Productivity Shocks, Long-Term Contracts, and Earnings Dynamics
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This paper examines how employer- and worker-specific productivity shocks transmit to earnings and employment. We develop an equilibrium search model and characterize the optimal contract offered by firms. Risk-neutral firms provide partial insurance against shocks to risk-averse workers and offer contingent contracts, where payments are backloaded in good times and frontloaded in bad times. The model is estimated on matched employer-employee data from Sweden. Firms absorb persistent worker and firm shocks, with respective passthrough values of 26 and 10 percent. We evaluate the effects of redistributive policies and find that 30 percent of government insurance is undone by crowding out firm insurance. (JEL D86, H23, J24, J31, J41, J62)
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Balke and Lamadon (2022) estimate pass-through rates of 26% for worker-specific and 10% for firm-specific productivity shocks using matched employer-employee data from Sweden.
“For example, Balke and Lamadon (2022) estimate pass-through rates of 26% for worker-specific and 10% for firm-specific productivity shocks using matched employer-employee data from Sweden.”
From Still Waters, Rapid Currents: Early Labor Market Transformation under Generative AI (2025) · cites this paper as Balke and Lamadon (2022)
The Abstract states that the model uses matched employer–employee data from Sweden. The Introduction and 'Decomposing earnings variances' section give the preferred pass-through estimates as 27% for worker shocks and 11% for firm shocks, not the claimed 26% and 10%. Page numbers were not available in our copy. (LLM, conf=0.90)
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- Abowd, J. M., and D. Card (1989): "On the covariance structure of earnings and hours changes," Econometrica, 57(2), 411-445.
- Ábrahám, A., and N. Pavoni (2008): "E cient Allocations with Moral Haz- ard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, 11(4), 781-803.
- Abreu, D., D. Pearce, and E. Stacchetti (1986): "Optimal cartel equilib- ria with imperfect monitoring," Journal of Economic Theory, 39(1), 251-269.
- Altonji, J. G., A. Smith, and I. Vidangos (2013): "Modeling earnings dynamics," Econometrica, 81(4), 1395-1454.
- Andrews, I., M. Gentzkow, and J. M. Shapiro (2017): "Measuring the Sensitivity of Parameter Estimates to Estimation Moments," Quarterly Journal of Economics, 132(4), 1553-1592.
- Attanasio, O. P., and N. Pavoni (2011): "Risk Sharing in Private Informa- tion Models With Asset Accumulation: Explaining the Excess Smoothness of Consumption," Econometrica, 79(4), 1027-1068.
- Azariadis, C. (1975): "Implicit Contracts and Underemployment Equilibria," Journal of Political Economy, 83(6), 1183-1202.
- Bagger, J., F. Fontaine, F. Postel-Vinay, and J.-M. Robin (2014): "Tenure, Experience, Human Capital, and Wages: A Tractable Equilibrium Search Model of Wage Dynamics," American Economic Review, 104(6), 1551- 96.
- Baily, M. N. (1974): "Wages and employment under uncertain demand," The Review of Economic Studies, 41(1), 37-50.
- Blundell, R., L. Pistaferri, and I. Preston (2008): "Consumption In- equality and Partial Insurance," American Economic Review, 98(5), 1887- 1921.
- Burdett, K., and M. Coles (2003): "Equilibrium Wage-Tenure Contracts," Econometrica, 71(5), 1377-1404.
- Burdett, K., S. Shi, and R. Wright (2001): "Pricing and Matching with Frictions," Journal of Political Economy, 109(5), 1060-1085.
- Card, D., A. R. Cardoso, J. Heining, and P. Kline (2018): "Firms and labor market inequality: Evidence and some theory," Journal of Labor Economics, 36(S1), S13-S70.
- Carlsson, M., J. Messina, and O. N. Skans (2016): "Wage adjustment and productivity shocks," The Economic Journal, 126(595), 1739-1773.
- Chiappori, P., B. Salanie, and J. Valentin (1999): "Early Starters versus Late Beginners," Journal of Political Economy, 107(4), 731-760.
- Cole, H., and F. Kubler (2012): "Recursive contracts, lotteries and weakly concave Pareto sets," Rev. Econ. Dyn., 15(4), 479-500.
- Dardanoni, V. (1995): "Income distribution dynamics: monotone Markov chains make light work," Soc. Choice Welfare, 12(2), 181-192.
- Farhi, E., and I. Werning (2013): "Insurance and taxation over the life cycle," Review of Economic Studies, 80(2), 596-635.
- Guiso, L., L. Pistaferri, and F. Schivardi (2005): "Insurance within the Firm," Journal of Political Economy, 113(5), 1054-1087.
- Harris, M., and B. Holmstrom (1982): "A Theory of Wage Dynamics," The Review of Economic Studies, 49(3), 315-333.
- Heathcote, J., K. Storesletten, and G. L. Violante (2014): "Con- sumption and labor supply with partial insurance: An analytical framework," American Economic Review, 104(7), 2075-2126.
- Holmstrom, B., and P. Milgrom (1991): "Multitask Principal-Agent Anal- yses: Incentive Contracts, Asset Ownership, and Job Design," Journal of Law, Economics, & Organization, 7, 24-52.
- Hopenhayn, H. A., and J. P. Nicolini (1997): "Optimal Unemployment Insurance," Journal of Political Economy, 105(2), 412-438.
- Hornstein, A., P. Krusell, and G. L. Violante (2011): "Frictional wage dispersion in search models: A quantitative assessment," American Economic Review, 101(7), 2873-98.
