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On the substitution between saving and prevention

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  • M. Menegatti

    ()

  • F. Rebessi

Abstract

This work makes a joint analysis of prevention and saving decisions. First we determine the optimal levels of the two variables and we analyze substitution between them. Second we provide some comparative statics results in order to determine the effects on optimal saving and prevention of changes in exogenous present and future wealth and in possible future loss. Finally we introduce insurance into the model and we extend the separation result, derived in the literature which studies the substitution between insurance and saving, to the case where prevention is considered too.

Suggested Citation

  • M. Menegatti & F. Rebessi, 2010. "On the substitution between saving and prevention," Economics Department Working Papers 2010-EP03, Department of Economics, Parma University (Italy).
  • Handle: RePEc:par:dipeco:2010-ep03
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    References listed on IDEAS

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    1. Dionne, Georges & Eeckhoudt, Louis, 1984. "Insurance and saving: some further results," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 101-110, April.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Menegatti, Mario, 2009. "Optimal prevention and prudence in a two-period model," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 393-397, November.
    4. Bruno Jullien & Bernard Salanié & François Salanié, 1999. "Should More Risk-Averse Agents Exert More Effort?," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 24(1), pages 19-28, June.
    5. Louis Eeckhoudt & Rachel J. Huang & Larry Y. Tzeng, 2012. "Precautionary Effort: A New Look," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(2), pages 585-590, June.
    6. Dionne, Georges & Eeckhoudt, Louis, 1985. "Self-insurance, self-protection and increased risk aversion," Economics Letters, Elsevier, vol. 17(1-2), pages 39-42.
    7. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    8. Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
    9. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-648, July-Aug..
    10. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
    11. Dionne, Georges & Li, Jingyuan, 2011. "The impact of prudence on optimal prevention revisited," Economics Letters, Elsevier, vol. 113(2), pages 147-149.
    12. Louis Eeckhoudt & Christian Gollier, 2005. "The impact of prudence on optimal prevention," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 989-994, November.
    13. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
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    Cited by:

    1. repec:eee:jeborg:v:137:y:2017:i:c:p:19-36 is not listed on IDEAS
    2. Hofmann, Annette & Peter, Richard, 2012. "Self-insurance, self-protection, and increased risk aversion: An intertemporal reinvestigation," Working Papers on Risk and Insurance 26, University of Hamburg, Institute for Risk and Insurance.
    3. Mario Menegatti, 2012. "New results on optimal prevention of risk averse agents," Economics Bulletin, AccessEcon, vol. 32(3), pages 2166-2173.
    4. Annette Hofmann & Richard Peter, 2016. "Self-Insurance, Self-Protection, and Saving: On Consumption Smoothing and Risk Management," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 719-734, September.
    5. Christophe Courbage & Henry Loubergé & Richard Peter, 2013. "Optimal Prevention for Correlated Risks," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 13071, Institut d'Economie et Econométrie, Université de Genève.
    6. repec:bla:jrinsu:v:84:y:2017:i:3:p:899-922 is not listed on IDEAS

    More about this item

    Keywords

    Prevention; Saving; Insurance;

    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

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