IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/28060.html
   My bibliography  Save this paper

Productivity Shocks, Long-Term Contracts and Earnings Dynamics

Author

Listed:
  • Neele Balke
  • Thibaut Lamadon

Abstract

This paper examines how employer- and worker-specific productivity shocks transmit to earnings and employment in an economy with search frictions and firm commitment. We develop an equilibrium search model with worker and firm shocks and characterize the optimal contract offered by competing firms to attract and retain workers. In equilibrium, risk-neutral firms provide only partial insurance against shocks to risk-averse workers and offer contingent contracts, where payments are backloaded in good times and frontloaded in bad times. We prove that there exists a unique spot target wage, which serves as an attraction point for smooth wage adjustments. The structural model is estimated on matched employer-employee data from Sweden. The estimates indicate that firms absorb persistent worker and firm shocks, with respective passthrough values of 27 and 11%, but price permanent worker differences, a large contributor (32%) to variations in wages. A large share of the earnings growth variance can be attributed to job mobility, which interacts with productivity shocks. We evaluate the effects of redistributive policies and find that almost 40% of government-provided insurance is undone by crowding out firm-provided insurance.

Suggested Citation

  • Neele Balke & Thibaut Lamadon, 2020. "Productivity Shocks, Long-Term Contracts and Earnings Dynamics," NBER Working Papers 28060, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:28060
    Note: EFG LS
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w28060.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matthias Messner & Nicola Pavoni & Christopher Sleet, 2012. "Recursive Methods for Incentive Problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(4), pages 501-525, October.
    2. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    3. Pierre-Andre Chiappori & Bernard Salanie & Julie Valentin, 1999. "Early Starters versus Late Beginners," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 731-760, August.
    4. Joseph G. Altonji & Anthony A. Smith Jr. & Ivan Vidangos, 2013. "Modeling Earnings Dynamics," Econometrica, Econometric Society, vol. 81(4), pages 1395-1454, July.
    5. Orazio P. Attanasio & Nicola Pavoni, 2011. "Risk Sharing in Private Information Models With Asset Accumulation: Explaining the Excess Smoothness of Consumption," Econometrica, Econometric Society, vol. 79(4), pages 1027-1068, July.
    6. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
    7. Luigi Guiso & Luigi Pistaferri & Fabiano Schivardi, 2005. "Insurance within the Firm," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 1054-1087, October.
    8. David Card & Ana Rute Cardoso & Joerg Heining & Patrick Kline, 2018. "Firms and Labor Market Inequality: Evidence and Some Theory," Journal of Labor Economics, University of Chicago Press, vol. 36(S1), pages 13-70.
    9. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    10. Hamish Low & Costas Meghir & Luigi Pistaferri, 2010. "Wage Risk and Employment Risk over the Life Cycle," American Economic Review, American Economic Association, vol. 100(4), pages 1432-1467, September.
    11. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    12. Benjamin Friedrich & Costas Meghir & Lisa Laun & Luigi Pistaferri, 2018. "Earnings Dynamics and Firm-Level Shocks," 2018 Meeting Papers 536, Society for Economic Dynamics.
    13. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    14. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
    15. Jesper Bagger & Francois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages," SciencePo Working papers Main hal-01301431, HAL.
    16. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    17. Harold Cole & Felix Kubler, 2012. "Recursive Contracts, Lotteries and Weakly Concave Pareto Sets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(4), pages 479-500, October.
    18. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    19. Hu, Yingyao & Shum, Matthew, 2012. "Nonparametric identification of dynamic models with unobserved state variables," Journal of Econometrics, Elsevier, vol. 171(1), pages 32-44.
    20. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    21. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November.
    22. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 596-635.
    23. Nicolas Roys, 2016. "Persistence of Shocks and the Reallocation of Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 22, pages 109-130, October.
    24. Holmstrom, Bengt & Milgrom, Paul, 1991. "Multitask Principal-Agent Analyses: Incentive Contracts, Asset Ownership, and Job Design," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(0), pages 24-52, Special I.
    25. Jesper Bagger & Fran?ois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, American Economic Association, vol. 104(6), pages 1551-1596, June.
    26. Kunio Tsuyuhara, 2016. "Dynamic Contracts With Worker Mobility Via Directed On‐The‐Job Search," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 1405-1424, November.
    27. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    28. Andreas Hornstein & Per Krusell & Giovanni L. Violante, 2011. "Frictional Wage Dispersion in Search Models: A Quantitative Assessment," American Economic Review, American Economic Association, vol. 101(7), pages 2873-2898, December.
    29. Thomas Lemieux & W. Bentley MacLeod & Daniel Parent, 2009. "Performance Pay and Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 1-49.
    30. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    31. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    32. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    33. Martin Neil Baily, 1974. "Wages and Employment under Uncertain Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 37-50.
