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Cointegration Analysis of Commodity Prices: Much Ado about the Wrong Thing?

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  • Mallory, Mindy L.
  • Lence, Sergio H.

Abstract

This study highlights some problems with using the Johansen cointegration statistics on data containing a negative moving average (NMA) in the error term of the data generating process. We use a Monte Carlo experiment to demonstrate that the asymptotic distribution of the Johansen cointegration statistics is sensitive to the NMA parameters and that using the stated 5% critical values results in severe size distortion. In our experiment, using the asymptotic critical values resulted in empirical size of 76% in the worst case. To date a NMA in the error term was known to cause poor small sample performance of the Johansen cointegration statistics; however our study demonstrates that problems associated with a NMA in the error term do not improve as sample size increases. In fact, the problems become more severe. Further, we show that commodity prices in the U.S. tend to exhibit this property. We recommend that researchers pretest data for NMA in the error term before using the standard asymptotic critical values to test for cointegrating rank.

Suggested Citation

  • Mallory, Mindy L. & Lence, Sergio H., 2010. "Cointegration Analysis of Commodity Prices: Much Ado about the Wrong Thing?," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61721, Agricultural and Applied Economics Association.
    • Handle: RePEc:ags:aaea10:61721
    DOI: 10.22004/ag.econ.61721
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    References listed on IDEAS

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    1. Lutkepohl, Helmut & Claessen, Holger, 1997. "Analysis of cointegrated VARMA processes," Journal of Econometrics, Elsevier, vol. 80(2), pages 223-239, October.
    2. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    3. Mohsen Bahmani-Oskooee, 1998. "Cointegration Approach to Estimate the Long-Run Trade Elasticities in LDCs," International Economic Journal, Taylor & Francis Journals, vol. 12(3), pages 89-96.
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    Cited by:

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    2. Erten, Bilge & Ocampo, José Antonio, 2013. "Super Cycles of Commodity Prices Since the Mid-Nineteenth Century," World Development, Elsevier, vol. 44(C), pages 14-30.
    3. Anton Bekkerman & Thomas Gumbley & Gary W. Brester, 2021. "The Impacts of Biofuel Policies on Spatial and Vertical Price Relationships in the US Fertilizer Industry," Applied Economic Perspectives and Policy, John Wiley & Sons, vol. 43(2), pages 802-822, June.

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