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Optimal unemployment insurance over the business cycle

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  • Landais, Camille
  • Michaillat, Pascal
  • Saez, Emmanuel

Abstract

This paper analyzes optimal unemployment insurance over the business cycle in a search model in which unemployment stems from matching frictions (in booms) and job rationing (in recessions). Job rationing during recessions introduces two novel effects ignored in previous studies of optimal unemployment insurance. First, job-search efforts have little effect on aggregate unemployment because the number of jobs available is limited, independently of matching frictions. Second, while job-search efforts increase the individual probability of finding a job, they create a negative externality by reducing other jobseekers’ probability of finding one of the few available jobs. Both effects are captured by the positive and countercyclical wedge between micro-elasticity and macro-elasticity of unemployment with respect to net rewards from work. We derive a simple optimal unemployment insurance formula expressed in terms of those two elasticities and risk aversion. The formula coincides with the classical Baily-Chetty formula only when unemployment is low, and macro- and micro-elasticity are (almost) equal. The formula implies that the generosity of unemployment insurance should be countercyclical. We illustrate this result by simulating the optimal unemployment insurance over the business cycle in a dynamic stochastic general equilibrium model calibrated with US data.

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  • Landais, Camille & Michaillat, Pascal & Saez, Emmanuel, 2010. "Optimal unemployment insurance over the business cycle," LSE Research Online Documents on Economics 35596, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:35596
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    1. Cahuc, Pierre & Wasmer, Etienne, 2001. "Does Intrafirm Bargaining Matter In The Large Firm'S Matching Model?," Macroeconomic Dynamics, Cambridge University Press, vol. 5(5), pages 742-747, November.
    2. Andersen, Torben M. & Svarer, Michael, 2009. "Business cycle dependent unemployment insurance," Kiel Working Papers 1498, Kiel Institute for the World Economy (IfW Kiel).
    3. Fredriksson, Peter & Holmlund, Bertil, 2001. "Optimal Unemployment Insurance in Search Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 370-399, April.
    4. Olivier Blanchard & Jordi Galí, 2010. "Labor Markets and Monetary Policy: A New Keynesian Model with Unemployment," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(2), pages 1-30, April.
    5. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    6. Cahuc, Pierre & Lehmann, Etienne, 2000. "Should unemployment benefits decrease with the unemployment spell?," Journal of Public Economics, Elsevier, vol. 77(1), pages 135-153, July.
    7. Rasmus Lentz, 2009. "Optimal Unemployment Insurance in an Estimated Job Search Model with Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 37-57, January.
    8. Melvyn Coles & Adrian Masters, 2006. "Optimal Unemployment Insurance in a Matching Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 24(1), pages 109-138, January.
    9. repec:hal:pseose:halshs-00840901 is not listed on IDEAS
    10. Layard, Richard & Nickell, Stephen & Jackman, Richard, 2005. "Unemployment: Macroeconomic Performance and the Labour Market," OUP Catalogue, Oxford University Press, number 9780199279173.
    11. 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, President and Fellows of Harvard College, vol. 122(4), pages 1511-1560.
    12. Kory Kroft & Matthew J. Notowidigdo, 2016. "Should Unemployment Insurance Vary with the Unemployment Rate? Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1092-1124.
    13. Kiley Michael T., 2003. "How Should Unemployment Benefits Respond to the Business Cycle?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 3(1), pages 1-22, July.
    14. Bruno Crépon & Esther Duflo & Marc Gurgand & Roland Rathelot & Philippe Zamora, 2013. "Do Labor Market Policies have Displacement Effects? Evidence from a Clustered Randomized Experiment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 531-580.
    15. Bemjamin Villena-Roldan, 2009. "Aggregate Implications of Employer Search and Recruiting Selection," 2009 Meeting Papers 97, Society for Economic Dynamics.
    16. Kroft, Kory, 2008. "Takeup, social multipliers and optimal social insurance," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 722-737, April.
    17. Pascal Michaillat, 2012. "Do Matching Frictions Explain Unemployment? Not in Bad Times," American Economic Review, American Economic Association, vol. 102(4), pages 1721-1750, June.
    18. Haefke, Christian & Sonntag, Marcus & van Rens, Thijs, 2013. "Wage rigidity and job creation," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 887-899.
    19. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 519-539, August.
    20. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    21. Phillip B. Levine, 1993. "Spillover Effects between the Insured and Uninsured Unemployed," ILR Review, Cornell University, ILR School, vol. 47(1), pages 73-86, October.
    22. Pascal Michaillat & Emmanuel Saez, 2015. "Aggregate Demand, Idle Time, and Unemployment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(2), pages 507-569.
    23. Raj Chetty & Amy Finkelstein, 2012. "Social Insurance: Connecting Theory to Data," NBER Working Papers 18433, National Bureau of Economic Research, Inc.
    24. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 375-410.
    25. Burgess, Simon & Profit, Stefan, 2001. "Externalities in the matching of workers and firms in ritain," Labour Economics, Elsevier, vol. 8(3), pages 313-333, June.
