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Multivariate cointegration and temporal aggregation: some further simulation results

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Abstract

We perform Monte Carlo simulations to study the effect of increasing the frequency of observations and data span on the Johansen (1988, 1995) maximum likelihood cointegration testing approach, as well as on the bootstrap and wild bootstrap implementations of the method developed by Cavaliere et al. (2012, 2014). Considering systems with three and four variables, we find that when both the data span and the frequency vary, the power of the tests depend more on the sample length. We illustrate our findings by investigating the existence of long-run equilibrium relationships among four indicators prices of coffee.

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  • Jesus Otero & Theodore Panagiotidis & Georgios Papapanagiotou, 2020. "Multivariate cointegration and temporal aggregation: some further simulation results," Discussion Paper Series 2020_05, Department of Economics, University of Macedonia, revised Oct 2020.
    • Handle: RePEc:mcd:mcddps:2020_05
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    1. Lahiri, Kajal & Mamingi, Nlandu, 1995. "Testing for cointegration: Power versus frequency of observation -- another view," Economics Letters, Elsevier, vol. 49(2), pages 121-124, August.
    2. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
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    12. Soren Johansen, 2002. "A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model," Econometrica, Econometric Society, vol. 70(5), pages 1929-1961, September.
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    16. Vogelvang, E, 1992. "Hypotheses Testing Concerning Relationships between Spot Prices of Various Types of Coffee," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(2), pages 191-201, April-Jun.
    17. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2012. "Bootstrap Determination of the Co‐Integration Rank in Vector Autoregressive Models," Econometrica, Econometric Society, vol. 80(4), pages 1721-1740, July.
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    Cited by:

    1. Joshua G. Maples & B. Wade Brorsen, 2022. "Handling the discontinuity in futures prices when time series modeling of commodity cash and futures prices," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 70(2), pages 139-152, June.

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    More about this item

    Keywords

    Monte Carlo; Span; Power; Cointegration; Coffee prices.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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