Trend-cycle decomposition: implications from an exact structural identification
A well-documented property of the Beveridge-Nelson trend-cycle decomposition is the perfect negative correlation between trend and cycle innovations. We show how this may be consistent with a structural model where trend shocks enter the cycle, or cyclic shocks enter the trend and that identification restrictions are necessary to make this structural distinction. A reduced-form unrestricted version such as that of Morley, Nelson and Zivot (2003) is compatible with either option, but cannot distinguish which is relevant. We discuss economic interpretations and implications using US real GDP data.
|Date of creation:||2013|
|Date of revision:|
|Contact details of provider:|| Postal: 10 Independence Mall, Philadelphia, PA 19106-1574|
Web page: http://www.philadelphiafed.org/
More information through EDIRC
|Order Information:|| Web: http://www.phil.frb.org/econ/wps/index.html Email: |
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jacobs, Jan P.A.M. & van Norden, Simon, 2011. "Modeling data revisions: Measurement error and dynamics of "true" values," Journal of Econometrics, Elsevier, vol. 161(2), pages 101-109, April.
- Pierre Perron & Tatsuma Wada, 2005.
"Let’s Take a Break: Trends and Cycles in US Real GDP,"
Boston University - Department of Economics - Working Papers Series
wp2009-006, Boston University - Department of Economics, revised Feb 2009.
- Perron, Pierre & Wada, Tatsuma, 2009. "Let's take a break: Trends and cycles in US real GDP," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 749-765, September.
- Pierre Perron† & Tatsuma Wada, 2005. "Let’s Take a Break: Trends and Cycles in US Real GDP?," Boston University - Department of Economics - Working Papers Series WP2005-031, Boston University - Department of Economics, revised Oct 2005.
- Tommaso Proietti, 2006. "Trend-Cycle Decompositions with Correlated Components," Econometric Reviews, Taylor & Francis Journals, vol. 25(1), pages 61-84.
- Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
- Heather M. Anderson & Chin Nam Low & Ralph Snyder, 2004.
"Single Source of Error State Space Approach to the Beveridge Nelson Decomposition,"
Monash Econometrics and Business Statistics Working Papers
21/04, Monash University, Department of Econometrics and Business Statistics.
- Anderson, Heather M. & Low, Chin Nam & Snyder, Ralph, 2006. "Single source of error state space approach to the Beveridge Nelson decomposition," Economics Letters, Elsevier, vol. 91(1), pages 104-109, April.
- Chin Nam Low & Heather Anderson & Ralph Snyder, 2004. "Single Source of Error State Space Approach to the Beveridge Nelson Decomposition," Econometric Society 2004 Australasian Meetings 242, Econometric Society.
- Morley, James C., 2011. "The Two Interpretations Of The Beveridge–Nelson Decomposition," Macroeconomic Dynamics, Cambridge University Press, vol. 15(03), pages 419-439, June.
- Tara M. Sinclair, 2009.
"The Relationships between Permanent and Transitory Movements in U.S. Output and the Unemployment Rate,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 41(2-3), pages 529-542, 03.
- Tom Doan, . "RATS programs to replicate Sinclair(2009) bivariate state-space model," Statistical Software Components RTZ00151, Boston College Department of Economics.
- Oh, Kum Hwa & Zivot, Eric & Creal, Drew, 2008. "The relationship between the Beveridge-Nelson decomposition and other permanent-transitory decompositions that are popular in economics," Journal of Econometrics, Elsevier, vol. 146(2), pages 207-219, October.
- Morley, James C., 2002. "A state-space approach to calculating the Beveridge-Nelson decomposition," Economics Letters, Elsevier, vol. 75(1), pages 123-127, March.
- Enzo Weber, 2011. "Analyzing U.S. Output and the Great Moderation by Simultaneous Unobserved Components," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(8), pages 1579-1597, December.
When requesting a correction, please mention this item's handle: RePEc:fip:fedpwp:13-22. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Beth Paul)
If references are entirely missing, you can add them using this form.