Pensions with Endogenous and Stochastic Fertility

CORE Discussion Paper No. 2004/67

30 Pages Posted: 3 Feb 2005

See all articles by Helmuth Cremer

Helmuth Cremer

University of Toulouse (GREMAQ & IDEI); Centre for Economic Policy Research (CEPR); CESifo (Center for Economic Studies and Ifo Institute)

Firouz Gahvari

University of Illinois at Urbana-Champaign - Department of Economics; CESifo (Center for Economic Studies and Ifo Institute)

Pierre Pestieau

University of Liège - Research Center on Public and Population Economics; Centre for Economic Policy Research (CEPR); CESifo (Center for Economic Studies and Ifo Institute); Catholic University of Louvain (UCL) - Center for Operations Research and Econometrics (CORE)

Date Written: September 2004

Abstract

This paper studies the design of a pay-as-you-go social security system in a society where fertility is in part stochastic and in part determined through capital investment. If parents' investments in children are publicly observable, pension benefits must be linked positively to the level of investment, and payroll taxes negatively to the number of children. The outcome is characterized by full insurance with all parents, regardless of their number of children, enjoying identical consumption levels. Without observability, benefits must increase, and payroll taxes decrease, with the number of children. The second-best level of investment in children, and the resulting average fertility rate, are less than their corresponding first-best levels.

Keywords: Pay-as-you-go social security, endogenous fertility, storage, moral hazard, Samuelson's condition

JEL Classification: H55, J13

Suggested Citation

Cremer, Helmuth and Gahvari, Firouz and Pestieau, Pierre, Pensions with Endogenous and Stochastic Fertility (September 2004). CORE Discussion Paper No. 2004/67, Available at SSRN: https://ssrn.com/abstract=660081 or http://dx.doi.org/10.2139/ssrn.660081

Helmuth Cremer (Contact Author)

University of Toulouse (GREMAQ & IDEI) ( email )

Toulouse, 31000
France
+33 1 6112 8606 (Phone)
+33 1 6112 8637 (Fax)

Centre for Economic Policy Research (CEPR)

London
United Kingdom

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

Firouz Gahvari

University of Illinois at Urbana-Champaign - Department of Economics ( email )

313 David Kinley Hall, 1407 West Gregory Drive
Urbana, IL 61801
United States

HOME PAGE: http://www.economics.illinois.edu/people/fgahvari

CESifo (Center for Economic Studies and Ifo Institute) ( email )

Poschingerstr. 5
Munich, DE-81679
Germany

Pierre Pestieau

University of Liège - Research Center on Public and Population Economics ( email )

Boulevard du Rectorat, 7, Batiment 31
Sart-Tilman
B-4000 Liege, 4000
Belgium
+32 4 366 3108 (Phone)
+32 4 366 3106 (Fax)

Centre for Economic Policy Research (CEPR)

London
United Kingdom

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

HOME PAGE: http://www.CESifo.de

Catholic University of Louvain (UCL) - Center for Operations Research and Econometrics (CORE) ( email )

34 Vopie Roman Pays
Louvain la Neuve
Belgium

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