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Estimating Risk Preferences from Deductible Choice

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  • Alma Cohen

    ()
    (Harvard Law School)

  • Liran Einav

    ()
    (Stanford University)

Abstract

We use a large data set of deductible choices in auto insurance contracts to estimate the distribution of risk preferences in our sample. To do so, we develop a structural econometric model, which accounts for adverse selection by allowing for unobserved heterogeneity in both risk (probability of an accident) and risk aversion. Ex-post claim information separately identifies the marginal distribution of risk, while the joint distribution of risk and risk aversion is identified by the deductible choice. We find that individuals in our sample have on average an estimated absolute risk aversion which is higher than other estimates found in the literature. Using annual income as a measure of wealth, we find an average two-digit coefficient of relative risk aversion. We also find that women tend to be more risk averse than men, that proxies for income and wealth are positively related to absolute risk aversion, that unobserved heterogeneity in risk preferences is higher relative to that of risk, and that unobserved risk is positively correlated with unobserved risk aversion. Finally, we use our results for counterfactual exercises that assess the profitability of insurance contracts under various assumptions.

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Bibliographic Info

Paper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 04-031.

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Date of creation: Jun 2005
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Handle: RePEc:sip:dpaper:04-031

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Keywords: risk aversion; adverse selection; structural estimation; mixture models;

