seminar participants at numerous institutions for helpful comments and suggestions. All remaining errors are our own. A previous version of this paper has circulated under the title "Risk Sharing: PrivateInsurance Markets or Redistributive Taxation? The views expressed herein are those of the author(s) and do not necessarily reflect the views of the National Bureau of Economic Research.NBER working papers are circulated for discussion and comment purposes. They have not been peerreviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications.© 2009 by Dirk Krueger and Fabrizio Perri. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source.
ABSTRACTCan public insurance through redistributive income taxation improve the allocation of risk in an economy in which private risk sharing is limited? The answer depends crucially on the fundamental friction that limits private risk sharing in the first place. If risk sharing is incomplete because some insurance markets are missing for model-exogenous reasons (as in Bewley, 1986 andAiyagari, 1994) publicly provided risk sharing via a tax system generally improves on the allocation of risk. If instead private insurance markets exist but their use is limited by the absence of complete enforcement (as in Levine, 1993 and then the provision of public insurance can crowd out private insurance to such an extent that total consumption insurance is reduced. By reducing income risk the tax system increases the value of being excluded from private insurance markets and hence weakens the enforcement mechanism of these contracts. In this paper we theoretically characterize and numerically compute equilibria in an economy with limited enforcement and a continuum of agents facing realistic income risk and tax systems with various degrees of risk reduction (progressivity). We find that the crowding-out effect of public insurance on private insurance in the limited enforcement model can be quantitatively important, as is the positive insurance effect of taxation in the Bewley model.