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Nonlinear structure analysis of carbon and energy markets with MFDCCA based on maximum overlap wavelet transform

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  • Cao, Guangxi
  • Xu, Wei

Abstract

This paper investigates the nonlinear structure between carbon and energy markets by employing the maximum overlap wavelet transform (MODWT) as well as the multifractal detrended cross-correlation analysis based on maximum overlap wavelet transform (MFDCCA-MODWT). Based on the MODWT multiresolution analysis and the statistic Qcc(m) significance, relatively significant cross-correlations are obtained between carbon and energy future markets either on different time scales or on the whole. The result of the Granger causality test indicates bidirectional Granger causality between carbon and electricity future markets, although the Granger causality relationship between the carbon and oil price is not evident. The existence of multifractality for the returns between carbon and energy markets is proven with the MFDCCA-MODWT algorithm. In addition, results of investigating the origin of multifractality demonstrate that both long-range correlations and fat-tailed distributions play important roles in the contributions of multifractality.

Suggested Citation

  • Cao, Guangxi & Xu, Wei, 2016. "Nonlinear structure analysis of carbon and energy markets with MFDCCA based on maximum overlap wavelet transform," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 505-523.
  • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:505-523
    DOI: 10.1016/j.physa.2015.10.070
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    as
    1. Chen, Su-Mei & He, Ling-Yun, 2014. "Welfare loss of China's air pollution: How to make personal vehicle transportation policy," China Economic Review, Elsevier, vol. 31(C), pages 106-118.
    2. Z.-Q. Jiang & L. Guo & W.-X. Zhou, 2007. "Endogenous and exogenous dynamics in the fluctuations of capital fluxes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(3), pages 347-355, June.
    3. Kendal, Wayne S., 2014. "Multifractality attributed to dual central limit-like convergence effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 22-33.
    4. repec:dau:papers:123456789/6969 is not listed on IDEAS
    5. repec:dau:papers:123456789/4222 is not listed on IDEAS
    6. Górski, A.Z & Drożdż, S & Speth, J, 2002. "Financial multifractality and its subtleties: an example of DAX," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 496-510.
    7. Jian Zhou, 2012. "Multiscale Analysis of International Linkages of REIT Returns and Volatilities," The Journal of Real Estate Finance and Economics, Springer, vol. 45(4), pages 1062-1087, November.
    8. Yuan, Ying & Zhuang, Xin-tian & Liu, Zhi-ying, 2012. "Price–volume multifractal analysis and its application in Chinese stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3484-3495.
    9. Zachmann, Georg & von Hirschhausen, Christian, 2008. "First evidence of asymmetric cost pass-through of EU emissions allowances: Examining wholesale electricity prices in Germany," Economics Letters, Elsevier, vol. 99(3), pages 465-469, June.
    10. Alberola, Emilie & Chevallier, Julien & Cheze, Benoi^t, 2008. "Price drivers and structural breaks in European carbon prices 2005-2007," Energy Policy, Elsevier, vol. 36(2), pages 787-797, February.
    11. Wei-Xing Zhou, 2009. "The components of empirical multifractality in financial returns," Papers 0908.1089, arXiv.org, revised Oct 2009.
    12. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.
    13. He, Ling-Yun & Chen, Shu-Peng, 2011. "A new approach to quantify power-law cross-correlation and its application to commodity markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3806-3814.
    14. Maria Mansanet-Bataller & Angel Pardo & Enric Valor, 2007. "CO2 Prices, Energy and Weather," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 73-92.
    15. Kaushik Matia & Yosef Ashkenazy & H. Eugene Stanley, 2003. "Multifractal Properties of Price Fluctuations of Stocks and Commodities," Papers cond-mat/0308012, arXiv.org.
    16. Bunn, Derek W. & Fezzi, Carlo, 2007. "Interaction of European Carbon Trading and Energy Prices," Climate Change Modelling and Policy Working Papers 9092, Fondazione Eni Enrico Mattei (FEEM).
    17. Chevallier, Julien, 2011. "A model of carbon price interactions with macroeconomic and energy dynamics," Energy Economics, Elsevier, vol. 33(6), pages 1295-1312.
    18. Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2008. "Multifractality in stock indexes: Fact or Fiction?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3605-3614.
    19. Chen, Shu-Peng & He, Ling-Yun, 2010. "Multifractal spectrum analysis of nonlinear dynamical mechanisms in China’s agricultural futures markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1434-1444.
