IDEAS home Printed from https://ideas.repec.org/p/bca/bocawp/16-54.html
   My bibliography  Save this paper

Producer Heterogeneity, Value-Added, and International Trade

Author

Listed:
  • Patrick Alexander

Abstract

Standard new trade models depict producers as heterogeneous in total factor productivity. In this paper, I adapt the Eaton and Kortum (2002) model of international trade to incorporate tradable intermediate goods and producer heterogeneity in value-added productivity. In equilibrium, this yields a positive relationship between the international trade elasticity and the share of intermediate goods in production. This relationship is absent from the standard model and is driven by the extensive margin of trade. I then use cross-country sectoral data from 1995 to 2010 and estimate the trade elasticity, finding empirical support for this relationship and for the importance of the extensive margin. This model yields results that are similar to those of the standard model with respect to the overall magnitude of gains from trade. Importantly, however, whereas the standard model suggests that gains from trade are higher in sectors that use intermediate goods, I find that this is no longer true under the value-added heterogeneity model.

Suggested Citation

  • Patrick Alexander, 2016. "Producer Heterogeneity, Value-Added, and International Trade," Staff Working Papers 16-54, Bank of Canada.
  • Handle: RePEc:bca:bocawp:16-54
    as

    Download full text from publisher

    File URL: https://www.bankofcanada.ca/wp-content/uploads/2016/12/swp2016-54.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tasso Adamopoulos & Diego Restuccia, 2014. "The Size Distribution of Farms and International Productivity Differences," American Economic Review, American Economic Association, vol. 104(6), pages 1667-1697, June.
    2. Robert Koopman & Zhi Wang & Shang-Jin Wei, 2014. "Tracing Value-Added and Double Counting in Gross Exports," American Economic Review, American Economic Association, vol. 104(2), pages 459-494, February.
    3. Santos Silva, J.M.C. & Tenreyro, Silvana & Wei, Kehai, 2014. "Estimating the extensive margin of trade," Journal of International Economics, Elsevier, vol. 93(1), pages 67-75.
    4. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    5. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    6. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    7. Pol Antras & Davin Chor & Thibault Fally & Russell Hillberry, 2012. "Measuring the Upstreamness of Production and Trade Flows," American Economic Review, American Economic Association, vol. 102(3), pages 412-416, May.
    8. Thierry Mayer & Keith Head, 2002. "Illusory Border Effects: Distance Mismeasurement Inflates Estimates of Home Bias in Trade," Working Papers 2002-01, CEPII research center.
    9. Jean Imbs & Isabelle Mejean, 2015. "Elasticity Optimism," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 43-83, July.
    10. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(1), pages 41-62, February.
    11. Marc J. Melitz & Stephen J. Redding, 2015. "New Trade Models, New Welfare Implications," American Economic Review, American Economic Association, vol. 105(3), pages 1105-1146, March.
    12. Robert C. Johnson & Guillermo Noguera, 2012. "Fragmentation and Trade in Value Added over Four Decades," NBER Working Papers 18186, National Bureau of Economic Research, Inc.
    13. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2008. "Bootstrap-Based Improvements for Inference with Clustered Errors," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 414-427, August.
    14. Head, Keith & Mayer, Thierry & Ries, John, 2010. "The erosion of colonial trade linkages after independence," Journal of International Economics, Elsevier, vol. 81(1), pages 1-14, May.
    15. Ossa, Ralph, 2015. "Why trade matters after all," Journal of International Economics, Elsevier, vol. 97(2), pages 266-277.
    16. Levchenko, Andrei A. & Zhang, Jing, 2014. "Ricardian productivity differences and the gains from trade," European Economic Review, Elsevier, vol. 65(C), pages 45-65.
    17. Kei-Mu Yi, 2003. "Can Vertical Specialization Explain the Growth of World Trade?," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 52-102, February.
    18. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    19. Hillberry, Russell & Hummels, David, 2008. "Trade responses to geographic frictions: A decomposition using micro-data," European Economic Review, Elsevier, vol. 52(3), pages 527-550, April.
    20. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    21. Marc J. Melitz & Stephen J. Redding, 2014. "Missing Gains from Trade?," American Economic Review, American Economic Association, vol. 104(5), pages 317-321, May.
    22. Arnaud Costinot & Dave Donaldson & Ivana Komunjer, 2012. "What Goods Do Countries Trade? A Quantitative Exploration of Ricardo's Ideas," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 581-608.
    23. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    24. Lorenzo Caliendo & Fernando Parro, 2015. "Estimates of the Trade and Welfare Effects of NAFTA," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 1-44.
    25. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    26. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    27. John Romalis, 2007. "NAFTA's and CUSFTA's Impact on International Trade," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 416-435, August.
    28. David Hummels, 2007. "Transportation Costs and International Trade in the Second Era of Globalization," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 131-154, Summer.