    34. Isaiah Andrews & Matthew Gentzkow & Jesse M. Shapiro, 2017. "Measuring the Sensitivity of Parameter Estimates to Estimation Moments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 1553-1592.
    35. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-445, March.
    36. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    37. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    38. Edouard Schaal, 2017. "Uncertainty and Unemployment," Econometrica, Econometric Society, vol. 85(6), pages 1675-1721, November.
    39. Azariadis, Costas, 1975. "Implicit Contracts and Underemployment Equilibria," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1183-1202, December.
    40. 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.
    41. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    42. Margaret Stevens, 2004. "Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 535-551.
    43. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    44. Hall, Robert E & Mishkin, Frederic S, 1982. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," Econometrica, Econometric Society, vol. 50(2), pages 461-481, March.
    45. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    46. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    47. Rudanko, Leena, 2009. "Labor market dynamics under long-term wage contracting," Journal of Monetary Economics, Elsevier, vol. 56(2), pages 170-183, March.
    48. repec:hal:spmain:info:hdl:2441/7rep5mp5ij95l94ec64n5tdclp is not listed on IDEAS
    49. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    50. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    51. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Luigi Guiso & Luigi Pistaferri, 2020. "The insurance role of the firm," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 45(1), pages 1-23, March.
    2. Christine Blandhol & Magne Mogstad & Peter Nilsson & Ola L. Vestad, 2020. "Do Employees Benefit from Worker Representation on Corporate Boards?," Working Papers 2020-183, Becker Friedman Institute for Research In Economics.
    3. Engbom, Niklas & Moser, Christian & Sauermann, Jan, 2023. "Firm pay dynamics," Journal of Econometrics, Elsevier, vol. 233(2), pages 396-423.
    4. Bernardus Van Doornik & Dimas Fazio & David Schoenherr & Janis Skrastins, 2022. "Unemployment Insurance as a Subsidy to Risky Firms," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5535-5595.
    5. Maibom, Jonas & Vejlin, Rune Majlund, 2021. "Passthrough of Firm Performance to Income and Employment Stability," IZA Discussion Papers 14131, Institute of Labor Economics (IZA).
    6. Borys Grochulski & Russell Wong & Yuzhe Zhang, 2017. "Optimal Incentive Contracts with Job Destruction Risk," Working Paper 17-11, Federal Reserve Bank of Richmond.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Balke, Neele & Lamadon, Thibaut, 2021. "Productivity shocks, long-term contracts and earnings dynamics," Working Paper Series 2021:19, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    2. Thibaut Lamadon, 2014. "Productivity Shocks, Dynamic Contracts and Income Uncertainty," 2014 Meeting Papers 243, Society for Economic Dynamics.
    3. Joseph Altonji & Disa Hynsjo & Ivan Vidangos, 2023. "Individual Earnings and Family Income: Dynamics and Distribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 225-250, July.
    4. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    5. Jesper Bagger & Fran?ois Fontaine & Fabien Postel-Vinay & Jean-Marc Robin, 2014. "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, American Economic Association, vol. 104(6), pages 1551-1596, June.
    6. Guido Menzio & Irina Telyukova & Ludo Visschers, 2016. "Directed Search over the Life Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 38-62, January.
    7. Victoria Gregory, 2020. "Firms as Learning Environments: Implications for Earnings Dynamics and Job Search," Working Papers 2020-036, Federal Reserve Bank of St. Louis, revised Sep 2023.
    8. Kevin Fawcett & Shouyong Shi, 2018. "Learning, On-the-Job Search and Wage-Tenure Contracts," Working Papers tecipa-597, University of Toronto, Department of Economics.
    9. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    10. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    11. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    12. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting, and Wages," SciencePo Working papers hal-03392023, HAL.
    13. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
    14. repec:spo:wpmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    15. Ran Gu, 2023. "Human Capital and the Business Cycle Effects on the Postgraduate Wage Premium," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 48, pages 345-376, April.
    16. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    17. Simon Jäger & Benjamin Schoefer & Samuel Young & Josef Zweimüller, 2020. "Wages and the Value of Nonemployment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(4), pages 1905-1963.
    18. Leena Rudanko, 2008. "Aggregate and Idiosyncratic Risk in a Frictional Labor Market," Boston University - Department of Economics - Working Papers Series wp2008-009, Boston University - Department of Economics.
    19. Meghir, Costas & Pistaferri, Luigi, 2011. "Earnings, Consumption and Life Cycle Choices," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 9, pages 773-854, Elsevier.
    20. repec:hal:journl:hal-01070442 is not listed on IDEAS
    21. Pietro Garibaldi & Espen Moen & Dag-Einar Sommervoll, 2016. "Competitive On-the-job Search," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 88-107, January.
    22. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    23. Eric Smith & Carlos Carrillo Tudela, 2007. "Wage Dispersion and Wage Dynamics Within and Across Firms," 2007 Meeting Papers 615, Society for Economic Dynamics.

    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
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:28060. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.