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Precautionary motives with multiple instruments

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  • Heinzel Christoph
  • Richard Peter

Abstract

Using a unified approach, we show how precautionary saving, self-protection and self-insurance are jointly determined by risk preferences and the preference over the timing of uncertainty resolution. We cover higher-order risk effects and examine both risk averters and risk lovers. When decision-makers use several instruments simultaneously to respond to income risk, substitutive interaction effects arise. We quantify precautionary and substitution effects numerically and discuss the role of instrument interaction for the inference of preference parameters from precautionary motives. Instruments can differ substantially in the size of the precautionary motive and in the susceptibility to substitution effects. This affects their suitability for the identification of precautionary preferences.

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  • Heinzel Christoph & Richard Peter, 2021. "Precautionary motives with multiple instruments," Working Papers SMART 21-09, INRAE UMR SMART.
  • Handle: RePEc:rae:wpaper:202109
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    1. Mariacristina De Nardi & Giulio Fella & Gonzalo Paz-Pardo, 2020. "Nonlinear Household Earnings Dynamics, Self-Insurance, and Welfare," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 890-926.
    2. Sebastian Ebert & Diego C. Nocetti & Harris Schlesinger, 2018. "Greater Mutual Aggravation," Management Science, INFORMS, vol. 64(6), pages 2809-2811, June.
    3. Dionne, Georges & Eeckhoudt, Louis, 1984. "Insurance and saving: some further results," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 101-110, April.
    4. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    5. Menezes, Carmen F. & Wang, X.Henry, 2005. "Increasing outer risk," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 875-886, November.
    6. Courbage, Christophe & Rey, Béatrice, 2012. "Optimal prevention and other risks in a two-period model," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 213-217.
    7. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    8. Elyès Jouini & Clotilde Napp & Diego Nocetti, 2013. "Economic consequences of Nth-degree risk increases and Nth-degree risk attitudes," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 199-224, October.
    9. Courbage, Christophe & Rey, Béatrice & Treich, Nicolas, 2013. "Prevention and precaution," IDEI Working Papers 805, Institut d'Économie Industrielle (IDEI), Toulouse.
    10. 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.
    11. Hamish Low, 2005. "Self-Insurance in a Life-Cycle Model of Labor Supply and Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 945-975, October.
    12. Hamish Low & Costas Meghir & Luigi Pistaferri, 2010. "Wage Risk and Employment Risk over the Life Cycle," American Economic Review, American Economic Association, vol. 100(4), pages 1432-1467, September.
    13. Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
    14. Starr-McCluer, Martha, 1996. "Health Insurance and Precautionary Savings," American Economic Review, American Economic Association, vol. 86(1), pages 285-295, March.
    15. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    16. Jonathan Gruber & Aaron Yelowitz, 1999. "Public Health Insurance and Private Savings," Journal of Political Economy, University of Chicago Press, vol. 107(6), pages 1249-1274, December.
    17. Merrigan, Philip & Normandin, Michel, 1996. "Precautionary Saving Motives: An Assessment from UK Time Series of Cross-Sections," Economic Journal, Royal Economic Society, vol. 106(438), pages 1193-1208, September.
    18. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    19. Carroll Christopher Dixon, 2001. "Death to the Log-Linearized Consumption Euler Equation! (And Very Poor Health to the Second-Order Approximation)," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-38, April.
    20. Alba Lugilde & Roberto Bande & Dolores Riveiro, 2019. "Precautionary Saving: A Review Of The Empirical Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 33(2), pages 481-515, April.
    21. Wenan Fei & Harris Schlesinger, 2008. "Precautionary Insurance Demand With State‐Dependent Background Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(1), pages 1-16, March.
    22. Nocetti, Diego C., 2013. "The LeChatelier principle for changes in risk," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 460-466.
    23. 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.
    24. Diego Nocetti & William T. Smith, 2011. "Precautionary Saving and Endogenous Labor Supply with and without Intertemporal Expected Utility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(7), pages 1475-1504, October.
    25. Paan Jindapon & Christopher Whaley, 2015. "Risk lovers and the rent over-investment puzzle," Public Choice, Springer, vol. 164(1), pages 87-101, July.
    26. Wang, Jianli & Wang, Hongxia & Yick, Ho Yin, 2019. "How do changes in risk and risk aversion affect self-protection with Selden/Kreps–Porteus preferences?," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 1-6.
    27. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    28. Sydney Ludvigson & Christina H. Paxson, 2001. "Approximation Bias In Linearized Euler Equations," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 242-256, May.
    29. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 275-298.
    30. Christian Gollier, 2003. "To Insure or Not to Insure?: An Insurance Puzzle," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 28(1), pages 5-24, June.
    31. Robert J. Barro, 2015. "Environmental Protection, Rare Disasters and Discount Rates," Economica, London School of Economics and Political Science, vol. 82(325), pages 1-23, January.
    32. 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.
    33. Wang, Jianli & Li, Jingyuan, 2016. "Lattice-based monotone comparative statics on saving with Selden/Kreps–Porteus preferences," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 132-138.
    34. Charles N. Noussair & Stefan T. Trautmann & Gijs van de Kuilen, 2014. "Higher Order Risk Attitudes, Demographics, and Financial Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 325-355.
