A Quantitative Theory of Time-Consistent Unemployment Insurance

Xie, Zoe and Pei, Yun (2016): A Quantitative Theory of Time-Consistent Unemployment Insurance.

Abstract

During recessions, the U.S. government substantially increases the duration of unemployment insurance (UI) benefits through multiple extensions. This paper seeks to understand the incentives driving these increases. Because of the trade-off between insurance and job search incentives, the classic time-inconsistency problem arises. This paper endogenizes a time-consistent UI policy in a stochastic equilibrium search model, where a government without commitment to future policies chooses the UI benefit level and expected duration each period. A longer benefit duration increases unemployed workers' consumption but reduces job search, leading to higher future unemployment. Quantitatively, the model rationalizes most of the variations in benefit duration during the Great Recession. We use the framework to evaluate the effects of the 2009-2013 benefit extensions on unemployment and welfare.

• Item Type: MPRA Paper
• Language: English
• Keywords: Time-consistent policy, Unemployment insurance, Labor market, Business cycle
• Subjects: E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E61 - Policy Objectives ; Policy Designs and Consistency ; Policy Coordination; H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H21 - Efficiency ; Optimal Taxation; J - Labor and Demographic Economics > J6 - Mobility, Unemployment, Vacancies, and Immigrant Workers > J64 - Unemployment: Models, Duration, Incidence, and Job Search; J - Labor and Demographic Economics > J6 - Mobility, Unemployment, Vacancies, and Immigrant Workers > J65 - Unemployment Insurance ; Severance Pay ; Plant Closings

References

Albertini, J. and A. Poirier(2015): “UnemploymentBenefitExtensionattheZeroLowerBound,”Review of Economic Dynamics, 18, 733–751.

Alesina, A. and G. Tabellini(1990): “APositiveTheoryofFiscalDeficitsandGovernmentDebt,”Review of Economic Studies, 57, 403–414.

Barnichon, R. (2010): “Building a Composite Help-Wanted Index,” Economics Letters, 109, 175–178.

Battaglini, M. and S. Coate (2008): “A Dynamic Theory of Public Spending, Taxation, and Debt,” American Economic Review, 98, 201–236.

Chari, V. and P. Kehoe (2007): “On the Need for Fiscal Constraints in a Monetary Union,” Journal of Monetary Economics, 54, 2399–2408.

Chatterjee, S. and B. Eyigungor (2014): “Continuous Markov Equilibria with Quasi–Geometric Discounting,” Federal Reserve Bank of Philadelphia Working Paper No. 14-6.

Chetty, R. (2008): “Moral Hazard versus Liquidity and Optimal Unemployment Insurance,” Journal of Political Economy, 116, 173–234.

Christensen, B. J., R. Lentz, D. T. Mortensen, G. R. Neumann, and A. Werwatz (2005): “Onthe-job Search and the Wage Distribution,” Journal of Labor Economics, 23, 31–58.

DeLoach, S. B. and M. Kurt (2013): “Discouraging Workers: Estimating the Impacts of Macroeconomic Shocks on the Search Intensity of the Unemployed,” Journal of Labor Research, 34, 433–454.

den Haan, W. J., G. Ramey, and J. Watson (2000): “Job Destruction and Propagation of Shocks,” American Economic Review, 90, 482–498.

Di Maggio, M. and A. Kermani (2016): “The Importance of Unemployment Insurance as an Automatic Stabilizer,” Working Paper.

Fujita, S.(2010): “Effects of the UI Benefit Extensions: Evidence from the CPS,”FRB Philadelphia Working Paper No. 10-35/R.

Fujita (2012): “Declining Labor Turnover and Turbulence,” Federal Reserve Bank of Philadelphia Research Working Papers No. 11-44/R.

Golosov, M., P. Maziero, and G. Menzio (2013): “Taxation and Redistribution of Residual Income Inequality,” Journal of Political Economy, 121, 1160–1204.

Gomme, P. and D. Lkhagvasuren(2015): “Worker Search Effort as an Amplification Mechanism,”Journal of Monetary Economics, 75, 106–122.

Hagedorn, M., F. Karahan, I. Manovskii, and K. Mitman (2013): “Unemployment Benefits and Unemployment in the Great Recession: The Role of Macro Effects,” National Bureau of Economic Research Working Papers 19499.

Hagedorn, M. and I. Manovskii (2008): “The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited,” American Economic Review, 98, 1692–1706.

Hagedorn, M., I. Manovskii, and K. Mitman(2015): “The Impact of Unemployment Benefit Extensions on Employment: The 2014 Employment Miracle?” National Bureau of Economic Research Working Papers 20884.

