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Time-consistent pension policy with minimum guarantee and sustainability constraint

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  • Caroline Hillairet
  • Sarah Kaakai
  • Mohamed Mrad

Abstract

This paper proposes and investigates an optimal pair investment/pension policy for a pay-as-you-go (PAYG) pension scheme. The social planner can invest in a buffer fund in order to guarantee a minimal pension amount. The model aims at taking into account complex dynamic phenomena such as the demographic risk and its evolution over time, the time and age dependence of agents preferences, and financial risks. The preference criterion of the social planner is modeled by a consistent dynamic utility defined on a stochastic domain, which incorporates the heterogeneity of overlapping generations and its evolution over time. The preference criterion and the optimization problem also incorporate sustainability, adequacy and fairness constraints. The paper designs and solves the social planner's dynamic decision criterion, and computes the optimal investment/pension policy in a general framework. A detailed analysis for the case of dynamic power utilities is provided.

Suggested Citation

  • Caroline Hillairet & Sarah Kaakai & Mohamed Mrad, 2022. "Time-consistent pension policy with minimum guarantee and sustainability constraint," Papers 2207.01536, arXiv.org, revised Feb 2024.
    • Handle: RePEc:arx:papers:2207.01536
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    References listed on IDEAS

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    1. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344.
    2. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344, December.
    3. M. Musiela & T. Zariphopoulou, 2011. "Initial Investment Choice And Optimal Future Allocations Under Time-Monotone Performance Criteria," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 61-81.
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