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

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  • 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

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    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.
    4. Vasilev, Aleksandar & Maksumov, Rashid, 2010. "Critical analysis of Chapter 23 of Keynes’s Notes on Mercantilism in The General Theory of Employment, Interest and Money (1936)," EconStor Research Reports 155318, ZBW - Leibniz Information Centre for Economics.
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    Cited by:

    1. Jeanne Commault, 2024. "Heterogeneity in MPC Beyond Liquidity Constraints: The Role of Permanent Earnings," Working Papers hal-03870685, HAL.
    2. Toda, Alexis Akira, 2021. "Necessity of hyperbolic absolute risk aversion for the concavity of consumption functions," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    3. Bah, Ibrahim Abubakarr, 2022. "Assessing Sierra Leone’s Consumption Function: A Cointegration and an Error Correction Model Approach," EconStor Preprints 266912, ZBW - Leibniz Information Centre for Economics.
    4. Liu, Haoyu & Li, Lun, 2023. "On the concavity of consumption function under habit formation," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    5. Chen Shou & Xiang Shengpeng & He Hongbo, 2019. "Do Time Preferences Matter in Intertemporal Consumption and Portfolio Decisions?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(2), pages 1-13, June.

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    More about this item

    Keywords

    Consumption function; Concavity; Risk tolerance;
    All these keywords.

    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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