- Hu, Y., and M. Shum (2012): "Nonparametric identification of dynamic mod- els with unobserved state variables," Journal of Econometrics, 171(1), 32-44.
- Knight, F. H. (1921): Risk, uncertainty and profit, vol. 31. Houghton Mi in.
- Kocherlakota, N. R. (1996): "Implications of E cient Risk Sharing without Commitment," The Review of Economic Studies, 63(4), 595-609.
- Lemieux, T., W. B. MacLeod, and D. Parent (2009): "Performance pay and wage inequality," The Quarterly Journal of Economics, 124(1), 1-49.
- Lise, J., C. Meghir, and J.-M. Robin (2016): "Matching, sorting and wages," Review of Economic Dynamics, 19, 63-87.
- Low, H., C. Meghir, and L. Pistaferri (2010): "Wage Risk and Em- ployment Risk over the Life Cycle," American Economic Review, 100(4), 1432-1467.
- MacLeod, W. B., and J. M. Malcomson (1989): "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, 57(2), 447-480.
- MaCurdy, T. E. (1982): "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, 18(1), 83-114.
- Marcet, A., and R. Marimon (2019): "Recursive contracts," Econometrica, 87(5), 1589-1631.
- Meghir, C., and L. Pistaferri (2004): "Income Variance Dynamics and Heterogeneity," Econometrica, 72(1), 1-32.
- Menzio, G., and S. Shi (2010): "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, 145(4), 1453- 1494. (2011): "E cient Search on the Job and the Business Cycle," Journal of Political Economy, 119(3), 468-510.
- Messner, M., N. Pavoni, and C. Sleet (2012): "Recursive methods for incentive problems," Rev. Econ. Dyn., 15(4), 501-525.
- Moen, E. R. (1997): "Competitive Search Equilibrium," Journal of Political Economy, 105(2), 385-411.
- Montgomery, J. D. (1991): "Equilibrium Wage Dispersion and Interindustry Wage Di erentials," The Quarterly Journal of Economics, 106(1), 163-179.
- Peters, M. (1991): "Ex Ante Price O ers in Matching Games Non-Steady States," Econometrica, 59(5), 1425-1454.
- Postel-Vinay, F., and J.-M. Robin (2002): "Equilibrium wage dispersion with worker and employer heterogeneity," Econometrica, 70(6), 2295-2350. (2004): "To match or not to match?: Optimal wage policy with endoge- nous worker search intensity," Review of Economic Dynamics, 7(2), 297-330.
- Prescott, E. C., and R. M. Townsend (1984): "General competitive anal- ysis in an economy with private information," International Economic Review, pp. 1-20.
- Rogerson, W. P. (1985): "Repeated Moral Hazard," Econometrica, 53(1), 69-76.
- Roys, N. (2016): "Persistence of shocks and the reallocation of labor," Review of Economic Dynamics, 22, 109-130.
- Rudanko, L. (2009): "Labor market dynamics under long-term wage contract- ing," Journal of Monetary Economics, 56(2), 170-183.
- Schaal, E. (2017): "Uncertainty and unemployment," Econometrica, 85(6), 1675-1721.
- Shi, S. (2009): "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, 77(2), 561-584.
- Shimer, R. (2005): "The assignment of workers to jobs in an economy with coordination frictions," Journal of Political Economy, 113(5), 996-1025.
- Spear, S. E., and S. Srivastava (1987): "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, 54(4), 599-617.
- Stevens, M. (2004): "Wage-tenure contracts in a frictional labour market: Firms' strategies for recruitment and retention," The Review of Economic Studies, 71(2), 535-551.
- Stokey, N. L., R. Lucas, and E. Prescott (1989): "Recursive methods in dynamic economics," Cambridge, MA: Harvard University.
- Thomas, J., and T. Worrall (1988): "Self-enforcing wage contracts," The Review of Economic Studies, 55(4), 541-554.
- Tsuyuhara, K. (2016): "Dynamic Contracts with Worker Mobility via Di- rected On-the-Job Search," International Economic Review, 57(4), 1405- 1424.
Cited by
Sorted by citations
Still Waters, Rapid Currents: Early Labor Market Transformation under Generative AI
Humlum, A., & Vestergaard, E. (2025) · doi:10.3386/w33777 · Cited by 34 · see citing works
- Authors
- Balke, N., & Lamadon, T.
- Affiliations
- University of Chicago (US)
- Venue
- American Economic Review
- Publisher
- American Economic Association
- Published
- 2022-07-01
- Volume
- 112
- Issue
- 7
- Pages
- 2139-2177
- ISSN
- 0002-8282 (ISSN-L)
- OpenAlex
- W4226038371
- Cited by
- 53
- References
- 0
- Citations by year
- 2026: 10 · 2025: 10 · 2024: 11 · 2023: 11 · 2022: 5 · 2021: 1 · 2020: 2 · 2019: 1 · 2018: 2
- FWCI
- 7.44
- Type
- journal article
- Language
- en
- Open access
- Locations
- American Economic Review (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Econstor (Econstor) (submittedVersion)
- Funders
- National Science Foundation (1658920)
- Institutet för arbetsmarknads- och utbildningspolitisk politisk utvärdering
- Economic and Social Research Council
- Topics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Labor market dynamics and wage inequality
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Economic theories and models
- Social Sciences › Economics, Econometrics and Finance › General Economics, Econometrics and Finance › Global trade and economics
- Keywords
- productivity shocks, long-term employment contracts, earnings dynamics, contingent contracts, risk-averse workers, public insurance, crowding out, redistribution
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