IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v70y2009i1-2p374-388.html
   My bibliography  Save this article

A simultaneous approach to the estimation of risk aversion and the subjective time discount rate

Author

Listed:
  • Booij, Adam S.
  • van Praag, Bernard M.S.

Abstract

In this paper we analyze a sample of 1832 individuals who responded to six randomly generated lottery questions that differ with respect to chance, prize and the timing of the draw. Using a model that explicitly allows for consumption smoothing, we obtain an estimate of relative risk aversion of 82. Instead, assuming consumption to be immediate gives an estimate of 2, close to what is traditionally reported, while a model of full asset integration gives estimates higher by several orders of magnitude. Our results show that estimated risk aversion is sensitive to the assumptions made with respect to the consumption profile and that it is possible to determine the level of asset integration endogenously. The average subjective time discount rate, which includes a preference for the present, equals 6 percent per month. It is found that both parameters vary strongly over individuals and that the variation can be explained by income, age, gender, and entrepreneurship, consistent with the majority of previous evidence.

Suggested Citation

  • Booij, Adam S. & van Praag, Bernard M.S., 2009. "A simultaneous approach to the estimation of risk aversion and the subjective time discount rate," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 374-388, May.
    • Handle: RePEc:eee:jeborg:v:70:y:2009:i:1-2:p:374-388
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-2681(09)00010-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. repec:feb:framed:0074 is not listed on IDEAS
    2. John D. Hey, 2018. "Why We Should Not Be Silent About Noise," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 13, pages 309-329, World Scientific Publishing Co. Pte. Ltd..
    3. Hans P. Binswanger, 1980. "Attitudes Toward Risk: Experimental Measurement in Rural India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 395-407.
    4. Camerer, Colin F & Hogarth, Robin M, 1999. "The Effects of Financial Incentives in Experiments: A Review and Capital-Labor-Production Framework," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 7-42, December.
    5. Arie Kapteyn & Federica Teppa, 2003. "Hypothetical Intertemporal Consumption Choices," Economic Journal, Royal Economic Society, vol. 113(486), pages 140-152, March.
    6. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    7. Bruno Jullien & Bernard Salanie, 2000. "Estimating Preferences under Risk: The Case of Racetrack Bettors," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 503-530, June.
    8. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    9. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde & Jürgen Schupp & Gert G. Wagner, 2005. "Individual Risk Attitudes: New Evidence from a Large, Representative, Experimentally-Validated Survey," Discussion Papers of DIW Berlin 511, DIW Berlin, German Institute for Economic Research.
    10. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    11. Charles A. Holt & Susan K. Laury, 2005. "Risk Aversion and Incentive Effects: New Data without Order Effects," American Economic Review, American Economic Association, vol. 95(3), pages 902-912, June.
    12. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344, December.
    13. Ariel Rubinstein, 2006. "Dilemmas of an Economic Theorist," Econometrica, Econometric Society, vol. 74(4), pages 865-883, July.
    14. Gabriel Picone & Frank Sloan & Donald Taylor, 2004. "Effects of Risk and Time Preference and Expected Longevity on Demand for Medical Tests," Journal of Risk and Uncertainty, Springer, vol. 28(1), pages 39-53, January.
    15. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    16. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    17. Glenn W Harrison & John A List & Charles Towe, 2007. "Naturally Occurring Preferences and Exogenous Laboratory Experiments: A Case Study of Risk Aversion," Econometrica, Econometric Society, vol. 75(2), pages 433-458, March.
