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Explaining Low Annuity Demand: An Optimal Portfolio Application to Japan

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  • Sachi Purcal
  • John Piggott

Abstract

Using an optimizing financial planning model in the tradition of Merton and Richard we explore how individuals should determine their life insurance and annuity choices, given uncertainty about investment returns and mortality. Both consumption and bequests appear as arguments in the individual's preference function. The model explicitly recognizes the existence of social security in retirement, and of loadings on insurance premiums, due to administration costs in the life insurance and annuities markets. The model sheds light on the reasons for the thinness of voluntary life annuity markets worldwide. The relative importance of pre‐existing annuitization through social security, the role of bequests, and premium loadings are quantitatively assessed within a single optimizing framework. Results are presented for a model specification calibrated to Japan.

Suggested Citation

  • Sachi Purcal & John Piggott, 2008. "Explaining Low Annuity Demand: An Optimal Portfolio Application to Japan," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(2), pages 493-516, June.
    • Handle: RePEc:bla:jrinsu:v:75:y:2008:i:2:p:493-516
    DOI: 10.1111/j.1539-6975.2008.00269.x
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    Cited by:

    1. Gao, Jin & Ulm, Eric R., 2015. "Optimal allocation and consumption with guaranteed minimum death benefits, external income and term life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 87-98.
    2. Post, Thomas, 2009. "Individual welfare gains from deferred life-annuities under stochastic Lee-Carter mortality," SFB 649 Discussion Papers 2009-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    3. Schreiber, Philipp & Weber, Martin, 2016. "Time inconsistent preferences and the annuitization decision," Journal of Economic Behavior & Organization, Elsevier, vol. 129(C), pages 37-55.
    4. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
    5. Wang, Ting & Young, Virginia R., 2012. "Optimal commutable annuities to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 200-216.
    6. Lambregts, Timo R. & Schut, Frederik T., 2020. "Displaced, disliked and misunderstood: A systematic review of the reasons for low uptake of long-term care insurance and life annuities," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    7. Kim Changki & Jung Seungyoung & Kim Eyunghee, 2014. "Farmland-based Reverse Mortgages for Aged Farmers," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 8(2), pages 229-257, July.
    8. Azegami Hideto, 2015. "Do the Over-the-Counter Sales at Banks Expand the Individual Annuity Market in Japan?," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 9(1), pages 47-76, January.
    9. Hanewald, Katja & Piggott, John & Sherris, Michael, 2013. "Individual post-retirement longevity risk management under systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 87-97.
    10. Maria Alexandrova & Nadine Gatzert, 2019. "What Do We Know About Annuitization Decisions?," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(1), pages 57-100, March.
    11. Piggott John R. & Sane Renuka, 2012. "Demographic Shift and Financial Markets in APEC: New Age Solutions to Age Old Challenges," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(1), pages 1-28, February.
    12. Maathumai Nirmalendran & Michael Sherris & Katja Hanewald, 2012. "Solvency Capital, Pricing and Capitalization Strategies of Life Annuity Providers," Working Papers 201213, ARC Centre of Excellence in Population Ageing Research (CEPAR), Australian School of Business, University of New South Wales.
    13. Vaz, Thalita A. & Machado, Sérgio J. & Bortoluzzo, Adriana B., 2011. "Estimation of Conversion Rates into Annuities: A Brazilian Perspective," Insper Working Papers wpe_249, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    14. Aparna Gupta & Zhisheng Li, 2013. "Optimal Annuity Purchase Decisions Under Uncertain Lifetime," Journal of Family and Economic Issues, Springer, vol. 34(4), pages 447-459, December.
    15. repec:hum:wpaper:sfb649dp2009-022 is not listed on IDEAS
    16. Siqi Tang & Sachi Purcal & Jinhui Zhang, 2018. "Life Insurance and Annuity Demand under Hyperbolic Discounting," Risks, MDPI, vol. 6(2), pages 1-10, April.
    17. Zhang, Jinhui & Purcal, Sachi & Wei, Jiaqin, 2021. "Optimal life insurance and annuity demand under hyperbolic discounting when bequests are luxury goods," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 80-90.
    18. Mohamad Hassan Abou Daya & Carole Bernard, 2022. "What matters in the annuitization decision?," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 158(1), pages 1-12, December.

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