Asymmetry in the Business Cycle:
Friedman’s Plucking Model with Correlated Innovations
Tara M. Sinclair1
Department of Economics
And the Elliott School of International Affairs
The George Washington University
Washington, DC 20052
tsinc@gwu.edu
THIS DRAFT
September 14, 2008
JEL Classifications: C22, E32
Keywords: Asymmetry, Unobserved Components, Markov-Switching, Business Cycles
Abstract
Recent research has shown that unobserved components (UC) models can, under certain
conditions, be estimated without imposing the common zero-correlation restriction
between the permanent and transitory innovations. Estimates applying this model to US
real GDP suggest that US output experiences considerable permanent movements. This
result is in stark contrast to the findings based on estimates of zero-correlation models
which suggest that fluctuations in output are primarily transitory. If the transitory
component of US real GDP is asymmetric, particularly during recessions, then the linear
UC model may over-emphasize permanent movements due to the dominance of
expansions in the data. This paper produces and estimates an unobserved components
model that allows for asymmetric transitory movements and for correlation between all
the innovations. The asymmetry is modeled using Markov-switching in the transitory
component, in the spirit of Kim and Nelson’s (1999) version of Friedman’s plucking
model. The findings suggest that both permanent movements and asymmetric transitory
shocks are important for explaining post-war output fluctuations in the U.S.
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