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Concave Consumption Function and Precautionary Wealth Accumulation

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  • Richard M. H. Suen

    (University of Connecticut)

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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Bibliographic Info

Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2011-23.

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Length: 59 pages
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:uct:uconnp:2011-23

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Web page: http://www.econ.uconn.edu/
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Keywords: Consumption function; borrowing constraints; precautionary saving;

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  1. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
  2. Kjetil Storesletten & Chris Telmer & Amir Yaron, 1997. "Consumption and risk sharing over the life cycle," GSIA Working Papers 228, Carnegie Mellon University, Tepper School of Business.
  3. Primiceri, Giorgio E. & van Rens, Thijs, 2007. "Heterogeneous Life-Cycle Profiles, Income Risk and Consumption Inequality," IZA Discussion Papers 3239, Institute for the Study of Labor (IZA).
  4. Gollier, Christian & Zeckhauser, Richard J, 2002. " Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May.
  5. Richard Blundell & Ian Preston, 1998. "Consumption Inequality And Income Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 113(2), pages 603-640, May.
  6. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-48, September.
  7. 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..
  8. Gollier, C., 1997. "Wealth Inequality and Asset Pricing," Papers 97.486, Toulouse - GREMAQ.
  9. Sydney Ludvigson, 1996. "Consumption and credit: a model of time-varying liquidity constraints," Research Paper 9624, Federal Reserve Bank of New York.
  10. Huggett, Mark & Ospina, Sandra, 2001. "Aggregate precautionary savings: when is the third derivative irrelevant?," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 373-396, October.
  11. repec:att:wimass:9722 is not listed on IDEAS
  12. Carroll, Christopher D., 2009. "Precautionary saving and the marginal propensity to consume out of permanent income," CFS Working Paper Series 2009/16, Center for Financial Studies (CFS).
  13. 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..
  14. Christopher D. Carroll, 2004. "Theoretical Foundations of Buffer Stock Saving," Economics Working Paper Archive 517, The Johns Hopkins University,Department of Economics.
  15. Gourinchas, Pierre-Olivier & Parker, Jonathan A, 2000. "Consumption Over the Life-Cycle," CEPR Discussion Papers 2345, C.E.P.R. Discussion Papers.
  16. Nicholas S. Souleles, 1999. "The Response of Household Consumption to Income Tax Refunds," American Economic Review, American Economic Association, vol. 89(4), pages 947-958, September.
  17. Christopher D. Carroll & Andrew A. Samwick, 1993. "How important is precautionary saving?," Working Paper Series / Economic Activity Section 145, Board of Governors of the Federal Reserve System (U.S.).
  18. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-92, July.
  19. Gourinchas, Pierre-Olivier & Parker, Jonathan A, 2001. "The Empirical Importance of Precautionary Saving," CEPR Discussion Papers 2737, C.E.P.R. Discussion Papers.
  20. Weil, Philippe, 1993. "Precautionary Savings and the Permanent Income Hypothesis," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 367-83, April.
  21. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
  22. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
  23. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  24. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  25. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative macroeconomics with heterogeneous households," Staff Report 420, Federal Reserve Bank of Minneapolis.
  26. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September.
  27. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-45, March.
  28. Mark Huggett, 2004. "Precautionary Wealth Accumulation," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 769-781.
  29. Haim Mendelson & Yakov Amihud, 1982. "Optimal Consumption Policy under Uncertain Income," Management Science, INFORMS, vol. 28(6), pages 683-697, June.
  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. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
  32. Zeldes, Stephen P, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 275-98, May.
  33. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 217-245, February.
  34. 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.
  35. Martin Browning & Annamaria Lusardi, 1995. "Household Saving: Micro Theories and Micro Facts," Department of Economics Working Papers 1995-02, McMaster University.
  36. Huggett, Mark & Vidon, Edouard, 2002. "Precautionary wealth accumulation: a positive third derivative is not enough," Economics Letters, Elsevier, vol. 76(3), pages 323-329, August.
  37. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
  38. 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, vol. 56(1), pages 40-42, January.
  39. Caballero, Ricardo J, 1991. "Earnings Uncertainty and Aggregate Wealth Accumulation," American Economic Review, American Economic Association, vol. 81(4), pages 859-71, September.
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