    18. Warneryd, Karl-Erik, 1996. "Risk attitudes and risky behavior," Journal of Economic Psychology, Elsevier, vol. 17(6), pages 749-770, December.
    19. Arie Kapteyn & Federica Teppa, 2002. "Subjective Measures of Risk Aversion and Portfolio Choice," Working Papers DRU-2802, RAND Corporation.
    20. Trostel, Philip A & Taylor, Grant A, 2001. "A Theory of Time Preference," Economic Inquiry, Western Economic Association International, vol. 39(3), pages 379-395, July.
    21. Bernard M.S. van Praag & Adam S. Booij, 2003. "Risk Aversion and the Subjective Time Discount Rate: A Joint Approach," CESifo Working Paper Series 923, CESifo.
    22. Van Praag, Bernard, 1971. "The welfare function of income in Belgium: An empirical investigation," European Economic Review, Elsevier, vol. 11(3), pages 337-369.
    23. Cramer, J. S. & Hartog, J. & Jonker, N. & Van Praag, C. M., 2002. "Low risk aversion encourages the choice for entrepreneurship: an empirical test of a truism," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 29-36, May.
    24. Glenn W. Harrison & Morten I. Lau & Melonie B. Williams, 2002. "Estimating Individual Discount Rates in Denmark: A Field Experiment," American Economic Review, American Economic Association, vol. 92(5), pages 1606-1617, December.
    25. Beetsma, Roel M W J & Schotman, Peter C, 2001. "Measuring Risk Attitudes in a Natural Experiment: Data from the Television Game Show Lingo," Economic Journal, Royal Economic Society, vol. 111(474), pages 821-848, October.
    26. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    27. Joop Hartog & Ada Ferrer‐i‐Carbonell & Nicole Jonker, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
    28. Graham Loomes, 2005. "Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 301-323, December.
    29. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    30. Laura Schechter, 2007. "Risk aversion and expected-utility theory: A calibration exercise," Journal of Risk and Uncertainty, Springer, vol. 35(1), pages 67-76, August.
    31. Matthew Rabin & Richard H. Thaler, 2002. "Response [Anomalies: Risk Aversion]," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 229-230, Spring.
    32. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    33. Ulrich Schmidt & John D. Hey, 2018. "Are Preference Reversals Errors? An Experimental Investigation," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 15, pages 353-364, World Scientific Publishing Co. Pte. Ltd..
    34. van Praag, B. M. S. & Frijters, P. & Ferrer-i-Carbonell, A., 2003. "The anatomy of subjective well-being," Journal of Economic Behavior & Organization, Elsevier, vol. 51(1), pages 29-49, May.
    35. Maribeth Coller & Melonie Williams, 1999. "Eliciting Individual Discount Rates," Experimental Economics, Springer;Economic Science Association, vol. 2(2), pages 107-127, December.
    36. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    37. repec:bla:jfinan:v:59:y:2004:i:1:p:407-446 is not listed on IDEAS
    38. Catherine Eckel & Cathleen Johnson & Claude Montmarquette, 2005. "Saving Decisions Of The Working Poor: Short- And Long-Term Horizons," Research in Experimental Economics, in: Field Experiments in Economics, pages 219-260, Emerald Group Publishing Limited.
    39. Bretteville-Jensen, A.L., 1999. "Addiction and Discounting," Norway; Department of Economics, University of Bergen 198, Department of Economics, University of Bergen.
    40. Donkers, Bas & Melenberg, Bertrand & Van Soest, Arthur, 2001. "Estimating Risk Attitudes Using Lotteries: A Large Sample Approach," Journal of Risk and Uncertainty, Springer, vol. 22(2), pages 165-195, March.
    41. Enrica Carbone & John D. Hey, 2018. "Which Error Story is Best?," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 16, pages 365-380, World Scientific Publishing Co. Pte. Ltd..
    42. Cox, James C. & Sadiraj, Vjollca, 2006. "Small- and large-stakes risk aversion: Implications of concavity calibration for decision theory," Games and Economic Behavior, Elsevier, vol. 56(1), pages 45-60, July.
