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Portfolio choice and mortality-contingent claims: The general HARA case

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  • Huang, Huaxiong
  • Milevsky, Moshe A.
Abstract
We solve a portfolio choice problem that includes mortality-contingent claims and labor income under general HARA preferences. Our contribution beyond existing literature is to (i) focus on the covariance between shocks to human capital and financial capital, to (ii) model the utility of a family with basic needs and (iii) include life insurance and pension annuity claims in one unified life-cycle model. Our solution employs a "similarity reduction" mapping which reduces the two-dimensional HJB equation into one dimension. This allows for the implementation of a quick numerical scheme. And, when shocks to human capital and financial capital are perfectly correlated, a closed-form expression is obtained as a special case.

Suggested Citation

  • Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.
    • Handle: RePEc:eee:jbfina:v:32:y:2008:i:11:p:2444-2452
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    References listed on IDEAS

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    1. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65, January.
    2. 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.
    3. 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.
    4. Fama, Eugene F. & Schwert, G. William, 1977. "Human capital and capital market equilibrium," Journal of Financial Economics, Elsevier, vol. 4(1), pages 95-125, January.
    5. Fischer, Stanley, 1973. "A Life Cycle Model of Life Insurance Purchases," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(1), pages 132-152, February.
    6. David F. Babbel and Eisaku Ohtsuka., 1985. "Aspects of Optimal Multiperiod Life Insurance," Research Program in Finance Working Papers 156, University of California at Berkeley.
    7. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    8. Campbell, Ritchie A, 1980. "The Demand for Life Insurance: An Application of the Economics of Uncertainty," Journal of Finance, American Finance Association, vol. 35(5), pages 1155-1172, December.
    9. Jérôme B. Detemple & Ren Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, February.
    10. Emily Norman Zietz, 2003. "An Examination of the Demand for Life Insurance," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 6(2), pages 159-191, September.
    11. 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.
    12. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, June.
    13. Luis M. Viceira, 2001. "Optimal Portfolio Choice for Long‐Horizon Investors with Nontradable Labor Income," Journal of Finance, American Finance Association, vol. 56(2), pages 433-470, April.
    14. 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.
    15. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    16. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    17. Buser, Stephen A. & Smith, Michael L., 1983. "Life insurance in a portfolio context," Insurance: Mathematics and Economics, Elsevier, vol. 2(3), pages 147-157, July.
    18. Lewis, Frank D, 1989. "Dependents and the Demand for Life Insurance," American Economic Review, American Economic Association, vol. 79(3), pages 452-467, June.
    19. Sundaresan, Suresh & Zapatero, Fernando, 1997. "Valuation, Optimal Asset Allocation and Retirement Incentives of Pension Plans," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 631-660.
    20. 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.
    21. Detemple, Jérôme & Garcia, René & Rindisbacher, Marcel, 2005. "Intertemporal asset allocation: A comparison of methods," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2821-2848, November.
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