Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-22T21:28:24.606Z Has data issue: false hasContentIssue false

NONLINEARITY, CYCLICITY, AND PERSISTENCE IN CONSUMPTION AND INCOME RELATIONSHIPS: RESEARCH IN HONOR OF MELVIN J. HINICH

Published online by Cambridge University Press:  24 April 2012

Fredj Jawadi*
Affiliation:
University of Evry Val d'Essonne
Patrick Leoni
Affiliation:
EUROMED Management
*
Address correspondence to: Fredj Jawadi, UFR Sciences Sociales et Gestion, Université d'Evry Val d'Essonne, Bat. La poste, Bureau 228 2, rue du Facteur Cheval, 91025 Evry Cedex, France; e-mail: [email protected].

Abstract

This paper is dedicated to the memory of the great statistician Melvin J. Hinich, with whom we were in contact about this research prior to his untimely death from a tragic fall. We develop a neoclassical growth model with habit formation to exhibit an equilibrium nonlinear relationship between aggregate consumption growth and income growth. We first provide empirical evidence consistent with this relationship both for the United States and France, and we reject the hypothesis of a random walk for consumption. We then estimate this nonlinear relationship. We find for both countries robust evidence of persistence, nonlinearity, and cyclicity in the relationship between consumption and income.

Type
Articles
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aiyagari, Rao (1994) Uninsured idiosyncratic risk, and aggregate saving. Quarterly Journal of Economics 109, 659684.CrossRefGoogle Scholar
Banks, James, Blundell, Richard, and Brugiavini, Agar (2001) Risk pooling, precautionary saving and consumption growth. Review of Economic Studies 68, 757779.CrossRefGoogle Scholar
Barnett, William, Gallant, Ronald, Hinich, Melvin, Jungeilges, Jochen, Kaplan, Daniel, and Jensen, Mark (1997) A single-blind controlled competition among tests for nonlinearity and chaos. Journal of Econometrics 82, 157192.CrossRefGoogle Scholar
Brock, William, Dechert, William, and Scheinkman, Jose (1987) A test for independence based on the correlation dimension. Econometric Reviews 15, 197235.CrossRefGoogle Scholar
Brooks, Chris and Heravi, Saeed (1999) The effect of (mis-specified) GARCH filters on the finite sample distribution of the BDS test. Computational Economics 13, 147162.CrossRefGoogle Scholar
Campbell, John and Cochrane, John (1999) By force of habit: A consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205251.CrossRefGoogle Scholar
Carroll, Christopher, Overland, Jody, and Weil, David (2000) Saving and growth with habit formation. American Economic Review 90, 341355.CrossRefGoogle Scholar
Carroll, Christopher and Summers, Lawrence (1990) Consumption Growth Parallels Income Growth: Some New Evidence. NBER Working Paper W3090.Google Scholar
Cochrane, John (1994) Permanent and transitory components of GNP and stock prices. Quarterly Journal of Economics 109, 241266.CrossRefGoogle Scholar
Constantinides, Georges (1990) Habit formation: A resolution of the equity premium puzzle. Journal of Political Economy 98, 519543.CrossRefGoogle Scholar
Ferson, Wayne and Constantinides, Georges (1991) Habit persistence and durability in aggregate consumption. Journal of Financial Economics 29, 199240.CrossRefGoogle Scholar
Granger, Clive (1969) Investigating causal relation by econometric and cross-sectional method. Econometrica 37, 424438.CrossRefGoogle Scholar
Granger, Clive and Newbold, Peter (1976) Forecasting transformed time-series. Journal of the Royal Statistical Society B 40, 189203.Google Scholar
Guariglia, Alessandra and Rossi, Mariacristina (2002) Consumption, habit formation, and precautionary saving: Evidence from the British Household Panel Survey. Oxford Economic Papers 54, 119.CrossRefGoogle Scholar
Hall, Robert (1978) Stochastic implications of the life-cycle permanent income hypothesis: Theory and evidence. Journal of Political Economy 86, 971987.CrossRefGoogle Scholar
Hamilton, John (1994) Time Series Analysis. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Hinich, Melvin (1996) Testing for dependence in the input to a linear time series model. Journal of Nonparametric Statistics 6, 205221.CrossRefGoogle Scholar
Hinich, Melvin and Patterson, Douglas (1995) Detecting Epochs of Transient Dependence in White Noise. Mimeo, University of Texas at Austin.Google Scholar
Keenan, Daniel (1985) A Tukey nonadditivity-type test for time series nonlinearity. Biometrica 72, 3944.CrossRefGoogle Scholar
Lai, Shaoliong and Qin, Ya (2006) The analytic properties for a generalised Abel's pricing model. Journal of Economic Theory 2, 106111.Google Scholar
Lardic, Sandrine and Mignon, Valerie (2003) Fractional cointegration between nominal interest rates and inflation: A re-examination of the Fisher relationship in the G7 countries. Economics Bulletin 14, 110.Google Scholar
Lettau, Martin and Uhlig, Harald (2000) Can habit formation be reconciled with business cycle facts? Review of Economic Dynamics 3, 7999.CrossRefGoogle Scholar
Liu, Li-gang, Pauwels, Laurent, and Tsang, Andrew (2007) How Large Is the Wealth Effect on Hong Kong's Consumption? Evidence from a Habit-Formation Model of Consumption. Hong Kong Monetary Authority working paper 0720.Google Scholar
Lütkepohl, Helmut (1993) Introduction to Multiple Time Series Analysis, 2nd ed. Heidelberg: Springer-Verlag.CrossRefGoogle Scholar
Meghir, Costas and Pistaferri, Luigi (2004) Income variance dynamics and heterogeneity. Econometrica 72, 132.CrossRefGoogle Scholar
Muellbauer, John (1988) Habits, rationality and myopa in the life-cycle consumption function. Annales d'économie et de statistique 9, 4770.CrossRefGoogle Scholar
Seckin, Aylin (2001) Consumption–leisure choice with habit formation. Economics Letters 70, 115120.CrossRefGoogle Scholar
Sims, Christopher (1980) Macroeconomics and reality. Econometrica 48, 147.CrossRefGoogle Scholar