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Cross-correlation between crude oil and refined product prices

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  • Liu, Li
  • Ma, Guofeng

Abstract

In this paper, we investigate cross-correlations between crude oil and refined product prices based on the well-known detrended cross-correlation analysis (DCCA). Our findings indicate that the cross-correlations are significant and strong. Furthermore, the multifractality in cross-correlations is also revealed. The cross-correlation coefficients are as high as 0.9 for larger time scales and are greater than those for smaller time scales. Two popular models, vector error correction model and bivariate BEKK volatility model, are found to have very limited power in capturing long-range cross-correlations, suggesting the drawbacks of these conventional models in actual applications. Long-term cross-correlations are stronger in recent ten years than those in the past decades.

Suggested Citation

  • Liu, Li & Ma, Guofeng, 2014. "Cross-correlation between crude oil and refined product prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 284-293.
  • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:284-293
    DOI: 10.1016/j.physa.2014.07.007
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    as
    1. Radchenko, Stanislav, 2005. "Lags in the response of gasoline prices to changes in crude oil prices: The role of short-term and long-term shocks," Energy Economics, Elsevier, vol. 27(4), pages 573-602, July.
    2. Chen, Li-Hsueh & Finney, Miles & Lai, Kon S., 2005. "A threshold cointegration analysis of asymmetric price transmission from crude oil to gasoline prices," Economics Letters, Elsevier, vol. 89(2), pages 233-239, November.
    3. Radchenko, Stanislav, 2005. "Oil price volatility and the asymmetric response of gasoline prices to oil price increases and decreases," Energy Economics, Elsevier, vol. 27(5), pages 708-730, September.
    4. Douglas, Christopher C., 2010. "Do gasoline prices exhibit asymmetry? Not usually!," Energy Economics, Elsevier, vol. 32(4), pages 918-925, July.
    5. Liu, Li & Wang, Yudong, 2014. "Cross-correlations between spot and futures markets of nonferrous metals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 20-30.
    6. Polemis, Michael L. & Fotis, Panagiotis N., 2013. "Do gasoline prices respond asymmetrically in the euro zone area? Evidence from cointegrated panel data analysis," Energy Policy, Elsevier, vol. 56(C), pages 425-433.
    7. Wang, Dong-Hua & Suo, Yuan-Yuan & Yu, Xiao-Wen & Lei, Man, 2013. "Price–volume cross-correlation analysis of CSI300 index futures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1172-1179.
    8. Honarvar, Afshin, 2009. "Asymmetry in retail gasoline and crude oil price movements in the United States: An application of hidden cointegration technique," Energy Economics, Elsevier, vol. 31(3), pages 395-402, May.
    9. Alvarez-Ramirez, Jose & Alvarez, Jesus & Rodriguez, Eduardo, 2008. "Short-term predictability of crude oil markets: A detrended fluctuation analysis approach," Energy Economics, Elsevier, vol. 30(5), pages 2645-2656, September.
    10. Severin Borenstein & Andrea Shepard, 2002. "Sticky Prices, Inventories, and Market Power in Wholesale Gasoline Markets," RAND Journal of Economics, The RAND Corporation, vol. 33(1), pages 116-139, Spring.
    11. Machado Filho, A. & da Silva, M.F. & Zebende, G.F., 2014. "Autocorrelation and cross-correlation in time series of homicide and attempted homicide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 12-19.
    12. Cajueiro, Daniel O. & Gogas, Periklis & Tabak, Benjamin M., 2009. "Does financial market liberalization increase the degree of market efficiency? The case of the Athens stock exchange," International Review of Financial Analysis, Elsevier, vol. 18(1-2), pages 50-57, March.
    13. Wang, Yudong & Wei, Yu & Wu, Chongfeng, 2010. "Cross-correlations between Chinese A-share and B-share markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5468-5478.
    14. He, Ling-Yun & Chen, Shu-Peng, 2011. "Nonlinear bivariate dependency of price–volume relationships in agricultural commodity futures markets: A perspective from Multifractal Detrended Cross-Correlation Analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 297-308.
    15. Cajueiro, Daniel O. & Tabak, Benjamin M., 2008. "Testing for time-varying long-range dependence in real state equity returns," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 293-307.
