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Optimal Investments in Annuities and Life Insurance for Retired Couples: The Role of Side Bequest Motives

Author

Listed:
  • Martijn de Werd
  • Bertrand Achou
  • Ki Wai Chau

Abstract

Recent empirical evidence shows that a significant amount of wealth is bequeathed at the death of the first spouse. We study both theoretically and quantitatively how couples’ retirement portfolio of annuities and life insurance is affected by such side bequests. We show that life-contingent products allow couples to smooth their side bequests as they enable to make the latter independent of which spouse dies first. We also show that side bequests reduce the wealth left to the surviving spouse while raising the demand for life insurance (or reducing the demand for annuities). Quantitatively, we find that side bequests have a sizable impact on the demand for annuities: annuity participation is 28 percentage points lower for married women and 41 percentage points lower for married men. Finally, we find that side bequests modify the distribution of welfare gains from having access to life-contingent products and that incorrectly omitting side bequest motives in the design of optimal portfolio strategies comes at large welfare costs.

Suggested Citation

  • Martijn de Werd & Bertrand Achou & Ki Wai Chau, 2026. "Optimal Investments in Annuities and Life Insurance for Retired Couples: The Role of Side Bequest Motives," Cahiers de recherche / Working Papers 25, Institut sur la retraite et l'épargne / Retirement and Savings Institute.
    • Handle: RePEc:rsi:irersi:25
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    References listed on IDEAS

    as
    1. Hambel, Christoph, 2020. "Health shock risk, critical illness insurance, and housing services," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 111-128.
    2. Lee M. Lockwood, 2018. "Incidental Bequests and the Choice to Self-Insure Late-Life Risks," American Economic Review, American Economic Association, vol. 108(9), pages 2513-2550, September.
    3. Chen, Shumin & Luo, Dan & Yao, Haixiang, 2024. "Optimal investor life cycle decisions with time-inconsistent preferences," Journal of Banking & Finance, Elsevier, vol. 161(C).
    4. Mariacristina De Nardi & Eric French & John Bailey Jones & Rory McGee & Rachel Rodgers, 2020. "Medical Spending, Bequests, and Asset Dynamics around the Time of Death," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 4, pages 135-157.
    5. 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.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Corina Mommaerts, 2025. "Long-Term Care Insurance and the Family," Journal of Political Economy, University of Chicago Press, vol. 133(1), pages 1-52.
    8. 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.
    9. Bruhn, Kenneth & Steffensen, Mogens, 2011. "Household consumption, investment and life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 315-325, May.
    10. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    11. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    12. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    13. Boyle, Phelim & Tan, Ken Seng & Wei, Pengyu & Zhuang, Sheng Chao, 2022. "Annuity and insurance choice under habit formation," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 211-237.
    14. Cormac O'Dea & David Sturrock, 2023. "Survival Pessimism and the Demand for Annuities," The Review of Economics and Statistics, MIT Press, vol. 105(2), pages 442-457, March.
    15. Mariacristina De Nardi & Eric French & John B. Jones, 2010. "Why Do the Elderly Save? The Role of Medical Expenses," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 39-75, February.
    16. Andreas Hubener & Raimond Maurer & Ralph Rogalla, 2014. "Optimal Portfolio Choice with Annuities and Life Insurance for Retired Couples," Review of Finance, European Finance Association, vol. 18(1), pages 147-188.
    17. 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.
    18. 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.
    19. Been-Lo Chen & Fei-Chi Liang, 2024. "Optimal Taxation in the Life Cycle with Human Capital Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 52, pages 21-45, April.
    20. Mariacristina De Nardi & Eric French & John Bailey Jones & Rory McGee, 2025. "Why Do Couples and Singles Save during Retirement? Household Heterogeneity and Its Aggregate Implications," Journal of Political Economy, University of Chicago Press, vol. 133(3), pages 750-792.
    21. 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.
    22. 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.
    23. 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.
    24. Aleksandar Arandjelovi'c & Geoffrey Kingston & Pavel V. Shevchenko, 2023. "Life cycle insurance, bequest motives and annuity loads," Papers 2310.06274, arXiv.org.
    25. 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.
    26. Fahle, Sean, 2025. "What do bequests in married couples with a surviving spouse tell us about bequest motives?," Journal of Public Economics, Elsevier, vol. 244(C).
    27. Lee Lockwood, 2012. "Bequest Motives and the Annuity Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 226-243, April.
    28. Eduard Suari-Andreu & Rob J M Alessie & Viola Angelini & Raun van Ooijen, 2024. "Giving with a warm hand: evidence on estate planning and inter-vivos transfers," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 39(119), pages 655-700.
    29. Arandjelović, Aleksandar & Kingston, Geoffrey & Shevchenko, Pavel V., 2023. "Life cycle insurance, bequest motives and annuity loads," Journal of Economic Dynamics and Control, Elsevier, vol. 157(C).
    30. Holger Kraft & Claus Munk & Sebastian Wagner, 2018. "Housing Habits and Their Implications for Life-Cycle Consumption and Investment [The evolution of homeownership rates in selected OECD countries: demographic and public policy influences]," Review of Finance, European Finance Association, vol. 22(5), pages 1737-1762.
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G51 - Financial Economics - - Household Finance - - - Household Savings, Borrowing, Debt, and Wealth
    • G52 - Financial Economics - - Household Finance - - - Insurance

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