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Health and (other) Asset Holdings

Author

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  • Julien Hugonnier

    (University of Lausanne and Swiss Finance Institute)

  • Florian Pelgrin

    (University of Lausanne and CIRANO)

  • Pascal St-Amour

    (University of Lausanne, Swiss Finance Institute, CIRANO and CIRPEE)

Abstract

The empirical literature on the asset allocation and medical expenditures of U.S. households consistently shows that risky portfolio shares are increasing in both wealth and health whereas health investment shares are decreasing in these same variables. Despite this evidence, most of the existing models treat financial and health-related choices separately. This paper bridges this gap by proposing a tractable framework for the joint determination of optimal consumption, portfolio and health investments. We solve for the optimal rules in closed form and show that the model can theoretically reproduce the empirical facts. Capitalizing on this closed-form solution, we perform a structural estimation of the model on HRS data. Our parameter estimates are reasonable and confirm the relevance of all the main characteristics of the model.

Suggested Citation

  • Julien Hugonnier & Florian Pelgrin & Pascal St-Amour, 2009. "Health and (other) Asset Holdings," Swiss Finance Institute Research Paper Series 09-18, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp0918
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    1. Chang, Fwu-Ranq, 1996. "Uncertainty and investment in health," Journal of Health Economics, Elsevier, vol. 15(3), pages 369-376, June.
    2. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    3. Felder, Stefan & Meier, Markus & Schmitt, Horst, 2000. "Health care expenditure in the last months of life," Journal of Health Economics, Elsevier, vol. 19(5), pages 679-695, September.
    4. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    5. David M. Blau, 2008. "Retirement and Consumption in a Life Cycle Model," Journal of Labor Economics, University of Chicago Press, vol. 26(1), pages 35-71.
    6. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996. "Income Risk, Borrowing Constraints, and Portfolio Choice," American Economic Review, American Economic Association, vol. 86(1), pages 158-172, March.
    7. Yogo, Motohiro, 2016. "Portfolio choice in retirement: Health risk and the demand for annuities, housing, and risky assets," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 17-34.
    8. Leonid Kogan & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    9. Michaud, Pierre-Carl & van Soest, Arthur, 2008. "Health and wealth of elderly couples: Causality tests using dynamic panel data models," Journal of Health Economics, Elsevier, vol. 27(5), pages 1312-1325, September.
    10. 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.
    11. Isaac Ehrlich & Yong Yin, 2005. "Explaining Diversities in Age-Specific Life Expectancies and Values of Life Saving: A Numerical Analysis," Journal of Risk and Uncertainty, Springer, vol. 31(2), pages 129-162, September.
    12. Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-1239, September.
    13. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    14. Peter Zweifel & Stefan Felder & Andreas Werblow, 2004. "Population Ageing and Health Care Expenditure: New Evidence on the “Red Herring”," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 29(4), pages 652-666, October.
    15. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life‐Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, April.
    16. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    17. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    18. David A. Love & Paul A. Smith, 2010. "Does health affect portfolio choice?," Health Economics, John Wiley & Sons, Ltd., vol. 19(12), pages 1441-1460, December.
    19. 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..
    20. Chang, Fwu-Ranq, 2005. "A theory of health investment under competing mortality risks," Journal of Health Economics, Elsevier, vol. 24(3), pages 449-463, May.
    21. Saltari, Enrico & Ticchi, Davide, 2007. "Risk aversion, intertemporal substitution, and the aggregate investment-uncertainty relationship," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 622-648, April.
    22. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
    23. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    24. Rosen, H.S.Harvey S. & Wu, Stephen, 2004. "Portfolio choice and health status," Journal of Financial Economics, Elsevier, vol. 72(3), pages 457-484, June.
    25. Courtney Coile & Kevin Milligan, 2009. "How Household Portfolios Evolve After Retirement: The Effect Of Aging And Health Shocks," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(2), pages 226-248, June.
    26. Gary S. Becker & Tomas J. Philipson & Rodrigo R. Soares, 2005. "The Quantity and Quality of Life and the Evolution of World Inequality," American Economic Review, American Economic Association, vol. 95(1), pages 277-291, March.
    27. Michael D. Hurd & Kathleen McGarry, 1995. "Evaluation of the Subjective Probabilities of Survival in the Health and Retirement Study," Journal of Human Resources, University of Wisconsin Press, vol. 30, pages 268-292.
