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Individual post-retirement longevity risk management under systematic mortality risk

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  • Hanewald, Katja
  • Piggott, John
  • Sherris, Michael

Abstract

This paper analyzes an individual’s post-retirement longevity risk management strategy allowing for systematic longevity risk, recent product innovations, and product loadings. A complete-markets discrete state model and multi-period simulations of portfolio strategies are used to assess individual longevity insurance product portfolios with different levels of systematic and idiosyncratic longevity risk. Portfolios include: fixed life annuities, deferred annuities, inflation-indexed annuities, phased withdrawals and recently proposed group self-annuitization (GSA) plans. GSA plans are found to replace even inflation-indexed annuity products when there are loadings on guaranteed life annuity products. With a bequest motive and loadings, coinsurance portfolio strategies with phased withdrawals and GSA’s dominate portfolios with life annuities or deferred annuities.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:insuma:v:52:y:2013:i:1:p:87-97
    DOI: 10.1016/j.insmatheco.2012.11.002
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    References listed on IDEAS

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    1. John Piggott & Emiliano A. Valdez & Bettina Detzel, 2005. "The Simple Analytics of a Pooled Annuity Fund," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(3), pages 497-520, September.
    2. repec:bla:ausecr:v:37:y:2004:i:4:p:402-416 is not listed on IDEAS
    3. Valdez, Emiliano A. & Piggott, John & Wang, Liang, 2006. "Demand and adverse selection in a pooled annuity fund," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 251-266, October.
    4. Ngai, Andrew & Sherris, Michael, 2011. "Longevity risk management for life and variable annuities: The effectiveness of static hedging using longevity bonds and derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 100-114, July.
    5. Post Thomas, 2012. "Individual Welfare Gains from Deferred Life-Annuities under Stochastic Mortality," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(2), pages 1-26, June.
    6. 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.
    7. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    8. Rocha, Roberto & Vittas, Dimitri & Rudolph, Heinz P., 2010. "The payout phase of pension systems : a comparison of five countries," Policy Research Working Paper Series 5288, The World Bank.
    9. Rocha, Roberto & Vittas, Dimitri, 2010. "Designing the payout Phase of pension systems : policy issues, constraints and options," Policy Research Working Paper Series 5289, The World Bank.
    10. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    11. 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.
    12. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013. "Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, September.
    13. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    14. 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.
    15. 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.
    16. Wills, Samuel & Sherris, Michael, 2010. "Securitization, structuring and pricing of longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 173-185, February.
    17. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
    18. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    19. Roman N. Schulze & Thomas Post, 2010. "Individual Annuity Demand Under Aggregate Mortality Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 423-449, June.
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    Cited by:

    1. Shao, Adam W. & Hanewald, Katja & Sherris, Michael, 2015. "Reverse mortgage pricing and risk analysis allowing for idiosyncratic house price risk and longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 76-90.
    2. Tsai, Pei-Hsuan & Wang, Ying-Wei & Chang, Wen-Chang, 2023. "Hybrid MADM-based study of key risk factors in house-for-pension reverse mortgage lending in Taiwan's banking industry," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
    3. Bravo, Jorge Miguel & El Mekkaoui de Freitas, Najat, 2018. "Valuation of longevity-linked life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 212-229.
    4. Bégin, Jean-François & Sanders, Barbara, 2024. "Benefit volatility-targeting strategies in lifetime pension pools," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 72-94.
    5. 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).
    6. Chen, Wen & Minney, Aaron & Toscas, Peter & Koo, Bonsoo & Zhu, Zili & Pantelous, Athanasios A., 2021. "Personalised drawdown strategies and partial annuitisation to mitigate longevity risk," Finance Research Letters, Elsevier, vol. 39(C).
    7. Bernard, Carole & De Gennaro Aquino, Luca & Levante, Lucia, 2021. "Optimal annuity demand for general expected utility agents," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 70-79.
    8. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    9. Ankush Agarwal & Christian-Oliver Ewald & Yongjie Wang, 2023. "Hedging longevity risk in defined contribution pension schemes," Computational Management Science, Springer, vol. 20(1), pages 1-34, December.
    10. Balter, Anne G. & Kallestrup-Lamb, Malene & Rangvid, Jesper, 2021. "Macro longevity risk and the choice between annuity products: Evidence from Denmark," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 355-362.
    11. Catherine Donnelly, 2013. "Actuarial fairness and solidarity in pooled annuity funds," Papers 1311.5120, arXiv.org, revised Jul 2014.
    12. Berdin, Elia & Pancaro, Cosimo & Kok Sørensen, Christoffer, 2016. "A stochastic forward-looking model to assess the profitability and solvency of European insurers," SAFE Working Paper Series 137, Leibniz Institute for Financial Research SAFE, revised 2016.
    13. Milevsky, Moshe A. & Salisbury, Thomas S., 2016. "Equitable Retirement Income Tontines: Mixing Cohorts Without Discriminating," ASTIN Bulletin, Cambridge University Press, vol. 46(3), pages 571-604, September.
    14. Bernhardt, Thomas & Donnelly, Catherine, 2019. "Modern tontine with bequest: Innovation in pooled annuity products," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 168-188.
    15. Gaurav Khemka & Adam Butt, 2017. "Non-Parametric Integral Estimation Using Data Clustering in Stochastic dynamic Programming: An Introduction Using Lifetime Financial Modelling," Risks, MDPI, vol. 5(4), pages 1-17, October.
    16. Bovenberg, Lans & Nijman, Theo, 2015. "Personal Pensions with Risk Sharing, Affordable, Adequate and Stable Private Pensions in Europe," Other publications TiSEM 847e1615-acc8-4a4d-ac4c-5, Tilburg University, School of Economics and Management.
    17. Berdin, Elia, 2016. "Interest rate risk, longevity risk and the solvency of life insurers," ICIR Working Paper Series 23/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    18. Chen, An & Guillen, Montserrat & Rach, Manuel, 2021. "Fees in tontines," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 89-106.
    19. Nijman, Theo E & Bovenberg, Lans, 2015. "Personal Pensions with Risk sharing: Affordable, Adequate and Stable Private Pensions in Europe," CEPR Discussion Papers 10538, C.E.P.R. Discussion Papers.
    20. Thomas Bernhardt & Catherine Donnelly, 2019. "Modern tontine with bequest: innovation in pooled annuity products," Papers 1903.05990, arXiv.org.

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    More about this item

    Keywords

    Longevity risk; Optimal insurance; Life annuity; Group self-annuitization (GSA); Market frictions;
    All these keywords.

    JEL classification:

    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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