IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v300y2022i2p727-742.html
   My bibliography  Save this article

Optimal decision of dynamic wealth allocation with life insurance for mitigating health risk under market incompleteness

Author

Listed:
  • Chen, Chang-Chih
  • Chang, Chia-Chien
  • Sun, Edward W.
  • Yu, Min-Teh

Abstract

This research proposes a dynamic control modeling of income allocation between life insurance purchase and consumption subject to market incompleteness. We adopt a no-good-deal specification of the multiplicity of stochastic discount factors, and treat death as a stopping time on the individual’s health status. Health status non-tradability renders death risk non-hedgeable and the life insurance market incomplete. The no-good-deal condition provides useful guidance for individuals to choose the insurance-income ratio inside good-deal bounds. The magnitude of the influence of market incompleteness on life insurance demand (measured as the width of good-deal bounds) displays life-cycle patterns that converge over time and are highly sensitive to health status characteristics.

Suggested Citation

  • Chen, Chang-Chih & Chang, Chia-Chien & Sun, Edward W. & Yu, Min-Teh, 2022. "Optimal decision of dynamic wealth allocation with life insurance for mitigating health risk under market incompleteness," European Journal of Operational Research, Elsevier, vol. 300(2), pages 727-742.
    • Handle: RePEc:eee:ejores:v:300:y:2022:i:2:p:727-742
    DOI: 10.1016/j.ejor.2021.10.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221721008614
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2021.10.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ralph S.J. Koijen & Stijn Nieuwerburgh & Motohiro Yogo, 2016. "Health and Mortality Delta: Assessing the Welfare Cost of Household Insurance Choice," Journal of Finance, American Finance Association, vol. 71(2), pages 957-1010, April.
    2. Hui Chen & Jianjun Miao & Neng Wang, 2010. "Entrepreneurial Finance and Nondiversifiable Risk," The Review of Financial Studies, Society for Financial Studies, vol. 23(12), pages 4348-4388, December.
    3. Chen, Zhanhui & Yang, Bowen, 2019. "In search of preference shock risks: Evidence from longevity risks and momentum profits," Journal of Financial Economics, Elsevier, vol. 133(1), pages 225-249.
    4. George W. Torrance, 1976. "Health Status Index Models: A Unified Mathematical View," Management Science, INFORMS, vol. 22(9), pages 990-1001, May.
    5. Baione, Fabio & Levantesi, Susanna, 2014. "A health insurance pricing model based on prevalence rates: Application to critical illness insurance," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 174-184.
    6. 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.
    7. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    8. Ban, Mingyuan & Chen, Chang-Chih, 2019. "Ambiguity and capital structure adjustments," International Review of Economics & Finance, Elsevier, vol. 64(C), pages 242-270.
    9. Pelgrin, Florian & St-Amour, Pascal, 2016. "Life cycle responses to health insurance status," Journal of Health Economics, Elsevier, vol. 49(C), pages 76-96.
    10. Sauter, Nicolas & Walliser, Jan & Winter, Joachim, 2015. "Tax incentives, bequest motives, and the demand for life insurance: evidence from a natural experiment in Germany," Journal of Pension Economics and Finance, Cambridge University Press, vol. 14(4), pages 525-553, October.
    11. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    12. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    13. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    14. Mao‐Wei Hung & Yu‐Hong Liu, 2005. "Pricing vulnerable options in incomplete markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(2), pages 135-170, February.
    15. Asimit, Alexandru V. & Bignozzi, Valeria & Cheung, Ka Chun & Hu, Junlei & Kim, Eun-Seok, 2017. "Robust and Pareto optimality of insurance contracts," European Journal of Operational Research, Elsevier, vol. 262(2), pages 720-732.
    16. Chen, An & Hieber, Peter & Nguyen, Thai, 2019. "Constrained non-concave utility maximization: An application to life insurance contracts with guarantees," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1119-1135.
    17. Deelstra, Griselda & Devolder, Pierre & Gnameho, Kossi & Hieber, Peter, 2020. "Valuation of hybrid financial and actuarial products in life insurance by a novel three-step method," LIDAM Reprints ISBA 2020020, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    18. Pirvu, Traian A. & Zhang, Huayue, 2012. "Optimal investment, consumption and life insurance under mean-reverting returns: The complete market solution," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 303-309.
    19. Braun, Alexander & Schmeiser, Hato & Schreiber, Florian, 2016. "On consumer preferences and the willingness to pay for term life insurance," European Journal of Operational Research, Elsevier, vol. 253(3), pages 761-776.
