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Precautionary paying for stochastic improvements under background risks

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  • Wang, Hongxia
  • Wang, Jianli
  • Li, Jingyuan
  • Xia, Xinping

Abstract

In a two-dimensional framework, we propose a general two-period decision model which extends the temporal precautionary saving and effort model. We relate the role of cross-prudence to the impact of background risks on paying for stochastic improvements of the future risk. We find that the effect of background risks introduced in the first period is consistent to signing cross derivatives of bivariate utility functions, which is independent of the type of stochastic improvements brought by additional paying; however, when the background risk occurs in the second period, that is not the case.

Suggested Citation

  • Wang, Hongxia & Wang, Jianli & Li, Jingyuan & Xia, Xinping, 2015. "Precautionary paying for stochastic improvements under background risks," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 180-185.
    • Handle: RePEc:eee:insuma:v:64:y:2015:i:c:p:180-185
    DOI: 10.1016/j.insmatheco.2015.05.012
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    Cited by:

    1. Crainich, David & Eeckhoudt, Louis & Menegatti, Mario, 2016. "Changing risks and optimal effort," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 97-106.
    2. Christoph Heinzel & Richard Peter, 2021. "Precautionary motives with multiple instruments [Motifs de précaution en cas de multiples instruments]," Working Papers hal-03484875, HAL.
    3. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2020. "The theory of precautionary saving: an overview of recent developments," Review of Economics of the Household, Springer, vol. 18(2), pages 513-542, June.
    4. Peter, Richard, 2017. "Optimal self-protection in two periods: On the role of endogenous saving," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 19-36.
    5. Heinzel Christoph & Richard Peter, 2021. "Precautionary motives with multiple instruments," Working Papers SMART 21-09, INRAE UMR SMART.
    6. Heinzel, Christoph & Peter, Richard, 2021. "Precautionary motives with multiple instruments," Working Papers 316521, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    7. Liqun Liu & William S. Neilson, 2019. "Alternative Approaches to Comparative n th-Degree Risk Aversion," Management Science, INFORMS, vol. 65(8), pages 3824-3834, August.
    8. Desu Liu & Mario Menegatti, 2019. "Optimal saving and health prevention," Journal of Economics, Springer, vol. 128(2), pages 177-191, October.
    9. Crainich, David & Menegatti, Mario, 2021. "Self-protection with random costs," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 63-67.
    10. Mario Menegatti, 2018. "Prudence and Different Kinds of Prevention," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 44(2), pages 273-285, April.
    11. Wang, Hongxia & Wang, Jianli & Yin, Yick Ho, 2018. "Willingness to pay for stochastic improvements of future risk under different risk aversion," Economics Letters, Elsevier, vol. 168(C), pages 52-55.
    12. Liqun Liu & Andrew J. Rettenmaier & Thomas R. Saving, 2019. "Staying the Course or Rolling the Dice: Time Horizon’s Effect on the Propensity to Take Risk," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 42(1), pages 66-85.
    13. Heinzel, Christoph & Peter, Richard, 2023. "Precaution with multiple instruments: The importance of substitution effects," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 392-412.

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    More about this item

    Keywords

    Background risk; Stochastic improvements; Cross-prudence; Precautionary saving; Precautionary effort;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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