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Comparative precautionary saving under higher-order risk and recursive utility

Author

Listed:
  • Aj Allen Bostian

    (University of Tampere)

  • Christoph Heinzel

    (SMART-LERECO - Structures et Marché Agricoles, Ressources et Territoires - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - INSTITUT AGRO Agrocampus Ouest - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

Abstract

Measuring and comparing the precautionary saving motive rest almost exclusively on the expected utility framework, and only focus on income risk or coefficients of the Arrow–Pratt type. We generalize the standard approach by characterizing comparative precautionary saving under recursive utility for increases in income risk and increases in risk on the saving return, including higher-order risk effects. We express the comparisons in terms of precautionary premia. In addition, we define a new class of preference coefficients, and derive the associated conditions to predict a stronger precautionary motive. The coefficients provide a detailed picture of the preferences sustaining precautionary saving and could be useful in applications.

Suggested Citation

  • Aj Allen Bostian & Christoph Heinzel, 2018. "Comparative precautionary saving under higher-order risk and recursive utility," Post-Print hal-02622118, HAL.
    • Handle: RePEc:hal:journl:hal-02622118
    DOI: 10.1057/s10713-018-0030-2
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    Cited by:

    1. Cary Deck & Sebastian Ebert & Andreas Richter, 2018. "Special issue in honor of Harris Schlesinger: New developments in the study of risk preferences," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 1-4, May.
    2. Heinzel, Christoph, 2023. "Comparing utility derivative premia under additive and multiplicative risks," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 23-40.

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