Suen, Richard M. H. (2010): Concave Consumption Function under Borrowing Constraints.
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This paper analyzes the optimal consumption behavior of a consumer who faces uninsurable labor income risk and borrowing constraints. In particular, it provides conditions under which the decision rule for consumption is a concave function of existing assets. The current study presents two main findings. First, it is shown that the consumption function is concave if the period utility function is drawn from the HARA class and has either strictly positive or zero third derivative. Second, it is shown that the same result can be obtained for certain period utility functions that are not in the HARA class.
|Item Type:||MPRA Paper|
|Original Title:||Concave Consumption Function under Borrowing Constraints|
|Keywords:||Consumption function, borrowing constraints, precautionary saving|
|Subjects:||D - Microeconomics > D9 - Intertemporal Choice > D91 - Intertemporal Household Choice ; Life Cycle Models and Saving
E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth
|Depositing User:||Richard M. H. Suen|
|Date Deposited:||13. Sep 2010 12:18|
|Last Modified:||12. Feb 2013 00:32|
F. Alvarez, N.L. Stokey, Dynamic programming with homogeneous functions, J. Econ. Theory 82 (1998) 167-189.
C.D. Carroll, Buffer-stock saving and the life cycle/permanent income hypothesis, Quart. J. Econ. 112 (1997) 1-54.
C.D. Carroll, M.S. Kimball, On the concavity of the consumption function, Econometrica 64 (1996) 981-992.
C.D. Carroll, M.S. Kimball, Liquidity constraints and precautionary saving, unpublished manuscript (2005).
M. Huggett, Precautionary wealth accumulation, Rev. Econ. Stud. 71 (2004) 769-781.
P.O. Gourinchas, J.A. Parker, The empirical importance of precautionary saving, Amer. Econ. Rev. 91 (2001) 406-412.
M.S. Kimball, Precautionary saving in the small and in the large, Econometrica 58 (1990) 53-73.
H. Mendelson, Y. Amihud, Optimal consumption policy under uncertain income, Management Sci. 28 (1982) 683-697.
R.T. Rockafellar, Convex Analysis, Princeton Univ. Press, Princeton, NJ, 1970.
J. Schechtman, V.L.S. Escudero, Some results on "an income fluctuation problem," J. Econ. Theory 16 (1977) 151-166.
T.A. Severini, Elements of Distribution Theory, Cambridge Univ. Press, New York, NY, 2005.
N.L. Stokey, R.E. Lucas, Jr., E.C. Prescott, Recursive methods in economic dynamics, Harvard Univ. Press, Cambridge, MA, 1989.
S.P. Zeldes, Optimal consumption with stochastic income: deviations from certainty equivalence, Quart. J. Econ. 104 (1989) 275-298.