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Critical illness insurance in life cycle portfolio problems

  • Schendel, Lorenz S.
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    I analyze a critical illness insurance in a consumption-investment model over the life cycle. I solve a model with stochastic mortality risk and health shock risk numerically. These shocks are interpreted as critical illness and can negatively affect the expected remaining lifetime, the health expenses, and the income. In order to hedge the health expense effect of a shock, the agent has the possibility to contract a critical illness insurance. My results highlight that the critical illness insurance is strongly desired by the agents. With an insurance profit of 20%, nearly all agents contract the insurance in the working stage of the life cycle and more than 50% of the agents contract the insurance during retirement. With an insurance profit of 200%, still nearly all working agents contract the insurance, whereas there is little demand in the retirement stage.

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    Paper provided by Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt in its series SAFE Working Paper Series with number 44.

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    Date of creation: 2014
    Date of revision:
    Handle: RePEc:zbw:safewp:44
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Munk, Claus & Sørensen, Carsten, 2010. "Dynamic asset allocation with stochastic income and interest rates," Journal of Financial Economics, Elsevier, vol. 96(3), pages 433-462, June.
    6. 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, 04.
    7. repec:www:resrep:4 is not listed on IDEAS
    8. Pang, Gaobo & Warshawsky, Mark, 2010. "Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 198-209, February.
    9. Ryan D. Edwards, 2010. "Optimal portfolio choice when utility depends on health," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 205-225.
    10. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    11. Thomas Davidoff, 2009. "Housing, Health, and Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(1), pages 31-52.
    12. Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
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