The Hodrick-Prescott Filter, a Generalisation, and a New Procedure for Extracting an Empirical Cycle from a Series
AbstractThis paper proposes a novel derivation of the Hodrick-Prescott, Department of Economics (HP) minimisation problem which leads to a generalisation of the Hodrick-Prescott filter. The main result is the development of a new filter to extract a localised maximum likelihood estimate of the cycle from a series. This new filter, the Multivariate Normal Cyclical (MNC) filter makes only a very general assumption about the cyclical nature of the series. Unlike most other filters, it does not make any explicit assumption about the nature of the trend component of the series.
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- Peter Brandner & Klaus Neusser, 1992. "Business cycles in open economies: Stylized facts for Austria and Germany," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 128(1), pages 67-87, March.
- Canova, Fabio, 1994. "Detrending and turning points," European Economic Review, Elsevier, vol. 38(3-4), pages 614-623, April.
- Simkins, Scott P., 1994. "Do real business cycle models really exhibit business cycle behavior?," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 381-404, April.
- Timothy Cogley & James M. Nason, 1993.
"Effects of the Hodrick-Prescott filter on trend and difference stationary time series: implications for business cycle research,"
Working Papers in Applied Economic Theory
93-01, Federal Reserve Bank of San Francisco.
- Cogley, Timothy & Nason, James M., 1995. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 253-278.
- Finn E. Kydland & Edward C. Prescott, 1990. "Business cycles: real facts and a monetary myth," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 3-18.
- Robert J. Hodrick & Edward Prescott, 1981.
"Post-War U.S. Business Cycles: An Empirical Investigation,"
451, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
- King, R.G. & Rebelo, S.T., 1989.
"Low Frequency Filtering And Real Business Cycles,"
RCER Working Papers
205, University of Rochester - Center for Economic Research (RCER).
- Danthine, Jean-Pierre & Girardin, Michel, 1989. "Business cycles in Switzerland : A comparative study," European Economic Review, Elsevier, vol. 33(1), pages 31-50, January.
- Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-47, July-Sept.
- Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
- Jaeger, Albert, 1994. "Mechanical Detrending by Hodrick-Prescott Filtering: A Note," Empirical Economics, Springer, vol. 19(3), pages 493-500.
- Kim, Kunhong & Buckle, R A & Hall, V B, 1994. "Key Features of New Zealand Business Cycles," The Economic Record, The Economic Society of Australia, vol. 70(208), pages 56-73, March.
- Bernd Süssmuth, 2002. "National and Supranational Business Cycles (1960-2000): A multivariate description of central G7 and EURO15 NIPA aggregates," CESifo Working Paper Series 658, CESifo Group Munich.
- Rómulo A.Chumacero & Francisco A.Gallego, 2002.
"Trends and cycles in real-time,"
Estudios de Economia,
University of Chile, Department of Economics, vol. 29(2 Year 20), pages 211-229, December.
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