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Precautionary saving under many risks

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  • Donatella Baiardi
  • Marco Magnani
  • Mario Menegatti

Abstract

This paper studies precautionary saving when many small risks are considered. We first introduce two simultaneous risks: labor income and interest rate risks. We show that, in this context, sufficient conditions for precautionary saving are weaker than in similar models. Moreover, we find that, unlike previous literature, precautionary saving can occur in the case of negative covariance between the two risks and in the case of imprudence. We then extend our analysis to a three-risk framework, where a background risk is included. We derive sufficient conditions for precautionary saving which are interpreted in the light of the previous literature. Copyright Springer-Verlag Wien 2014

Suggested Citation

  • Donatella Baiardi & Marco Magnani & Mario Menegatti, 2014. "Precautionary saving under many risks," Journal of Economics, Springer, vol. 113(3), pages 211-228, November.
    • Handle: RePEc:kap:jeczfn:v:113:y:2014:i:3:p:211-228
    DOI: 10.1007/s00712-013-0366-0
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    Citations

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    Cited by:

    1. Maik Heinemann & Alexander Wulff, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," Working Papers 2015019, Berlin Doctoral Program in Economics and Management Science (BDPEMS).
    2. Mensah, Edouard R. & Filipski, Mateusz J., 2022. "Saving for a rainy day: the impact of natural disasters on savings rates," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322266, Agricultural and Applied Economics Association.
    3. Georgescu, Irina & Kinnunen, Jani, 2020. "The interest rate for saving as a possibilistic risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    4. 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.
    5. 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.
    6. Marco Magnani & Mario Menegatti, 2015. "Precautionary saving and changes in risk correlation," Economics Bulletin, AccessEcon, vol. 35(1), pages 561-570.
    7. Baiardi, Donatella & De Donno, Marzia & Magnani, Marco & Menegatti, Mario, 2015. "New results on precautionary saving under two risks," Economics Letters, Elsevier, vol. 130(C), pages 17-20.
    8. Christophe Courbage & Richard Peter & Béatrice Rey, 2022. "Incentive and welfare effects of correlated returns," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 5-34, March.
    9. Wulff, Alexander & Heinemann, Maik, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113165, Verein für Socialpolitik / German Economic Association.
    10. Wong, Kit Pong, 2022. "Diversification and risk attitudes toward two risks," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    11. Hun Seog, S. & Hong, Jimin, 2022. "Market insurance and endogenous saving with multiple loss states," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    12. Marzia Donno & Marco Magnani & Mario Menegatti, 2020. "Changes in multiplicative risks and optimal portfolio choice: new interpretations and results," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 251-267, June.
    13. Claudio Bonilla & Marcos Vergara, 2022. "New results on precautionary saving and nonlinear risks," Journal of Economics, Springer, vol. 136(2), pages 177-189, July.
    14. Desu Liu & Mario Menegatti, 2019. "Optimal saving and health prevention," Journal of Economics, Springer, vol. 128(2), pages 177-191, October.
    15. Marco Magnani, 2020. "Precautionary retirement and precautionary saving," Journal of Economics, Springer, vol. 129(1), pages 49-77, January.
    16. Marco Magnani, 2017. "A new interpretation of the condition for precautionary saving in the presence of an interest-rate risk," Journal of Economics, Springer, vol. 120(1), pages 79-87, January.
    17. Brianti, Marco & Magnani, Marco & Menegatti, Mario, 2018. "Optimal choice of prevention and cure under uncertainty on disease effect and cure effectiveness," Research in Economics, Elsevier, vol. 72(2), pages 327-342.

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    More about this item

    Keywords

    Precautionary saving; Labor income risk; Interest rate risk; Background risk; Prudence; Partial relative prudence; D81; E21; D11;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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