    28. Michael D. Hurd & Susann Rohwedder, 2003. "The Retirement-Consumption Puzzle Anticipated and Actual Declines in Spending at Retirement," Working Papers DRU-3009, RAND Corporation.
    29. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    30. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    31. Kochar, Anjini, 2004. "Ill-health, savings and portfolio choices in developing economies," Journal of Development Economics, Elsevier, vol. 73(1), pages 257-285, February.
    32. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 395-427.
    33. James P. Smith, 1999. "Healthy Bodies and Thick Wallets: The Dual Relation between Health and Economic Status," Journal of Economic Perspectives, American Economic Association, vol. 13(2), pages 145-166, Spring.
    34. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    35. Engelhardt, Gary V. & Kumar, Anil, 2009. "The elasticity of intertemporal substitution: New evidence from 401(k) participation," Economics Letters, Elsevier, vol. 103(1), pages 15-17, April.
    36. David M. Kreps & Evan L. Porteus, 2013. "Temporal von Neumann—Morgenstern and Induced Preferences," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 11, pages 181-206, World Scientific Publishing Co. Pte. Ltd..
    37. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    38. James M. Poterba, 2001. "Demographic Structure And Asset Returns," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 565-584, November.
    39. Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
    40. Ehrlich, Isaac & Chuma, Hiroyuki, 1990. "A Model of the Demand for Longevity and the Value of Life Extension," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 761-782, August.
    41. Uzawa, H, 1969. "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 628-652, Part II, .
    42. Peter Adams & Michael D. Hurd & Daniel L. McFadden & Angela Merrill & Tiago Ribeiro, 2004. "Healthy, Wealthy, and Wise? Tests for Direct Causal Paths between Health and Socioeconomic Status," NBER Chapters, in: Perspectives on the Economics of Aging, pages 415-526, National Bureau of Economic Research, Inc.
    43. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    44. Beni­tez-Silva, Hugo & Ni, Huan, 2008. "Health status and health dynamics in an empirical model of expected longevity," Journal of Health Economics, Elsevier, vol. 27(3), pages 564-584, May.
    45. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    46. Lee, Chul-In, 2008. "On-the-job human capital investment and intertemporal substitution: New evidence on intertemporal substitution elasticity," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3350-3375, October.
    47. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
    48. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    49. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    50. Meer, Jonathan & Miller, Douglas L. & Rosen, Harvey S., 2003. "Exploring the health-wealth nexus," Journal of Health Economics, Elsevier, vol. 22(5), pages 713-730, September.
    51. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    52. Smith, William T., 1996. "Feasibility and transversality conditions for models of portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 53(2), pages 123-131, November.
    53. Gerdtham, Ulf-G. & Jonsson, Bengt, 2000. "International comparisons of health expenditure: Theory, data and econometric analysis," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 1, pages 11-53, Elsevier.
    54. Michael Hurd & Susann Rohwedder, 2003. "The Retirement-Consumption Puzzle: Anticipated and Actual Declines in Spending at Retirement," NBER Working Papers 9586, National Bureau of Economic Research, Inc.
    55. Fan, Elliott & Zhao, Ruoyun, 2009. "Health status and portfolio choice: Causality or heterogeneity?," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1079-1088, June.
    56. Crossley, Thomas F. & Kennedy, Steven, 2002. "The reliability of self-assessed health status," Journal of Health Economics, Elsevier, vol. 21(4), pages 643-658, July.
    57. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
    58. Berkowitz, Michael K. & Qiu, Jiaping, 2006. "A further look at household portfolio choice and health status," Journal of Banking & Finance, Elsevier, vol. 30(4), pages 1201-1217, April.
    59. Biederman, Daniel K. & Goenner, Cullen F., 2008. "A life-cycle approach to the intertemporal elasticity of substitution," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 481-498, March.
    60. Kogan, Leonid, 2001. "An equilibrium model of irreversible investment," Journal of Financial Economics, Elsevier, vol. 62(2), pages 201-245, November.
    61. Hurd, Michael D, 1987. "Savings of the Elderly and Desired Bequests," American Economic Review, American Economic Association, vol. 77(3), pages 298-312, June.
    62. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
    63. Hakansson, Nils H, 1969. "Optimal Investment and Consumption Strategies under Risk, an Uncertain Lifetime, and Insurance," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 443-466, October.
    64. Donald S. Shepard & Richard J. Zeckhauser, 1984. "Survival versus Consumption," Management Science, INFORMS, vol. 30(4), pages 423-439, April.
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    More about this item

    Keywords

    Portfolio; Health Investment; Mortality Risk.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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