Mitchell, Matthew and Zhang, Yuzhe (2010): Unemployment Insurance with Hidden Savings. Forthcoming in: Journal of Economic Theory
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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 . The efficient allocation can be implemented by an increasing benefit during unemployment and a constant tax during employment.
|Item Type:||MPRA Paper|
|Original Title:||Unemployment Insurance with Hidden Savings|
|Keywords:||hidden savings, hidden wealth, repeated moral hazard, unemployment insurance.|
|Subjects:||D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D86 - Economics of Contract: Theory
J - Labor and Demographic Economics > J6 - Mobility, Unemployment, and Vacancies > J65 - Unemployment Insurance; Severance Pay; Plant Closings
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D82 - Asymmetric and Private Information; Mechanism Design
|Depositing User:||Yuzhe Zhang|
|Date Deposited:||10. Jun 2010 16:36|
|Last Modified:||17. Feb 2013 13:18|
Abraham, A., and N. Pavoni (2008): “Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: a Recursive Formulation,” Rev. Econ. Dynam., 11, 781–803.
Abraham, A., and N. Pavoni (2009): “Optimal Income Taxation and Hidden Borrowing and Lending: The First-Order Approach in Two Periods,” Carlo Alberto Notebooks, No. 102.
Card, D., R. Chetty, and A. Weber (2007): “Cash-on-Hand and Competing Models of Intertemporal Behavior: New Evidence from the Labor Market,” Quart. J. Econ., 122, 1511–1560.
Hopenhayn, H., and J. P. Nicolini (1997): “Optimal Unemployment Insurance,” J. Polit. Economy, 105(2), 412–438.
Kocherlakota, N. (2004): “Figuring Out the Impact of Hidden Savings on Optimal Unemployment Insurance,” Rev. Econ. Dynam., 7, 541–554.
Rogerson, W. (1985): “Repeated Moral Hazard,” Econometrica, 53, 69–76.
Shavell, S., and L. Weiss (1979): “The Optimal Payment of Unemployment Insurance Benefits over Time,” J. Polit. Economy, 87, 1347–1362.
Shimer, R., and I. Werning (2008): “Liquidity and Insurance for the Unemployed,” Amer. Econ. Rev., 98(5), 1922–42.
Werning, I. (2001): “Repeated Moral Hazard with Unmonitored Wealth: a Recursive First-Order Approach,” Working paper, MIT, http://econ-www.mit.edu/files/1264.
Werning, I. (2002): “Optimal Unemployment Insurance with Unobservable Savings,” Working paper, MIT, http://econ-www.mit.edu/files/1267.
Williams, N. (2009): “On Dynamic Principal-Agent Problems in Continuous Time,” Working paper, University of Wisconsin - Madison, http://www.ssc.wisc.edu/ nwilliam/dynamic-pa2.pdf.