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Instrumental-Variable Estimation of Gravity Equations

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  • Jochmans, K.
  • Verardi, V.

Abstract

We present an instrumental-variable approach to estimate gravity equations. Our procedure accommodates the potential endogeneity of policy variables and is fully theory-consistent. It is based on the model in levels and accounts for multilateral resistance terms by means of importer and export fixed effects. The implementation is limited-information in nature, and so is silent on the form of the mechanism that drives the actual policy decisions. The procedure spawns specification tests for the validity of the instruments used as well as a test for exogeneity. We estimate gravity equations from five cross-sections of bilateral-trade data where the policy decision of interest is the engagement in a free trade agreement. We rely on the interaction of the countries in the pair with third-party trading partners to construct a credible instrumental variable based on the substantial transitivity in the formation of trade agreements that is observed in the data. This instrument is strongly correlated with the policy variable. Our point estimate of the average impact of a free trade agreement increases over the sampling period, starting at 61% and clocking o_ at a 117% increase in bilateral trade volume. Not correcting for endogeneity yields stable estimates of around 25%.

Suggested Citation

  • Jochmans, K. & Verardi, V., 2019. "Instrumental-Variable Estimation of Gravity Equations," Cambridge Working Papers in Economics 1994, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:1994
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    1. Robert Barro & Silvana Tenreyro, 2007. "Economic Effects Of Currency Unions," Economic Inquiry, Western Economic Association International, vol. 45(1), pages 1-23, January.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Glick, Reuven & Rose, Andrew K., 2016. "Currency unions and trade: A post-EMU reassessment," European Economic Review, Elsevier, vol. 87(C), pages 78-91.
    4. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    5. Egger, Peter & Larch, Mario, 2008. "Interdependent preferential trade agreement memberships: An empirical analysis," Journal of International Economics, Elsevier, vol. 76(2), pages 384-399, December.
    6. J.M.C. Santos Silva & Silvana Tenreyro, 2010. "Currency Unions in Prospect and Retrospect," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 51-74, September.
    7. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    8. Andrew K. Rose, 2004. "Do We Really Know That the WTO Increases Trade?," American Economic Review, American Economic Association, vol. 94(1), pages 98-114, March.
    9. Guggenberger, Patrik, 2012. "A note on the (in)consistency of the test of overidentifying restrictions and the concepts of true and pseudo-true parameters," Economics Letters, Elsevier, vol. 117(3), pages 901-904.
    10. Koen Jochmans, 2017. "Two-Way Models for Gravity," The Review of Economics and Statistics, MIT Press, vol. 99(3), pages 478-485, July.
    11. Geert Dhaene & Koen Jochmans, 2015. "Split-panel Jackknife Estimation of Fixed-effect Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 991-1030.
    12. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, October.
    13. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    14. Fernández-Val, Iván & Vella, Francis, 2011. "Bias corrections for two-step fixed effects panel data estimators," Journal of Econometrics, Elsevier, vol. 163(2), pages 144-162, August.
    15. James E. Anderson & Yoto V. Yotov, 2010. "The Changing Incidence of Geography," American Economic Review, American Economic Association, vol. 100(5), pages 2157-2186, December.
    16. J. M. C. Santos Silva & Silvana Tenreyro, 2006. "The Log of Gravity," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 641-658, November.
    17. 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.
    18. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
    19. Baier, Scott L. & Bergstrand, Jeffrey H., 2009. "Estimating the effects of free trade agreements on international trade flows using matching econometrics," Journal of International Economics, Elsevier, vol. 77(1), pages 63-76, February.
    20. John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
    21. Redding, Stephen & Venables, Anthony J., 2004. "Economic geography and international inequality," Journal of International Economics, Elsevier, vol. 62(1), pages 53-82, January.
    22. Chen, Maggie Xiaoyang & Joshi, Sumit, 2010. "Third-country effects on the formation of free trade agreements," Journal of International Economics, Elsevier, vol. 82(2), pages 238-248, November.
    23. Peter Egger & Mario Larch & Kevin E. Staub & Rainer Winkelmann, 2011. "The Trade Effects of Endogenous Preferential Trade Agreements," American Economic Journal: Economic Policy, American Economic Association, vol. 3(3), pages 113-143, August.
    24. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, October.
    25. K. Newey, Whitney, 1985. "Generalized method of moments specification testing," Journal of Econometrics, Elsevier, vol. 29(3), pages 229-256, September.
    26. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, October.
    27. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, October.
    28. Baier, Scott L. & Bergstrand, Jeffrey H., 2007. "Do free trade agreements actually increase members' international trade?," Journal of International Economics, Elsevier, vol. 71(1), pages 72-95, March.
    29. Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-294, May-June.
    30. Andrew K. Rose, 2000. "One money, one market: the effect of common currencies on trade," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 15(30), pages 08-45.
    31. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, October.
    32. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    33. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, October.
    34. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
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    More about this item

    Keywords

    endogeneity; fixed effects; gravity equation; instrumental variable; multilateral resistance; free trade agreement;
    All these keywords.

    JEL classification:

    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade

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