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A Framework for the Simultaneous Measurement of Spatial Variation and Temporal Movement in Prices in a Heterogeneous Country: The Dynamic Household Regional Product Dummy Model

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  • Manisha Chakrabarty
  • Amita Majumder
  • Ranjan Ray

Abstract

This paper contributes to the growing literature on spatial prices in large heterogeneous countries. While the literatures on spatial variation and temporal movement in prices have grown in parallel, this study marks a departure by providing a unified treatment and proposing a comprehensive framework that allows both approaches. The proposed model is based on twin extensions of the household version of the “country product dummy model” by allowing for a dynamic stochastic specification and interdependence of spatial prices of geographically adjacent regions. Tests of temporal stability and regional independence of the estimated spatial prices are proposed and applied in this paper. The paper shows that the introduction of an autoregressive error process of order one, AR(1), improves the efficiency of the estimates of parameters, urban‐rural and temporal price indices under certain conditions. The Indian application points to a rich potential for using the proposed framework in cross country comparisons such as the International Comparison Program (ICP) exercises.

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  • Manisha Chakrabarty & Amita Majumder & Ranjan Ray, 2018. "A Framework for the Simultaneous Measurement of Spatial Variation and Temporal Movement in Prices in a Heterogeneous Country: The Dynamic Household Regional Product Dummy Model," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 703-730, September.
    • Handle: RePEc:bla:revinw:v:64:y:2018:i:3:p:703-730
    DOI: 10.1111/roiw.12266
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    References listed on IDEAS

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    1. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    2. Robert Summers, 1973. "International Price Comparisons Based Upon Incomplete Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 19(1), pages 1-16, March.
    3. D. Coondoo & A. Majumder & R. Ray, 2004. "A Method of Calculating Regional Consumer Price Differentials with Illustrative Evidence from India," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 50(1), pages 51-68, March.
    4. D. S. Prasada Rao, 2005. "On The Equivalence Of Weighted Country‐Product‐Dummy (Cpd) Method And The Rao‐System For Multilateral Price Comparisons," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(4), pages 571-580, December.
    5. Robert J. Hill, 2004. "Constructing Price Indexes across Space and Time: The Case of the European Union," American Economic Review, American Economic Association, vol. 94(5), pages 1379-1410, December.
    6. Amita Majumder & Ranjan Ray & Kompal Sinha, 2015. "Estimating Purchasing Power Parities from Household Expenditure Data Using Complete Demand Systems with Application to Living Standards Comparison: India and Vietnam," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(2), pages 302-328, June.
    7. Manisha Chakrabarty & Amita Majumder & Ranjan Ray, 2015. "Preferences, Spatial Prices and Inequality," Journal of Development Studies, Taylor & Francis Journals, vol. 51(11), pages 1488-1501, November.
    8. Abbi Mamo Kedir, 2005. "Estimation of Own- and Cross-price Elasticities using Unit Values: Econometric Issues and Evidence from Urban Ethiopia," Journal of African Economies, Centre for the Study of African Economies, vol. 14(1), pages 1-20, March.
    9. Jeffrey P. Cohen & Catherine J. Morrison Paul, 2004. "Public Infrastructure Investment, Interstate Spatial Spillovers, and Manufacturing Costs," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 551-560, May.
    10. Robert J. Hill & Iqbal A. Syed, 2015. "Improving International Comparisons of Prices at Basic Heading Level: An Application to the Asia-Pacific Region," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 515-539, September.
    11. Robert Inklaar, 2013. "“Price Levels and Economic Growth: Making Sense of Revisions to Data on Real Incomes”: A Comment," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 614-622, December.
    12. Erwin Diewert, 2005. "Weighted Country Product Dummy Variable Regressions And Index Number Formulae," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(4), pages 561-570, December.
    13. D. S. Prasada Rao & Alicia Rambaldi & Howard Doran, 2010. "Extrapolation Of Purchasing Power Parities Using Multiple Benchmarks And Auxiliary Information: A New Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 59-98, June.
    14. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
    15. David M. Drukker, 2003. "Testing for serial correlation in linear panel-data models," Stata Journal, StataCorp LP, vol. 3(2), pages 168-177, June.
    16. Ankita Mishra & Ranjan Ray, 2014. "Spatial Variation in Prices and Expenditure Inequalities in Australia," The Economic Record, The Economic Society of Australia, vol. 90(289), pages 137-159, June.
    17. Elhorst, J. Paul, 2008. "Serial and spatial error correlation," Economics Letters, Elsevier, vol. 100(3), pages 422-424, September.
    18. Amita Majumder & Ranjan Ray & Kompal Sinha, 2012. "Calculating Rural-Urban Food Price Differentials from Unit Values in Household Expenditure Surveys: A Comparison with Existing Methods and A New Procedure," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(5), pages 1218-1235.
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    Cited by:

    1. Venera Timiryanova & Irina Lakman & Vadim Prudnikov & Dina Krasnoselskaya, 2022. "Spatial Dependence of Average Prices for Product Categories and Its Change over Time: Evidence from Daily Data," Forecasting, MDPI, vol. 5(1), pages 1-25, December.
    2. Amita Majumder & Ranjan Ray, 2020. "National and subnational purchasing power parity: a review," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 47(2), pages 103-124, June.
    3. Majumder, Amita & Ray, Ranjan & Santra, Sattwik, 2021. "Should commodity tax rates be uniform across regions in a heterogeneous country? Evidence from India," Journal of Policy Modeling, Elsevier, vol. 43(6), pages 1310-1331.

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