Hall, R. E. and P. R. Milgrom (2008): “The Limited Influence of Unemployment on the Wage Bargain,” American Economic Review, 98, 1653–1674.

Heathcote, J. and F. Perri (2015): “Wealth and Volatility,” National Bureau of Economic Research Working Papers 20994.

Herkenhoff, K. (2015): “The Impact of Consumer Credit Access on Unemployment,” Working Paper.

Hopenhayn, H. A. and J. P. Nicolini (1997): “Optimal Unemployment Insurance,” Journal of Political Economy, 105, 412–438.

Jung, P. and K. Kuester (2015): “Optimal Labor-Market Policy in Recessions,” American Economic Journal: Macroeconomics, 7, 124–156.

Kekre, R. (2015): “Unemployment Insurance in Macroeconomic Stabilization,” Working Paper.

Klein, P., P. Krusell, and J.-V. Ríos-Rull (2008): “Time-Consistent Public Policy,” Review of Economic Studies, 75, 789–808.

Klein, P. and J.-V. Ríos-Rull (2003): “Time-Consistent Optimal Fiscal Policy,” International Economic Review, 44, 1217–1246.

Kroft, K. and M. J. Notowidiglo (2015): “Should Unemployment Insurance Vary with the Unemployment Rate? Theory and Evidence,” Review of Economic Studies, Forthcoming.

Krueger, A. and B. Meyer (2002): “Labor Supply Effects of Social Insurance,” in Handbook of Public Economics, ed. by A. Auerbach and M. Feldstein, Amsterdam: North-Holland.

Krusell, P., T. Mukoyama, and A. Sahin(2010): “Labour-Market Matching with Precautionary Savings and Aggregate Fluctuations,” Review of Economic Studies, 77, 1477–1507.

Landais, C., P. Michaillat, and E. Saez (2010): “A Macroeconomic Theory of Optimal Unemployment Insurance,” National Bureau of Economic Research Working Papers 16526.

Lise, J. (2013): “On-the-job Search and Precautionary Savings,” Journal of Labor Economics, 80, 1086–1113.

McGrattan, E. R. and E. C. Prescott (2010): “Unmeasured Investment and the Puzzling US Boom in the 1990s,” American Economics Journal: Macroeconomics, 2, 88–123.

McGrattan, E. R. and E. C. Prescott (2014): “A Reassessment of Real Business Cycle Theory,” American Economic Review: Papers & Proceedings, 104, 177–182.

Mitman, K. and S. Rabinovich (2015): “Optimal Unemployment Insurance in an Equilibrium Business Cycle Model,” Journal of Monetary Economics, 71, 99–118.

Mitman, K. and S. Rabinovich (2016): “Do Unemployment Benefit Extensions Explain the Emergence of Jobless Recoveries?” Working Paper.

Mukoyama, T., C. Patterson, and A. Şahin (2006): “Job Search Behavior over the Business Cycle,” Federal Reserve Bank of New York Staff Reports No. 689.

Nakajima, M.(2012): “A Quantitative Analysis of Unemployment Benefit Extensions,” Journal of Monetary Economics, 59, 686–702.

Rothstein, J. (2011): “Unemployment Insurance and Job Search in the Great Recession,” Working Paper.

Shimer, R. (2004): “Search Intensity,” Mimeo.

Shimer, R. (2005): “The Cyclical Behavior of Equilibrium Unemployment and Vacancies,” American Economic Review, 95, 25–49.

Shimer, R. (2012): “Wage Rigidities and Jobless Recoveries,” Journal of Monetary Economics, 59, S65–S77.

Shimer, R. and I. Werning (2007): “Liquidity and Insurance for the Unemployed,” American Economic Review, 98, 1922–1942.

Shimer, R. and I. Werning (2008): “Reservation Wages and Unemployment Insurance,” Quarterly Journal of Economics, 122, 1145–1185.

Stock, J. and M. Watson (2012): “Disentangling the Channels of the 2007-2009 Recession,” National Bureau of Economic Research Working Papers 18094.

Wang, C. and S. D. Williamson (2002): “Moral Hazard, Optimal Unemployment Insurance, and Experience Rating,” Journal of Monetary Economics, 49, 1337–1371.

Whittaker, J. M. and K. P. Isaacs (2013): “Unemployment Insurance: Programs and Benefits,” CRS Report for Congress, Congressional Research Service.

Yared, P. (2010): “Taxes and Debt,” Review of Economic Studies, 77, 806–840.

Yashiv, E. (2000): “The Determinants of Equilibrium Unemployment,” American Economic Review, 90, 1297–1322.

Zhang, H., A. R. Conn, and K. Scheinberg (2010): “A Derivative-Free Algorithm for Least-Squares Minimization,” SIAM Journal on Optimization, 20, 3555–3576.