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A Bayesian Analysis of the PPP Puzzle using an Unobserved Components Model

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  • Richard Kleijn

    ()
    (Econometric Institute, Erasmus University Rotterdam)

  • Herman K. van Dijk

    ()
    (Econometric Institute, Erasmus University Rotterdam)

Abstract

The failure to describe the time series behaviour of most realexchange rates as temporary deviations from fixedlong-term means may be due to time variation of the equilibriathemselves, see Engel (2000). We implement thisidea using an unobserved components model and decompose theobservations on real exchange rates in long-termcomponents, which capture the time-variation of the mean and inmedium and short-term components whichmeasure temporary deviations. A simulation-based Bayesian analysis isintroduced to compute the posteriordistribution of (functions) of the model parameters. A stationaritytest in this setup indicates that the mean isslowly time-varying. Subsequently, we use our flexible model toderive the implied distributions of some keyfeatures of real exchange rates. Most notably, the half-life ofdeviations from the mean, which is a measure ofpersistence, is lowered. This provides a possible explanation for thePPP puzzle.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 01-105/4.

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Date of creation: 20 Nov 2001
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Handle: RePEc:dgr:uvatin:20010105

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Web page: http://www.tinbergen.nl

Related research

Keywords: purchasing power parity puzzle; real exchange rate; time-varying mean; Gibbs sampling;

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References

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  1. Koop, Gary & Dijk, Herman K. Van, 2000. "Testing for integration using evolving trend and seasonals models: A Bayesian approach," Journal of Econometrics, Elsevier, vol. 97(2), pages 261-291, August.
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  3. Sims, Christopher A., 1988. "Bayesian skepticism on unit root econometrics," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 463-474.
  4. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
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  8. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
  9. Neil Shephard & Jurgen Doornik & Siem Jan Koopman, 1998. "Statistical algorithms for models in state space using SsfPack 2.2," Economics Series Working Papers 1998-W06, University of Oxford, Department of Economics.
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  15. Schotman, Peter & van Dijk, Herman K., 1991. "A Bayesian analysis of the unit root in real exchange rates," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 195-238.
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Cited by:
  1. Georgios Chortareas & George Kapetanios, 2013. "How Puzzling Is The Ppp Puzzle? An Alternative Half‐Life Measure Of Convergence To Ppp," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(3), pages 435-457, 04.
  2. Eliana González & Luis F. Melo & Luis E. Rojas & Brayan Rojas, . "Estimations of the natural rate of interest in Colombia," Borradores de Economia 626, Banco de la Republica de Colombia.

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