Multi-horizon inflation forecasts using disaggregated data

In this paper we use multi-horizon evaluation techniques to produce monthly inflation forecasts for up to twelve months ahead. The forecasts are based on individual seasonal time series models that consider both, deterministic and stochastic seasonality, and on disaggregated Consumer Price Index (CPI) data. After selecting the best forecasting model for each index, we compare the individual forecasts to forecasts produced using two methods that aggregate hierarchical time series, the bottom-up method and an optimal combination approach. Applying these techniques to 16 indices of the Mexican CPI, we find that the best forecasts for headline inflation are able to compete with those taken from surveys of experts.

[1]  George Athanasopoulos,et al.  Hierarchical forecasts for Australian domestic tourism , 2009 .

[2]  Antoni Espasa,et al.  Forecasting inflation in the European Monetary Union: A disaggregated approach by countries and by sectors , 2002 .

[3]  K. Hubrich Forecasting Euro Area Inflation: Does Aggregating Forecasts by Hicp Component Improve Forecast Accuracy? , 2003 .

[4]  On comparing multi-horizon forecasts , 2006 .

[5]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[6]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[7]  Clive W. J. Granger,et al.  The typical spectral shape of an economic variable , 1966 .

[8]  Min Wei,et al.  Do Macro Variables, Asset Markets or Surveys Forecast Inflation Better? , 2005 .

[9]  Philip Hans Franses,et al.  Periodicity and Stochastic Trends in Economic Time Series , 1996 .

[10]  D. Osborn,et al.  Forecasting Seasonal Time Series , 2006 .

[11]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[12]  C. Granger,et al.  Forecasting Economic Time Series. , 1988 .

[13]  Eric Ghysels,et al.  Chapter 13 Forecasting Seasonal Time Series , 2006 .

[14]  Mark W. Watson,et al.  Has inflation become harder to forecast , 2005 .

[15]  A. Rúa,et al.  Forecasting inflation through a bottom-up approach: How bottom is bottom? , 2007 .

[16]  Étienne Gagnon,et al.  Price Setting During Low and High Inflation: Evidence from Mexico , 2007 .

[17]  Francis X. Diebold,et al.  Unit-Root Tests Are Useful for Selecting Forecasting Models , 1999 .

[18]  K. West,et al.  Asymptotic Inference about Predictive Ability , 1996 .

[19]  D. Osborn Unit root versus deterministic representations of seasonality for forecasting , 2002 .

[20]  Byung Sam Yoo,et al.  Seasonal integration and cointegration , 1990 .

[21]  Michael P. Clements,et al.  A companion to economic forecasting , 2004 .

[22]  D. Osborn,et al.  Performance of seasonal unit root tests for monthly data , 1999 .

[23]  Rob J. Hyndman,et al.  Optimal combination forecasts for hierarchical time series , 2011, Comput. Stat. Data Anal..

[24]  Denise R. Osborn,et al.  The Econometric Analysis of Seasonal Time Series , 2001 .

[25]  A. Noriega,et al.  A time-series approach to test a change in inflation persistence: the Mexican experience , 2010 .