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Nonexistent Moments of Earnings Growth

Author

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  • Silvia Sarpietro
  • Yuya Sasaki
  • Yulong Wang

Abstract

This study addresses the limitations of traditional earnings risk measures, which often rely on moments such as variance, skewness, and kurtosis. For heavy‐tailed distributions, these moments may not exist, challenging such analyses. We propose robust conditional Pareto exponents as novel measures of earnings risk, with accompanying estimation and inference methods. Using UK NESPD and US PSID data, we find (1) moments often fail to exist; (2) tail risk rises over the life cycle; (3) job stayers face higher tail risk; and (4) these patterns persist in both the 2007–2008 recession and the 2015–2016 growth period.

Suggested Citation

  • Silvia Sarpietro & Yuya Sasaki & Yulong Wang, 2026. "Nonexistent Moments of Earnings Growth," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 41(1), pages 39-55, January.
  • Handle: RePEc:wly:japmet:v:41:y:2026:i:1:p:39-55
    DOI: 10.1002/jae.70017
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    References listed on IDEAS

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    1. Botosaru, Irene & Sasaki, Yuya, 2018. "Nonparametric heteroskedasticity in persistent panel processes: An application to earnings dynamics," Journal of Econometrics, Elsevier, vol. 203(2), pages 283-296.
    2. Manuel Arellano & Stéphane Bonhomme & Micole De Vera & Laura Hospido & Siqi Wei, 2022. "Income risk inequality: Evidence from Spanish administrative records," Quantitative Economics, Econometric Society, vol. 13(4), pages 1747-1801, November.
    3. Gardes, Laurent & Girard, Stéphane, 2008. "A moving window approach for nonparametric estimation of the conditional tail index," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2368-2388, November.
    4. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    5. Brian Bell & Nicholas Bloom & Jack Blundell, 2021. "This time is not so different: income dynamics during the Covid-19 recession," CEP Discussion Papers dp1792, Centre for Economic Performance, LSE.
    6. Xavier Gabaix, 2016. "Power Laws in Economics: An Introduction," Journal of Economic Perspectives, American Economic Association, vol. 30(1), pages 185-206, Winter.
    7. Stéphane Bonhomme & Jean-Marc Robin, 2010. "Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 491-533.
    8. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09j008g6g0g is not listed on IDEAS
    9. Geweke, John & Keane, Michael, 2000. "An empirical analysis of earnings dynamics among men in the PSID: 1968-1989," Journal of Econometrics, Elsevier, vol. 96(2), pages 293-356, June.
    10. Fatih Guvenen & Luigi Pistaferri & Giovanni L. Violante, 2022. "Global trends in income inequality and income dynamics: New insights from GRID," Quantitative Economics, Econometric Society, vol. 13(4), pages 1321-1360, November.
    11. Robert Moffitt & Sisi Zhang, 2018. "Income Volatility and the PSID: Past Research and New Results," AEA Papers and Proceedings, American Economic Association, vol. 108, pages 277-280, May.
    12. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 63-92.
    13. Christopher Busch & David Domeij & Fatih Guvenen & Rocio Madera, 2022. "Skewed Idiosyncratic Income Risk over the Business Cycle: Sources and Insurance," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(2), pages 207-242, April.
    14. Joel L. Horowitz & Marianthi Markatou, 1996. "Semiparametric Estimation of Regression Models for Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 145-168.
    15. Victor Chernozhukov & Denis Chetverikov & Mert Demirer & Esther Duflo & Christian Hansen & Whitney Newey & James Robins, 2018. "Double/debiased machine learning for treatment and structural parameters," Econometrics Journal, Royal Economic Society, vol. 21(1), pages 1-68, February.
    16. Mariacristina De Nardi & Giulio Fella & Gonzalo Paz-Pardo, 2020. "Nonlinear Household Earnings Dynamics, Self-Insurance, and Welfare," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 890-926.
    17. Yingyao Hu & Robert Moffitt & Yuya Sasaki, 2019. "Semiparametric estimation of the canonical permanent‐transitory model of earnings dynamics," Quantitative Economics, Econometric Society, vol. 10(4), pages 1495-1536, November.
    18. Mikhail Golosov & Maxim Troshkin & Aleh Tsyvinski, 2016. "Redistribution and Social Insurance," American Economic Review, American Economic Association, vol. 106(2), pages 359-386, February.
    19. Michael W. L. Elsby & Donggyun Shin & Gary Solon, 2016. "Wage Adjustment in the Great Recession and Other Downturns: Evidence from the United States and Great Britain," Journal of Labor Economics, University of Chicago Press, vol. 34(S1), pages 249-291.
    20. Trapani, Lorenzo, 2016. "Testing for (in)finite moments," Journal of Econometrics, Elsevier, vol. 191(1), pages 57-68.
    21. Armelle Guillou & Peter Hall, 2001. "A diagnostic for selecting the threshold in extreme value analysis," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 293-305.
    22. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    23. Adam, Stuart & Phillips, David & Roantree, Barra, 2019. "35 years of reforms: A panel analysis of the incidence of, and employee and employer responses to, social security contributions in the UK," Journal of Public Economics, Elsevier, vol. 171(C), pages 29-50.
    24. Maarten Goos & Alan Manning, 2007. "Lousy and Lovely Jobs: The Rising Polarization of Work in Britain," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 118-133, February.
    25. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," SciencePo Working papers hal-01027423, HAL.
    26. Huixia Judy Wang & Deyuan Li, 2013. "Estimation of Extreme Conditional Quantiles Through Power Transformation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 1062-1074, September.
    27. Henry Lahr, 2014. "An Improved Test for Earnings Management Using Kernel Density Estimation," European Accounting Review, Taylor & Francis Journals, vol. 23(4), pages 559-591, December.
    28. Wang, Hansheng & Tsai, Chih-Ling, 2009. "Tail Index Regression," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 1233-1240.
    29. Manuel Arellano & Richard Blundell & Stéphane Bonhomme, 2017. "Earnings and Consumption Dynamics: A Nonlinear Panel Data Framework," Econometrica, Econometric Society, vol. 85, pages 693-734, May.
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