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Testing for Cointegration in the Presence of Moving Average Errors

Author

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  • Mallory Mindy

    (University of Illinois at Urbana-Champaign)

  • Lence Sergio H.

    (Iowa State University)

Abstract

This study explores performance of the Johansen cointegration statistics on data containing negative moving average (NMA) errors. Monte Carlo experiments demonstrate that the asymptotic distributions of the statistics are sensitive to NMA parameters, and that using the standard 5% asymptotic critical values results in severe underestimation of the actual test sizes. We demonstrate that problems associated with NMA errors do not decrease as sample size increases; instead, they become more severe. Further we examine evidence that many U.S. commodity prices are characterized by NMA errors. Pretesting data is recommended before using standard asymptotic critical values for Johansen’s cointegration tests.

Suggested Citation

  • Mallory Mindy & Lence Sergio H., 2012. "Testing for Cointegration in the Presence of Moving Average Errors," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-68, November.
    • Handle: RePEc:bpj:jtsmet:v:4:y:2012:i:2:n:2
    DOI: 10.1515/1941-1928.1124
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    3. Mpho Bosupeng, 2015. "The Fisher Effect Using Differences in The Deterministic Term," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 5(4), pages 1031-1031.
    4. Bosupeng, Mpho, 2015. "On Exports and Economic Growth-Multifarious Economies Perspective," MPRA Paper 77922, University Library of Munich, Germany, revised 2015.
    5. Mallory Mindy & Lence Sergio H., 2012. "Testing for Cointegration in the Presence of Moving Average Errors," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-68, November.
    6. Eroğlu, Burak Alparslan, 2019. "Wavelet variance ratio cointegration test and wavestrapping," Journal of Multivariate Analysis, Elsevier, vol. 171(C), pages 298-319.
    7. Daniel Greenfield & Bruce Kobayashi & Jeremy Sandford & Christopher Taylor & Nathan Wilson, 2019. "Economics at the FTC: Quantitative Analyses of Two Chemical Manufacturing Mergers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 55(4), pages 607-623, December.
    8. Jason R. V. Franken & Scott H. Irwin, 2024. "Revisiting biodiesel hedging," Agribusiness, John Wiley & Sons, Ltd., vol. 40(4), pages 1002-1015, October.
    9. Burak Eroglu, 2017. "Wavelet Variance Ratio Test And Wavestrapping For The Determination Of The Cointegration Rank," Working Papers 1706, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
    10. Osabuohien-Irabor Osarumwense & Julian I. Mbegbu, 2017. "Power and Size analysis of Co-integration tests in Conditional Heteroskedascity: A Monte Carlo Simulation," Romanian Statistical Review, Romanian Statistical Review, vol. 65(3), pages 17-34, September.
    11. Burak Eroglu & Kemal Caglar Gogebakan & Mirza Trokic, 2017. "Fractional Seasonal Variance Ratio Unit Root Tests," Working Papers 1707, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
    12. Franken, Jason R.V. & Irwin, Scott H. & Garcia, Philip, 2021. "Biodiesel hedging under binding renewable fuel standard mandates," Energy Economics, Elsevier, vol. 96(C).

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    More about this item

    Keywords

    cointegration; Johansen cointegration test; moving average;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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