In the context of the reform of defined benefit pension systems under population ageing, we focus on the introduction of automatic adjustment mechanisms linked to life expectancy. Our goal is to establish a relationship between changes in the key parameters of the pension system and changes in life expectancy, applying the principle of intergenerational actuarial neutrality. For a defined benefit pension scheme, we first obtain the fundamental adjustment equation and then, for particular cases, we derive different designs of automatic adjustment mechanisms depending on the involved parameter. We include a numerical application only for illustrative purposes.

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The main objective of this article is to determine, based on internal data, replacement rates for a defined benefit pension system, with two aims: the adequacy of pensions – measured in terms of the expenditure of retirees – and the sustainability of the system. For this purpose two instruments are used: the internal rate of return, and techniques based on systems of notional accounts. These figures, derived from internal data, will serve, by comparison with the replacement rate of the system, to assess whether the system tends more towards adequacy or sustainability. The system studied is that of Spain.

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