A Non-Linear Forecasting Model of GDP Growth

We develop a model of GDP growth under which regime changes are triggered stochastically by an observable tension index, constructed as the geometric sum of deviations of actual GDP growth from a corresponding sustainable rate. Within expansionary regimes, the tension index tends to increase, which heightens the probability of a regime change. Given a regime change, the process becomes reversed, and the tension index begins to decline along a newly established path. Linking the behavior of the tension index to GDP growth enables us to capture floor and ceiling effects. © 2005 President and Fellows of Harvard College and the Massachusetts Institute of Technology.

[1]  Jean-François Richard,et al.  Methods of Numerical Integration , 2000 .

[2]  Chang‐Jin Kim A Markov-Switching Model of Business Cycle Dynamics with a Post-Recession “ BounceBack ” Effect ∗ , 2002 .

[3]  Marianne Baxter,et al.  Measuring Business Cycles: Approximate Band-Pass Filters for Economic Time Series , 1995, Review of Economics and Statistics.

[4]  J. Hausman Specification tests in econometrics , 1978 .

[5]  Gary Koop,et al.  Do recessions permanently change output , 1993 .

[6]  Stephen Gordon,et al.  Business cycle durations , 1998 .

[7]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[8]  G. Chow Tests of equality between sets of coefficients in two linear regressions (econometrics voi 28 , 1960 .

[9]  Steven Stern,et al.  Simulation-based estimation , 1997 .

[10]  Chang-Jin Kim,et al.  Friedman's Plucking Model of Business Fluctuations: Tests and Estimates of Permanent and Transitory Components , 1998 .

[11]  J. Richard,et al.  Univariate and Multivariate Stochastic Volatility Models: Estimation and Diagnostics , 2003 .

[12]  James D. Hamilton A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[13]  A. W. Phillips,et al.  Stabilisation Policy and the Time-Forms of Lagged Responses , 1957 .

[14]  Thomas H. McCurdy,et al.  Duration-Dependent Transitions in a Markov Model of U.S. GNP Growth , 1994 .

[15]  J. Geweke,et al.  Bayesian Inference in Econometric Models Using Monte Carlo Integration , 1989 .

[16]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[17]  M. Hashem Pesaran,et al.  A floor and ceiling model of US output , 1997 .

[18]  Chang‐Jin Kim,et al.  Has the U.S. Economy Become More Stable? A Bayesian Approach Based on a Markov-Switching Model of the Business Cycle , 1999, Review of Economics and Statistics.

[19]  E. Prescott,et al.  Postwar U.S. Business Cycles: An Empirical Investigation , 1997 .

[20]  Margaret Mary McConnell,et al.  Output Fluctuations in the United States: What Has Changed Since the Early 1980s? , 1998 .

[21]  F. Diebold,et al.  Regime Switching with Time-Varying Transition Probabilities , 2020, Business Cycles.

[22]  C. Stein Inadmissibility of the Usual Estimator for the Mean of a Multivariate Normal Distribution , 1956 .