IDEAS home Printed from https://ideas.repec.org/a/eee/moneco/v121y2021icp1-14.html
   My bibliography  Save this article

Some unpleasant markup arithmetic: Production function elasticities and their estimation from production data

Author

Listed:
  • Bond, Steve
  • Hashemi, Arshia
  • Kaplan, Greg
  • Zoch, Piotr

Abstract

The ratio estimator of the markup is the ratio of the output elasticity for a flexible input to that input’s cost share in total revenue. We highlight identification and estimation issues pertaining to this ratio estimator, when firm-level output prices are not observed. If the revenue elasticity for a flexible input is used in place of the output elasticity, then profit maximization implies that the ratio estimator is identically equal to one, and thus is uninformative about markups. Concerning estimation of output elasticities: with only revenue data, profit maximization also implies that the output elasticity is not identified non-parametrically from estimation of the revenue production function, if firms have market power. Even with separate output price and quantity data, it is challenging to estimate the output elasticity consistently if there are non-linear productivity dynamics and firms face heterogeneous demand schedules, with unobserved variation in a demand shifter.

Suggested Citation

  • Bond, Steve & Hashemi, Arshia & Kaplan, Greg & Zoch, Piotr, 2021. "Some unpleasant markup arithmetic: Production function elasticities and their estimation from production data," Journal of Monetary Economics, Elsevier, vol. 121(C), pages 1-14.
    • Handle: RePEc:eee:moneco:v:121:y:2021:i:c:p:1-14
    DOI: 10.1016/j.jmoneco.2021.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304393221000544
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmoneco.2021.05.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jan De Loecker & Frederic Warzynski, 2012. "Markups and Firm-Level Export Status," American Economic Review, American Economic Association, vol. 102(6), pages 2437-2471, October.
    2. Jan De Loecker, 2011. "Product Differentiation, Multiproduct Firms, and Estimating the Impact of Trade Liberalization on Productivity," Econometrica, Econometric Society, vol. 79(5), pages 1407-1451, September.
    3. Stephen Bond & Måns Söderbom, 2005. "Adjustment Costs and the Identification of Cobb Douglas Production Functions," Economics Papers 2005-W04, Economics Group, Nuffield College, University of Oxford.
    4. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    5. Monika Mrázová & J. Peter Neary & Mathieu Parenti, 2021. "Sales and Markup Dispersion: Theory and Empirics," Econometrica, Econometric Society, vol. 89(4), pages 1753-1788, July.
    6. Susanto Basu, 2019. "Are Price-Cost Markups Rising in the United States? A Discussion of the Evidence," NBER Working Papers 26057, National Bureau of Economic Research, Inc.
    7. David Rezza Baqaee & Emmanuel Farhi, 2020. "Productivity and Misallocation in General Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 105-163.
    8. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    9. Klette, Tor Jakob & Griliches, Zvi, 1996. "The Inconsistency of Common Scale Estimators When Output Prices Are Unobserved and Endogenous," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(4), pages 343-361, July-Aug..
    10. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    11. Ariel Burstein & Basile Grassi & Vasco Carvalho, 2019. "Bottom-Up Markup Fluctuations," 2019 Meeting Papers 505, Society for Economic Dynamics.
    12. Jan De Loecker & Pinelopi Koujianou Goldberg, 2014. "Firm Performance in a Global Market," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 201-227, August.
    13. Daniel A. Ackerberg & Kevin Caves & Garth Frazer, 2015. "Identification Properties of Recent Production Function Estimators," Econometrica, Econometric Society, vol. 83, pages 2411-2451, November.
    14. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    15. Jan De Loecker & Jan Eeckhout & Gabriel Unger, 2020. "The Rise of Market Power and the Macroeconomic Implications [“Econometric Tools for Analyzing Market Outcomes”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 561-644.
    16. Richard Blundell & Stephen Bond, 2000. "GMM Estimation with persistent panel data: an application to production functions," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 321-340.
    17. Chad Syverson, 2019. "Macroeconomics and Market Power: Context, Implications, and Open Questions," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 23-43, Summer.
    18. Jaumandreu, Jordi & Doraszelski, Ulrich, 2019. "Using Cost Minimization to Estimate Markups," CEPR Discussion Papers 14114, C.E.P.R. Discussion Papers.
    19. Amit Gandhi & Salvador Navarro & David A. Rivers, 2020. "On the Identification of Gross Output Production Functions," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 2973-3016.
    20. Robert E. Hall, 1986. "Market Structure and Macroeconomic Fluctuations," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 17(2), pages 285-338.
    21. Hall, Robert E, 1988. "The Relation between Price and Marginal Cost in U.S. Industry," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 921-947, October.
    22. Stephen Bond & Måns Söderbom, 2005. "Adjustment Costs and the Identification of Cobb Douglas Production Functions," Economics Series Working Papers 2005-W04, University of Oxford, Department of Economics.
    23. Susanto Basu, 2019. "Are Price-Cost Markups Rising in the United States? A Discussion of the Evidence," Journal of Economic Perspectives, American Economic Association, vol. 33(3), pages 3-22, Summer.
    Full references (including those not matched with items on IDEAS)

