erc/metu
INTERNATIONAL CONFERENCE IN
ECONOMICS IV
September 13-16, 2000, Ankara
Business Cycle Asymmetries: Characterisation and Testing based on Markov-Switching Autoregressions
Michael P. Clements (University of
Warwick, UK)
Hans-Martin Krolzig (University of Oxford, UK)
Abstract
We propose testing for business cycle first-moment asymmetries in Markov-switching autoregressive (MS-AR) models. We derive the parametric restrictions on MS-AR models that rule out types of asymmetries such as deepness, steepness, and sharpness, and set out a testing procedure based on Wald statistics which have standard asymptotics. For a two-regime model, such as that popularised by Hami, we show that deepness implies sharpness (and vice versa) while the process is always non-steep. We illustrate with two and three-state MS models of US GNP growth, and with models of US output and employment. Our findings are compared with those obtained from standard non-parametric tests, which are unable to distinguish between first-moment asymmetries and heteroscedasticity.
Economic Research Center
Middle East Technical University
06531 Ankara Turkey
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e-mail: metuerc@metu.edu.tr