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CONSISTENT COMPARISONS OF REAL INCOMES ACROSS TIME AND SPACE

Published online by Cambridge University Press:  15 September 2009

Robert C. Feenstra,
Hong Ma and
D. S. Prasada Rao
Robert C. Feenstra
Affiliation:
University of California, Davis and National Bureau of Economic Research
Hong Ma
Affiliation:
Tsinghua University
D. S. Prasada Rao*
Affiliation:
The University of Queensland
*
Address correspondence to: D.S. Prasada Rao, School of Economics, The University of Queensland, St. Lucia, Queensland 4069, Australia; e-mail: p.rao@economics.uq.edu.au.
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Abstract

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Consistent real income comparisons over time and space are critical for studies on catch-up and convergence. The paper provides an analytical framework for making real income comparisons across countries and over time that satisfy transitivity and at the same time reflect an underlying nonhomothetic utility function for a representative consumer. The concept of reference price comparisons is developed and implemented using nonhomothetic translog and almost ideal demand systems. The paper discusses a direct approach, which uses all the parameters of the demand system to make real income comparisons, and an indirect approach, which adjusts the national price-based comparisons using reduced information only on income elasticities of demand. The proposed approach is empirically implemented using data from the 1980 and 1996 benchmark data from the International Comparison Program, and the empirical results confirm the analytical results discussed in the paper.

Keywords

Real Income ComparisonsConstant Price ComparisonsNational Price-Based ComparisonsTransitivityNonhomothetic PreferencesTranslog Expenditure FunctionAlmost Ideal Demand System

Information

Type
Articles
Information
Macroeconomic Dynamics , Volume 13 , Supplement S2: Measurement with Theory , September 2009, pp. 169 - 193
Copyright
Copyright © Cambridge University Press 2009

References

REFERENCES

Allen, R.G.D. (1949) The economic theory of index numbers. Economica N.S. 16, 197–203.CrossRefGoogle Scholar
Asian Development Bank (2007) Purchasing Power Parities and Real Expenditures. Manila: Asian Development Bank.Google Scholar
Balk, Bert M. (1996) A comparison of ten methods for multilateral international price and volume comparison. Journal of Official Statistics 12 (2), 199–222.Google Scholar
Banks, J., Blundell, R., and Lewbel, A. (1997) Quadratic Engel curves and consumer demand. Review of Economics and Statistics 79 (4), 527–539.CrossRefGoogle Scholar
Caves, Douglas W., Christensen, Laurits R., and Diewert, W. Erwin (1982) Multilateral comparisons of output, input, and productivity using superlative index numbers. Economic Journal 92, 73–86.CrossRefGoogle Scholar
Christensen, Laurits R., Jorgenson, Dale W., and Lau, Lawrence J. (1975) Transcendental logarithmic utility functions. American Economic Review 65, 367–383.Google Scholar
Diewert, W. Erwin (1976) Exact and superlative index numbers. Journal of Econometrics 4, 115–145.CrossRefGoogle Scholar
Diewert, W. Erwin (1980) Symmetry conditions for market demand functions. Review of Economic Studies 47, 595–601.CrossRefGoogle Scholar
Diewert, W. Erwin (1999) Axiomatic and economic approaches to international comparisons. In Heston, A. and Lipsey, R.E. (eds.), International and Interarea Comparisons of Income, Output, and Prices, NBER Studies in Income and Wealth, vol. 61, pp. 13–87. Chicago: University of Chicago Press.Google Scholar
Diewert, W. Erwin and Wales, Terrance J. (1988) A normalized quadratic semiflexible functional form. Journal of Econometrics 37, 327–342.CrossRefGoogle Scholar
Eltetö, O. and Köves, P. (1964) On an index number computation problem in international comparison [in Hungarian]. Statisztikai Szemle 42, 507–518.Google Scholar
Feenstra, Robert C., Heston, Alan, Timmer, Marcel P., and Deng, Haiyan (2009) Estimating real production and expenditures across countries: A proposal for improving the Penn World Tables. Review of Economics and Statistics 91 (1), 188–200.CrossRefGoogle Scholar
Feenstra, Robert C. and Reinsdorf, M. (2000) An exact price index for the almost ideal demand system. Economics Letters 66 (2)159–162.CrossRefGoogle Scholar
Geary, R.C. (1958) A note on the comparison of exchange rates and purchasing power between countries. Journal of the Royal Statistical Society, Series A (General) 121 (1), 97–99.CrossRefGoogle Scholar
Gini, C. (1931) On the circular test of index numbers. Metron 9 (9), 3–24.Google Scholar
Hill, Robert J. (2004) Constructing price indexes across space and time: The case of the European Union. American Economic Review 94, 1379–1410.CrossRefGoogle Scholar
Iklé, D.M. (1972) A new approach to index number theory. Quarterly Journal of Economics 86, 188–211.CrossRefGoogle Scholar
Khamis, Salem H. (1970) Properties and conditions for the existence of a new type of index numbers. Sankhya, Series B 32, 81–98.Google Scholar
Khamis, Salem H. (1972) A new system of index numbers for national and international purposes. Journal of the Royal Statistical Society, Series A 135, 92–121.CrossRefGoogle Scholar
Maddison, A. 2007. Contours of the World Economy 1–2030 AD: Essays in Macro-economic History. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Neary, Peter (2004) Rationalizing the Penn World Table: True multilateral indices for international comparisons of real income. American Economic Review 94, 1411–1428.CrossRefGoogle Scholar
Oulton, Nicholas (2008) Chain indices of the cost-of-living and the path-dependence problem: An empirical solution. Journal of Econometrics 144, 306–324.CrossRefGoogle Scholar
Rao, D.S. Prasada (1990) A system of log-change index numbers for multilateral comparisons. In Salazar-Carrillo, J. and Rao, D.S. Prasada (eds.), Comparisons of Prices and Real Product in Latin America, pp. 127–140. Amsterdam: North-Holland.Google Scholar
Rao, D.S. Prasada, Rambaldi, Alicia, and Doran, Howard E. (2008) A Method to Construct World Tables of Purchasing Power Parities and Real Incomes Based on Multiple Benchmarks and Auxiliary Information: Analytical and Empirical Results. CEPA Working Paper Series, WP05/2008, University of Queensland, Brisbane, Australia.Google Scholar
Samuelson, Paul A. (1974) Complementarity—An essay on the 40th anniversary of the Hicks–Allen revolution in demand theory. Journal of Economic Literature 12, 1255–1289.Google Scholar
Szulc, B. (1964) Index numbers of multilateral regional comparisons. Przeglad Statysticzny 3, 239–254 (in Polish).Google Scholar
United Nations (1986) World Comparisons of Purchasing Power and Real Product for 1980, E.86.XVI.9 and XVI.10. New York: United Nations.Google Scholar
World Bank (2005) ICP 2003–2006 Handbook. Washington DC: The World Bank. http://web.worldbank.org/WBSITE/EXTERNAL/DATASTATISTICS/ICPEXT/0,contentMDK:20962711~menuPK:2666036~pagePK:60002244~piPK:62002388~theSitePK:270065,00.html.Google Scholar
World Bank (2006) World Development Indicators 2005. Washington, DC: The World Bank.Google Scholar