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Optimal Health and Longevity Insurance

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  • Stijn Van Nieuwerburgh

    (New York University)

  • Motohiro Yogo

    (University of Pennsylvania)

  • Ralph S.J. Koijen

    (University of Chicago)

Abstract

We derive the optimal portfolio of longevity products during the retirement phase. The household’s health state moves stochastically and the longevity products are priced consistent with equilibrium in the insurance market. The household has recursive preferences, which allows us to study the optimal cross-sectional and time-series allocation of risk. We show how our results modify in the presence of government social security, a market for health insurance, a market for life insurance if the household has a motive or bequest, and macroeconomic (systematic) longevity risk.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2009 Meeting Papers with number 185.

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Date of creation: 2009
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Handle: RePEc:red:sed009:185

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Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
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References

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  1. 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.
  2. Bernheim, B Douglas, 1991. "How Strong Are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 899-927, October.
  3. Jeffrey R. Brown & Amy Finkelstein, 2008. "The Interaction of Public and Private Insurance: Medicaid and the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 98(3), pages 1083-1102, June.
  4. Hanming Fang & Edward Kung, 2012. "Why Do Life Insurance Policyholders Lapse? The Roles of Income, Health and Bequest Motive Shocks," NBER Working Papers 17899, National Bureau of Economic Research, Inc.
  5. M. Kate Bundorf & Jonathan Levin & Neale Mahoney, 2012. "Pricing and Welfare in Health Plan Choice," American Economic Review, American Economic Association, vol. 102(7), pages 3214-48, December.
  6. John Cawley & Tomas Philipson, 1997. "An Empirical Examination of Information Barriers to Trade inInsurance," University of Chicago - George G. Stigler Center for Study of Economy and State 132, Chicago - Center for Study of Economy and State.
  7. Motohiro Yogo, 2009. "Portfolio Choice in Retirement: Health Risk and the Demand for Annuities, Housing and Risky Assets," Working Papers, Center for Retirement Research at Boston College wp2009-3, Center for Retirement Research, revised Jan 2009.
  8. Calvet, Laurent E. & Campbell, John Y. & Sodini, Paolo, 2006. "Down or Out: Assessing The Welfare Costs of Household Investment Mistakes," Working Paper Series 195, Sveriges Riksbank (Central Bank of Sweden).
  9. 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.
  10. John Laitner & F. Thomas Juster, 1993. "New evidence on altruism: a study of TIAA-CREF retirees," Discussion Paper / Institute for Empirical Macroeconomics 86, Federal Reserve Bank of Minneapolis.
  11. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 197-239.
  12. Hanming Fang & Michael P. Keane & Dan Silverman, 2008. "Sources of Advantageous Selection: Evidence from the Medigap Insurance Market," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 303-350, 04.
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  15. Mariacristina De Nardi & Eric French & John Bailey Jones, 2009. "Why do the Elderly Save? The Role of Medical Expenses," NBER Working Papers 15149, National Bureau of Economic Research, Inc.
  16. Julien Hugonnier & Florian Pelgrin, 2013. "Health and (Other) Asset Holdings," Review of Economic Studies, Oxford University Press, vol. 80(2), pages 663-710.
  17. Joao F. Cocco, 2005. "Portfolio Choice in the Presence of Housing," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 535-567.
  18. Motohiro Yogo & Ralph Koijen, 2012. "The Cost of Financial Frictions for Life Insurers," 2012 Meeting Papers 83, Society for Economic Dynamics.
  19. Amy Finkelstein & Erzo F. P. Luttmer & Matthew J. Notowidigdo, 2013. "What Good Is Wealth Without Health? The Effect Of Health On The Marginal Utility Of Consumption," Journal of the European Economic Association, European Economic Association, vol. 11, pages 221-258, 01.
  20. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
  21. de Meza, David & Webb, David C, 2001. "Advantageous Selection in Insurance Markets," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 249-62, Summer.
  22. John H. Cochrane, 1988. "The Sensitivity of Tests of the Intertemporal Allocation of Consumption to Near-Rational Alternatives," NBER Working Papers 2730, National Bureau of Economic Research, Inc.
  23. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2011. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Public Care Aversion from Bequest Motives," Journal of Finance, American Finance Association, vol. 66(2), pages 519-561, 04.
  24. Alexander Michaelides & Joachim Inkmann, 2011. "Can the Life Insurance Market Provide Evidence for a Bequest Motive?," 2011 Meeting Papers 108, Society for Economic Dynamics.
  25. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2007. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Bequest and Precautionary Motives," NBER Working Papers 13105, National Bureau of Economic Research, Inc.
  26. Picone, Gabriel & Uribe, Martin & Mark Wilson, R., 1998. "The effect of uncertainty on the demand for medical care, health capital and wealth," Journal of Health Economics, Elsevier, vol. 17(2), pages 171-185, April.
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Cited by:
  1. Ralph S.J. Koijen & Motohiro Yogo, 2013. "Shadow Insurance," NBER Working Papers 19568, National Bureau of Economic Research, Inc.
  2. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.

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