[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/wly/iecrev/v57y2016i2p665-690.html
   My bibliography  Save this article

Production Function Estimation With Unobserved Input Price Dispersion

Author

Listed:
  • Paul L. E. Grieco
  • Shengyu Li
  • Hongsong Zhang
Abstract
We propose a method to consistently estimate production functions in the presence of input price dispersion when intermediate input quantities are not observed. We find that the traditional approach to dealing with unobserved input quantities—using deflated expenditure as a proxy—substantially biases the production estimates. In contrast, our method controls for heterogeneous input prices by exploiting the first‐order conditions of the firm's profit maximization problem and consistently recovers the production function parameters. Using our preferred method, we provide empirical evidence of significant input price dispersion and even wider productivity dispersion than is estimated using proxy methods.

Suggested Citation

  • Paul L. E. Grieco & Shengyu Li & Hongsong Zhang, 2016. "Production Function Estimation With Unobserved Input Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 665-690, May.
    • Handle: RePEc:wly:iecrev:v:57:y:2016:i:2:p:665-690
    DOI: 10.1111/iere.12172
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/iere.12172
    Download Restriction: no
    File URL: https://libkey.io/10.1111/iere.12172?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
    ---><---

    References listed on IDEAS

    as
    1. repec:clu:wpaper:0708-12 is not listed on IDEAS
    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. Jan De Loecker & Pinelopi K. Goldberg & Amit K. Khandelwal & Nina Pavcnik, 2016. "Prices, Markups, and Trade Reform," Econometrica, Econometric Society, vol. 84, pages 445-510, March.
    4. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    5. Enghin Atalay, 2014. "Materials Prices And Productivity," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 575-611, June.
    6. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    7. 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..
    8. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    9. Jan De Loecker & Pinelopi K. Goldberg & Amit K. Khandelwal & Nina Pavcnik, 2016. "Prices, Markups, and Trade Reform," Econometrica, Econometric Society, vol. 84, pages 445-510, March.
    10. Carmine Ornaghi, 2006. "Assessing the effects of measurement errors on the estimation of production functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 879-891.
    11. Maurice Kugler & Eric Verhoogen, 2012. "Prices, Plant Size, and Product Quality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(1), pages 307-339.
    12. 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.
    13. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-591, May.
    14. Mark Doms & Eric J. Bartelsman, 2000. "Understanding Productivity: Lessons from Longitudinal Microdata," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 569-594, September.
    15. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    16. Dennis Epple & Brett Gordon & Holger Sieg, 2010. "A New Approach to Estimating the Production Function for Housing," American Economic Review, American Economic Association, vol. 100(3), pages 905-924, June.
    17. Joe Beaulieu & Joe Mattey, 1999. "The Effects Of General Inflation And Idiosyncratic Cost Shocks On Within-Commodity Price Dispersion: Evidence From Microdata," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 205-216, May.
    18. Timothy Dunne & Mark J Roberts, 1992. "Costs, Demand, and Imperfect Competition as Determinants of Plant_level Output Prices," Working Papers 92-5, Center for Economic Studies, U.S. Census Bureau.
    19. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    20. Jeremy T. Fox & Valérie Smeets, 2011. "Does Input Quality Drive Measured Differences In Firm Productivity?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(4), pages 961-989, November.
    21. Ulrich Doraszelski & Jordi Jaumandreu, 2013. "R&D and Productivity: Estimating Endogenous Productivity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1338-1383.
    22. Roberts, Mark J & Tybout, James R, 1997. "The Decision to Export in Colombia: An Empirical Model of Entry with Sunk Costs," American Economic Review, American Economic Association, vol. 87(4), pages 545-564, September.
    23. 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.
    24. Carlos Daniel Santos, 2020. "Identifying Demand Shocks From Production Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 38(1), pages 93-106, January.
