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Forecasting in the Presence of Level Shifts

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  • Smith, Aaron D.

Abstract

This article addresses the problem of forecasting time series that are subject to level shifts. Processes with level shifts possess a nonlinear dependence structure. Using the stochastic permanent breaks (STOPBREAK) model, I model this nonlinearity in a direct and flexible way that avoids imposing a discrete regime structure. I apply this model to the rate of price inflation in the United States, which I show is subject to level shifts. These shifts significantly affect the accuracy of out-of-sample forecasts, causing models that assume covariance stationarity to be substantially biased. Models that do not assume covariance stationarity, such as the random walk, are unbiased but lack precision in periods without shifts. I show that the STOPBREAK model outperforms several alternative models in an out-of-sample inflation forecasting experiment.

Suggested Citation

  • Smith, Aaron D., 2004. "Forecasting in the Presence of Level Shifts," Working Papers 11985, University of California, Davis, Department of Agricultural and Resource Economics.
  • Handle: RePEc:ags:ucdavw:11985
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    References listed on IDEAS

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    Cited by:

    1. Rossi, Barbara, 2013. "Advances in Forecasting under Instability," Handbook of Economic Forecasting, Elsevier.
    2. Bradley, Michael D. & Jansen, Dennis W. & Sinclair, Tara M., 2015. "How Well Does “Core” Inflation Capture Permanent Price Changes?," Macroeconomic Dynamics, Cambridge University Press, vol. 19(04), pages 791-815, June.
    3. Mathieu Gatumel & Florian Ielpo, 2014. "The Number Of Regimes Across Asset Returns: Identification And Economic Value," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1-25.

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