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Unexploited Connections Between Intra- and Inter-temporal Allocation

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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

Paper provided by McMaster University in its series Social and Economic Dimensions of an Aging Population Research Papers with number 131.

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Length: 29 pages
Date of creation: Sep 2005
Date of revision:
Handle: RePEc:mcm:sedapp:131

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Keywords: elasticity of intertemporal substitution; Euler equation estimation; demand systems;

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  1. Sydney Ludvigson & Christina H. Paxson, 2001. "Approximation Bias In Linearized Euler Equations," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 242-256, May.
  2. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-46, March.
  3. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-99, September.
  4. Arthur Lewbel, 2000. "A Rational Rank Four Demand System," Boston College Working Papers in Economics 463, Boston College Department of Economics, revised 04 Apr 2003.
  5. Atkeson, Andrew & Ogaki, Masao, 1996. "Wealth-varying intertemporal elasticities of substitution: Evidence from panel and aggregate data," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 507-534, December.
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  7. Stephen G. Donald, 1997. "Inference Concerning the Number of Factors in a Multivariate Nonparametric Relationship," Econometrica, Econometric Society, vol. 65(1), pages 103-132, January.
  8. Lwebel Arthur & Perraudin William, 1995. "A Theorem on Portfolio Separation with General Preferences," Journal of Economic Theory, Elsevier, vol. 65(2), pages 624-626, April.
  9. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
  10. Martin Browning & Thomas F. Crossley, 2000. "Luxuries Are Easier to Postpone: A Proof," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1022-1026, October.
  11. Sule Alan & Martin Browning, 2003. "Estimating Intertemporal Allocation Parameters using Simulated Residual Estimation," CAM Working Papers 2003-03, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
  12. Yacine Ait-Sahalia & Andrew W. Lo, 2000. "Nonparametric Risk Management and Implied Risk Aversion," NBER Working Papers 6130, National Bureau of Economic Research, Inc.
  13. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-57, December.
  14. Pollak, Robert A, 1971. "Additive Utility Functions and Linear Engel Curves," Review of Economic Studies, Wiley Blackwell, vol. 38(116), pages 401-14, October.
  15. Orazio P. Attanasio & Hamish Low, 2000. "Estimating Euler Equations," NBER Technical Working Papers 0253, National Bureau of Economic Research, Inc.
  16. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  17. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  18. Blundell, Richard & Browning, Martin & Meghir, Costas, 1994. "Consumer Demand and the Life-Cycle Allocation of Household Expenditures," Review of Economic Studies, Wiley Blackwell, vol. 61(1), pages 57-80, January.
  19. Lewbel, Arthur, 1996. "Demand Estimation with Expenditure Measurement Errors on the Left and Right Hand Side," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 718-25, November.
  20. Pollak, Robert A & Wales, Terence J, 1979. "Welfare Comparisons and Equivalence Scales," American Economic Review, American Economic Association, vol. 69(2), pages 216-21, May.
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