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On a Numerical and Graphical Technique for Evaluating some Models Involving Rational Expectations

  • Søren Johansen

    (Department of Economics, University of Copenhagen and CREATES, University of Aarhus)

  • Anders Rygh Swensen

    (University of Oslo and Statistics Norway)

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 definition 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).

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Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 09-10.

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Length: 30 pages
Date of creation: May 2009
Date of revision:
Handle: RePEc:kud:kuiedp:0910
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  1. Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
  2. Engsted, Tom, 2002. " Measures of Fit for Rational Expectations Models," Journal of Economic Surveys, Wiley Blackwell, vol. 16(3), pages 301-55, July.
  3. Andrea Carriero & Carlo Favero & Iryna Kaminska, 2004. "Financial Factors, Macroeconomic Information and the Expectations Theory of the Term Structure of Interest Rates," Working Papers 253, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  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.
  5. John Y. Campbell & Robert J. Shiller, 1986. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," NBER Working Papers 2100, National Bureau of Economic Research, Inc.
  6. Johansen, Soren, 1995. "Identifying restrictions of linear equations with applications to simultaneous equations and cointegration," Journal of Econometrics, Elsevier, vol. 69(1), pages 111-132, September.
  7. Kurmann, Andre, 2005. "Quantifying the uncertainty about the fit of a new Keynesian pricing model," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1119-1134, September.
  8. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
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