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A two-stage pooled panel data estimator of demand elasticities

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Abstract

In a seminal paper, Feenstra (1994) developed an instrumental variable estimator which is becoming increasingly popular for estimating demand elasticities. Soderbery (2015) extended this estimator and created a routine which was shown to be more robust to data outliers when the number of time periods is small or moderate. In this paper, we extend the Feenstra/Soderbery (F/S) estimator along two important dimensions to obtain a more efficient estimator: we handle the cases where there are no simultaneity problems, i.e. when supply is either elastic or inelastic, and we generalize the current practice of choosing a particular reference variety by creating a pooled estimator across all possible reference varieties. Using a Monte Carlo study, we show that our proposed estimator reduces the RMSE compared to the F/S estimator by between 60 and 90 percent across the whole parameter space.

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  • Thomas von Brasch & Arvid Raknerud, 2021. "A two-stage pooled panel data estimator of demand elasticities," Discussion Papers 951, Statistics Norway, Research Department.
    • Handle: RePEc:ssb:dispap:951
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    1. Joshua D. Angrist & Alan B. Krueger, 2001. "Instrumental Variables and the Search for Identification: From Supply and Demand to Natural Experiments," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 69-85, Fall.
    2. Shon M. Ferguson & Aaron Smith, 2022. "Import demand elasticities based on quantity data: Theory and evidence," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(2), pages 1027-1056, May.
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    5. Mariya Aleksynska & Giovanni Peri, 2014. "Isolating the Network Effect of Immigrants on Trade," The World Economy, Wiley Blackwell, vol. 37(3), pages 434-455, March.
    6. Christian Broda & David E. Weinstein, 2006. "Globalization and the Gains From Variety," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 541-585.
    7. Thomas von Brasch & Diana-Cristina Iancu & Arvid Raknerud, 2018. "Productivity growth, firm turnover and new varieties," Discussion Papers 872, Statistics Norway, Research Department.
    8. Gareth O. Roberts & Omiros Papaspiliopoulos & Petros Dellaportas, 2004. "Bayesian inference for non‐Gaussian Ornstein–Uhlenbeck stochastic volatility processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 369-393, May.
    9. Costas Arkolakis & Svetlana Demidova & Peter J. Klenow & Andres Rodriguez-Clare, 2008. "Endogenous Variety and the Gains from Trade," American Economic Review, American Economic Association, vol. 98(2), pages 444-450, May.
    10. Feenstra, Robert C, 1994. "New Product Varieties and the Measurement of International Prices," American Economic Review, American Economic Association, vol. 84(1), pages 157-177, March.
    11. Bruce A. Blonigen & Anson Soderbery, 2019. "Measuring the Benefits of Foreign Product Variety with an Accurate Variety Set," World Scientific Book Chapters, in: Foreign Direct Investment, chapter 15, pages 501-538, World Scientific Publishing Co. Pte. Ltd..
    12. Ferguson, Shon & Smith, Aaron D., 2019. "Import Demand Elasticities Based on Quantity Data: Theory, Evidence and Implications for the Gains from Trade," 2019 Annual Meeting, July 21-23, Atlanta, Georgia 291070, Agricultural and Applied Economics Association.
    13. Robert C. Feenstra & John Romalis, 2014. "International Prices and Endogenous Quality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(2), pages 477-527.
    14. Christian Broda & David E. Weinstein, 2010. "Product Creation and Destruction: Evidence and Price Implications," American Economic Review, American Economic Association, vol. 100(3), pages 691-723, June.
    15. Aichele, Rahel & Heiland, Inga, 2018. "Where is the value added? Trade liberalization and production networks," Journal of International Economics, Elsevier, vol. 115(C), pages 130-144.
    16. 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.
    17. Soderbery, Anson, 2010. "Investigating the asymptotic properties of import elasticity estimates," Economics Letters, Elsevier, vol. 109(2), pages 57-62, November.
    18. Joshua Angrist & Alan Krueger, 2001. "Instrumental Variables and the Search for Identification: From Supply and Demand to Natural Experiments," Working Papers 834, Princeton University, Department of Economics, Industrial Relations Section..
    19. Imbens, Guido W., 2014. "Instrumental Variables: An Econometrician's Perspective," IZA Discussion Papers 8048, Institute of Labor Economics (IZA).
    20. Soderbery, Anson, 2015. "Estimating import supply and demand elasticities: Analysis and implications," Journal of International Economics, Elsevier, vol. 96(1), pages 1-17.
    21. Andrews, Donald W K, 2002. "Generalized Method of Moments Estimation When a Parameter Is on a Boundary," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 530-544, October.
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    More about this item

    Keywords

    Demand elasticity; Panel data; Two-stage estimator;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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