    25. 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.
    26. repec:pri:cepsud:231deloecker is not listed on IDEAS
    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. Geoffrey Barrows & Hélène Ollivier & Ariell Reshef, 2023. "Production Function Estimation with Multi-Destination Firms," CESifo Working Paper Series 10716, CESifo.
    2. Sampi Bravo,James Robert Ezequiel & Jooste,Charl & Vostroknutova,Ekaterina, 2021. "Identification Properties for Estimating the Impact of Regulation on Markups and Productivity," Policy Research Working Paper Series 9523, The World Bank.
    3. Emir Malikov & Shunan Zhao & Jingfang Zhang, 2024. "A System Approach to Structural Identification of Production Functions with Multi-Dimensional Productivity," Advances in Econometrics, in: Essays in Honor of Subal Kumbhakar, volume 46, pages 211-263, Emerald Group Publishing Limited.
    4. Kritikos, Alexander S. & Schiersch, Alexander & Stiel, Caroline, 2021. "The Productivity Puzzle in Business Services," IZA Discussion Papers 14610, Institute of Labor Economics (IZA).
    5. James Harrigan & Ariell Reshef & Farid Toubal, 2018. "Techies, Trade, and Skill-Biased Productivity," NBER Working Papers 25295, National Bureau of Economic Research, Inc.
    6. Paul L. E. Grieco & Shengyu Li & Hongsong Zhang, 2022. "Input prices, productivity, and trade dynamics: long‐run effects of liberalization on Chinese paint manufacturers," RAND Journal of Economics, RAND Corporation, vol. 53(3), pages 516-560, September.
    7. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Cédric Duprez & Glenn Magerman & Marijn Verschelde, 2021. "Structural Identification of Productivity under Biased Technological Change∗," Working Papers ECARES 2021-28, ULB -- Universite Libre de Bruxelles.
    8. van Heuvelen, Gerrit Hugo & Bettendorf, Leon & Meijerink, Gerdien, 2021. "Markups in a dual labour market: The case of the Netherlands," International Journal of Industrial Organization, Elsevier, vol. 77(C).
    9. Hashemi, Arshia & Kirov, Ivan & Traina, James, 2022. "The production approach to markup estimation often measures input distortions," Economics Letters, Elsevier, vol. 217(C).
    10. Jonathan Hambur, 2023. "Product Market Competition and its Implications for the Australian Economy," The Economic Record, The Economic Society of Australia, vol. 99(324), pages 32-57, March.
    11. Murray Leclair, Emmanuel, 2024. "Balancing Production and Carbon Emissions with Fuel Substitution," MPRA Paper 121139, University Library of Munich, Germany.
    12. Nelli Valmari, 2023. "Estimating Production Functions of Multiproduct Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(6), pages 3315-3342.
    13. 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).
    14. Mauro Caselli & Arpita Chatterjee & Shengyu Li, 2023. "Productivity and Quality of Multi-product Firms," Discussion Papers 2023-10, School of Economics, The University of New South Wales.
    15. Li, Tong & Sasaki, Yuya, 2024. "Identification of heterogeneous elasticities in gross-output production functions," Journal of Econometrics, Elsevier, vol. 238(2).
    16. Jared Hutchins & Yating Gong & Xiaodong Du, 2024. "The role of animal breeding in productivity growth: Evidence from Wisconsin dairy farms," American Journal of Agricultural Economics, John Wiley & Sons, vol. 106(1), pages 286-305, January.
    17. Alexander S. Kritikos & Alexander Schiersch & Caroline Stiel, 2022. "The productivity shock in business services," Small Business Economics, Springer, vol. 59(3), pages 1273-1299, October.
    18. Shunan Zhao & Bing Qian & Subal C. Kumbhakar, 2020. "Estimation of productivity and markups with price dispersion: Evidence from Chinese manufacturing during economic transition," Southern Economic Journal, John Wiley & Sons, vol. 87(2), pages 666-699, October.
    19. Eisenberg, Tom, 2024. "Missing data and the effects of market deregulation: Evidence from Chinese coal power," International Journal of Industrial Organization, Elsevier, vol. 93(C).
    20. Scott E. Atkinson & Rong Luo, 2024. "Estimation Of Production Technologies With Output And Environmental Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 65(2), pages 755-780, May.
    21. Fei Jia & Minjie Huang & Shunan Zhao, 2024. "Estimation of endogenous firm productivity without instruments: an application to foreign investment," Journal of Productivity Analysis, Springer, vol. 61(2), pages 135-155, April.
    22. Emir Malikov & Jingfang Zhang & Shunan Zhao & Subal C. Kumbhakar, 2023. "Accounting for Cross-Location Technological Heterogeneity in the Measurement of Operations Efficiency and Productivity," Papers 2302.13430, arXiv.org.