    43. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    44. Charness, Gary B & Gneezy, Uri, 2007. "Strong Evidence for Gender Differences in Investment," University of California at Santa Barbara, Economics Working Paper Series qt428481s8, Department of Economics, UC Santa Barbara.
    45. Komlos, John & Smith, Patricia K. & Bogin, Barry, 2003. "Obesity and the Rate of Time Preference: Is there a Connection?," Discussion Papers in Economics 60, University of Munich, Department of Economics.
    46. Borghans, Lex & Golsteyn, Bart H.H., 2006. "Time discounting and the body mass index: Evidence from the Netherlands," Economics & Human Biology, Elsevier, vol. 4(1), pages 39-61, January.
    47. Pavlo R. Blavatskyy, "undated". "A Stochastic Expected Utility Theory," IEW - Working Papers 231, Institute for Empirical Research in Economics - University of Zurich.
    48. Matthew Rabin & Richard H. Thaler, 2013. "Anomalies: Risk aversion," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 27, pages 467-480, World Scientific Publishing Co. Pte. Ltd..
    49. Syngjoo Choi & Raymond Fisman & Douglas Gale & Shachar Kariv, 2007. "Substantive and Procedural Rationality in Decisions under Uncertainty," Levine's Bibliography 122247000000000946, UCLA Department of Economics.
    50. Donkers, Bas & van Soest, Arthur, 1999. "Subjective measures of household preferences and financial decisions," Journal of Economic Psychology, Elsevier, vol. 20(6), pages 613-642, December.
    51. Bretteville-Jensen, A. L., 1999. "Addiction and discounting1," Journal of Health Economics, Elsevier, vol. 18(4), pages 393-407, August.
    52. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
    53. Kapteyn, A. & Teppa, F., 2002. "Subjective Measures of Risk Aversion and Portfolio Choice," Discussion Paper 2002-11, Tilburg University, Center for Economic Research.
    54. Pender, John L., 1996. "Discount rates and credit markets: Theory and evidence from rural india," Journal of Development Economics, Elsevier, vol. 50(2), pages 257-296, August.
    55. John List & Craig Gallet, 2001. "What Experimental Protocol Influence Disparities Between Actual and Hypothetical Stated Values?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 20(3), pages 241-254, November.
    56. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    57. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344.
    58. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 537-579.
    59. Uri Benzion & Amnon Rapoport & Joseph Yagil, 1989. "Discount Rates Inferred from Decisions: An Experimental Study," Management Science, INFORMS, vol. 35(3), pages 270-284, March.
    60. 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.
    61. Frank Heinemann, 2008. "Measuring risk aversion and the wealth effect," Research in Experimental Economics, in: Risk Aversion in Experiments, pages 293-313, Emerald Group Publishing Limited.
    62. Joop Hartog & Hans van Ophem & Simona Maria Bajdechi, 2004. "How Risky is Investment in Human Capital?," Tinbergen Institute Discussion Papers 04-080/3, Tinbergen Institute.
    63. Angelina Lazaro & Ramon Barberan & Encarnacion Rubio, 2001. "Private and social time preferences for health and money: an empirical estimation," Health Economics, John Wiley & Sons, Ltd., vol. 10(4), pages 351-356, June.
    64. Read, Daniel & Read, N. L., 2004. "Time discounting over the lifespan," Organizational Behavior and Human Decision Processes, Elsevier, vol. 94(1), pages 22-32, May.
    65. Joop Hartog & Hans van Ophem & Simona Maria Bajdechi, 2004. "How Risky is Investment in Human Capital?," CESifo Working Paper Series 1261, CESifo.
    66. 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.
    67. Glenn Harrison & Morten Lau & Elisabet Rutstrom & Melonie Williams, 2006. "Eliciting risk and time preferences using field experiments: Some methodological issues," Artefactual Field Experiments 00063, The Field Experiments Website.
    Full references (including those not matched with items on IDEAS)

