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Cointegration between carbon spot and futures prices: from linear to nonlinear modeling

Author

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  • Julien Chevallier

    (University Paris Dauphine)

Abstract

This paper develops two nonlinear cointegration models - a VECM with structural shift and a threshold cointegration model - applied to carbon spot and futures prices. The results extend the previous findings by Chevallier (2010), who studied this topic with a linear VECM. First, in the VECM with structural shift, we observe that the returns of carbon spot and futures prices correct the deviations to the long-term equilibrium, with the futures price being the leader in the price discovery. Besides, we identify a breakpoint in July 2008, which may be related to the financial crisis and its effects on the carbon market. Second, we use Hansen and Seo's (2002) methodology, which points out the need to consider threshold cointegration models. We find strong error-correction effects for the carbon futures price. Asymmetry is implied in the sense that the carbon futures price governs most of the adjustment from the short-run to the long-run equilibrium of the model above or below the estimated threshold.

Suggested Citation

  • Julien Chevallier, 2012. "Cointegration between carbon spot and futures prices: from linear to nonlinear modeling," Economics Bulletin, AccessEcon, vol. 32(1), pages 160-181.
  • Handle: RePEc:ebl:ecbull:eb-11-00808
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    References listed on IDEAS

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    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    2. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
    3. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    4. repec:dau:papers:123456789/4237 is not listed on IDEAS
    5. repec:ebl:ecbull:v:3:y:2003:i:11:p:1-9 is not listed on IDEAS
    6. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    7. Carsten Trenkler, 2003. "A new set of critical values for systems cointegration tests with a prior adjustment for deterministic terms," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-9.
    8. Helmut Lütkepohl & Pentti Saikkonen & Carsten Trenkler, 2004. "Testing for the Cointegrating Rank of a VAR Process with Level Shift at Unknown Time," Econometrica, Econometric Society, vol. 72(2), pages 647-662, March.
    9. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    10. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    11. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    12. Chevallier, Julien, 2011. "Evaluating the carbon-macroeconomy relationship: Evidence from threshold vector error-correction and Markov-switching VAR models," Economic Modelling, Elsevier, vol. 28(6), pages 2634-2656.
    13. repec:dau:papers:123456789/6970 is not listed on IDEAS
    14. Emilie Alberola & Julien Chevallier, 2009. "European Carbon Prices and Banking Restrictions: Evidence from Phase I (2005-2007)," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 51-80.
    15. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    16. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    17. Julien Chevallier, 2010. "A Note on Cointegrating and Vector Autoregressive Relationships between CO2 allowances spot and futures prices," Economics Bulletin, AccessEcon, vol. 30(2), pages 1564-1584.
    18. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
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    2. Benschopa, Thijs & López Cabreraa, Brenda, 2014. "Volatility modelling of CO2 emission allowance spot prices with regime-switching GARCH models," SFB 649 Discussion Papers 2014-050, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    3. Xu, Jia & Tan, Xiujie & He, Gang & Liu, Yu, 2019. "Disentangling the drivers of carbon prices in China's ETS pilots — An EEMD approach," Technological Forecasting and Social Change, Elsevier, vol. 139(C), pages 1-9.
    4. Gil-Alana, Luis A. & Gupta, Rangan & de Gracia, Fernando Perez, 2016. "Modeling persistence of carbon emission allowance prices," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 221-226.
    5. Cong, Ren & Lo, Alex Y., 2017. "Emission trading and carbon market performance in Shenzhen, China," Applied Energy, Elsevier, vol. 193(C), pages 414-425.

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    More about this item

    Keywords

    Cointegration; VECM with Structural Shift; Threshold Cointegration; Carbon Price; Spot Price; Futures Price;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • Q4 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy

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