    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. Paul Grieco & Hongsong Zhang & Shengyu Li, 2018. "Input Prices, Productivity and Trade Dynamics: Long-run Effects of Liberalization on Chinese Paint Manufactures," 2018 Meeting Papers 874, Society for Economic Dynamics.
    2. Paul L. E. Grieco & Shengyu Li & Hongsong Zhang, 2022. "Input prices, productivity, and trade dynamics: long‐run effects of liberalization on Chinese paint manufacturers," RAND Journal of Economics, RAND Corporation, vol. 53(3), pages 516-560, September.
    3. Mauro Caselli & Arpita Chatterjee & Shengyu Li, 2023. "Productivity and Quality of Multi-product Firms," Discussion Papers 2023-10, School of Economics, The University of New South Wales.
    4. 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.
    5. Smeets, Valerie & Warzynski, Frederic, 2013. "Estimating productivity with multi-product firms, pricing heterogeneity and the role of international trade," Journal of International Economics, Elsevier, vol. 90(2), pages 237-244.
    6. Maican, Florin & Orth, Matilda, 2015. "A dynamic analysis of entry regulations and productivity in retail trade," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 67-80.
    7. 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.
    8. David C. Maré, 2016. "Urban Productivity Estimation with Heterogeneous Prices and Labour," Working Papers 16_21, Motu Economic and Public Policy Research.
    9. Alvaro Garcia-Marin & Nico Voigtländer, 2019. "Exporting and Plant-Level Efficiency Gains: It's in the Measure," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1777-1825.
    10. repec:wsr:wpaper:y:2016:i:165 is not listed on IDEAS
    11. Ulf Lewrick & Lukas Mohler & Rolf Weder, 2014. "When firms and industries matter: understanding the sources of productivity growth," BIS Working Papers 469, Bank for International Settlements.
    12. 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.
    13. 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.
    14. Richter, Philipp M. & Schiersch, Alexander, 2017. "CO2 emission intensity and exporting: Evidence from firm-level data," European Economic Review, Elsevier, vol. 98(C), pages 373-391.
    15. Cassiman, Bruno & ,, 2013. "Profiting from Innovation: Firm Level Evidence on Markups," CEPR Discussion Papers 9703, C.E.P.R. Discussion Papers.
    16. Maican, Florin & Orth, Matilda, 2021. "Determinants of economies of scope in retail," International Journal of Industrial Organization, Elsevier, vol. 75(C).
    17. Simone Lenzu & Francesco Manaresi, 2019. "Sources and implications of resource misallocation: new evidence from firm-level marginal products and user costs," Questioni di Economia e Finanza (Occasional Papers) 485, Bank of Italy, Economic Research and International Relations Area.
    18. Tewodros Ayenew Wassie, 2019. "Revisiting the Causal Effects of Exporting on Productivity: Does Price Heterogeneity Matter?," Journal of Industry, Competition and Trade, Springer, vol. 19(2), pages 185-210, June.
    19. Andrea Pozzi & Fabiano Schivardi, 2016. "Demand or productivity: what determines firm growth?," RAND Journal of Economics, RAND Corporation, vol. 47(3), pages 608-630, August.
    20. Zhang, Hongsong, 2019. "Non-neutral technology, firm heterogeneity, and labor demand," Journal of Development Economics, Elsevier, vol. 140(C), pages 145-168.
    21. 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).

    More about this item

    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:wly:iecrev:v:57:y:2016:i:2:p:665-690. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/deupaus.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.