Three new empirical perspectives on the Hodrick–Prescott parameter
- 114 Downloads
- 2 Citations
Abstract
The purpose of this article is to provide three new empirical perspectives on the validity of the value of the smoothing parameter in the Hodrick–Prescott filter (HP filter): Bayesian smoothness perspective, output gap perspective, and forecasting perspective. The quarterly time series of industrial production and capacity utilization for developed countries are analyzed. The empirical results suggest that (1) from the Bayesian smoothness perspective, the HP filter with 1600 as the value of the smoothing parameter (HP1600 filter) is mostly unable to provide a sufficiently smooth trend component; (2) from the output gap perspective, the HP1600 filter provides a poor cycle component; (3) from the forecasting perspective, the HP1600 filter is most suitable for eight-step or nine-step ahead forecasting.
Keywords
Bayesian smoothness solution Empirical perspective: Hodrick–Prescott filter Multistep ahead forecasting Output gapJEL Classification
C22 E32Preview
Unable to display preview. Download preview PDF.
References
- Afonso A, Furceri D (2008) EMU enlargement, stabilization costs and insurance mechanisms. J Int Money Finance 27: 169–187Google Scholar
- Akaike H (1980) Likelihood and the Bayes procedure. In: Bernardo JM, DeGroot MH, Lindley DV, Smith AFM (eds) Bayesian statistics. University Press, Valencia, pp 143–166Google Scholar
- Ash JCK, Easaw JZ, Heravi SM, Smyth DJ (2002) Are Hodrick-Prescott forecasts rational?. Empir Econ 27: 631–643CrossRefGoogle Scholar
- Assenmacher-Wesche K, Gerlach S (2008) Money growth, output gaps and inflation at low and high frequency: spectral estimates for Switzerland. J Econ Dyn Control 32: 411–435CrossRefGoogle Scholar
- Camba-Mendez G, Rodriguez-Palenzuela D (2003) Assessment criteria for output gap estimates. Econ Model 20: 529–562CrossRefGoogle Scholar
- Canova F (1994) Detrending and turning-points. Eur Econ Rev 38: 614–623CrossRefGoogle Scholar
- Canova F (1998) Detrending and business cycle facts. J Monet Econ 41: 475–512CrossRefGoogle Scholar
- Elliott G, Timmermann A (2008) Economic forecasting. J Econ Lit 46: 3–56CrossRefGoogle Scholar
- Fuhrer J, Tootell G (2008) Eyes on the prize: How did the fed respond to the stock market?. J Monet Econ 55: 796–805CrossRefGoogle Scholar
- Fukuda K (2006) Age-period-cohort decomposition of aggregate data: an application to U.S. and Japanese household saving rates. J Appl Econom 21: 981–998CrossRefGoogle Scholar
- Harvey AC, Todd PHJ (1983) Forecasting economic time series with structural and Box-Jenkins models: a case study. J Bus Econ Stat 1: 299–315CrossRefGoogle Scholar
- Harvey AC, Jaeger A (1993) Detrending, stylized facts and the business cycle. J Appl Econom 8: 231–247CrossRefGoogle Scholar
- Harvey AC, Trimbur TM, Van Dijk HK (2007) Trends and cycles in economic time series: a Bayesian approach. J Econom 140: 618–649CrossRefGoogle Scholar
- Harvey AC, Monache DD (2009) Computing the mean square error of unobserved components extracted by misspecified time series models. J Econ Dyn Control 33: 283–295CrossRefGoogle Scholar
- Hodrick RJ, Prescott EC (1980) Postwar U.S. business cycles: an empirical investigation. Carnegie Mellon University Discussion Paper 451Google Scholar
- Hodrick RJ, Prescott EC (1997) Postwar U.S. business cycles: an empirical investigation. J Money Credit Bank 29: 1–16CrossRefGoogle Scholar
- Koop G (2003) Bayesian econometrics. Wiley, EnglandGoogle Scholar
- Marcellino M, Stock JH, Watson MW (2006) A comparison of direct and iterated multistep AR methods for forecasting macroeconomic time series. J Econom 135: 499–526CrossRefGoogle Scholar
- Marcet A, Ravn MO (2003) The HP-filter in cross-country comparisons. CEPR Discussion Paper 4244Google Scholar
- Nahuis NJ (2003) An alternative demand indicator: the non-accelerating inflation rate of capacity utilization. Appl Econ 35: 1339–1344CrossRefGoogle Scholar
- Nakamura T (1986) Bayesian cohort models for general cohort table analyses. Ann Inst Stat Math 38B: 353–370CrossRefGoogle Scholar
- Nelson CR, Plosser CI (1982) Trends and random walks in macroeconomic time series: some evidence and implications. J Monet Econ 10: 139–162CrossRefGoogle Scholar
- Parigi G, Siviero S (2001) An investment-function-based measure of capacity utilization: potential output and utilized capacity in the Bank of Italy’s quarterly model. Econ Model 18: 525–549CrossRefGoogle Scholar
- Pedersen TM (2001) The Hodrick-Prescott filter, the Slutzky effect, and the distortionary effect of filters. J Econ Dyn Control 25: 1081–1101CrossRefGoogle Scholar
- Ravn MO, Uhlig H (2002) On adjusting the Hodrick-Prescott filter for the frequency of observations. Rev Econ Stat 84: 371–380CrossRefGoogle Scholar
- Trimbur TM (2006) Detrending economic time series: a Bayesian generalization of the Hodrick-Prescott filter. J Forecast 25: 247–273CrossRefGoogle Scholar
- Young M (1996) Robust seasonal adjustment by Bayesian modelling. J Forecast 15: 355–367CrossRefGoogle Scholar