Unemployment Insurance with Hidden Savings
Abstract
This paper studies the design of unemployment insurance when neither the searching effort nor the savings of an unemployed agent can be monitored. If the principal could monitor the savings, the optimal policy would leave the agent savings-constrained. With a constant absolute risk-aversion (CARA) utility function, we obtain a closed form solution of the optimal contract. Under the optimal contract, the agent is neither saving nor borrowing constrained. Counter-intuitively, his consumption declines faster than implied by Hopenhayn and Nicolini [4]. The efficient allocation can be implemented by an increasing benefit during unemployment and a constant tax during employment.Download Info
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 23214.Length:
Date of creation: Mar 2010
Date of revision:
Handle: RePEc:pra:mprapa:23214
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Related research
Keywords: hidden savings; hidden wealth; repeated moral hazard; unemployment insurance.;Other versions of this item:
- Mitchell, Matthew & Zhang, Yuzhe, 2010. "Unemployment insurance with hidden savings," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2078-2107, November.
- D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
- J65 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - Unemployment Insurance; Severance Pay; Plant Closings
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-06-18 (All new papers)
- NEP-CTA-2010-06-18 (Contract Theory & Applications)
- NEP-DGE-2010-06-18 (Dynamic General Equilibrium)
- NEP-IAS-2010-06-18 (Insurance Economics)
- NEP-LAB-2010-06-18 (Labour Economics)
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Steven Shavell & Laurence Weiss, 1978.
"The Optimal Payment of Unemployment Insurance Benefits over Time,"
Cowles Foundation Discussion Papers
503, Cowles Foundation for Research in Economics, Yale University.
- Shavell, Steven & Weiss, Laurence, 1979. "The Optimal Payment of Unemployment Insurance Benefits over Time," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1347-62, December.
- Abraham Arpad & Nicola Pavoni, 2004.
"Efficient Allocations, with Moral Hazard and Hidden Borrowing and Lending,"
Levine's Bibliography
122247000000000138, UCLA Department of Economics.
- Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
- Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
- David Card & Raj Chetty & Andrea Weber, 2006.
"Cash-on-Hand and Competing Models of Intertemporal Behavior: New Evidence from the Labor Market,"
NBER Working Papers
12639, National Bureau of Economic Research, Inc.
- David Card & Raj Chetty & Andrea Weber, 2007. "Cash-On-Hand and Competing Models of Intertemporal Behavior: New Evidence from the Labor Market," The Quarterly Journal of Economics, MIT Press, vol. 122(4), pages 1511-1560, November.
- Narayana Kocherlakota, 2010.
"Figuring out the impact of hidden savings on optimal unemployment insuranc,"
Levine's Working Paper Archive
506439000000000291, David K. Levine.
- Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
- Abraham, A & Pavoni, N, 2008.
"Efficient allocations with moral hazard and hidden borrowing and lending: A recursive formulation,"
Open Access publications from University College London
http://discovery.ucl.ac.u, University College London.
- Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
- Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
- Árpád Ábrahám & Nicola Pavoni, 2008. "Optimal Income Taxation and Hidden Borrowing and Lending: The First-Order Approach in Two Periods," Carlo Alberto Notebooks 102, Collegio Carlo Alberto.
- Hopenhayn, Hugo A & Nicolini, Juan Pablo, 1997.
"Optimal Unemployment Insurance,"
Journal of Political Economy,
University of Chicago Press, vol. 105(2), pages 412-38, April.
- Lars Ljungqvist & Thomas Sargent, 1999. "Matlab code for Hopenhayn-Nicolini's optimal unemployment insurance model," QM&RBC Codes 18, Quantitative Macroeconomics & Real Business Cycles.
- Hopenhayn, H. & Nicolini, P.J., 1996. "Optimal Unemployment Insurance," RCER Working Papers 421, University of Rochester - Center for Economic Research (RCER).
Citations
Blog mentions
As found by EconAcademics.org, the blog aggregator for Economics research:- Unemployment Insurance with Hidden Savings
by Christian Zimmermann in NEP-DGE blog on 2010-06-23 07:09:58
Cited by:
- Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2010.
"On the First-Order Approach in Principal-Agent Models with Hidden Borrowing and Lending,"
2010 Meeting Papers
947, Society for Economic Dynamics.
- Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
- Abraham, A & Pavoni, N, 2008.
"Efficient allocations with moral hazard and hidden borrowing and lending: A recursive formulation,"
Open Access publications from University College London
http://discovery.ucl.ac.u, University College London.
- Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
- David L. Fuller, 2010.
"Adverse Selection and Moral Hazard: Quantitative Implications for Unemployment Insurance,"
Working Papers
12004, Concordia University, Department of Economics, revised Sep 2011.
- David Fuller, 2008. "Adverse Selection and Moral Hazard: Quanitative Implications for Unemployment Insurance," 2008 Meeting Papers 889, Society for Economic Dynamics.
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