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Is The Elasticity Of Intertemporal Substitution Constant?

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  • Thomas F. Crossley
  • Hamish W. Low

Abstract

This paper shows that a power utility specification of preferences over total expenditure (ie. CRRA preferences) implies that intratemporal demands are in the PIGL/PIGLOG class. This class generates (at most) rank two demand systems and we can test the validity of power utility on cross-section data. Further, if we maintain the assumption of power utility, and within period preferences are not homothetic, then the intertemporal preference parameter is identified by the curvature of Engel curves. Under the power utility assumption, neither Euler equation estimation nor structural consumption function estimation is necessary to identify the power parameter. In our empirical work, we use demand data to estimate the power utility parameter and to test the assumption of the power utility representation. We find estimates of the power parameter larger than obtained from Euler equation estimation, but we reject the power specification of within period utility.

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Bibliographic Info

Article provided by European Economic Association in its journal Journal of the European Economic Association.

Volume (Year): 9 (2011)
Issue (Month): 1 (02)
Pages: 87-105

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Handle: RePEc:bla:jeurec:v:9:y:2011:i:1:p:87-105

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Citations

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Cited by:
  1. Timo Boppart, 2011. "Structural change and the Kaldor facts in a growth model with relative price effects and non-Gorman preferences," ECON - Working Papers 002, Department of Economics - University of Zurich.
  2. Moore, Michael J. & Roche, Maurice J., 2010. "Solving exchange rate puzzles with neither sticky prices nor trade costs," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1151-1170, October.
  3. Mumtaz, Haroon & Surico, Paolo, 2011. "Estimating the Aggregate Consumption Euler Equation with State-Dependent Parameters," CEPR Discussion Papers 8233, C.E.P.R. Discussion Papers.
  4. Natalia, Khorunzhina & Wayne Roy, Gayle, 2011. "Heterogenous intertemporal elasticity of substitution and relative risk aversion: estimation of optimal consumption choice with habit formation and measurement errors," MPRA Paper 34329, University Library of Munich, Germany.
  5. H. Kim & Keith McLaren & K. Wong, 2013. "Empirical demand systems incorporating intertemporal consumption dynamics," Empirical Economics, Springer, vol. 45(1), pages 349-370, August.

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