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Concave consumption function and precautionary wealth accumulation

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  • Suen, Richard M. H.

Abstract

This paper examines the theoretical foundations of precautionary wealth accumulation in a multi-period model where consumers face uninsurable earnings risk and borrowing constraints. We begin by characterizing the consumption function of individual consumers. We show that consumption function is concave when the utility function has strictly positive third derivative and the inverse of absolute prudence is a concave function. These conditions encompass all HARA utility functions with strictly positive third derivative as special cases. We then show that when consumption function is concave, a mean-preserving spread in earnings risk would encourage wealth accumulation at both the individual and aggregate levels.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 34774.

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Date of creation: Nov 2011
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Handle: RePEc:pra:mprapa:34774

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Keywords: Consumption function; borrowing constraints; precautionary saving;

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  1. Martin Browning & Annamaria Lusardi, 1995. "Household Saving: Micro Theories and Micro Facts," Department of Economics Working Papers 1995-02, McMaster University.
  2. 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.
  3. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2001. "The Empirical Importance of Precautionary Saving," NBER Working Papers 8107, National Bureau of Economic Research, Inc.
  4. Caballero, Ricardo J, 1991. "Earnings Uncertainty and Aggregate Wealth Accumulation," American Economic Review, American Economic Association, American Economic Association, vol. 81(4), pages 859-71, September.
  5. Mark Huggett, 2004. "Precautionary Wealth Accumulation," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 769-781.
  6. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 112(3), pages 695-717, June.
  7. Giorgio E. Primiceri & Thijs van Rens, 2006. "Heterogeneous life-cycle profiles, income risk and consumption inequality," Economics Working Papers 945, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 2008.
  8. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, Elsevier, vol. 16(2), pages 151-166, December.
  9. Jonathan A. Parker & Bruce Preston, 2004. "Precautionary Saving and Consumption Fluctuations," Working Papers 140, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
  10. Zeldes, Stephen P, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 104(2), pages 275-98, May.
  11. Kjetil Storesletten & Chris Telmer & Amir Yaron, 1997. "Consumption and risk sharing over the life cycle," GSIA Working Papers, Carnegie Mellon University, Tepper School of Business 228, Carnegie Mellon University, Tepper School of Business.
  12. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics, EconWPA 9503003, EconWPA.
  13. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, Elsevier, vol. 12(2), pages 218-241, April.
  14. David S. Johnson & Jonathan A. Parker & Nicholas S. Souleles, 2004. "Household Expenditure and the Income Tax Rebates of 2001," Working Papers 136, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
  15. John M. Abowd & David Card, 1986. "On the Covariance Structure of Earnings and Hours Changes," NBER Working Papers 1832, National Bureau of Economic Research, Inc.
  16. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers, Federal Reserve Bank of Minneapolis 502, Federal Reserve Bank of Minneapolis.
  17. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, Elsevier, vol. 135(1), pages 414-441, July.
  18. Sydney Ludvigson, 1996. "Consumption and credit: a model of time-varying liquidity constraints," Research Paper 9624, Federal Reserve Bank of New York.
  19. Gourinchas, P.O. & Parker, J.A., 1997. "Consumption Over the Life Cycle," Working papers, Wisconsin Madison - Social Systems 9722, Wisconsin Madison - Social Systems.
  20. Huggett, Mark & Ospina, Sandra, 2001. "Aggregate precautionary savings: when is the third derivative irrelevant?," Journal of Monetary Economics, Elsevier, Elsevier, vol. 48(2), pages 373-396, October.
  21. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," NBER Working Papers 14768, National Bureau of Economic Research, Inc.
  22. Christopher D. Carroll, 2001. "Precautionary Saving and the Marginal Propensity to Consume out of Permanent Income," NBER Working Papers 8233, National Bureau of Economic Research, Inc.
  23. Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc.
  24. Gollier, C., 1997. "Wealth Inequality and Asset Pricing," Papers, Toulouse - GREMAQ 97.486, Toulouse - GREMAQ.
  25. Weil, Philippe, 1993. "Precautionary Savings and the Permanent Income Hypothesis," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 60(2), pages 367-83, April.
  26. Nicholas S. Souleles, 1999. "The Response of Household Consumption to Income Tax Refunds," American Economic Review, American Economic Association, American Economic Association, vol. 89(4), pages 947-958, September.
  27. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, Elsevier, vol. 82(1), pages 167-189, September.
  28. Richard Blundell & Ian Preston, 1997. "Consumption, inequality and income uncertainty," IFS Working Papers, Institute for Fiscal Studies W97/15, Institute for Fiscal Studies.
  29. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, Elsevier, vol. 2(3), pages 225-243, September.
  30. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  31. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 26(2), pages 217-245, February.
  32. Christopher D. Carroll & Andrew A. Samwick, 1998. "How Important Is Precautionary Saving?," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 410-419, August.
  33. Gollier, Christian & Zeckhauser, Richard J, 2002. " Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, Springer, vol. 24(3), pages 195-212, May.
  34. Haim Mendelson & Yakov Amihud, 1982. "Optimal Consumption Policy under Uncertain Income," Management Science, INFORMS, INFORMS, vol. 28(6), pages 683-697, June.
  35. Christopher D. Carroll & Andrew A. Samwick, 1995. "The Nature of Precautionary Wealth," NBER Working Papers 5193, National Bureau of Economic Research, Inc.
  36. Heathcote, Jonathan, 2009. "Discussion of "Heterogeneous life-cycle profiles, income risk and consumption inequality" by Giorgio Primiceri and Thijs van Rens," Journal of Monetary Economics, Elsevier, Elsevier, vol. 56(1), pages 40-42, January.
  37. Mark Huggett and Edouard Vidon, 2003. "Precautionary Wealth Accumulation: A Positive Third Derivative is not Enough," Working Papers, Georgetown University, Department of Economics gueconwpa~03-03-11, Georgetown University, Department of Economics.
  38. Christopher D. Carroll, 2004. "Theoretical Foundations of Buffer Stock Saving," Economics Working Paper Archive, The Johns Hopkins University,Department of Economics 517, The Johns Hopkins University,Department of Economics.
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