[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp14006.html
   My bibliography  Save this paper

Estimating Production Functions in Differentiated-Product Industries with Quantity Information and External Instruments

Author

Listed:
  • de Roux, Nicolás

    (Universidad de los Andes)

  • Eslava, Marcela

    (Universidad de los Andes)

  • Franco, Santiago

    (University of Chicago)

  • Verhoogen, Eric

    (Columbia University)

Abstract
This paper develops a new method for estimating production-function parameters that can be applied in differentiated-product industries with endogenous quality and variety choice. We take advantage of data on physical quantities of outputs and inputs from the Colombian manufacturing survey, focusing on producers of rubber and plastic products. Assuming constant elasticities of substitution of outputs and inputs within firms, we aggregate from the firm-product to the firm level and show how quality and variety choices may bias standard estimators. Using real exchange rates and variation in the "bite" of the national minimum wage, we construct external instruments for materials and labor choices. We implement a simple two-step instrumental-variables method, first estimating a difference equation to recover the materials and labor coefficients and then estimating a levels equation to recover the capital coefficient. Under the assumption that the instruments are uncorrelated with firms' quality and variety choices, this method yields consistent estimates, free of the quality and variety biases we have identified. Our point estimates differ from those of existing methods and changes in our preferred productivity estimator perform relatively well in predicting future export growth.

Suggested Citation

  • de Roux, Nicolás & Eslava, Marcela & Franco, Santiago & Verhoogen, Eric, 2020. "Estimating Production Functions in Differentiated-Product Industries with Quantity Information and External Instruments," IZA Discussion Papers 14006, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp14006
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp14006.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kleibergen, Frank & Paap, Richard, 2006. "Generalized reduced rank tests using the singular value decomposition," Journal of Econometrics, Elsevier, vol. 133(1), pages 97-126, July.
    2. Sebastian Kripfganz & Claudia Schwarz, 2019. "Estimation of linear dynamic panel data models with time‐invariant regressors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(4), pages 526-546, June.
    3. Sanderson, Eleanor & Windmeijer, Frank, 2016. "A weak instrument F-test in linear IV models with multiple endogenous variables," Journal of Econometrics, Elsevier, vol. 190(2), pages 212-221.
    4. Ning Sun & Zaifu Yang, 2006. "Equilibria and Indivisibilities: Gross Substitutes and Complements," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, September.
    5. Daniel A. Ackerberg & Kevin Caves & Garth Frazer, 2015. "Identification Properties of Recent Production Function Estimators," Econometrica, Econometric Society, vol. 83, pages 2411-2451, November.
    6. 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.
    7. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 317-341.
    8. Gabriele Rovigatti & Vincenzo Mollisi, 2018. "Theory and practice of total-factor productivity estimation: The control function approach using Stata," Stata Journal, StataCorp LP, vol. 18(3), pages 618-662, September.
    9. Isaiah Andrews, 2018. "Valid Two-Step Identification-Robust Confidence Sets for GMM," The Review of Economics and Statistics, MIT Press, vol. 100(2), pages 337-348, May.
    10. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    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. Francesco Amodio & Nicolás de Roux, 2021. "Labor Market Power in Developing Countries: Evidence from Colombian Plants," Documentos CEDE 19267, Universidad de los Andes, Facultad de Economía, CEDE.
    2. Robert Anderton & Vasco Botelho & Paul Reimers, 2023. "Digitalisation and productivity: gamechanger or sideshow?," Discussion Papers 2023-05, University of Nottingham, GEP.
    3. Rodríguez-Castelán, Carlos & López-Calva, Luis Felipe & Barriga-Cabanillas, Oscar, 2023. "Market concentration, trade exposure, and firm productivity in developing countries: Evidence from Mexico," World Development, Elsevier, vol. 165(C).
    4. Emmanuel Dhyne & Amil Petrin & Valerie Smeets & Frederic Warzynski, 2024. "Multiproduct Firms, Import Competition and Productivity," CESifo Working Paper Series 11155, CESifo.
    5. Fieler, Ana Cecília & Harrison, Ann E., 2023. "Escaping import competition in China," Journal of International Economics, Elsevier, vol. 145(C).
    6. Andrés Álvarez & Juan Camilo Chaparro & Carolina González & Santiago Levy & Darío Maldonado & Marcela Meléndez & Natalia Ramírez & Marta Juanita Villaveces, 2022. "Reporte ejecutivo de la Misión de Empleo de Colombia," Documentos de trabajo 20156, Escuela de Gobierno - Universidad de los Andes.
    7. Norris Keiller, Agnes & de Paula, Aureo & Van Reenen, John, 2024. "Production function estimation using subjective expectations data," CEPR Discussion Papers 19259, C.E.P.R. Discussion Papers.
    8. Filippo Belloc & Edilio Valentini, 2022. "Digging into the Technological Dimension of Environmental Productivity," Working Papers 2022.29, Fondazione Eni Enrico Mattei.
    9. Jamil, Nida & Chaudhry, Theresa Thompson & Chaudhry, Azam, 2022. "Trading textiles along the new silk route: The impact on Pakistani firms of gaining market access to China," Journal of Development Economics, Elsevier, vol. 158(C).
    10. Austan Goolsbee & Chad Syverson, 2022. "The Strange and Awful Path of Productivity in the US Construction Sector," NBER Chapters, in: Technology, Productivity, and Economic Growth, National Bureau of Economic Research, Inc.
    11. Hahn, Nadine, 2024. "Product differentiation and quality in production function estimation," ZEW Discussion Papers 24-049, ZEW - Leibniz Centre for European Economic Research.
    12. Pham, Hoang, 2023. "Trade reform, oligopsony, and labor market distortion: Theory and evidence," Journal of International Economics, Elsevier, vol. 144(C).