    35. Han (H.) Bleichrodt & Paul van Bruggen, 2018. "Reflection for higher order risk preferences," Tinbergen Institute Discussion Papers 18-079/I, Tinbergen Institute.
    36. 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.
    37. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1992. "Earnings uncertainty and precautionary saving," Journal of Monetary Economics, Elsevier, vol. 30(2), pages 307-337, November.
    38. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    39. Dionne, Georges & Eeckhoudt, Louis, 1985. "Self-insurance, self-protection and increased risk aversion," Economics Letters, Elsevier, vol. 17(1-2), pages 39-42.
    40. 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.
    41. Jonathan A. Parker, 1999. "The Reaction of Household Consumption to Predictable Changes in Social Security Taxes," American Economic Review, American Economic Association, vol. 89(4), pages 959-973, September.
    42. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    43. Lu Li & Richard Peter, 2021. "Should we do more when we know less? The effect of technology risk on optimal effort," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(3), pages 695-725, September.
    44. Patrick L. Brockett & Linda L. Golden, 1987. "A Class of Utility Functions Containing all the Common Utility Functions," Management Science, INFORMS, vol. 33(8), pages 955-964, August.
    45. Menegatti, Mario & Rebessi, Filippo, 2011. "On the substitution between saving and prevention," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 176-182.
    46. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    47. David Crainich & Louis Eeckhoudt & Alain Trannoy, 2013. "Even (Mixed) Risk Lovers Are Prudent," American Economic Review, American Economic Association, vol. 103(4), pages 1529-1535, June.
    48. Diego C. Nocetti, 2016. "Robust Comparative Statics of Risk Changes," Management Science, INFORMS, vol. 62(5), pages 1381-1392, May.
    49. Lee, Jeong-Joon & Sawada, Yasuyuki, 2007. "The degree of precautionary saving: A reexamination," Economics Letters, Elsevier, vol. 96(2), pages 196-201, August.
    50. 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..
    51. Richard Blundell & Luigi Pistaferri & Itay Saporta-Eksten, 2016. "Consumption Inequality and Family Labor Supply," American Economic Review, American Economic Association, vol. 106(2), pages 387-435, February.
    52. 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.
    53. Trautmann, Stefan T. & Kuilen, Gijs van de, 2018. "Higher order risk attitudes: A review of experimental evidence," European Economic Review, Elsevier, vol. 103(C), pages 108-124.
    54. Engen, Eric M. & Gruber, Jonathan, 2001. "Unemployment insurance and precautionary saving," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 545-579, June.
    55. 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.
    56. Skinner, Jonathan, 1988. "Risky income, life cycle consumption, and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 237-255, September.
    57. Chou, Shin-Yi & Liu, Jin-Tan & Hammitt, James K., 2003. "National Health Insurance and precautionary saving: evidence from Taiwan," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1873-1894, September.
    58. repec:dau:papers:123456789/12392 is not listed on IDEAS
    59. Georges Dionne (ed.), 2013. "Handbook of Insurance," Springer Books, Springer, edition 2, number 978-1-4614-0155-1, September.
    60. Jindapon, Paan, 2013. "Do risk lovers invest in self-protection?," Economics Letters, Elsevier, vol. 121(2), pages 290-293.
    61. Kuehlwein, Michael, 1991. "A test for the presence of precautionary saving," Economics Letters, Elsevier, vol. 37(4), pages 471-475, December.
    62. Jianli Wang & Jingyuan Li, 2015. "Precautionary Effort: Another Trait for Prudence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(4), pages 977-983, December.
    63. 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.
    64. Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
    65. Sobel, Joel, 2019. "Iterated weak dominance and interval-dominance supermodular games," Theoretical Economics, Econometric Society, vol. 14(1), January.
    66. Martin Flodén, 2006. "Labour Supply and Saving Under Uncertainty," Economic Journal, Royal Economic Society, vol. 116(513), pages 721-737, July.
    67. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    68. Donald Meyer & Jack Meyer, 2005. "Relative Risk Aversion: What Do We Know?," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 243-262, December.
    69. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    70. Selden, Larry, 1978. "A New Representation of Preferences over "Certain A Uncertain" Consumption Pairs: The "Ordinal Certainty Equivalent" Hypothesis," Econometrica, Econometric Society, vol. 46(5), pages 1045-1060, September.
    71. Ebert, Sebastian, 2015. "On skewed risks in economic models and experiments," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 85-97.
    72. Eric Briys & Harris Schlesinger & J.-Matthias Graf v. d. Schulenburg, 1991. "Reliability of Risk Management: Market Insurance, Self-Insurance and Self-Protection Reconsidered," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 16(1), pages 45-58, June.
    73. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
    74. Karen E. Dynan, 1993. "How prudent are consumers?," Working Paper Series / Economic Activity Section 135, Board of Governors of the Federal Reserve System (U.S.).
    75. 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.
    76. Minchung Hsu, 2013. "Health Insurance and Precautionary Saving: A Structural Analysis," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 511-526, July.
    77. Samuelson, Paul A, 1974. "Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1255-1289, December.
    78. 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.
    79. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
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    More about this item

    Keywords

    Préférences récursives; prudence; comportement de précaution; effets d’interaction; statique comparative.;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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