Adaptive ARFIMA models with applications to inflation
AbstractMany 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 that 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Economic Modelling.
Volume (Year): 29 (2012)
Issue (Month): 6 ()
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Web page: http://www.elsevier.com/locate/inca/30411
ARFIMA; FIGARCH; Long memory; Structural change; Inflation; G7;
Find related papers by JEL classification:
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
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- Diebold, Francis X. & Inoue, Atsushi, 2001.
"Long memory and regime switching,"
Journal of Econometrics, Elsevier,
Elsevier, vol. 105(1), pages 131-159, November.
- Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, American Economic Association, vol. 98(5), pages 2101-26, December.
- Barbara Meller & Dieter Nautz, 2009.
"The Impact of the European Monetary Union on Inflation Persistence in the Euro Area,"
SFB 649 Discussion Papers
SFB649DP2009-037, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Meller, Barbara & Nautz, Dieter, 2009. "The impact of the European Monetary Union on inflation persistence in the euro area," Discussion Papers 2009/8, Free University Berlin, School of Business & Economics.
- MarÃa Dolores Gadea & Laura Mayoral, 2006.
"The Persistence of Inflation in OECD Countries: A Fractionally Integrated Approach,"
International Journal of Central Banking, International Journal of Central Banking,
International Journal of Central Banking, vol. 2(1), March.
- Gadea, Maria & Mayoral, Laura, 2005. "The Persistence of Inflation in OECD Countries: A Fractionally Integrated Approach," MPRA Paper 815, University Library of Munich, Germany.
- Laura Mayoral, 2005. "The persistence of inflation in OECD countries: A fractionally integrated approach," Economics Working Papers 958, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2005.
- Hassler, Uwe & Wolters, Jurgen, 1995. "Long Memory in Inflation Rates: International Evidence," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 13(1), pages 37-45, January.
- AndrÃ©s GonzÃ¡lez & Kirstin Hubrich & Timo TerÃ¤svirta, 2009.
"Forecasting inflation with gradual regime shifts and exogenous information,"
CREATES Research Papers
2009-03, School of Economics and Management, University of Aarhus.
- GonzÃ¡lez, AndrÃ©s & Hubrich, Kirstin & TerÃ¤svirta, Timo, 2011. "Forecasting inflation with gradual regime shifts and exogenous information," Working Paper Series, European Central Bank 1363, European Central Bank.
- Bagliano, Fabio C. & Morana, Claudio, 2003. "Measuring US core inflation: A common trends approach," Journal of Macroeconomics, Elsevier, Elsevier, vol. 25(2), pages 197-212, June.
- Katsumi Shimotsu, 2006. "Simple (but effective) tests of long memory versus structural breaks," Working Papers, Queen's University, Department of Economics 1101, Queen's University, Department of Economics.
- Claudio Morana, 2007.
"A structural common factor approach to core inflation estimation and forecasting,"
Applied Economics Letters, Taylor & Francis Journals,
Taylor & Francis Journals, vol. 14(3), pages 163-169.
- Morana, Claudio, 2004. "A structural common factor approach to core inflation estimation and forecasting," Working Paper Series, European Central Bank 0305, European Central Bank.
- Christopher F. Baum & John T. Barkoulas & Mustafa Caglayan, 1999.
"Persistence in International Inflation Rates,"
Southern Economic Journal,
Southern Economic Association, vol. 65(4), pages 900-913, April.
- Christopher F. Baum & John Barkoulas & Mustafa Caglayan, 1996. "Persistence in International Inflation Rates," Boston College Working Papers in Economics, Boston College Department of Economics 333., Boston College Department of Economics.
- Philip Hans Franses & Marius Ooms & Charles S. Bos, 1999.
"Long memory and level shifts: Re-analyzing inflation rates,"
Empirical Economics, Springer,
Springer, vol. 24(3), pages 427-449.
- Franses, Ph.H.B.F. & Ooms, M. & Bos, C.S., 1998. "Long memory and level shifts: re-analysing inflation rates," Econometric Institute Research Papers EI 9811, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Charles S. Bos & Philip Hans Franses & Marius Ooms, 1998. "Long Memory and Level Shifts: Re-Analyzing Inflation Rates," Tinbergen Institute Discussion Papers 98-039/4, Tinbergen Institute.