    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. Ian Goldin & Pantelis Koutroumpis & François Lafond & Julian Winkler, 2024. "Why Is Productivity Slowing Down?," Journal of Economic Literature, American Economic Association, vol. 62(1), pages 196-268, March.
    2. Florin Maican & Matilda Orth, 2017. "Productivity Dynamics and the Role of ‘Big-Box’ Entrants in Retailing," Journal of Industrial Economics, Wiley Blackwell, vol. 65(2), pages 397-438, June.
    3. Philipp Meinen & Ana Cristina Soares, 2022. "Markups and Financial Shocks," The Economic Journal, Royal Economic Society, vol. 132(647), pages 2471-2499.
    4. Philipp R. Steinbrunner, 2023. "May It Be a Little Bit More of Market Power? On Productivity Growth and Competition," Journal of Industry, Competition and Trade, Springer, vol. 23(3), pages 123-170, December.
    5. Ensar Yılmaz & Zeynep Kaplan, 2022. "Heterogeneity of market power: firm-level evidence," Economic Change and Restructuring, Springer, vol. 55(2), pages 1207-1228, May.
    6. Dobbelaere, Sabien & Kiyota, Kozo & Mairesse, Jacques, 2015. "Product and labor market imperfections and scale economies: Micro-evidence on France, Japan and the Netherlands," Journal of Comparative Economics, Elsevier, vol. 43(2), pages 290-322.
    7. Chen Yeh & Claudia Macaluso & Brad Hershbein, 2022. "Monopsony in the US Labor Market," American Economic Review, American Economic Association, vol. 112(7), pages 2099-2138, July.
    8. Diane Coyle & John McHale & Ioannis Bournakis & Jen-Chung Mei, 2023. "Recent Trends in Firm-Level Total Factor Productivity in the United Kingdom: New Measures, New Puzzles," Working Papers 036, The Productivity Institute.
    9. Jan De Loecker & Jan Eeckhout & Gabriel Unger, 2020. "The Rise of Market Power and the Macroeconomic Implications [“Econometric Tools for Analyzing Market Outcomes”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 561-644.
    10. Díez, Federico J. & Fan, Jiayue & Villegas-Sánchez, Carolina, 2021. "Global declining competition?," Journal of International Economics, Elsevier, vol. 132(C).
    11. Amoroso, S., 2013. "Heterogeneity of innovative, collaborative, and productive firm-level processes," Other publications TiSEM f5784a49-7053-401d-855d-1, Tilburg University, School of Economics and Management.
    12. Thomas Hasenzagl & Luis Perez, 2023. "The Micro-Aggregated Profit Share," Papers 2309.12945, arXiv.org, revised Nov 2023.
    13. Hashemi, Arshia & Kirov, Ivan & Traina, James, 2022. "The production approach to markup estimation often measures input distortions," Economics Letters, Elsevier, vol. 217(C).
    14. De Loecker, Jan, 2021. "Comment on (Un)pleasant ... by Bond et al (2020)," Journal of Monetary Economics, Elsevier, vol. 121(C), pages 15-18.
    15. Bruno Merlevede & Angelos Theodorakopoulos, 2018. "Productivity Effects of Internationalisation Through the Domestic Supply Chain: Evidence from Europe," Working Papers of VIVES - Research Centre for Regional Economics 627689, KU Leuven, Faculty of Economics and Business (FEB), VIVES - Research Centre for Regional Economics.
    16. Diane Coyle & John McHale & Ioannis Bournakis & Jen-Chung Mei, 2024. "Converging to Mediocrity: Trends in Firm-Level Markups in the United Kingdom 2008-2019," Working Papers 047, The Productivity Institute.
    17. Sara Amoroso & Bertrand Melenberg & Joseph Plasmans & Mark Vancauteren, 2015. "Productivity, Price- and Wage-Markups: An Empirical Analysis of the Dutch Manufacturing Industry," CESifo Working Paper Series 5273, CESifo.
    18. Geoffrey Barrows & Hélène Ollivier & Ariell Reshef, 2023. "Production Function Estimation with Multi-Destination Firms," CESifo Working Paper Series 10716, CESifo.
    19. David Van Dijcke, 2022. "On the Non-Identification of Revenue Production Functions," Papers 2212.04620, arXiv.org, revised May 2024.
    20. Emanuele Forlani & Ralf Martin & Giordano Mion & Mirabelle Muûls, 2023. "Unraveling Firms: Demand, Productivity and Markups Heterogeneity," The Economic Journal, Royal Economic Society, vol. 133(654), pages 2251-2302.

    More about this item

    Keywords

    Markups; Output elasticity; Revenue elasticity; Production functions;
    All these keywords.

    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

    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:eee:moneco:v:121:y:2021:i:c:p:1-14. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505566 .

    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.