Assesing Hp Filter Performance for Argentina and U.S. Macro Aggregates

Hodrick-Prescott filter has been the favourite empirical technique among researchers studying “cycles”. Software facilities and the optimality criterion, from which the filter can be derived, can explain its wide use. However, different shortcomings and drawbacks have been pointed out in the literature, as alteration of variability and persistence and detecting spurious cycles and correlations. This paper discusses these criticisms from an empirical point of view trying to clarify what the filter can and cannot do. In particular, a less mechanical use for descriptive analysis is proposed: testing how the estimated cyclical component behaves and using autocorrelation adjusted standard errors to evaluate cross correlations to differentiate the “genuine” from “spurious” case. Simulation results to test these bivariate correlations when there is a “genuine” relationship are presented. Some examples of descriptive analysis for macro aggregates (real activity, trade flows and money) of Argentina and USA are reported to show that not always the filter is appropriate. Simple tools are used to appreciate how the filtered series result and to evaluate cross correlations.

[1]  Ragnar Nymoen,et al.  Business Cycles: Real Facts or Fallacies? , 1994 .

[2]  K. Singleton Econometric issues in the analysis of equilibrium business cycle models , 1988 .

[3]  C. Nelson,et al.  Trends and random walks in macroeconmic time series: Some evidence and implications , 1982 .

[4]  David F. Hendry,et al.  Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England. , 1978 .

[5]  Edward C. Prescott,et al.  FORTRAN code for the Hodrick-Prescott filter , 1982 .

[6]  Finn E. Kydland,et al.  Time to Build and Aggregate Fluctuations , 1982 .

[7]  P. Perron,et al.  Trends and random walks in macroeconomic time series : Further evidence from a new approach , 1988 .

[8]  E. Prescott,et al.  Postwar U.S. Business Cycles: An Empirical Investigation , 1997 .

[9]  A. Harvey,et al.  Detrending, stylized facts and the business cycle , 1993 .

[10]  Finn E. Kydland,et al.  Business cycles: real facts and a monetary myth , 1990 .

[11]  Neil R. Ericsson,et al.  Cointegration, seasonality, encompassing, and the demand for money in the United Kingdom , 1993 .

[12]  F. Canova Detrending and business cycle facts , 1998 .

[13]  Finn E. Kydland,et al.  Is the Business Cycle of Argentina "Different"? , 1997 .

[14]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[15]  Simon van Norden,et al.  GAUSS code for the Hodrick-Prescott filter , 1995 .

[16]  Sergio Rebelo,et al.  Low Frequency Filtering And Real Business Cycles , 1993 .

[17]  E. Prescott Theory ahead of business-cycle measurement , 1986 .

[18]  Timothy Cogley,et al.  Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research , 1995 .

[19]  Fabio Canova,et al.  Detrending and turning points , 1994 .

[20]  M. Ravn,et al.  On Adjusting the Hp-Filter for the Frequency of Observations , 2001, SSRN Electronic Journal.

[21]  Jurgen A. Doornik,et al.  Givewin: An Interface for Empirical Modelling , 1999 .

[22]  Andrew Harvey,et al.  Forecasting, Structural Time Series Models and the Kalman Filter , 1990 .