Adaptive ARFIMA Models with Applications to Inflation
Posted: 3 Mar 2009 Last revised: 9 Jun 2013
Date Written: October 11, 2011
Many previous analyses of inflation have used either long memory or nonlinear time series models. This paper suggests a simple adaptive modification of the basic ARFIMA model, which uses a Flexible Fourier Form to allow for a time varying intercept. Simulation evidence suggests the model provides a good representation of various forms of structural breaks and also that the new model can be efficiently estimated by a QMLE approach. We investigate monthly CPI inflation series for the G7 countries and find evidence of stable long memory parameters across regimes and also of significant nonlinear effects. The estimated adaptive ARFIMA models generally have less persistent long memory parameters than previous studies, with the estimated time dependent intercept being an important component. The model is also supplemented with an adaptive FIGARCH component, yielding a double nonlinear long memory model.
Keywords: ARFIMA, FIGARCH, long memory, structural change, inflation, G7
JEL Classification: C15, C22
Suggested Citation: Suggested Citation