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ACTUARIAL FAIRNESS AND SOLIDARITY IN POOLED ANNUITY FUNDS

  • Catherine Donnelly (a1)
Abstract

Various types of structures that enable a group of individuals to pool their mortality risk have been proposed in the literature. Collectively, the structures are called pooled annuity funds. Since the pooled annuity funds propose different methods of pooling mortality risk, we investigate the connections between them and find that they are genuinely different for a finite heterogeneous membership profile. We discuss the importance of actuarial fairness, defined as the expected benefits equalling the contributions for each member, in the context of pooling mortality risk and comment on whether actuarial unfairness can be seen as solidarity between members. We show that, with a finite number of members in the fund, the group self-annuitization scheme is not actuarially fair: some members subsidize the other members. The implication is that the members who are subsidizing the others may obtain a higher expected benefit by joining a fund with a more favorable membership profile. However, we find that the subsidies are financially significant only for very small or highly heterogeneous membership profiles.

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Donnelly, C. (2014) Quantifying mortality risk in small defined-benefit pension schemes. Scandinavian Actuarial Journal, 2014 (1), 4157.
Donnelly, C., Guillén, M. and Nielsen, J.P. (2013) Exchanging uncertain mortality for a cost. Insurance: Mathematics and Economics, 52 (1), 6576.
Donnelly, C., Guillén, M. and Nielsen, J.P. (2014) Bringing cost transparency to the life annuity market. Insurance: Mathematics and Economics, 56, 1427.
Hanewald, K., Piggott, J. and Sherris, M. (2013) Individual post-retirement longevity risk management under systematic mortality risk. Insurance: Mathematics and Economics, 52 (1), 8797.
Piggott, J., Valdez, E.A. and Detzel, B. (2005) The simple analytics of a pooled annuity fund. Journal of Risk and Insurance, 72 (3), 497520.
Pension Protection Fund and The Pensions Regulator (2013) The Purple Book: DB Pensions Universe Risk Profile, 2013. Available at http://www.pensionprotectionfund.org.uk/Pages/ThePurpleBook.aspx.
Qiao, C. and Sherris, M. (2013) Managing systematic mortality risk with group self pooling and annuitization schemes. Journal of Risk and Insurance, 80 (4), 949974.
Sabin, M.J. (2010) Fair tontine annuity. Social Science Research Network. Available at http://ssrn.com/abstract=1579932.
Stamos, M.Z. (2008) Optimal consumption and portfolio choice for pooled annuity funds. Insurance: Mathematics and Economics, 43 (1), 5668.
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ASTIN Bulletin: The Journal of the IAA
  • ISSN: 0515-0361
  • EISSN: 1783-1350
  • URL: /core/journals/astin-bulletin-journal-of-the-iaa
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