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An Approximate Consumption Function

This paper proposes an approximation to the consumption function in the buffer-stock model. The approximation is based on the analytic properties of the consumption function in the buffer-stock model. In such model, the consumption function is increasing and concave and its derivative is bounded from above and below. We compare the approximation with the consumption function obtained using the endogenous grid point algorithm and show that using the former or the latter for estimating the Euler equation leads to very similar results.

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Paper provided by Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy in its series CSEF Working Papers with number 199.

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Date of creation: 01 Jul 2008
Date of revision:
Publication status: Published in Journal of Economic Dynamics and Control, 2010, 34(3), 404-416
Handle: RePEc:sef:csefwp:199
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  1. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, EconWPA.
  2. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," Review of Economic Studies, Oxford University Press, vol. 61(1), pages 3-17.
  3. Christopher D. Carroll & Andrew A. Samwick, 1995. "The Nature of Precautionary Wealth," NBER Working Papers 5193, National Bureau of Economic Research, Inc.
  4. S. B. Aruoba & Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2005. "Comparing Solution Methods for Dynamic Equilibrium Economies," Levine's Bibliography 122247000000000855, UCLA Department of Economics.
  5. Martin Browning & Sule Alan, 2006. "Estimating Intertemporal Allocation Parameters using Simulated Expectation Errors," Economics Series Working Papers 284, University of Oxford, Department of Economics.
  6. Christopher D. Carroll, 2004. "Theoretical Foundations of Buffer Stock Saving," Economics Working Paper Archive 517, The Johns Hopkins University,Department of Economics.
  7. Carroll, Christopher D., 2005. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," CFS Working Paper Series 2005/18, Center for Financial Studies (CFS).
  8. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  9. repec:tpr:qjecon:v:112:y:1997:i:1:p:1-55 is not listed on IDEAS
  10. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
  11. Christopher D. Carroll, 1996. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," NBER Working Papers 5788, National Bureau of Economic Research, Inc.
  12. 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.
  13. Christopher D. Carroll, 1992. "The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 61-156.
  14. Deaton, A., 1989. "Saving And Liquidity Constraints," Papers 153, Princeton, Woodrow Wilson School - Public and International Affairs.
  15. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  16. Feigenbaum, James, 2008. "Information shocks and precautionary saving," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3917-3938, December.
  17. Jerome Adda & Russell W. Cooper, 2003. "Dynamic Economics: Quantitative Methods and Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012014, June.
  18. Feigenbaum, James, 2005. "Second-, third-, and higher-order consumption functions: a precautionary tale," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1385-1425, August.
  19. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 1-55.
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