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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
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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, 2001. "A Theory of the Consumption Function, With and Without Liquidity Constraints (Expanded Version)," NBER Working Papers 8387, National Bureau of Economic Research, Inc.
  2. Christopher D. Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," NBER Technical Working Papers 0309, National Bureau of Economic Research, Inc.
  3. Christopher D. Carroll, 1996. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," NBER Working Papers 5788, National Bureau of Economic Research, Inc.
  4. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 82(3), pages 465-473.
  5. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2003. "Comparing solution methods for dynamic equilibrium economies," FRB Atlanta Working Paper 2003-27, Federal Reserve Bank of Atlanta.
  6. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
  7. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  8. Feigenbaum, James, 2008. "Information shocks and precautionary saving," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3917-3938, December.
  9. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-48, September.
  10. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
  11. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, EconWPA.
  12. 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.
  13. Carroll, Christopher D., 2011. "Theoretical foundations of buffer stock saving," CFS Working Paper Series 2011/15, Center for Financial Studies (CFS).
  14. 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.
  15. 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.
  16. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
  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, December.
  18. Martin Browning & Sule Alan, 2006. "Estimating Intertemporal Allocation Parameters using Simulated Expectation Errors," Economics Series Working Papers 284, University of Oxford, Department of Economics.
  19. 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.
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