    20. 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.
    21. Hui Chen, 2010. "Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure," Journal of Finance, American Finance Association, vol. 65(6), pages 2171-2212, December.
    22. Andersen, R., 1978. "Health status indices and access to medical care," American Journal of Public Health, American Public Health Association, vol. 68(5), pages 458-463.
    23. 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.
    24. Schaper, Philipp, 2017. "Under pressure: how the business environment affects productivity and efficiency of European life insurance companiesAuthor-Name: Eling, Martin," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1082-1094.
    25. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    26. Huaxiong Huang & Moshe A. Milevsky & Jin Wang, 2008. "Portfolio Choice and Life Insurance: The CRRA Case," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 847-872, December.
    27. Watt, Richard & Vázquez, Francisco J., 2017. "An analysis of insurance demand in the newsboy problem," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1064-1072.
    28. Dirk Becherer & Klebert Kentia, 2017. "Hedging under generalized good-deal bounds and model uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 171-214, August.
    29. 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.
    30. Wong, Tat Wing & Fung, Ka Wai Terence & Leung, Kwai Sun, 2020. "Strategic bank closure and deposit insurance valuation," European Journal of Operational Research, Elsevier, vol. 285(1), pages 96-105.
    31. Vaithianathan, Rhema, 2006. "Health insurance and imperfect competition in the health care market," Journal of Health Economics, Elsevier, vol. 25(6), pages 1193-1202, November.
    32. Tomas Björk & Irina Slinko, 2006. "Towards a General Theory of Good-Deal Bounds," Review of Finance, European Finance Association, vol. 10(2), pages 221-260.
    33. Lewis, Frank D, 1989. "Dependents and the Demand for Life Insurance," American Economic Review, American Economic Association, vol. 79(3), pages 452-467, June.
    34. Dirk Becherer & Klebert Kentia, 2016. "Hedging under generalized good-deal bounds and model uncertainty," Papers 1607.04488, arXiv.org, revised Apr 2017.
    35. Ralph S J Koijen & Stijn Van Nieuwerburgh, 2020. "Combining Life and Health Insurance [“Market Size in Innovation: Theory and Evidence from the Pharmaceutical Industry”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 913-958.
    36. Carr, Peter & Geman, Helyette & Madan, Dilip B., 2001. "Pricing and hedging in incomplete markets," Journal of Financial Economics, Elsevier, vol. 62(1), pages 131-167, October.
    37. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    38. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    39. S. Fanshel & J. W. Bush, 1970. "A Health-Status Index and its Application to Health-Services Outcomes," Operations Research, INFORMS, vol. 18(6), pages 1021-1066, December.
    40. Cordeiro, Isabel Maria Ferraz, 2002. "A multiple state model for the analysis of permanent health insurance claims by cause of disability," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 167-186, April.
    41. Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    42. Jensen, N.R. & Steffensen, M., 2015. "Personal finance and life insurance under separation of risk aversion and elasticity of substitution," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 28-41.
    43. Christoph Hambel & Holger Kraft & Lorenz S. Schendel & Mogens Steffensen, 2017. "Life Insurance Demand Under Health Shock Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1171-1202, December.
    44. Pliska, Stanley R. & Ye, Jinchun, 2007. "Optimal life insurance purchase and consumption/investment under uncertain lifetime," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1307-1319, May.
    45. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    46. 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.
    47. Nicolas Sauter, 2014. "Bequest Motives and the Demand for Life Insurance in East Germany," German Economic Review, Verein für Socialpolitik, vol. 15(2), pages 272-286, May.
    48. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2020. "Putting the pension back in 401(k) retirement plans: Optimal versus default deferred longevity income annuities," Journal of Banking & Finance, Elsevier, vol. 114(C).
    49. 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.
    50. Biener, Christian & Eling, Martin & Wirfs, Jan Hendrik, 2016. "The determinants of efficiency and productivity in the Swiss insurance industry," European Journal of Operational Research, Elsevier, vol. 248(2), pages 703-714.
    51. Deelstra, Griselda & Devolder, Pierre & Gnameho, Kossi & Hieber, Peter, 2020. "Valuation Of Hybrid Financial And Actuarial Products In Life Insurance By A Novel Three-Step Method," ASTIN Bulletin, Cambridge University Press, vol. 50(3), pages 709-742, September.