    29. Robert C. Johnson & Guillermo Noguera, 2012. "Proximity and Production Fragmentation," American Economic Review, American Economic Association, vol. 102(3), pages 407-411, May.
    30. Serge Shikher, 2012. "Putting industries into the Eaton--Kortum model," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 21(6), pages 807-837, November.
    31. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    32. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    33. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    34. Alvarez, Fernando & Lucas, Robert Jr., 2007. "General equilibrium analysis of the Eaton-Kortum model of international trade," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1726-1768, September.
    35. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," Post-Print hal-03579844, HAL.
    36. Hummels, David & Ishii, Jun & Yi, Kei-Mu, 2001. "The nature and growth of vertical specialization in world trade," Journal of International Economics, Elsevier, vol. 54(1), pages 75-96, June.
    37. Kim J. Ruhl, 2008. "The International Elasticity Puzzle," Working Papers 08-30, New York University, Leonard N. Stern School of Business, Department of Economics.
    38. Marcel P. Timmer & Abdul Azeez Erumban & Bart Los & Robert Stehrer & Gaaitzen J. de Vries, 2014. "Slicing Up Global Value Chains," Journal of Economic Perspectives, American Economic Association, vol. 28(2), pages 99-118, Spring.
    39. Koopman, Robert & Wang, Zhi & Wei, Shang-Jin, 2012. "Estimating domestic content in exports when processing trade is pervasive," Journal of Development Economics, Elsevier, vol. 99(1), pages 178-189.
    40. Johnson, Robert C. & Noguera, Guillermo, 2012. "Accounting for intermediates: Production sharing and trade in value added," Journal of International Economics, Elsevier, vol. 86(2), pages 224-236.
    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. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    2. Bolatto, Stefano & Moramarco, Graziano, 2023. "Gains from trade and their quantification: Does sectoral disaggregation matter?," International Economics, Elsevier, vol. 174(C), pages 44-68.
    3. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    4. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m01g1j1k2 is not listed on IDEAS
    5. Bas, Maria & Mayer, Thierry & Thoenig, Mathias, 2017. "From micro to macro: Demand, supply, and heterogeneity in the trade elasticity," Journal of International Economics, Elsevier, vol. 108(C), pages 1-19.
    6. repec:hal:spmain:info:hdl:2441/nki2gcedn93280ns6fslbhdnm is not listed on IDEAS
    7. Njike, Arnold, 2020. "Trade in value-added and the welfare gains of international fragmentation," MPRA Paper 100427, University Library of Munich, Germany.
    8. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    9. French, Scott, 2016. "The composition of trade flows and the aggregate effects of trade barriers," Journal of International Economics, Elsevier, vol. 98(C), pages 114-137.
    10. Emmanuel Dhyne & Ayumu Ken Kikkawa & Magne Mogstad & Felix Tintelnot, 2021. "Trade and Domestic Production Networks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 643-668.
    11. Krolikowski, Pawel M. & McCallum, Andrew H., 2021. "Goods-market frictions and international trade," Journal of International Economics, Elsevier, vol. 129(C).
    12. Patrick Alexander, 2021. "Vertical specialisation and gains from trade," The World Economy, Wiley Blackwell, vol. 44(4), pages 1110-1140, April.
    13. Fally, Thibault & Hillberry, Russell, 2018. "A Coasian model of international production chains," Journal of International Economics, Elsevier, vol. 114(C), pages 299-315.
    14. Felbermayr, Gabriel & Jung, Benjamin & Larch, Mario, 2015. "The welfare consequences of import tariffs: A quantitative perspective," Journal of International Economics, Elsevier, vol. 97(2), pages 295-309.
    15. Arnold Njike, 2019. "Trade in value-added and the welfare gains of global value," Working Papers 2019.06, International Network for Economic Research - INFER.
    16. Inga Heiland, 2017. "Five Essays on International Trade, Factor Flows and the Gains from Globalization," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 74.
    17. Giri, Rahul & Yi, Kei-Mu & Yilmazkuday, Hakan, 2021. "Gains from trade: Does sectoral heterogeneity matter?," Journal of International Economics, Elsevier, vol. 129(C).
    18. Heid, Benedikt & Larch, Mario, 2016. "Gravity with unemployment," Journal of International Economics, Elsevier, vol. 101(C), pages 70-85.
    19. Pol Antràs & Davin Chor, 2021. "Global Value Chains," NBER Working Papers 28549, National Bureau of Economic Research, Inc.
    20. Robert C. Feenstra & Philip Luck & Maurice Obstfeld & Katheryn N. Russ, 2018. "In Search of the Armington Elasticity," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 135-150, March.
    21. Bas, Maria & Mayer, Thierry & Thoenig, Mathias, 2017. "From micro to macro: Demand, supply, and heterogeneity in the trade elasticity," Journal of International Economics, Elsevier, vol. 108(C), pages 1-19.
    22. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    23. Khan, Shafaat Yar & Khederlarian, Armen, 2021. "How does trade respond to anticipated tariff changes? Evidence from NAFTA," Journal of International Economics, Elsevier, vol. 133(C).

    More about this item

    Keywords

    Economic models; International topics; Productivity; Trade Integration;
    All these keywords.

    JEL classification:

    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade

    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:bca:bocawp:16-54. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bocgvca.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.