    26. Christopher A. Pissarides, 2009. "The Unemployment Volatility Puzzle: Is Wage Stickiness the Answer?," Econometrica, Econometric Society, vol. 77(5), pages 1339-1369, September.
    27. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, April.
    28. Moyen, Stéphane & Stähler, Nikolai, 2009. "Unemployment insurance and the business cycle: prolong benefit entitlements in bad times?," Discussion Paper Series 1: Economic Studies 2009,30, Deutsche Bundesbank.
    29. Michaillat, Pascal & Saez, Emmanuel, 2013. "A model of aggregate demand and unemployment," LSE Research Online Documents on Economics 51579, London School of Economics and Political Science, LSE Library.
    30. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
    31. Marc FERRACCI & Grégory JOLIVET & Gerard J van den Berg, 2009. "Treatment Evaluation in the Case of Interaction Within Markets," Working Papers 2009-22, Center for Research in Economics and Statistics.
    32. Silva, José Ignacio & Toledo, Manuel, 2009. "Labor Turnover Costs And The Cyclical Behavior Of Vacancies And Unemployment," Macroeconomic Dynamics, Cambridge University Press, vol. 13(S1), pages 76-96, May.
    33. Chetty, Raj, 2006. "A general formula for the optimal level of social insurance," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1879-1901, November.
    34. Moffitt, Robert, 1985. "Unemployment insurance and the distribution of unemployment spells," Journal of Econometrics, Elsevier, vol. 28(1), pages 85-101, April.
    35. Štěpán Jurajda & Frederick J. Tannery, 2003. "Unemployment Durations and Extended Unemployment Benefits in Local Labor Markets," ILR Review, Cornell University, ILR School, vol. 56(2), pages 324-348, January.
    36. Nicola Pavoni & G. L. Violante, 2007. "Optimal Welfare-to-Work Programs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(1), pages 283-318.
    37. Bertil Holmlund, 1998. "Unemployment Insurance in Theory and Practice," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(1), pages 113-141, March.
    38. Pieter Gautier & Paul Muller & Bas van der Klaauw & Michael Rosholm & Michael Svarer, 2018. "Estimating Equilibrium Effects of Job Search Assistance," Journal of Labor Economics, University of Chicago Press, vol. 36(4), pages 1073-1125.
    39. Arulampalam, Wiji & Stewart, Mark B, 1995. "The Determinants of Individual Unemployment Durations in an Era of High Unemployment," Economic Journal, Royal Economic Society, vol. 105(429), pages 321-332, March.
    40. Hopenhayn, Hugo A & Nicolini, Juan Pablo, 1997. "Optimal Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 412-438, April.
    41. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 279-298.
    42. Lalive, Rafael, 2008. "How do extended benefits affect unemployment duration A regression discontinuity approach," Journal of Econometrics, Elsevier, vol. 142(2), pages 785-806, February.
    43. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    44. Raj Chetty, 2004. "Optimal Unemployment Insurance When Income Effects are Large," NBER Working Papers 10500, National Bureau of Economic Research, Inc.
    45. Meyer, Bruce D, 1990. "Unemployment Insurance and Unemployment Spells," Econometrica, Econometric Society, vol. 58(4), pages 757-782, July.
    46. 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 1347-1362, December.
    47. Diamond, Peter A, 1981. "Mobility Costs, Frictional Unemployment, and Efficiency," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 798-812, August.
    48. 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.
    49. Johannes F. Schmieder† & Till von Wachter & Stefan Bender, 2011. "The Effects Of Extended Unemployment Insurance Over The Business Cycle: Evidence From Regression Discontinuity Estimates Over Twenty Years," Boston University - Department of Economics - Working Papers Series WP2011-063, Boston University - Department of Economics.
    50. Johannes F. Schmieder & Till M. von Wachter & Stefan Bender, 2012. "The Long-Term Effects of Unemployment Insurance Extensions on Employment," NBER Working Papers 17814, National Bureau of Economic Research, Inc.
    51. Barron, John M & Berger, Mark C & Black, Dan A, 1997. "Employer Search, Training, and Vacancy Duration," Economic Inquiry, Western Economic Association International, vol. 35(1), pages 167-192, January.
    52. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    53. Baily, Martin Neil, 1978. "Some aspects of optimal unemployment insurance," Journal of Public Economics, Elsevier, vol. 10(3), pages 379-402, December.
    54. Sánchez, Juan M., 2008. "Optimal state-contingent unemployment insurance," Economics Letters, Elsevier, vol. 98(3), pages 348-357, March.
    55. Richard Blundell & Monica Costa Dias & Costas Meghir & John Van Reenen, 2004. "Evaluating the Employment Impact of a Mandatory Job Search Program," Journal of the European Economic Association, MIT Press, vol. 2(4), pages 569-606, June.
    56. Acemoglu, Daron, 2001. "Good Jobs versus Bad Jobs," Journal of Labor Economics, University of Chicago Press, vol. 19(1), pages 1-21, January.
    57. Gruber, Jonathan, 1997. "The Consumption Smoothing Benefits of Unemployment Insurance," American Economic Review, American Economic Association, vol. 87(1), pages 192-205, March.
    58. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    59. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
    60. Robert E. Hall, 2005. "Employment Fluctuations with Equilibrium Wage Stickiness," American Economic Review, American Economic Association, vol. 95(1), pages 50-65, March.
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    More about this item

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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