    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. Adam Booij & Bernard Praag & Gijs Kuilen, 2010. "A parametric analysis of prospect theory’s functionals for the general population," Theory and Decision, Springer, vol. 68(1), pages 115-148, February.
    2. Galizzi, Matteo M. & Miraldo, Marisa & Stavropoulou, Charitini & van der Pol, Marjon, 2016. "Doctor–patient differences in risk and time preferences: A field experiment," Journal of Health Economics, Elsevier, vol. 50(C), pages 171-182.
    3. C. Leigh ANDERSON & Mary Kay GUGERTY, 2009. "Intertemporal Choice And Development Policy: New Evidence On Time‐Varying Discount Rates From Vietnam And Russia," The Developing Economies, Institute of Developing Economies, vol. 47(2), pages 123-146, June.
    4. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    5. Lex Borghans & Angela Lee Duckworth & James J. Heckman & Bas ter Weel, 2008. "The Economics and Psychology of Personality Traits," Journal of Human Resources, University of Wisconsin Press, vol. 43(4).
    6. Marieka M. Klawitter & C. Leigh Anderson & Mary Kay Gugerty, 2013. "Savings And Personal Discount Rates In A Matched Savings Program For Low-Income Families," Contemporary Economic Policy, Western Economic Association International, vol. 31(3), pages 468-485, July.
    7. Thomas Meissner & Xavier Gassmann & Corinne Faure & Joachim Schleich, 2023. "Individual characteristics associated with risk and time preferences: A multi country representative survey," Journal of Risk and Uncertainty, Springer, vol. 66(1), pages 77-107, February.
    8. Booij, Adam S. & van de Kuilen, Gijs, 2009. "A parameter-free analysis of the utility of money for the general population under prospect theory," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 651-666, August.
    9. Galizzi, Matteo M. & Machado, Sara R. & Miniaci, Raffaele, 2016. "Temporal stability, cross-validity, and external validity of risk preferences measures: experimental evidence from a UK representative sample," LSE Research Online Documents on Economics 67554, London School of Economics and Political Science, LSE Library.
    10. Richards, Timothy J. & Hamilton, Stephen F., 2012. "Obesity and Hyperbolic Discounting: An Experimental Analysis," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 37(2), pages 1-18, August.
    11. James Andreoni & Charles Sprenger, 2012. "Estimating Time Preferences from Convex Budgets," American Economic Review, American Economic Association, vol. 102(7), pages 3333-3356, December.
    12. Bernard M.S. van Praag & Adam S. Booij, 2003. "Risk Aversion and the Subjective Time Discount Rate: A Joint Approach," CESifo Working Paper Series 923, CESifo.
    13. Tomomi Tanaka & Colin F. Camerer & Quang Nguyen, 2006. "Preferences, Poverty and Politics: Experimental and Survey Data from Vietnam," Levine's Bibliography 321307000000000054, UCLA Department of Economics.
    14. Alexander L. Brown & Hwagyun Kim, 2014. "Do Individuals Have Preferences Used in Macro-Finance Models? An Experimental Investigation," Management Science, INFORMS, vol. 60(4), pages 939-958, April.
    15. Hans-Martin Gaudecker & Arthur Soest & Erik Wengström, 2012. "Experts in experiments," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 159-190, October.
    16. Tomomi Tanaka & Colin F Camerer & Quang Nguyen, 2006. "Poverty, politics, and preferences: Field Experiments and survey data from Vietnam," Levine's Bibliography 122247000000001099, UCLA Department of Economics.
    17. Luke Lindsay, 2013. "The arguments of utility: Preference reversals in expected utility of income models," Journal of Risk and Uncertainty, Springer, vol. 46(2), pages 175-189, April.
    18. Meier, Stephan & Sprenger, Charles D., 2013. "Discounting financial literacy: Time preferences and participation in financial education programs," Journal of Economic Behavior & Organization, Elsevier, vol. 95(C), pages 159-174.
    19. Thomas Epper & Helga Fehr-Duda & Adrian Bruhin, 2011. "Viewing the future through a warped lens: Why uncertainty generates hyperbolic discounting," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 169-203, December.
    20. Carvalho, Leandro S. & Prina, Silvia & Sydnor, Justin, 2016. "The effect of saving on risk attitudes and intertemporal choices," Journal of Development Economics, Elsevier, vol. 120(C), pages 41-52.

    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:jeborg:v:70:y:2009:i:1-2:p:374-388. 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/jebo .

    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.