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On the concavity of the consumption function with the time varying discount rate

Author

Listed:
  • Gong, Liutang
  • Zhong, Ruquan
  • Zou, Heng-fu

Abstract

In this paper, we consider a finite-horizon model with the time-additive utility and the time varying discount rate. With the assumption of the concavity of absolute risk tolerance, the concavity of the consumption function has been proved. This result significantly broadens the conclusion of Carroll and Kimball (1996) for the case of the HARA utility function.

Suggested Citation

  • Gong, Liutang & Zhong, Ruquan & Zou, Heng-fu, 2012. "On the concavity of the consumption function with the time varying discount rate," Economics Letters, Elsevier, vol. 117(1), pages 99-101.
  • Handle: RePEc:eee:ecolet:v:117:y:2012:i:1:p:99-101
    DOI: 10.1016/j.econlet.2012.04.086
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    References listed on IDEAS

    as
    1. Shin-Ichi Nishiyama & Ryo Kato, 2011. "On the Concavity of the Consumption Function with a Quadratic Utility under Liquidity Constraints," TERG Discussion Papers 274, Graduate School of Economics and Management, Tohoku University.
    2. Zeldes, Stephen P, 1989. "Consumption and Liquidity Constraints: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 305-346, April.
    3. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-992, July.
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    More about this item

    Keywords

    Consumption function; Concavity; Risk tolerance;

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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