Stochastic Fertility, Moral Hazard, and the Design of Pay-As-You-Go Pension Plans

Cremer, Helmuth;Gahvari, Firouz;Pestieau, Pierre
(2011) CES-IFO Economic Studies — Vol. 57, n° 2, p. 332-348 (2011)

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Authors
  • Cremer, HelmuthToulouse School of Economics
    Author
  • Gahvari, FirouzUniversity of Illinois at Urana-Champaign
    Author
  • Pestieau, PierreUCLouvain
    Author
Abstract
This article models a two-period overlapping generations economy in the steady state where the realization of the quantity/quality number of children depends on an initial investment in children and on a random shock. It shows that the implementation of the first-best allocation, in which the effort level is publicly observable, requires a subsidy on the investment in children. There should also be full insurance with respect to second-period consumption and pensions must be invariant to the number of children. On the other hand, when investment is unobservable and one cannot subsidize it, the full insurance property goes away. In this case, pensions must be linked positively to the number of children.
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Citations

Cremer, H., Gahvari, F., & Pestieau, P. (2011). Stochastic Fertility, Moral Hazard, and the Design of Pay-As-You-Go Pension Plans. CES-IFO Economic Studies, 57(2), 332-348. https://doi.org/10.1093/cesifo/ifr009 (Original work published 2011)