based on complex network theory , 2015 .

[27]  Bassam Fattouh,et al.  The Dynamics of Crude Oil Price Differentials , 2010 .

[28]  Francis Haeuck In,et al.  On the relationship between changes in stock prices and bond yields in the G7 countries: Wavelet analysis , 2007 .

[29]  R. Jammazi Cross dynamics of oil-stock interactions: A redundant wavelet analysis , 2012 .

[30]  Anil K. Bera,et al.  Efficient tests for normality, homoscedasticity and serial independence of regression residuals , 1980 .

[31]  Aviral Kumar Tiwari,et al.  Oil price and exchange rates: A wavelet based analysis for India , 2013 .

[32]  Silvo Dajčman,et al.  Interdependence Between Some Major European Stock Markets - A Wavelet Lead/Lag Analysis , 2013 .

[33]  P. Phillips Testing for a Unit Root in Time Series Regression , 1988 .

[34]  J. B. Ramsey,et al.  DECOMPOSITION OF ECONOMIC RELATIONSHIPS BY TIMESCALE USING WAVELETS , 1998, Macroeconomic Dynamics.

[35]  Patrick M. Crowley,et al.  Long Cycles in Growth: Explorations Using New Frequency Domain Techniques with US Data , 2010 .

[36]  J. Ramsey Regression over Timescale Decompositions: A Sampling Analysis of Distributional Properties , 1999 .

[37]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[38]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[39]  T. C. Chang,et al.  Grey relation analysis of carbon dioxide emissions from industrial production and energy uses in Taiwan , 1999 .