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Exact Rational Expectations, Cointegration, and Reduced Rank Regression

Author

Listed:
  • Soren Johansen

    (Department of Economics, University of Copenhagen)

  • Anders Rygh Swensen

    (University of Oslo)

Abstract

We interpret the linear relations from exact rational expectations models as restrictions on the parameters of the statistical model called the cointegrated vector autoregressive model for non-stationary variables. We then show how reduced rank regression, Anderson (1951), plays an important role in the calculation of maximum likelihood estimation of the restricted parameters.

Suggested Citation

  • Soren Johansen & Anders Rygh Swensen, 2007. "Exact Rational Expectations, Cointegration, and Reduced Rank Regression," Discussion Papers 07-29, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0729
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    File URL: http://www.econ.ku.dk/english/research/publications/wp/2007/0729.pdf/
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    References listed on IDEAS

    as
    1. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    2. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    3. Søren Johansen & Anders Rygh Swensen, 2004. "More on testing exact rational expectations in cointegrated vector autoregressive models: Restricted constant and linear term," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 389-397, December.
    4. Johansen, Soren & Swensen, Anders Rygh, 1999. "Testing exact rational expectations in cointegrated vector autoregressive models," Journal of Econometrics, Elsevier, vol. 93(1), pages 73-91, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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