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A unit root model for trending time-series energy variables

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  • Narayan, Paresh Kumar
  • Liu, Ruipeng

Abstract

In this paper, we propose a GARCH-based unit root test that is flexible enough to account for; (a) trending variables, (b) two endogenous structural breaks, and (c) heteroskedastic data series. Our proposed model is applied to a range of time-series, trending, and heteroskedastic energy variables. Our two main findings are: first, the proposed trend-based GARCH unit root model outperforms a GARCH model without trend; and, second, allowing for a time trend and two endogenous structural breaks are important in practice, for doing so allows us to reject the unit root null hypothesis.
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Suggested Citation

  • Narayan, Paresh Kumar & Liu, Ruipeng, 2015. "A unit root model for trending time-series energy variables," Working Papers fe_2015_05, Deakin University, Department of Economics.
  • Handle: RePEc:dkn:ecomet:fe_2015_05
    DOI: 10.1016/j.eneco.2014.11.021
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    References listed on IDEAS

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    1. Smyth, Russell, 2013. "Are fluctuations in energy variables permanent or transitory? A survey of the literature on the integration properties of energy consumption and production," Applied Energy, Elsevier, vol. 104(C), pages 371-378.
    2. Narayan, Paresh Kumar & Liu, Ruipeng, 2011. "Are shocks to commodity prices persistent?," Applied Energy, Elsevier, vol. 88(1), pages 409-416, January.
    3. Kumar Narayan, Paresh & Smyth, Russell, 2007. "Are shocks to energy consumption permanent or temporary? Evidence from 182 countries," Energy Policy, Elsevier, vol. 35(1), pages 333-341, January.
    4. Kumar Narayan, Paresh & Narayan, Seema & Popp, Stephan, 2010. "Energy consumption at the state level: The unit root null hypothesis from Australia," Applied Energy, Elsevier, vol. 87(6), pages 1953-1962, June.
    5. Narayan, Paresh Kumar & Narayan, Seema & Smyth, Russell, 2011. "Energy consumption at business cycle horizons: The case of the United States," Energy Economics, Elsevier, vol. 33(2), pages 161-167, March.
    6. Joakim Westerlund & Paresh Narayan, 2013. "Testing the Efficient Market Hypothesis in Conditionally Heteroskedastic Futures Markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(11), pages 1024-1045, November.
    7. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    8. Narayan, Paresh Kumar & Narayan, Seema & Smyth, Russell, 2008. "Are oil shocks permanent or temporary? Panel data evidence from crude oil and NGL production in 60 countries," Energy Economics, Elsevier, vol. 30(3), pages 919-936, May.
    9. Mishra, Vinod & Smyth, Russell, 2014. "Is monthly US natural gas consumption stationary? New evidence from a GARCH unit root test with structural breaks," Energy Policy, Elsevier, vol. 69(C), pages 258-262.
    10. Narayan, Paresh Kumar & Narayan, Seema & Sharma, Susan Sunila, 2013. "An analysis of commodity markets: What gain for investors?," Journal of Banking & Finance, Elsevier, vol. 37(10), pages 3878-3889.
    11. Smyth, Russell & Narayan, Paresh Kumar, 2015. "Applied econometrics and implications for energy economics research," Energy Economics, Elsevier, vol. 50(C), pages 351-358.
    12. Paresh Kumar Narayan & Stephan Popp, 2010. "A new unit root test with two structural breaks in level and slope at unknown time," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1425-1438.
    13. Diebold, Francis X & Kilian, Lutz, 2000. "Unit-Root Tests Are Useful for Selecting Forecasting Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(3), pages 265-273, July.
    14. Paresh Kumar Narayan & Stephan Popp, 2013. "Size and power properties of structural break unit root tests," Applied Economics, Taylor & Francis Journals, vol. 45(6), pages 721-728, February.
    15. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    16. Paolo Agnolucci & Andrew Venn, 2011. "Industrial energy intensities in the UK: is there a deterministic or stochastic difference among sectors?," Applied Economics, Taylor & Francis Journals, vol. 43(12), pages 1447-1462.
    17. Salisu, Afees A. & Mobolaji, Hakeem, 2013. "Modeling returns and volatility transmission between oil price and US–Nigeria exchange rate," Energy Economics, Elsevier, vol. 39(C), pages 169-176.
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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • F30 - International Economics - - International Finance - - - General
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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