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The Log of Gravity

  • Santos Silva, J.M.C
  • Tenreyro, Silvana

Although economists have long been aware of Jensen's inequality, many econometric applications have neglected an important implication of it: the standard practice of interpreting the parameters of log-linearized models estimated by ordinary least squares as elasticities can be highly misleading in the presence of heteroskedasticity. This paper explains why this problem arises and proposes an appropriate estimator. Our criticism of conventional practices and the solution we propose extends to a broad range of economic applications where the equation under study is log-linearized. We develop the argument using one particular illustration, the gravity equation for trade, and apply the proposed technique to provide new estimates of this equation. We find significant differences between estimates obtained with the proposed estimator and those obtained with the traditional method.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5311.

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Date of creation: Oct 2005
Date of revision:
Handle: RePEc:cpr:ceprdp:5311
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  1. Jeffrey A. Frankel & Shang-Jin Wei, 1993. "Emerging Currency Blocs," NBER Working Papers 4335, National Bureau of Economic Research, Inc.
  2. Rose, Andrew, 1999. "One Money, One Market: Estimating the Effect of Common Currencies on Trade," Seminar Papers 678, Stockholm University, Institute for International Economic Studies.
  3. Silvana Tenreyro & Robert J. Barro, 2003. "Economic Effects of Currency Unions," NBER Working Papers 9435, National Bureau of Economic Research, Inc.
  4. Jonathan Eaton & Akilo Tamura, 1994. "Bilateralism and Regionalism in Japanese and U.S. Trade and Direct Foreign Investment Patterns," Boston University - Institute for Economic Development 48, Boston University, Institute for Economic Development.
  5. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
  6. Delgado, Miguel A., 1992. "Semiparametric Generalized Least Squares in the Multivariate Nonlinear Regression Model," Econometric Theory, Cambridge University Press, vol. 8(02), pages 203-222, June.
  7. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, June.
  8. Delgado, M.A. & Kniesner, T.J., 1992. "Semiparametric Versus Parametric Count-Data Models-- Econometric Considerations and Estimates of Hedonic- Equilibrium Model of Worker Absenteeism," Papers 92-018, Indiana - Center for Econometric Model Research.
  9. Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-81, August.
  10. Eichengreen, Barry & Irwin, Douglas A., 1995. "Trade blocs, currency blocs and the reorientation of world trade in the 1930s," Journal of International Economics, Elsevier, vol. 38(1-2), pages 1-24, February.
  11. Robert C. Feenstra & James R. Markusen & Andrew K. Rose, 2001. "Using the gravity equation to differentiate among alternative theories of trade," Canadian Journal of Economics, Canadian Economics Association, vol. 34(2), pages 430-447, May.
  12. Alan V. Deardorff, 1995. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," NBER Working Papers 5377, National Bureau of Economic Research, Inc.
  13. Frankel, Jeffrey & Rose, Andrew K., 2001. "An Estimate of the Effect of Common Currencies on Trade and Income," Working Paper Series rwp01-013, Harvard University, John F. Kennedy School of Government.
  14. Frank Windmeijer & Joao Santos Silva, 1996. "Endogeneity in count data models; an application to demand for health care," IFS Working Papers W96/15, Institute for Fiscal Studies.
  15. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
  16. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
  17. Robert C. Feenstra & Robert E. Lipsey & Harry P. Bowen, 1997. "World Trade Flows, 1970-1992, with Production and Tariff Data," NBER Working Papers 5910, National Bureau of Economic Research, Inc.
  18. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-20, May.
  19. 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.
  20. Wooldridge, Jeffrey M., 1999. "Distribution-free estimation of some nonlinear panel data models," Journal of Econometrics, Elsevier, vol. 90(1), pages 77-97, May.
  21. Boisso, Dale & Ferrantino, Michael, 1997. "Economic Distance, Cultural Distance, and Openness in International Trade : Empirical Puzzles," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 12, pages 456-484.
  22. Leslie E. Papke & Jeffrey M. Wooldridge, 1993. "Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates," NBER Technical Working Papers 0147, National Bureau of Economic Research, Inc.
  23. Loeb, Susanna & Bound, John, 1996. "The Effect of Measured School Inputs on Academic Achievement: Evidence form the 1920s, 1930s and 1940s Birth Cohorts," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 653-64, November.
  24. Davis, Donald R., 1995. "Intra-industry trade: A Heckscher-Ohlin-Ricardo approach," Journal of International Economics, Elsevier, vol. 39(3-4), pages 201-226, November.
  25. Jon Haveman & David Hummels, 2004. "Alternative hypotheses and the volume of trade: the gravity equation and the extent of specialization," Canadian Journal of Economics, Canadian Economics Association, vol. 37(1), pages 199-218, February.
  26. Alberto Alesina & Robert J. Barro, 2000. "Currency Unions," NBER Working Papers 7927, National Bureau of Economic Research, Inc.
  27. Robinson, P M, 1987. "Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, Econometric Society, vol. 55(4), pages 875-91, July.
  28. Jeffrey A. Frankel, 1997. "Regional Trading Blocs in the World Economic System," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 72.
  29. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
  30. Harrigan, James, 1993. "OECD imports and trade barriers in 1983," Journal of International Economics, Elsevier, vol. 35(1-2), pages 91-111, August.
  31. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-23, June.
  32. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-16, March.
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