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Imposing Curvature Conditions on Flexible Functional Forms to GNP Functions

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  • Chapda Nana, Guy
  • Larue, Bruno

Abstract

This paper empirically investigates the implications of the imposition of convexity in output prices and concavity in factor endowments on flexible functional forms for the GNP function. Using macroeconomic data for Switzerland, we estimate the Translog and the Symmetric Normalized Quadratic forms to investigate the manner with which curvature restrictions are imposed, the extend of curvature violations and the robustness of estimated elasticities. We also compare the predictive accuracy of the aforementioned flexible functional forms. Our result show that concavity in factor endowments is violated much more often than convexity in output prices. For the Translog, the date at which local restrictions are imposed matters a great deal in terms of remaining curvature violations in the sample, but far less for estimated elasticities. In contrast, we found that the size and sign of elasticities vary across functional forms. In-sample forecasting analysis demonstrates that the Translog model significantly dominates the Symmetric Normalized Quadratic.

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Bibliographic Info

Paper provided by University of Laval, Center for Research on the Economics of the Environment, Agri-food, Transports and Energy (CREATE) in its series Working Papers with number 123308.

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Date of creation: May 2012
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Handle: RePEc:ags:ulavwp:123308

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Postal: Faculté des sciences de l'agriculture et de l'alimentation, Pavillon Paul-Comtois, 2425 rue de l'Agriculture, local 4424, Québec, Qc, G1V 0A6
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Web page: http://www.create.ulaval.ca
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Keywords: GNP function; flexible functional forms; curvature violations; elasticities; International Relations/Trade; Research Methods/ Statistical Methods; D24; C30;

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  13. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 2000. "Imposing regularity conditions on a system of cost and factor share equations," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 44(1), March.
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  24. Subhash C. Sharma, 2002. "The Morishima Elasticity of Substitution for the Variable Profit Function and the Demand for Imports in the United States," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 115-135, February.
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