On Adjusting the Hodrick-Prescott Filter for the Frequency of Observations

This paper studies how the Hodrick-Prescott filter should be adjusted when changing the frequency of observations. It complements the results of Baxter and King (1999) with an analytical analysis, demonstrating that the filter parameter should be adjusted by multiplying it with the fourth power of the observation frequency ratios. This yields an HP parameter value of 6.25 for annual data given a value of 1600 for quarterly data. The relevance of the suggestion is illustrated empirically.

[1]  A. Sahin,et al.  Why Did the Average Duration of Unemployment Become So Much Longer , 2009 .

[2]  Alessandra Iacobucci,et al.  A Frequency Selective Filter for Short-Length Time Series , 2005 .

[3]  J. Jacobs,et al.  Height, income, and nutrition in the Netherlands: the second half of the 19th century. , 2004, Economics and human biology.

[4]  An International Perspective on Business Cycle Asymmetry: Evidence from Non-parametric Analysis , 2004 .

[5]  U. Woitek,et al.  R&D expenditure in G7 countries and the implications for endogenous fluctuations and growth , 2004 .

[6]  Ramón Gómez-Salvador.  Job Flow Dynamics and Firing Restrictions: Evidence from Europe , 2004 .

[7]  J. Moake,et al.  This article has been cited by other articles , 2003 .

[8]  Timothy Cogley.  Idiosyncratic risk and the equity premium: evidence from the consumer expenditure survey☆ , 2002 .

[9]  José R. Sánchez-Fung.  Estimating a monetary policy reaction function for the dominican republic , 2002 .

[10]  M. Lettau.  Idiosyncratic Risk and Volatility Bounds, or Can Models with Idiosyncratic Risk Solve the Equity Premium Puzzle? , 2001, Review of Economics and Statistics.

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

[12]  The Comovements between Real Activity and Prices in the G7 , 2001 .

[13]  F. Tarp,et al.  Business Cycles in Developing Countries: Are They Different? , 2001 .

[14]  Ricardo Mora,et al.  External Factors in Emerging Market Recoveries: An Empirical Investigation , 2005 .

[15]  Marianne Baxter,et al.  Measuring Business Cycles Approximate Band-Pass Filters for Economic Time Series , 1999 .

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

[17]  Anthony A. Smith,et al.  INCOME AND WEALTH HETEROGENEITY, PORTFOLIO CHOICE, AND EQUILIBRIUM ASSET RETURNS , 1997, Macroeconomic Dynamics.

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

[19]  W. D. Haan.  Understanding Equilibrium Models with a Small and a Large Number of Agents , 1996 .

[20]  Darrell Duffie,et al.  Asset Pricing with Heterogeneous Consumers , 1996, Journal of Political Economy.

[21]  Deborah Lucas,et al.  Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing , 1993, Journal of Political Economy.

[22]  Martin Sola,et al.  Stylized facts and regime changes: Are prices procyclical? , 1995 .

[23]  Jorn-Steffen Pischke,et al.  Individual Income, Incomplete Information and Aggregate Consumption , 1995 .

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

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

[26]  Tryphon Kollintzas,et al.  Stylized Facts of Business Cycles in the G7 from a Real Business Cycles Perspective , 1994 .

[27]  Marianne Baxter,et al.  Real exchange rates and real interest differentials: Have we missed the business-cycle relationship? , 1994 .

[28]  P. Söderlind.  Cyclical Properties of a Real Business Cycle Model , 1993 .

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

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

[31]  Morten O. Ravn,et al.  Business Cycles in the United Kingdom: Facts and Fictions , 1992 .

[32]  Patrick J. Kehoe,et al.  International Real Business Cycles , 1992, Journal of Political Economy.

[33]  Isabel Correia,et al.  Business cycles from 1850 to 1950 : New facts about old data , 1992 .

[34]  K. Neusser,et al.  Business cycles in open economies: Stylized facts for Austria and Germany , 1992 .

[35]  Patrick J. Kehoe,et al.  International evidence on the historical properties of business cycles , 1992 .

[36]  Paul Söderlind,et al.  The Swedish Business Cycle: Stylized facts over 130 years , 1992 .

[37]  C. Carroll.  The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence , 1992 .

[38]  Thomas F. Cooley,et al.  The cyclical behavior of prices , 1991 .

[39]  J. Danthine,et al.  Methodological and Empirical Issues in Real Business Cycle Theory , 1991 .

[40]  S. Aiyagari,et al.  Asset Returns With Transactions Costs And Uninsured Individual Risk: A Stage Iii Exercise , 1991 .

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

[42]  Christina D. Romer.  The Prewar Business Cycle Reconsidered: New Estimates of Gross National Product, 1869-1908 , 1986, Journal of Political Economy.

[43]  Jean-Pierre Danthine,et al.  Business cycles in Switzerland: A comparative study , 1989 .

[44]  Thomas F. Cooley,et al.  The Inflation Tax in a Real Business Cycle Model , 1988 .

[45]  Martin Eichenbaum,et al.  Temporal Aggre-gation and Structural Inference in Macroeconomics , 1987 .

[46]  Lawrence J. Christiano,et al.  Temporal Aggregation and Structural Inference in Macroeconomics , 1986 .

[47]  N. Mankiw,et al.  The Equity Premium and the Concentration of Aggregate Shocks , 1986 .

[48]  G. Hansen.  Indivisible Labor and the Business Cycle , 1985 .

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

[50]  Thomas MaCurdy,et al.  The use of time series processes to model the error structure of earnings in a longitudinal data analysis , 1982 .

[51]  J. Tobin.  Asset Accumulation and Economic Activity , 1982 .

[52]  Martin Neil Baily,et al.  Stabilization Policy and Private Economic Behavior , 1978 .

[53]  Allan H. Meltzer,et al.  Stabilization of the domestic and international economy , 1977 .

[54]  R. Lucas.  UNDERSTANDING BUSINESS CYCLES , 1977 .

[55]  João Loureiro,et al.  Anchoring to the Euro (and Grouped Together)? The Case of African Countries , 1970 .

[56]  F. Carmignani.  Endogenous optimal currency areas: The case of the Central African Economic and Monetary Community , 1970 .

[57]  Arthur F. Burns,et al.  Progress Towards Economic Stability , 1969 .

[58]  T. Ashton.  THE MANCHESTER SCHOOL , 1941 .