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Decentralized Annuity: A Quest for the Holy Grail of Lifetime Financial Security

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  • Feng Runhuan
  • Liang Zongxia
  • Song Yilun

Abstract

This paper presents a novel framework for decentralized annuities, aiming to address the limitations of traditional pension systems such as defined contribution (DC) and defined benefit (DB) plans, while providing lifetime financial support. It sheds light on often ignored pitfalls within current retirement schemes and introduces individual rationality properties. The research delves into various fairness concepts that underpin existing plans, emphasizing that decentralized annuities, while meeting similar fairness criteria, offer enhanced flexibility for individual rationality and improved social welfare for all participants. Using theoretical models and examples, we demonstrate the potential of decentralized annuities to outperform self-managed plans (DC) and to produce effects comparable to defined benefit (DB) plans, particularly within larger participant pools. The paper concludes by exploring the managerial implications of decentralized annuities and laying the groundwork for the further advancement of equitable and sustainable decentralized annuity systems.

Suggested Citation

  • Feng Runhuan & Liang Zongxia & Song Yilun, 2025. "Decentralized Annuity: A Quest for the Holy Grail of Lifetime Financial Security," Papers 2502.13742, arXiv.org.
    • Handle: RePEc:arx:papers:2502.13742
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    1. Erio Castagnoli & Giacomo Cattelan & Fabio Maccheroni & Claudio Tebaldi & Ruodu Wang, 2022. "Star-Shaped Risk Measures," Operations Research, INFORMS, vol. 70(5), pages 2637-2654, September.
    2. 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.
    3. Oliver Kley & Claudia Klüppelberg & Gesine Reinert, 2016. "Risk in a Large Claims Insurance Market with Bipartite Graph Structure," Operations Research, INFORMS, vol. 64(5), pages 1159-1176, October.
    4. Rose-Anne Dana & Cuong Le Van, 2010. "Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures," PSE-Ecole d'économie de Paris (Postprint) halshs-00308530, HAL.
    5. Rose-Anne Dana & Cuong Le Van, 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Post-Print halshs-00470670, HAL.
    6. Rose-Anne Dana & Cuong Le Van, 2007. "Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures," Documents de travail du Centre d'Economie de la Sorbonne b07068, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    7. Michel Denuit & Jan Dhaene & Christian Y. Robert, 2022. "Risk‐sharing rules and their properties, with applications to peer‐to‐peer insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(3), pages 615-667, September.
    8. 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.
    9. Dana, R.A. & Le Van, C., 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2186-2202, November.
    10. Erio Castagnoli & Giacomo Cattelan & Fabio Maccheroni & Claudio Tebaldi & Ruodu Wang, 2021. "Star-shaped Risk Measures," Papers 2103.15790, arXiv.org, revised Apr 2022.
    11. Milevsky, Moshe A. & Salisbury, Thomas S., 2015. "Optimal retirement income tontines," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 91-105.
    12. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
    13. Paul Embrechts & Haiyan Liu & Tiantian Mao & Ruodu Wang, 2017. "Quantile-Based Risk Sharing with Heterogeneous Beliefs," Swiss Finance Institute Research Paper Series 17-65, Swiss Finance Institute, revised Jan 2018.
    14. Donnelly, Catherine & Guillén, Montserrat & Nielsen, Jens Perch, 2013. "Exchanging uncertain mortality for a cost," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 65-76.
    15. repec:dau:papers:123456789/361 is not listed on IDEAS
    16. Barrieu, Pauline & El Karoui, Nicole, 2005. "Inf-convolution of risk measures and optimal risk transfer," LSE Research Online Documents on Economics 2829, London School of Economics and Political Science, LSE Library.
    17. repec:dau:papers:123456789/2342 is not listed on IDEAS
    18. Torben M. Andersen & Marias H. Gestsson, 2021. "Annuitization and aggregate mortality risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(1), pages 79-99, March.
    19. Damir Filipović & Gregor Svindland, 2008. "Optimal capital and risk allocations for law- and cash-invariant convex functions," Finance and Stochastics, Springer, vol. 12(3), pages 423-439, July.
    20. Genaro Gutierrez & Anand Paul, 2000. "Analysis of the Effects of Uncertainty, Risk-Pooling, and Subcontracting Mechanisms on Project Performance," Operations Research, INFORMS, vol. 48(6), pages 927-938, December.
    21. 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.
    22. E. Jouini & W. Schachermayer & N. Touzi, 2008. "Optimal Risk Sharing For Law Invariant Monetary Utility Functions," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 269-292, April.
    23. repec:dau:papers:123456789/5045 is not listed on IDEAS
    24. Chen, An & Rach, Manuel & Sehner, Thorsten, 2020. "On The Optimal Combination Of Annuities And Tontines," ASTIN Bulletin, Cambridge University Press, vol. 50(1), pages 95-129, January.
    25. Peng Liu & Andreas Tsanakas & Yunran Wei, 2024. "Risk sharing with Lambda value at risk under heterogeneous beliefs," Papers 2408.03147, arXiv.org, revised Sep 2024.
    26. Rose-Anne Dana & Cuong Le Van, 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," PSE-Ecole d'économie de Paris (Postprint) halshs-00470670, HAL.
    27. Zhanyi Jiao & Steven Kou & Yang Liu & Ruodu Wang, 2022. "An axiomatic theory for anonymized risk sharing," Papers 2208.07533, arXiv.org, revised May 2023.
    28. Fangda Liu & Tiantian Mao & Ruodu Wang & Linxiao Wei, 2022. "Inf-Convolution, Optimal Allocations, and Model Uncertainty for Tail Risk Measures," Mathematics of Operations Research, INFORMS, vol. 47(3), pages 2494-2519, August.
    29. Marcelo Brutti Righi & Marlon Ruoso Moresco, 2024. "Inf-convolution and optimal risk sharing with countable sets of risk measures," Annals of Operations Research, Springer, vol. 336(1), pages 829-860, May.
    30. Pauline Barrieu & Nicole El Karoui, 2005. "Inf-convolution of risk measures and optimal risk transfer," Finance and Stochastics, Springer, vol. 9(2), pages 269-298, April.
    31. Runhuan Feng & Chongda Liu & Stephen Taylor, 2023. "Peer-to-peer risk sharing with an application to flood risk pooling," Annals of Operations Research, Springer, vol. 321(1), pages 813-842, February.
    32. Cai, Jun & Liu, Haiyan & Wang, Ruodu, 2017. "Pareto-optimal reinsurance arrangements under general model settings," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 24-37.
    33. Pitacco, Ermanno & Denuit, Michel & Haberman, Steven & Olivieri, Annamaria, 2009. "Modelling Longevity Dynamics for Pensions and Annuity Business," OUP Catalogue, Oxford University Press, number 9780199547272, Decembrie.
    34. Abdikerimova, Samal & Feng, Runhuan, 2022. "Peer-to-peer multi-risk insurance and mutual aid," European Journal of Operational Research, Elsevier, vol. 299(2), pages 735-749.
    35. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
    36. Michael Ferris & Andy Philpott, 2022. "Dynamic Risked Equilibrium," Operations Research, INFORMS, vol. 70(3), pages 1933-1952, May.
    37. 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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