- Claudio Morana & Fabio Cesare Bagliano, 2007. "Inflation and monetary dynamics in the USA: a quantity-theory approach," Applied Economics, Taylor & Francis Journals, Taylor & Francis Journals, vol. 39(2), pages 229-244.
- Morana Claudio, 2002. "Common Persistent Factors in Inflation and Excess Nominal Money Growth and a New Measure of Core Inflation," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-40, November.
- Hyung, Namwon & Franses, Philip Hans & Penm, Jack, 2006.
"Structural breaks and long memory in US inflation rates: Do they matter for forecasting?,"
Research in International Business and Finance, Elsevier,
Elsevier, vol. 20(1), pages 95-110, March.
- Hyung, N. & Franses, Ph.H.B.F., 2001. "Structural breaks and long memory in US inflation rates: do they matter for forecasting?," Econometric Institute Research Papers EI 2001-13, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Andersen, Torben G. & Bollerslev, Tim, 1997. "Intraday periodicity and volatility persistence in financial markets," Journal of Empirical Finance, Elsevier, Elsevier, vol. 4(2-3), pages 115-158, June.
- Manmohan S. Kumar & Tatsuyoshi Okimoto, 2007. "Dynamics of Persistence in International Inflation Rates," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 39(6), pages 1457-1479, 09.
- Denise Osborn & Marianne Sensier, 2007.
"UK inflation: persistance, seasonality and monetary policy,"
The School of Economics Discussion Paper Series, Economics, The University of Manchester
0716, Economics, The University of Manchester.
- Denise R. Osborn & Marianne Sensier, 2009. "Uk Inflation: Persistence, Seasonality And Monetary Policy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 56(1), pages 24-44, 02.
- Allan D. Brunner & Gregory D. Hess, 1990.
"Are higher levels of inflation less predictable? A state-dependent conditional heteroskedasticity approach,"
Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.)
141, Board of Governors of the Federal Reserve System (U.S.).
- Brunner, Allan D & Hess, Gregory D, 1993. "Are Higher Levels of Inflation Less Predictable? A State-Dependent Conditional Heteroscedasticity Approach," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 11(2), pages 187-97, April.
- Baillie, Richard T & Chung, Ching-Fan & Tieslau, Margie A, 1996. "Analysing Inflation by the Fractionally Integrated ARFIMA-GARCH Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 11(1), pages 23-40, Jan.-Feb..
- Baillie, Richard T. & Kapetanios, George, 2007. "Testing for Neglected Nonlinearity in Long-Memory Models," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 25, pages 447-461, October.
- Cogley, Timothy, 2002. "A Simple Adaptive Measure of Core Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 34(1), pages 94-113, February.
- Christian Conrad & Berthold R. Haag, 2006. "Inequality Constraints in the Fractionally Integrated GARCH Model," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(3), pages 413-449.
- Granger, Clive W. J. & Hyung, Namwon, 2004. "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns," Journal of Empirical Finance, Elsevier, Elsevier, vol. 11(3), pages 399-421, June.
- Claudio Morana, 2013. "Factor Vector Autoregressive Estimation of Heteroskedastic Persistent and Non Persistent Processes Subject to Structural Breaks: New Insights on the US OIS SPreads Term Structure," Working Papers, University of Milano-Bicocca, Department of Economics 233, University of Milano-Bicocca, Department of Economics, revised Feb 2013.
- Karim Abadir & Giovanni Caggiano & Gabriel Talmain, 2005.
"Nelson-Plosser Revisited: the ACF Approach,"
Working Papers, Business School - Economics, University of Glasgow
2005_7, Business School - Economics, University of Glasgow.
- Karim M. Abadir & Gabriel Talmain & Giovanni Caggiano, 2008. "Nelson-Plosser revisited: the ACF approach," Working Paper Series, The Rimini Centre for Economic Analysis 18-08, The Rimini Centre for Economic Analysis, revised Jan 2008.
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