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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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    Cited by:

    1. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2015. "Optimal life cycle portfolio choice with variable annuities offering liquidity and investment downside protection," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 91-107.
    2. Muck, Matthias, 2010. "Trading strategies with partial access to the derivatives market," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1288-1298, June.
    3. Jarner, Søren Fiig & Kronborg, Morten Tolver, 2016. "Entrance times of random walks: With applications to pension fund modeling," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 1-20.
    4. repec:eee:insuma:v:76:y:2017:i:c:p:75-86 is not listed on IDEAS
    5. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    6. Kwak, Minsuk & Shin, Yong Hyun & Choi, U Jin, 2011. "Optimal investment and consumption decision of a family with life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 176-188, March.
    7. Sutcliffe, Charles, 2015. "Trading death: The implications of annuity replication for the annuity puzzle, arbitrage, speculation and portfolios," International Review of Financial Analysis, Elsevier, vol. 38(C), pages 163-174.
    8. Guambe, Calisto & Kufakunesu, Rodwell, 2015. "A note on optimal investment–consumption–insurance in a Lévy market," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 30-36.
    9. Shi, Xiaojun & Wang, Hung-Jen & Xing, Chunbing, 2015. "The role of life insurance in an emerging economy: Human capital protection, assets allocation and social interaction," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 19-33.
    10. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    11. Hiraguchi, Ryoji, 2009. "Non-concavity problems in the dynamic macroeconomic models: A note," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 568-572, March.
    12. Lim, Byung Hwa & Kwak, Minsuk, 2016. "Bequest motive and incentive to retire: Consumption, investment, retirement, and life insurance strategies," Finance Research Letters, Elsevier, vol. 16(C), pages 19-27.
    13. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT Institute for Advanced Studies Lucca, revised May 2015.
    14. Erhan Bayraktar & Virginia R. Young, 2012. "Life Insurance Purchasing to Maximize Utility of Household Consumption," Papers 1205.5958, arXiv.org, revised Jun 2013.
    15. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.
    16. Kwak, Minsuk & Lim, Byung Hwa, 2014. "Optimal portfolio selection with life insurance under inflation risk," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 59-71.
    17. Han, Nan-Wei & Hung, Mao-Wei, 2017. "Optimal consumption, portfolio, and life insurance policies under interest rate and inflation risks," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 54-67.

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