Abstract
In this article, it is shown how judgement regarding the cyclical component of a series can be incorporated into the Hodrick–Prescott filter. An analytical expression for the trend extraction under judgement restrictions is derived. It is also shown that imposing judgement in the trend extraction procedure can improve the correlation between the extracted GDP gap and CPI inflation for Sweden, during the period 1981Q1-2007Q4.
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References
Apel M, Jansson P (1999) System estimates of potential output and the NAIRU. Empir Econ 24: 373–388
Benati L (2007) The time-varying Phillips correlation. J Money Credit Bank 39(5): 1275–1283
Canova F (1994) Detrending and turning points. Eur Econ Rev 38: 614–623
Cogley T, Nason JN (1995) Effects of the Hodrick-Prescott filter on trend and difference stationary time series—implications for business cycle research. J Econ Dyn Control 19: 253–278
Duarte A, Holden K (2003) The business cycle in the G-7 economies. Int J Forecast 19: 685–700
Harvey AC, Jaeger A (1993) Detrending, stylized facts and the business cycle. J Appl Econ 8(3): 231–247
Hodrick RJ, Prescott EC (1981) Postwar US business cycles: an empirical investigation. Discussion paper 451, Northwestern University
Hodrick RJ, Prescott EC (1997) Postwar US business cycles: an empirical investigation. J Money Credit Bank 29(1): 1–16
King RG, Rebelo ST (1993) Low frequency filtering and real business cycles. J Econ Dyn Control 17: 207–231
McElroy T (2008) Exact formulas for the Hidrick-Prescott filter. Econ J 11: 209–217
Mise E, Kim T-H, Newbold P (2005) On suboptimality of the Hodrick-Prescott filter at time series endpoints. J Macroecon 27: 53–67
National Institute of Economic Research (2008) Konjunkturläget. (March issue, in Swedish)
Trimbur TM (2006) Detrending economic time series: a Bayesian generalization of the Hodrick-Prescott Filter. J Forecast 25: 247–273
Zarnowitz V, Ozyildirim A (2006) Time series decomposition and measurement of business cycles, trends and growth cycles. J Monet Econ 53: 1717–1739
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Jönsson, K. Trend extraction with a judgement-augmented hodrick–prescott filter. Empir Econ 39, 703–711 (2010). https://doi.org/10.1007/s00181-009-0325-3
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DOI: https://doi.org/10.1007/s00181-009-0325-3