IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v174y2019icp123-127.html
   My bibliography  Save this article

Revisiting precautionary saving under ambiguity

Author

Listed:
  • Peter, Richard

Abstract

I study the two-period consumption-saving problem with non-separable utility under ambiguity. Under smooth ambiguity aversion, ambiguity and greater ambiguity aversion raise optimal saving. When relative prudence in ambiguity preferences does not exceed 2, agents who perceive greater ambiguity have a higher demand for saving. While a convex marginal ambiguity function is not sufficient for precautionary saving in time-separable models (Berger, 2014), I show that it is not even necessary in a time non-separable setting.

Suggested Citation

  • Peter, Richard, 2019. "Revisiting precautionary saving under ambiguity," Economics Letters, Elsevier, vol. 174(C), pages 123-127.
  • Handle: RePEc:eee:ecolet:v:174:y:2019:i:c:p:123-127
    DOI: 10.1016/j.econlet.2018.11.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176518304671
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2018.11.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Miles Kimball & Philippe Weil, 2009. "Precautionary Saving and Consumption Smoothing across Time and Possibilities," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2‐3), pages 245-284, March.
    3. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1614-1641.
    4. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    5. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    6. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
    7. Berger, Loïc, 2014. "Precautionary saving and the notion of ambiguity prudence," Economics Letters, Elsevier, vol. 123(2), pages 248-251.
    8. Arthur Snow, 2010. "Ambiguity and the value of information," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 133-145, April.
    9. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    10. W. Chiu & Louis Eeckhoudt & Beatrice Rey, 2012. "On relative and partial risk attitudes: theory and implications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 151-167, May.
    11. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(3), pages 353-360.
    12. Christian Gollier, 2011. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," Review of Economic Studies, Oxford University Press, vol. 78(4), pages 1329-1344.
    13. Loic Berger & Valentina Bosetti, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," Working Papers 2016.37, Fondazione Eni Enrico Mattei.
    14. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    15. Arthur Snow, 2011. "Ambiguity aversion and the propensities for self-insurance and self-protection," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 27-43, February.
    16. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
    17. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    18. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    19. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
    20. Liu, Liqun, 2014. "Precautionary saving in the large: nth degree deteriorations in future income," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 169-172.
    21. Michael Hoy & Richard Peter & Andreas Richter, 2014. "Take-up for genetic tests and ambiguity," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 111-133, April.
    22. William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
    23. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    24. David Alary & Christian Gollier & Nicolas Treich, 2013. "The Effect of Ambiguity Aversion on Insurance and Self‐protection," Economic Journal, Royal Economic Society, vol. 123(12), pages 1188-1202, December.
    25. Loic Berger & Valentina Bosetti, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," Working Papers 2016.37, Fondazione Eni Enrico Mattei.
    26. Stephen Dimmock & Roy Kouwenberg & Olivia Mitchell & Kim Peijnenburg, 2015. "Estimating ambiguity preferences and perceptions in multiple prior models: Evidence from the field," Journal of Risk and Uncertainty, Springer, vol. 51(3), pages 219-244, December.
    27. Yi‐Chieh Huang & Larry Y. Tzeng, 2018. "A Mean‐Preserving Increase in Ambiguity and Portfolio Choices," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 85(4), pages 993-1012, December.
    28. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    29. repec:dau:papers:123456789/4434 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Eric André & Antoine Bommier & François Le Grand, 2022. "The impact of risk aversion and ambiguity aversion on annuity and saving choices," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 33-56, August.
    2. Suen, Richard M. H., 2022. "Precautionary Saving Behaviour under Ambiguity," MPRA Paper 114382, University Library of Munich, Germany.
    3. Claudio Bonilla & Marcos Vergara, 2022. "New results on precautionary saving and nonlinear risks," Journal of Economics, Springer, vol. 136(2), pages 177-189, July.
    4. Caliendo, Frank N. & Gorry, Aspen & Slavov, Sita, 2020. "Survival ambiguity and welfare," Journal of Economic Behavior & Organization, Elsevier, vol. 170(C), pages 20-42.
    5. Malafry, Laurence & Brinca, Pedro, 2022. "Climate policy in an unequal world: Assessing the cost of risk on vulnerable households," Ecological Economics, Elsevier, vol. 194(C).
    6. Yuanping Wang & Yingjie Niu & Siwen Gong, 2022. "Robust consumption policy with the desire for wealth accumulation," Review of Economics of the Household, Springer, vol. 20(3), pages 993-1025, September.
    7. 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.
    8. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    9. Takao Asano & Yusuke Osaki, 2020. "Portfolio allocation problems between risky and ambiguous assets," Annals of Operations Research, Springer, vol. 284(1), pages 63-79, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    2. 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.
    3. Simon Quemin, 2016. "Intertemporal abatement decisions under ambiguity aversion in a cap and trade," Working Papers 1604, Chaire Economie du climat.
    4. Huang, Yi-Chieh & Tzeng, Larry Y. & Zhao, Lin, 2015. "Comparative ambiguity aversion and downside ambiguity aversion," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 257-269.
    5. Heinzel Christoph & Richard Peter, 2021. "Precautionary motives with multiple instruments," Working Papers SMART 21-09, INRAE UMR SMART.
    6. Jouini, Elyès & Napp, Clotilde & Nocetti, Diego, 2013. "On multivariate prudence," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1255-1267.
    7. Victor Filipe Martins da Rocha & Rafael Mouallem, 2020. "Second-Order Beliefs and Second-Order Expected Utility," Working Papers hal-02922263, HAL.
    8. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    9. Takao Asano & Yusuke Osaki, 2022. "Precautionary Saving against Correlation under Risk and Ambiguity," KIER Working Papers 1071, Kyoto University, Institute of Economic Research.
    10. Takao Asano & Yusuke Osaki, 2020. "Portfolio allocation problems between risky and ambiguous assets," Annals of Operations Research, Springer, vol. 284(1), pages 63-79, January.
    11. Eric André & Antoine Bommier & François Le Grand, 2022. "The impact of risk aversion and ambiguity aversion on annuity and saving choices," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 33-56, August.
    12. Christoph Heinzel & Richard Peter, 2021. "Precautionary motives with multiple instruments [Motifs de précaution en cas de multiples instruments]," Working Papers hal-03484875, HAL.
    13. 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).
    14. Loïc Berger, 2014. "The Impact of Ambiguity Prudence on Insurance and Prevention," Working Papers ECARES ECARES 2014-08, ULB -- Universite Libre de Bruxelles.
    15. AJ A. Bostian & Christoph Heinzel, 2018. "Comparative precautionary saving under higher-order risk and recursive utility," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 95-114, May.
    16. AJ A. Bostian & Christoph Heinzel, 2016. "Consumption Smoothing and Precautionary Saving under Recursive Preferences," FOODSECURE Working papers 44, LEI Wageningen UR.
    17. Antoine Bommier & François Le Grand, 2019. "Risk Aversion and Precautionary Savings in Dynamic Settings," Management Science, INFORMS, vol. 65(3), pages 1386-1397, March.
    18. Diego C. Nocetti, 2018. "Ambiguity and the value of information revisited," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 25-38, May.
    19. Suen, Richard M. H., 2022. "Precautionary Saving Behaviour under Ambiguity," MPRA Paper 114382, University Library of Munich, Germany.
    20. 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.

    More about this item

    Keywords

    Ambiguity aversion; Non-expected utility; Uncertainty; Saving; Comparative statics;
    All these keywords.

    JEL classification:

    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:174:y:2019:i:c:p:123-127. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.