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Some Evidence of Smooth Transition Nonlinearity in Colombian Inflation

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  • Luis Eduardo Arango

    ()

  • Andrés González

Abstract

Evidence of smooth transition autoregressive (STAR) representations is found in two, out of three, time series of different measures of annual inflation in Colombia during this decade for monthly data. The STAR-type nonlinearities are asymmetric for inflation computed as the variation of CPI while for (a measure of) core inflation are symmetric. Thus, LSTAR and ESTAR models were, respectively, estimated. No evidence of nonlinearity is found for traded goods inflation. Given the local dynamic properties of the estimated LSTAR model, only positive shocks to prices could shift negative accelerating inflation rate from the upper to the lower regime. By the same token, only stochastic shocks can move the core accelerating inflation rate from the outer regime to the middle one but the explosive nature of this regime will impulse accelerating inflation rate to the outer one.

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Paper provided by Banco de la Republica de Colombia in its series Borradores de Economia with number 105.

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Handle: RePEc:bdr:borrec:105

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Keywords: nonlinearity; core inflation; regimes; logistic and exponential transition functions.;

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  1. Luis Eduardo Arango T., 1998. "Some Univariate Time Series Properties Of Output," BORRADORES DE ECONOMIA 003516, BANCO DE LA REPÚBLICA.
  2. Luis Fernando Melo & Franz A.Hamann, . "Inflación Básica.Una Estimación Basada en Modelos VAR Estructurales," Borradores de Economia 093, Banco de la Republica de Colombia.
  3. Quah, Danny & Vahey, Shaun P, 1995. "Measuring Core Inflation?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1130-44, September.
  4. Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
  5. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  6. N. Gregory Mankiw, 1994. "Monetary Policy," NBER Books, National Bureau of Economic Research, Inc, number greg94-1, October.
  7. Clive W. Granger & Timo Terasvirta & Heather M. Anderson, 1993. "Modeling Nonlinearity over the Business Cycle," NBER Chapters, in: Business Cycles, Indicators and Forecasting, pages 311-326 National Bureau of Economic Research, Inc.
  8. D. A. Peel & A. E. H. Speight, 1998. "Threshold nonlinearities in output: some international evidence," Applied Economics, Taylor & Francis Journals, vol. 30(3), pages 323-333.
  9. Michael F. Bryan & Stephen G. Cecchetti, 1993. "Measuring Core Inflation," NBER Working Papers 4303, National Bureau of Economic Research, Inc.
  10. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
  11. Parkin, Michael, 1984. "On core inflation by Otto Eckstein : A review essay," Journal of Monetary Economics, Elsevier, vol. 14(2), pages 251-264, September.
  12. Cao, C Q & Tsay, R S, 1992. "Nonlinear Time-Series Analysis of Stock Volatilities," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S165-85, Suppl. De.
  13. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S119-36, Suppl. De.
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Cited by:
  1. Juan Carlos Cuestas & Estefanía Mourelle, 2009. "Inflation persistence and asymmetries: evidence for African countries," Working Papers 2009/2, Nottingham Trent University, Nottingham Business School, Economics Division.
  2. Martha Misas Arango & Enrique López Enciso & Pablo Querubín, 2002. "La Inflación En Colombia: Una Aproximación Desde Las Redes Neuronales," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE.
  3. Luis Fernando Melo & Martha Misas A., . "Modelos Estructurales de Inflación en Colombia: Estimación a Través de Mínimos Cuadrados Flexibles," Borradores de Economia 283, Banco de la Republica de Colombia.
  4. Li, Yushu & Shukur, Ghazi, 2009. "Testing for Unit Root against LSTAR model – wavelet improvements under GARCH distortion," Working Paper Series in Economics and Institutions of Innovation 184, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
  5. Faria, João Ricardo & Cuestas, Juan Carlos & Mourelle, Estefanía, 2010. "Entrepreneurship and unemployment: A nonlinear bidirectional causality?," Economic Modelling, Elsevier, vol. 27(5), pages 1282-1291, September.
  6. Pillai N., Vijayamohanan, 2008. "In Quest of Truth: The War of Methods in Economics," MPRA Paper 8866, University Library of Munich, Germany.
  7. María Clara Aristizábal Restrepo, . "Evaluación asimétrica de una red neuronal artificial:Aplicación al caso de la inflación en Colombia," Borradores de Economia 377, Banco de la Republica de Colombia.
  8. Andrew Phiri, 2012. "Threshold effects and inflation persistence in South Africa," Journal of Financial Economic Policy, Emerald Group Publishing, vol. 4(3), pages 247-269, August.
  9. Kulaksizoglu, Tamer & Kulaksizoglu, Sebnem, 2009. "The U.S. Excess Money Growth and Inflation Relation in the Long-Run: A Nonlinear Analysis," MPRA Paper 23780, University Library of Munich, Germany.
  10. Munir A. Jalil & Luis Fernando Melo, . "Una Relación no Líneal entre Inflación y los Medios de Pago," Borradores de Economia 145, Banco de la Republica de Colombia.

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