Skip to main content
Log in

Garch effects on a test of cointegration

  • Published:
Review of Quantitative Finance and Accounting Aims and scope Submit manuscript

Abstract

This article discusses the effects of GARCH type error processes on the use of the Engle and Granger cointegration test for two variables. Simulation results indicate that (nearly) integrated GARCH processes, as well as GARCH processes that are not covariance stationary, change the critical values. An application to testing for cointegration between spot and futures prices illustrates the practical relevance of using the appropriate critical values.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bessler, D.A. and T. Covey, “Cointegration: Some Results on U.S. Cattle Prices.”Journal of Futures Markets 11, 461–474, (1991).

    Google Scholar 

  • Brenner, R.J. and K.F. Kroner, “Arbitrage and Cointegration,” Unpublished Manuscript, University of Arizona, (1992).

  • Bollerslev, T., “Generalized Autoregressive Conditional Heteroskedasticity.”Journal of Econometrics 31, 307–327, (1986).

    Google Scholar 

  • Bollerslev, T., R.Y. Chou, and K.F. Kroner, “ARCH Modeling in Finance: A Review of the Theory and Empirical Evidence.”Journal of Econometrics 52, 5–59, (1992).

    Google Scholar 

  • Engle, R.F., and C.W.J. Granger, “Cointegration and Error Correction Representation, Estimation and Testing,”Econometrica 55, 251–276, (1987).

    Google Scholar 

  • Garbade, K.D., and W.L. Silber, “Price Movements and Price Discovery in Futures and Cash Markets.”Review of Economics and Statistics 65, 289–297, (1983).

    Google Scholar 

  • Haldrup, N., “Heteroscedasticity in Non-Stationary Time Series, Some Monte Carlo Evidence.” Unpublished manuscript, University of Aarhus, (1992).

  • Johansen, S., “Statistical Analysis of Cointegration Vectors.”Journal of Economic Dynamics and Control 12, 231–254, (1988).

    Google Scholar 

  • Kim, K. and P. Schmidt, “Unit Root Tests with Conditional Heteroskedasticity.” Unpublished manuscript, Michigan State University, (1992).

  • Nelson, D.B., “Stationarity and Persistence in the GARCH(1,1) Model.”Econometric Theory 6, 318–334, (1990).

    Google Scholar 

  • Pantula, S.G., “Estimation of Autoregressive Models with Arch Errors.”Sankhya B 50, 119–138, (1988).

    Google Scholar 

  • Phillips, P.C.B., “Optimal Inference in Cointegrated Systems.”Econometrica 59, 283–306, (1991).

    Google Scholar 

  • Phillips, P.C.B. and S. Ouliaris, “Asymptotic Distribution of Residual Based Tests for Cointegration.”Econometrica 58, 165–193, (1990).

    Google Scholar 

  • Quan, J., “Two-Step Testing Procedure for Price Discovery Role of Futures Prices.”Journal of Futures Markets 12, 139–149, (1992).

    Google Scholar 

  • Schroder, T.C. and B.K. Goodwin, “Price Discovery and Cointegration for Live Hogs.”Journal of Futures Markets 11, 685–696, (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Franses, P.H., Kofman, P. & Moser, J. Garch effects on a test of cointegration. Rev Quant Finan Acc 4, 19–26 (1994). https://doi.org/10.1007/BF01082662

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01082662

Key words

Navigation