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Stochastic approach to computation of purchasing power parities in the International Comparison Program (ICP)

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  • Rao, D.S. Prasada
  • Hajargasht, Gholamreza

Abstract

The paper presents a stochastic approach based on the country-product-dummy (CPD) method for the computation of purchasing power parities (PPPs) in the International Comparison Program. The approach develops estimation strategies in conjunction with the country-product-dummy method to derive a range of multilateral index number methods for the compilation of PPPs at the basic heading level as well as at higher levels of aggregation. At the basic heading level our approach generates Jevons geometric index, arithmetic and harmonic indexes as well as the Dutot index. At higher levels of aggregation, a weighted stochastic model with alternative stochastic specifications and the method of moments (MOM) are used to derive the Geary–Khamis, Iklé, Rao and other multilateral index number methods employed in international comparisons. Expressions for computing standard errors for PPPs based on these formulae are also derived. Existence of solutions to the estimating equations derived from the weighted method of moments or the maximum weighted likelihood is also discussed. A numerical illustration based on ICP 2005 data is presented.

Suggested Citation

  • Rao, D.S. Prasada & Hajargasht, Gholamreza, 2016. "Stochastic approach to computation of purchasing power parities in the International Comparison Program (ICP)," Journal of Econometrics, Elsevier, vol. 191(2), pages 414-425.
    • Handle: RePEc:eee:econom:v:191:y:2016:i:2:p:414-425
    DOI: 10.1016/j.jeconom.2015.12.012
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    References listed on IDEAS

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    Cited by:

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    2. Hajargasht, Gholamreza & Rao, D.S. Prasada, 2019. "Multilateral index number systems for international price comparisons: Properties, existence and uniqueness," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 36-47.
    3. Diewert, Erwin, 2019. "Quality Adjustment and Hedonics: A Unified Approach," Microeconomics.ca working papers erwin_diewert-2019-2, Vancouver School of Economics, revised 14 Mar 2019.
    4. Laureti Tiziana & Polidoro Federico, 2022. "Using Scanner Data for Computing Consumer Spatial Price Indexes at Regional Level: An Empirical Application for Grocery Products in Italy," Journal of Official Statistics, Sciendo, vol. 38(1), pages 23-56, March.
    5. Ranjan Ray, 2017. "The Role of Prices in Welfare Comparisons: Methodological Developments and a Selective Survey of the Empirical Literature," The Economic Record, The Economic Society of Australia, vol. 93(301), pages 314-332, June.
    6. von Auer, Ludwig & Weinand, Sebastian, 2022. "A nonlinear generalization of the country-product-dummy method," Discussion Papers 45/2022, Deutsche Bundesbank.
    7. Adam Gorajek, 2018. "Econometric Perspectives on Economic Measurement," RBA Research Discussion Papers rdp2018-08, Reserve Bank of Australia.
    8. Cassetta, Ernesto & Nava, Consuelo R. & Zoia, Maria Grazia, 2022. "A three-step procedure to investigate the convergence of electricity and natural gas prices in the European Union," Energy Economics, Elsevier, vol. 105(C).
    9. Robert Inklaar & D. S. Prasada Rao, 2017. "Cross-Country Income Levels over Time: Did the Developing World Suddenly Become Much Richer?," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(1), pages 265-290, January.
    10. Weinand, Sebastian, 2020. "Measuring spatial price differentials: A comparison of stochastic index number methods," Discussion Papers 12/2020, Deutsche Bundesbank.
    11. Gholamreza Hajargasht, 2022. "Reliability of Ideal Indexes," Papers 2210.13684, arXiv.org.
    12. José‐María Montero & Tiziana Laureti & Román Mínguez & Gema Fernández‐Avilés, 2020. "A Stochastic Model with Penalized Coefficients for Spatial Price Comparisons: An Application to Regional Price Indexes in Italy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 66(3), pages 512-533, September.
    13. Laureti, Tiziana & Prasada Rao, D.S., 2018. "Measuring Spatial Price Level Differences within a Country: Current status and Future Developments /Medición de las diferencias de nivel de precios espaciales dentro de un país: Estado actual y evoluc," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 36, pages 119-148, Enero.
    14. Chihiro Shimizu & Erwin Diewert, 2023. "Scanner Data, Product Churn and Quality Adjustment," Working Papers e185, Tokyo Center for Economic Research.
    15. Chunyun Wang & Xiaoxi Yu & Jiang Zhao, 2022. "Identifying the Real Income Disparity in Prefecture-Level Cities in China: Measurement of Subnational Purchasing Power Parity Based on the Stochastic Approach," Sustainability, MDPI, vol. 14(16), pages 1-24, August.
    16. Reza Hajargasht & Robert J. Hill & D. S. Prasada Rao & Sriram Shankar, 2018. "Spatial Chaining in International Comparisons of Prices and Real Incomes," Graz Economics Papers 2018-03, University of Graz, Department of Economics.
    17. Consuelo Nava & Maria Grazia Zoia, 2019. "An econometric analysis of the Italian cultural supply," Papers 1910.00073, arXiv.org, revised May 2020.
    18. Ilaria Benedetti & Tiziana Laureti & Luigi Palumbo & Brandon M. Rose, 2022. "Computation of High-Frequency Sub-National Spatial Consumer Price Indexes Using Web Scraping Techniques," Economies, MDPI, vol. 10(4), pages 1-20, April.
    19. Consuelo R. Nava & Antonio Pesce & Maria Grazia Zoia, 2019. "A new proposal for the construction of a multi-period/multilateral price index," DISCE - Quaderni del Dipartimento di Politica Economica dipe0007, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    20. Benedetti Ilaria & Biggeri Luigi & Laureti Tiziana, 2022. "Sub-National Spatial Price Indexes for Housing: Methodological Issues and Computation for Italy," Journal of Official Statistics, Sciendo, vol. 38(1), pages 57-82, March.
    21. Hajargasht, Gholamreza & Prasada Rao, D.S. & Valadkhani, Abbas, 2019. "Reliability of basic heading PPPs," Economics Letters, Elsevier, vol. 180(C), pages 102-107.

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    More about this item

    Keywords

    Purchasing power parities; International Comparison Program; Stochastic approach; Non-additive linear models; Method of moments; Standard errors;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General

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