Nonlinear VAR: Some Theory and an Application to US GNP and Unemployment
A generalization of the endogenous threshold model is developed by extending this class to a multivariate framework and to cases where the feedback acts at multiple lags. The feedback is specified, following Beaudry and Koop, by a variable which measures the depth of recessions. We give conditions for the ergodicity of the model and prove strong consistency of the maximum likelihood estimator, although the objective function is discontinuous in the threshold parameter. The model is applied to a bivariate VAR of output growth and changes in the unemployment rate for the US economy. The nonlinearity is found to be statistically significant only in the unemployment equation and it transmits to GNP through the cross-correlation between the series. We also find that, owing to the nonlinear structure, shocks hitting the economy in downturns have lower persistence than those occurring during expansions. Since this dampening effect is stronger for negative than for positive shocks, the feedback from recessions is found to contribute positively to the long-run growth of the economy and we estimate this contribution to be about 1/6 of the total growth over the sample period. We interpret this result as an empirical validation of those economic theories that model recessions as cleansing times. Finally, we suggest that the state-dependence in persistence is a possible key to interpret the divergence in the measures of persistence existing in the literature.
|Date of creation:||Oct 1998|
|Date of revision:|
|Contact details of provider:|| Postal: Via Nazionale, 91 - 00184 Roma|
Web page: http://www.bancaditalia.it
More information through EDIRC
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.:
- Cipollone Piero & Marchetti Domenico J., 1998. "Strozzature settoriali, limiti alla crescita e pressioni inflazionistiche," Rivista italiana degli economisti, Società editrice il Mulino, issue 1, pages 27-54.
- Falk, Barry, 1986.
"Further Evidence on the Asymmetric Behavior of Economic Time Series over the Business Cycle,"
Journal of Political Economy,
University of Chicago Press, vol. 94(5), pages 1096-1109, October.
- Falk, Barry L., 1986. "Further Evidence on the Asymmetric Behavior of Economic Time Series over the Business Cycle," Staff General Research Papers Archive 11097, Iowa State University, Department of Economics.
- Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
- Gourieroux, Christian & Monfort, Alain, 1992.
"Qualitative threshold ARCH models,"
Journal of Econometrics,
Elsevier, vol. 52(1-2), pages 159-199.
- Simon M. Potter, 1999.
"Nonlinear impulse response functions,"
65, Federal Reserve Bank of New York.
- Allan D. Brunner, 1990.
"Conditional asymmetries in real GNP: a semi-nonparametric approach,"
Finance and Economics Discussion Series
140, Board of Governors of the Federal Reserve System (U.S.).
- Brunner, Allan D, 1992. "Conditional Asymmetries in Real GNP: A Seminonparametric Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 65-72, January.
- Simon M. Potter, 1993.
"A Nonlinear Approach to U.S. GNP,"
UCLA Economics Working Papers
693, UCLA Department of Economics.
- Braun, Phillip A. & Mittnik, Stefan, 1993. "Misspecifications in vector autoregressions and their effects on impulse responses and variance decompositions," Journal of Econometrics, Elsevier, vol. 59(3), pages 319-341, October.
- Pesaran, M. Hashem & Potter, Simon M., 1997.
"A floor and ceiling model of US output,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 21(4-5), pages 661-695, May.
When requesting a correction, please mention this item's handle: RePEc:bdi:wptemi:td_338_98. 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: ()
If references are entirely missing, you can add them using this form.