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Decomposing profit change: Konüs, Bennet and Luenberger indicators

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  • Aparicio, Juan
  • Zofío, José L.

Abstract

We introduce complementary decompositions of profit change that, relying on the duality between the profit function and the directional distance function, shed light on the different sources of profit growth including measures of technical efficiency, allocative efficiency and technological change. Our decompositions extend the literature on Konüs and Bennet quantity and price indicators to profit change. The first decomposition is ‘exact’ in the sense of Diewert, by completely exhausting the sources of profit change into profit inefficiency change (including technical and allocative inefficiency change), technological change, and output and input price change. The second decomposition equates the Bennet quantity indicator to a productivity measure represented by the Luenberger indicator plus allocative inefficiency change. We deem it ‘complete’ because in contrast to the existing literature, it retains the information on allocative inefficiency change while preventing the existence of residual terms capturing price variations, whose meaningful interpretation has not been addressed until now. Our proposed solution takes advantage of the flexibility of the directional distance function when choosing a suitable directional vector. All decompositions have the same structural form and therefore their components can be compared to each other vis-à-vis, providing alternative measures of equivalent sources of profit growth.

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  • Aparicio, Juan & Zofío, José L., 2023. "Decomposing profit change: Konüs, Bennet and Luenberger indicators," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
  • Handle: RePEc:eee:soceps:v:87:y:2023:i:pb:s0038012123000733
    DOI: 10.1016/j.seps.2023.101573
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    1. Balk, Bert M., 2018. "Profit-oriented productivity change: A comment," Omega, Elsevier, vol. 78(C), pages 176-178.
    2. Maniadakis, Nikolaos & Thanassoulis, Emmanuel, 2004. "A cost Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 154(2), pages 396-409, April.
    3. Robert B. Archibald, 1977. "On the Theory of Industrial Price Measurement Output Price Indexes," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 6, number 1, pages 57-72, National Bureau of Economic Research, Inc.
    4. E. Grifell-Tatjé & C.A.K. Lovell, 2000. "Cost and productivity," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 21(1), pages 19-30.
    5. Cinzia Daraio & Léopold Simar, 2016. "Efficiency and benchmarking with directional distances: a data-driven approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(7), pages 928-944, July.
    6. Färe, Rolf & Fukuyama, Hirofumi & Grosskopf, Shawna & Zelenyuk, Valentin, 2016. "Cost decompositions and the efficient subset," Omega, Elsevier, vol. 62(C), pages 123-130.
    7. Diewert, W. Erwin, 2014. "Decompositions of profitability change using cost functions," Journal of Econometrics, Elsevier, vol. 183(1), pages 58-66.
    8. Aparicio, Juan & Pastor, Jesús T. & Vidal, Fernando & Zofío, José L., 2017. "Evaluating productive performance: A new approach based on the product-mix problem consistent with Data Envelopment Analysis," Omega, Elsevier, vol. 67(C), pages 134-144.
    9. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    10. Yang, Zhuofan & Shi, Yong & Yan, Hong, 2017. "Analysis on pure e-commerce congestion effect, productivity effect and profitability in China," Socio-Economic Planning Sciences, Elsevier, vol. 57(C), pages 35-49.
    11. Olesen, Ole B. & Petersen, Niels Christian, 2016. "Stochastic Data Envelopment Analysis—A review," European Journal of Operational Research, Elsevier, vol. 251(1), pages 2-21.
    12. Kumbhakar,Subal C. & Wang,Hung-Jen & Horncastle,Alan P., 2015. "A Practitioner's Guide to Stochastic Frontier Analysis Using Stata," Cambridge Books, Cambridge University Press, number 9781107609464.
    13. Chen, Xiang, 2020. "Exploring the sources of financial performance in Chinese banks: A comparative analysis of different types of banks," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    14. Jose Zofio & Jesus Pastor & Juan Aparicio, 2013. "The directional profit efficiency measure: on why profit inefficiency is either technical or allocative," Journal of Productivity Analysis, Springer, vol. 40(3), pages 257-266, December.
    15. Zhao, Yu & Morita, Hiroshi & Maruyama, Yukihiro, 2019. "The measurement of productive performance with consideration for allocative efficiency," Omega, Elsevier, vol. 89(C), pages 21-39.
    16. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The weighted additive distance function," European Journal of Operational Research, Elsevier, vol. 254(1), pages 338-346.
    17. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    18. Layer, Kevin & Johnson, Andrew L. & Sickles, Robin C. & Ferrier, Gary D., 2020. "Direction selection in stochastic directional distance functions," European Journal of Operational Research, Elsevier, vol. 280(1), pages 351-364.
    19. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    20. José Zofío & Angel Prieto, 2006. "Return to Dollar, Generalized Distance Function and the Fisher Productivity Index," Spanish Economic Review, Springer;Spanish Economic Association, vol. 8(2), pages 113-138, June.
    21. Balk, Bert M. & Zofío, José L., 2020. "Symmetric decompositions of cost variation," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1189-1198.
    22. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin & Lin, Yu-Hui, 2015. "Profit-oriented productivity change," Omega, Elsevier, vol. 57(PB), pages 176-187.
    23. Alireza Amirteimoori & Biresh K. Sahoo & Vincent Charles & Saber Mehdizadeh, 2022. "Stochastic Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Stochastic Benchmarking, chapter 0, pages 55-76, Springer.
    24. Juan Aparicio & Fernando Borras & Lidia Ortiz & Jesus T. Pastor & Fernando Vidal, 2019. "Luenberger-type indicators based on the weighted additive distance function," Annals of Operations Research, Springer, vol. 278(1), pages 195-213, July.
    25. W. Erwin Diewert, 2005. "Index Number Theory Using Differences Rather Than Ratios," American Journal of Economics and Sociology, Wiley Blackwell, vol. 64(1), pages 311-360, January.
    26. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    27. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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