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On a numerical and graphical technique for evaluating some models involving rational expectations

Author

Listed:
  • Søren Johansen

    (University of Copenhagen and CREATES)

  • Anders Rygh Swensen

    (University of Oslo and Statistics Norway)

Abstract

Campbell and Shiller (1987) proposed a graphical technique for the present value model which consists of plotting the spread and theoretical spread as calculated from the cointegrated vector autoregressive model. We extend these techniques to a number of rational expectation models and give a general de¯nition of spread and theoretical spread. The main results are the asymptotic distributions of the variance ratio, noise ratio, and correlation between the estimated spread and theoretical spreads. We derive sup tests for the recursively calculated quantities. Finally we apply the methods to two previous studies by Campbell and Shiller (1987) and Engsted (2002).

Suggested Citation

  • Søren Johansen & Anders Rygh Swensen, 2009. "On a numerical and graphical technique for evaluating some models involving rational expectations," CREATES Research Papers 2009-19, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2009-19
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    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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