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Producer Heterogeneity, Value-Added, and International Trade

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  • 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
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    References listed on IDEAS

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    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. Levchenko, Andrei A. & Zhang, Jing, 2014. "Ricardian productivity differences and the gains from trade," European Economic Review, Elsevier, vol. 65(C), pages 45-65.
    3. Kim J. Ruhl, 2008. "The International Elasticity Puzzle," Working Papers 08-30, New York University, Leonard N. Stern School of Business, Department of Economics.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Jean Imbs & Isabelle Mejean, 2015. "Elasticity Optimism," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 43-83, July.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics, Canadian Economics Association, vol. 43(1), pages 41-62, February.
    17. 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.
    18. 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.
    19. 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.
    20. Marc J. Melitz & Stephen J. Redding, 2014. "Missing Gains from Trade?," American Economic Review, American Economic Association, vol. 104(5), pages 317-321, May.
    21. 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.
    22. 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.
    23. 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.
    24. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    25. 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.
    26. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    27. Thierry Mayer & Keith Head, 2002. "Illusory Border Effects: Distance Mismeasurement Inflates Estimates of Home Bias in Trade," Working Papers 2002-01, CEPII research center.
    28. 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.
    29. 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.
    30. 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.
    31. 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.
    32. 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.
    33. Ossa, Ralph, 2015. "Why trade matters after all," Journal of International Economics, Elsevier, vol. 97(2), pages 266-277.
    34. 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.
    35. 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.
    36. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    37. 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.
    38. Robert C. Johnson & Guillermo Noguera, 2012. "Proximity and Production Fragmentation," American Economic Review, American Economic Association, vol. 102(3), pages 407-411, May.
    39. 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.
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    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

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