    16. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    17. Lance J. Bachmeier & James M. Griffin, 2003. "New Evidence on Asymmetric Gasoline Price Responses," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 772-776, August.
    18. Cajueiro, Daniel O. & Tabak, Benjamin M., 2005. "Testing for time-varying long-range dependence in volatility for emerging markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 577-588.
    19. Vassoler, R.T. & Zebende, G.F., 2012. "DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2438-2443.
    20. Cajueiro, Daniel O & Tabak, Benjamin M, 2004. "The Hurst exponent over time: testing the assertion that emerging markets are becoming more efficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 521-537.
    21. Wang, Gang-Jin & Xie, Chi, 2013. "Cross-correlations between Renminbi and four major currencies in the Renminbi currency basket," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1418-1428.
    22. Radchenko, Stanislav & Shapiro, Dmitry, 2011. "Anticipated and unanticipated effects of crude oil prices and gasoline inventory changes on gasoline prices," Energy Economics, Elsevier, vol. 33(5), pages 758-769, September.
    23. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    24. Zebende, G.F. & da Silva, M.F. & Machado Filho, A., 2013. "DCCA cross-correlation coefficient differentiation: Theoretical and practical approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1756-1761.
    25. Bacon, Robert W., 1991. "Rockets and feathers: the asymmetric speed of adjustment of UK retail gasoline prices to cost changes," Energy Economics, Elsevier, vol. 13(3), pages 211-218, July.
    26. He, Ling-Yun & Chen, Shu-Peng, 2011. "Multifractal Detrended Cross-Correlation Analysis of agricultural futures markets," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 355-361.
    27. Sergio Arianos & Anna Carbone, 2008. "Cross-correlation of long-range correlated series," Papers 0804.2064, arXiv.org, revised Mar 2009.
    28. Zebende, G.F. & da Silva, P.A. & Machado Filho, A., 2011. "Study of cross-correlation in a self-affine time series of taxi accidents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1677-1683.
    29. Tabak, Benjamin M. & Cajueiro, Daniel O., 2007. "Are the crude oil markets becoming weakly efficient over time? A test for time-varying long-range dependence in prices and volatility," Energy Economics, Elsevier, vol. 29(1), pages 28-36, January.
    30. Cao, Guangxi & Xu, Longbing & Cao, Jie, 2012. "Multifractal detrended cross-correlations between the Chinese exchange market and stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4855-4866.
    31. Severin Borenstein & A. Colin Cameron & Richard Gilbert, 1997. "Do Gasoline Prices Respond Asymmetrically to Crude Oil Price Changes?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 305-339.
    32. Wang, Yudong & Wei, Yu & Wu, Chongfeng, 2011. "Detrended fluctuation analysis on spot and futures markets of West Texas Intermediate crude oil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(5), pages 864-875.
    33. Atil, Ahmed & Lahiani, Amine & Nguyen, Duc Khuong, 2014. "Asymmetric and nonlinear pass-through of crude oil prices to gasoline and natural gas prices," Energy Policy, Elsevier, vol. 65(C), pages 567-573.
    34. Siqueira, Erinaldo Leite & Stošić, Tatijana & Bejan, Lucian & Stošić, Borko, 2010. "Correlations and cross-correlations in the Brazilian agrarian commodities and stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2739-2743.
    35. Liu, Li & Wan, Jieqiu, 2012. "The relationships between Shanghai stock market and CNY/USD exchange rate: New evidence based on cross-correlation analysis, structural cointegration and nonlinear causality test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6051-6059.
    36. Li, Zhihui & Lu, Xinsheng, 2012. "Cross-correlations between agricultural commodity futures markets in the US and China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3930-3941.
    37. Zebende, G.F., 2011. "DCCA cross-correlation coefficient: Quantifying level of cross-correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 614-618.
    38. Ma, Feng & Wei, Yu & Huang, Dengshi, 2013. "Multifractal detrended cross-correlation analysis between the Chinese stock market and surrounding stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1659-1670.
    39. Wei-Xing Zhou, 2008. "Multifractal detrended cross-correlation analysis for two nonstationary signals," Papers 0803.2773, arXiv.org.
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