    52. Ashok Bardhan & Raša Karapandža & Branko Urošević, 2006. "Valuing Mortgage Insurance Contracts in Emerging Market Economies," The Journal of Real Estate Finance and Economics, Springer, vol. 32(1), pages 9-20, February.
    53. Huang, Wei & Eling, Martin, 2013. "An efficiency comparison of the non-life insurance industry in the BRIC countries," European Journal of Operational Research, Elsevier, vol. 226(3), pages 577-591.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chang-Chih Chen & Kung-Cheng Ho & Hui-Min Li & Min-Teh Yu, 2023. "Impact of information disclosure ratings on investment efficiency: evidence from China," Review of Quantitative Finance and Accounting, Springer, vol. 60(2), pages 471-500, February.
    2. Xiaobai Zhu & Kenneth Q. Zhou & Zijia Wang, 2024. "A new paradigm of mortality modeling via individual vitality dynamics," Papers 2407.15388, arXiv.org, revised Oct 2024.
    3. Barucci, Emilio & Biffis, Enrico & Marazzina, Daniele, 2023. "Health insurance, portfolio choice, and retirement incentives," European Journal of Operational Research, Elsevier, vol. 307(2), pages 910-921.
    4. Chen, An & Ferrari, Giorgio & Zhu, Shihao, 2023. "Striking the Balance: Life Insurance Timing and Asset Allocation in Financial Planning," Center for Mathematical Economics Working Papers 684, Center for Mathematical Economics, Bielefeld University.
    5. An Chen & Giorgio Ferrari & Shihao Zhu, 2023. "Striking the Balance: Life Insurance Timing and Asset Allocation in Financial Planning," Papers 2312.02943, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Shumin & Luo, Dan & Yao, Haixiang, 2024. "Optimal investor life cycle decisions with time-inconsistent preferences," Journal of Banking & Finance, Elsevier, vol. 161(C).
    2. 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.
    3. Wei, Jiaqin & Cheng, Xiang & Jin, Zhuo & Wang, Hao, 2020. "Optimal consumption–investment and life-insurance purchase strategy for couples with correlated lifetimes," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 244-256.
    4. Ban, Mingyuan & Chen, Chang-Chih, 2019. "Ambiguity and capital structure adjustments," International Review of Economics & Finance, Elsevier, vol. 64(C), pages 242-270.
    5. Chen, Chang-Chih & Ho, Kung-Cheng & Yan, Cheng & Yeh, Chung-Ying & Yu, Min-Teh, 2023. "Does ambiguity matter for corporate debt financing? Theory and evidence," Journal of Corporate Finance, Elsevier, vol. 80(C).
    6. Peng, Xingchun & Li, Baihui, 2023. "Optimal investment, consumption and life insurance purchase with learning about return predictability," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 70-95.
    7. 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.
    8. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Leibniz Institute for Financial Research SAFE.
    9. Park, Kyunghyun & Wong, Hoi Ying & Yan, Tingjin, 2023. "Robust retirement and life insurance with inflation risk and model ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 110(C), pages 1-30.
    10. Srbinoski Bojan & Strozzi Fernanda & Poposki Klime & Born Patricia H., 2020. "Trends in Life Insurance Demand and Lapse Literature," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(2), pages 1-46, July.
    11. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Leibniz Institute for Financial Research SAFE.
    12. Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    13. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016, January-A.
    14. Jiang Cheng & Lu Yu, 2019. "Life and health insurance consumption in China: demographic and environmental risks," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(1), pages 67-101, January.
    15. Christoph Hambel & Holger Kraft & Lorenz S. Schendel & Mogens Steffensen, 2017. "Life Insurance Demand Under Health Shock Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1171-1202, December.
    16. Chen, An & Hentschel, Felix & Klein, Jakob K., 2015. "A utility- and CPT-based comparison of life insurance contracts with guarantees," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 327-339.
    17. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 32, July-Dece.
    18. Lee, Hangsuck & Ryu, Doojin & Son, Jihoon, 2022. "Insurance-adjusted valuation, decision making, and capital return," International Review of Financial Analysis, Elsevier, vol. 84(C).
    19. Rui Jiao & Wei Liu & Yijun Hu, 2023. "The Optimal Consumption, Investment and Life Insurance for Wage Earners under Inside Information and Inflation," Mathematics, MDPI, vol. 11(15), pages 1-18, August.
    20. Pliska, Stanley R. & Ye, Jinchun, 2007. "Optimal life insurance purchase and consumption/investment under uncertain lifetime," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1307-1319, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:300:y:2022:i:2:p:727-742. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.