    20. He, Ling-Yun & Fan, Ying & Wei, Yi-Ming, 2009. "Impact of speculator's expectations of returns and time scales of investment on crude oil price behaviors," Energy Economics, Elsevier, vol. 31(1), pages 77-84, January.
    21. Ling‐Yun He & Wen‐Si Xie, 2012. "Who has the final say?," China Agricultural Economic Review, Emerald Group Publishing Limited, vol. 4(3), pages 379-390, August.
    22. Julien Chevallier, 2012. "Time-varying correlations in oil, gas and CO 2 prices: an application using BEKK, CCC and DCC-MGARCH models," Applied Economics, Taylor & Francis Journals, vol. 44(32), pages 4257-4274, November.
    23. Derek W. Bunn & Carlo Fezzi, 2007. "Interaction of European Carbon Trading and Energy Prices," Working Papers 2007.63, Fondazione Eni Enrico Mattei.
    24. Zhao, Xiaojun & Shang, Pengjian & Zhao, Chuang & Wang, Jing & Tao, Rui, 2012. "Minimizing the trend effect on detrended cross-correlation analysis with empirical mode decomposition," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 166-173.
    25. repec:dau:papers:123456789/6790 is not listed on IDEAS
    26. 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.
    27. Nason, G.P. & von Sachs, R., 1999. "Wavelets in Time Series Analysis," Papers 9901, Catholique de Louvain - Institut de statistique.
    28. He, Ling-Yun & Chen, Shu-Peng, 2010. "Are crude oil markets multifractal? Evidence from MF-DFA and MF-SSA perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3218-3229.
    29. A. Z. Gorski & S. Drozdz & J. Speth, 2002. "Financial multifractality and its subtleties: an example of DAX," Papers cond-mat/0205482, arXiv.org.
    30. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    31. 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.
    32. Barunik, Jozef & Aste, Tomaso & Di Matteo, T. & Liu, Ruipeng, 2012. "Understanding the source of multifractality in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(17), pages 4234-4251.
    33. Gao-Feng Gu & Wei-Xing Zhou, 2010. "Detrending moving average algorithm for multifractals," Papers 1005.0877, arXiv.org, revised Jun 2010.
    34. Kwapień, J. & Oświe¸cimka, P. & Drożdż, S., 2005. "Components of multifractality in high-frequency stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 466-474.
    35. Daskalakis, George & Markellos, Raphael N., 2009. "Are electricity risk premia affected by emission allowance prices? Evidence from the EEX, Nord Pool and Powernext," Energy Policy, Elsevier, vol. 37(7), pages 2594-2604, July.
    36. Robin Smale & Murray Hartley & Cameron Hepburn & John Ward & Michael Grubb, 2006. "The impact of CO 2 emissions trading on firm profits and market prices," Climate Policy, Taylor & Francis Journals, vol. 6(1), pages 31-48, January.
    37. Zhi-Qiang Jiang & Wei-Xing Zhou, 2011. "Multifractal detrending moving average cross-correlation analysis," Papers 1103.2577, arXiv.org, revised Mar 2011.
    38. 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.
    39. Zhao, Xiaojun & Shang, Pengjian & Lin, Aijing & Chen, Gang, 2011. "Multifractal Fourier detrended cross-correlation analysis of traffic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3670-3678.
    40. Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2007. "Scale invariant distribution and multifractality of volatility multipliers in stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 343-350.
    41. Nicolas Koch, 2014. "Dynamic linkages among carbon, energy and financial markets: a smooth transition approach," Applied Economics, Taylor & Francis Journals, vol. 46(7), pages 715-729, March.
    42. Ling-Yun He & Sheng Yang & Wen-Si Xie & Zhi-Hong Han, 2014. "Contemporaneous and Asymmetric Properties in the Price-Volume Relationships in China's Agricultural Futures Markets," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 50(1S), pages 148-166, January.
    43. Wei-Xing Zhou, 2008. "Multifractal detrended cross-correlation analysis for two nonstationary signals," Papers 0803.2773, arXiv.org.
    44. Turiel, Antonio & Pérez-Vicente, Conrad J., 2005. "Role of multifractal sources in the analysis of stock market time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 475-496.
    45. Khalfaoui, R. & Boutahar, M. & Boubaker, H., 2015. "Analyzing volatility spillovers and hedging between oil and stock markets: Evidence from wavelet analysis," Energy Economics, Elsevier, vol. 49(C), pages 540-549.
    46. Cao, Guangxi & Cao, Jie & Xu, Longbing & He, LingYun, 2014. "Detrended cross-correlation analysis approach for assessing asymmetric multifractal detrended cross-correlations and their application to the Chinese financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 460-469.
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