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  1. 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 821-48, October.
  2. Dionne, Georges & Doherty, Neil A, 1994. "Adverse Selection, Commitment, and Renegotiation: Extension to and Evidence from Insurance Markets," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 209-35, April.
  3. 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.
  4. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  5. J. David Cummins & Jack VanDerhei, 1979. "A Note on the Relative Efficiency of Property-Liability Insurance Distribution Systems," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 709-719, Autumn.
  6. Auld, M Christopher, et al, 2001. "The Efficacy of Construction Site Safety Inspections," Journal of Labor Economics, University of Chicago Press, vol. 19(4), pages 900-921, October.
  7. Bruno Jullien & Bernard Salanié, 1997. "Estimating Preferences under Risk : The Case of Racetrack Bettors," Working Papers 97-39, Centre de Recherche en Economie et Statistique.
  8. Kocherlakota, N., 1995. "The Equity Premium: It's Still a Puzzle," Working Papers 95-05, University of Iowa, Department of Economics.
  9. Pierre-Andre Chiappori & Bernard Salanie, 2000. "Testing for Asymmetric Information in Insurance Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 56-78, February.
  10. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 277-311.
  11. Matthew Rabin & Richard H. Thaler, 2001. "Anomalies: Risk Aversion," Journal of Economic Perspectives, American Economic Association, vol. 15(1), pages 219-232, Winter.
  12. Gertner, Robert, 1993. "Game Shows and Economic Behavior: Risk-Taking on "Card Sharks."," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 507-21, May.
  13. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-67, March.
  14. Michael Landsberger & Isaac Meilijson, 1999. "A general model of insurance under adverse selection," Economic Theory, Springer, vol. 14(2), pages 331-352.
  15. Dionne, G. & Lasserre, P., 1984. "Adverse Selection, Repeated Insurance Contracts and Announcement Strategy," Cahiers de recherche 8445, Universite de Montreal, Departement de sciences economiques.
  16. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
  17. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-94, October.
  18. De Meza, D. & Webb, D.C., 2000. "Advantageous Selection in Insurance Market," Discussion Papers 0007, Exeter University, Department of Economics.
  19. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  20. Alma Cohen & Liran Einav, 2003. "The Effects of Mandatory Seat Belt Laws on Driving Behavior and Traffic Fatalities," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 828-843, November.
  21. Igal Hendel & Alessandro Lizzeri, 2000. "The Role of Commitment in Dynamic Contracts: Evidence from Life Insurance," NBER Working Papers 7470, National Bureau of Economic Research, Inc.
  22. Richard J. Arnott & Joseph E. Stiglitz, 1988. "Randomization with Asymmetric Information," NBER Working Papers 2507, National Bureau of Economic Research, Inc.
  23. Kachelmeier, Steven J & Shehata, Mohamed, 1992. "Examining Risk Preferences under High Monetary Incentives: Experimental Evidence from the People's Republic of China," American Economic Review, American Economic Association, vol. 82(5), pages 1120-41, December.
  24. Dionne, G. & Vanasse, C., 1988. "Automobile Insurance Ratemaking in the Presence of Asymmetric Information," Cahiers de recherche 8834, Universite de Montreal, Departement de sciences economiques.
  25. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
  26. Metrick, Andrew, 1995. "A Natural Experiment in "Jeopardy!"," American Economic Review, American Economic Association, vol. 85(1), pages 240-53, March.
  27. Cooper, Russell & Hayes, Beth, 1987. "Multi-period insurance contracts," International Journal of Industrial Organization, Elsevier, vol. 5(2), pages 211-231.
  28. Amy Finkelstein & James Poterba, 2000. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," NBER Working Papers 8045, National Bureau of Economic Research, Inc.
  29. Alma Cohen, 2005. "Asymmetric Information and Learning: Evidence from the Automobile Insurance Market," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 197-207, May.
  30. P. Damlen & J. Wakefield & S. Walker, 1999. "Gibbs sampling for Bayesian non-conjugate and hierarchical models by using auxiliary variables," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(2), pages 331-344.
  31. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  32. Michael Smart, 1996. "Competitive Insurance Markets with Two Unobservables," Working Papers msmart-96-01, University of Toronto, Department of Economics.
  33. Saha, Atanu, 1997. "Risk Preference Estimation in the Nonlinear Mean Standard Deviation Approach," Economic Inquiry, Western Economic Association International, vol. 35(4), pages 770-82, October.
  34. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December.
  35. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
  36. Armstrong, Mark, 1999. "Optimal Regulation with Unknown Demand and Cost Functions," Journal of Economic Theory, Elsevier, vol. 84(2), pages 196-215, February.
  37. Viscusi, W Kip & Evans, William N, 1990. "Utility Functions That Depend on Health Status: Estimates and Economic Implications," American Economic Review, American Economic Association, vol. 80(3), pages 353-74, June.
  38. Pierre-André Chiappori & Bruno Jullien & Bernard Salanié & François Salanié, 2002. "Asymmetric Information in Insurance : General Testable Implications," Working Papers 2002-42, Centre de Recherche en Economie et Statistique.
  39. Bertrand VILLENEUVE, 2003. "Concurrence et antisélection multidimensionnelle en assurance," Annales d'Economie et de Statistique, ENSAE, issue 69, pages 119-142.
  40. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November.
  41. Jullien, Bruno & Salanié, Bernard & Salanié, François, 2001. "Screening Risk Averse Agents Under Moral Hazard," CEPR Discussion Papers 3076, C.E.P.R. Discussion Papers.
  42. Steffen Andersen & Glenn Harrison & Morten Lau & Elisabet Rustrom, 2004. "Preference heterogeneity in experiments: Comparing the field and lab," Artefactual Field Experiments 00004, The Field Experiments Website.
  43. Cicchetti, Charles J & Dubin, Jeffrey A, 1994. "A Microeconometric Analysis of Risk Aversion and the Decision to Self-Insure," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 169-86, February.
  44. Cardon, James H & Hendel, Igal, 2001. "Asymmetric Information in Health Insurance: Evidence from the National Medical Expenditure Survey," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 408-27, Autumn.
  45. Hartog, Joop & Ferrer-i-Carbonell, Ada & Jonker, Nicole, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
  46. 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 165-95, March.
  47. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  48. Smith, Vernon L & Walker, James M, 1993. "Rewards, Experience and Decision Costs in First Price Auctions," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 237-45, April.
  49. D'Arcy, Stephen P & Doherty, Neil A, 1990. "Adverse Selection, Private Information, and Lowballing in Insurance Markets," The Journal of Business, University of Chicago Press, vol. 63(2), pages 145-64, April.
  50. Evans, William N & Viscusi, W Kip, 1991. "Estimation of State-Dependent Utility Functions Using Survey Data," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 94-104, February.
  51. Kunreuther, Howard & Pauly, Mark, 1985. "Market equilibrium with private knowledge : An insurance example," Journal of Public Economics, Elsevier, vol. 26(3), pages 269-288, April.
  52. J. H. Abbring & P.-A. Chiappori & J. J. Heckman & J. Pinquet, 2002. "Testing for Moral Hazard on Dynamic Insurance Data," THEMA Working Papers 2002-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  53. Richard Watt, 2002. "Defending Expected Utility Theory: Comment," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 227-229, Spring.
  54. Barsky, Robert B, et al, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 537-79, May.
  55. Puelz, Robert & Snow, Arthur, 1994. "Evidence on Adverse Selection: Equilibrium Signaling and Cross-Subsidization in the Insurance Market," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 236-57, April.
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