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Concave Consumption Function under Borrowing Constraints

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  • Suen, Richard M. H.

Abstract

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.

Suggested Citation

  • Suen, Richard M. H., 2010. "Concave Consumption Function under Borrowing Constraints," MPRA Paper 24927, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:24927
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    File URL: https://mpra.ub.uni-muenchen.de/24927/1/MPRA_paper_24927.pdf
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    More about this item

    Keywords

    Consumption function; borrowing constraints; precautionary saving;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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