A Note on Gollier’s Model for a Collective Pension Scheme

27 Pages Posted: 31 Oct 2019

See all articles by J. M. Schumacher

J. M. Schumacher

University of Amsterdam - Department of Quantitative Economics (KE)

Date Written: August 9, 2019

Abstract

Gollier (2008) has proposed a model for the analysis of pension schemes that is helpful to focus attention on the impact of intergenerational risk sharing and on the role of the participation constraint. He uses the model to analyze the relative attractiveness of a collective scheme with respect to schemes that may be implemented by individuals for themselves. The analysis makes use of an assumption concerning the ownership rights of investment returns realized by generations that are between career start and retirement at the time of the transition from an individual to a collective system. This assumption is of a legal nature, and may be challenged. The present paper investigates the consequences of adopting an alternative assumption. Additionally, the effects are considered of changes in the specification of agents' preferences, aiming to express the specific nature of retirement income provision in the second pillar. The impact of the modifications turns out to be quite large. The Black-Scholes assumptions are used to model the economic environment, so that many results can be obtained in closed form.

Keywords: collective pension fund, autarky scheme, horizon lengthening, participation constraint

JEL Classification: G11, G22

Suggested Citation

Schumacher, J.M. (Hans), A Note on Gollier’s Model for a Collective Pension Scheme (August 9, 2019). Available at SSRN: https://ssrn.com/abstract=3473004

J.M. (Hans) Schumacher (Contact Author)

University of Amsterdam - Department of Quantitative Economics (KE) ( email )

Roetersstraat 11
Amsterdam, 1018 WB
Netherlands

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