    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. Pardesi, Mantej, 2024. "Productivity convergence and firm’s training strategy," ROA Research Memorandum 003, Maastricht University, Research Centre for Education and the Labour Market (ROA).
    2. Simon Pröll & Giannis Karagiannis & Klaus Salhofer, 2019. "Advertising and Markups: The Case of the German Brewing Industry," Working Papers 732019, University of Natural Resources and Life Sciences, Vienna, Department of Economics and Social Sciences, Institute for Sustainable Economic Development.
    3. Ackerberg, Daniel A. & Frazer, Garth & Kim, Kyoo il & Luo, Yao & Su, Yingjun, 2023. "Under-identification of structural models based on timing and information set assumptions," Journal of Econometrics, Elsevier, vol. 237(1).
    4. Eppinger, Peter S., 2019. "Service offshoring and firm employment," Journal of International Economics, Elsevier, vol. 117(C), pages 209-228.
    5. Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    6. 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.
    7. repec:zbw:inwedp:732019 is not listed on IDEAS
    8. Norbert Ernst & Michael Sigmund, 2023. "Are zombie firms really contagious? (Norbert Ernst, Michael Sigmund)," Working Papers 245, Oesterreichische Nationalbank (Austrian Central Bank).
    9. Petrick, Matin & Kloss, Mathias, 2013. "Identifying Factor Productivity from Micro-data: The case of EU agriculture," Factor Markets Working Papers 144, Centre for European Policy Studies.
    10. Paul Schrimpf & Michio Suzuki & Hiroyuki Kasahara, 2015. "Identification and Estimation of Production Function with Unobserved Heterogeneity," 2015 Meeting Papers 924, Society for Economic Dynamics.
    11. Greve, Hannes & Kis-Katos, Krisztina & Renner, Sebastian, 2021. "Energy prices, generators, and the (environmental) performance of manufacturing firms: Evidence from Indonesia," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242382, Verein für Socialpolitik / German Economic Association.
    12. Ioannis Bournakis & Mike Tsionas, 2024. "A Non‐parametric Estimation of Productivity with Idiosyncratic and Aggregate Shocks: The Role of Research and Development (R&D) and Corporate Tax," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 86(3), pages 641-671, June.
    13. Charles Ackah & Holger Görg & Aoife Hanley & Cecilia Hornok, 2024. "Africa’s businesswomen – underfunded or underperforming?," Small Business Economics, Springer, vol. 62(3), pages 1051-1074, March.
    14. Han, Minsoo & Pyun, Ju Hyun, 2021. "Markups and income inequality: Causal links, 1975-2011," Journal of Comparative Economics, Elsevier, vol. 49(2), pages 290-312.
    15. Riandy Laksono & Arianto A. Patunru, 2024. "The dynamics of labor share decline in manufacturing: Evidence from Indonesia," Departmental Working Papers 2024-3, The Australian National University, Arndt-Corden Department of Economics.
    16. Khanna, Rupika & Sharma, Chandan, 2021. "Do technological investments promote manufacturing productivity? A firm-level analysis for India," Economic Modelling, Elsevier, vol. 105(C).
    17. Jamil, Nida & Chaudhry, Theresa Thompson & Chaudhry, Azam, 2022. "Trading textiles along the new silk route: The impact on Pakistani firms of gaining market access to China," Journal of Development Economics, Elsevier, vol. 158(C).
    18. Dolores Añon Higón & Ionnanis Bournakis, 2024. "Global Value Chains (GVCs) participation and Markups," Working Papers 2403, Department of Applied Economics II, Universidad de Valencia.
    19. repec:zbw:iamodp:271870 is not listed on IDEAS
    20. Bruno Merlevede & Angelos Theodorakopoulos, 2021. "Productivity effects of internationalisation through the domestic supply chain," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(6), pages 808-832, September.
    21. Sahoo, Pradipta Kumar & Rath, Badri Narayan & Le, Viet, 2022. "Nexus between export, productivity, and competitiveness in the Indian manufacturing sector," Journal of Asian Economics, Elsevier, vol. 79(C).
    22. Pardesi, Mantej, 2024. "Productivity Convergence and Firm’s Training Strategy," Research Memorandum 003, Maastricht University, Graduate School of Business and Economics (GSBE).

    More about this item

    Keywords

    production-function estimation; quality; variety; external instruments;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O14 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Industrialization; Manufacturing and Service Industries; Choice of Technology
    • L65 - Industrial Organization - - Industry Studies: Manufacturing - - - Chemicals; Rubber; Drugs; Biotechnology; Plastics

    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:iza:izadps:dp14006. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.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.