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On measuring concentration in banking systems

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Author Info

  • Alegria, Carlos
  • Schaeck, Klaus

Abstract

Assuming a Pareto-type distribution of bank sizes, we investigate the effect of changes in Zipf's exponent ([alpha]) and the sample size on the behavior of different concentration indices, such as the 3-bank concentration ratio, the Herfindahl-Hirschman index and the top 5%-concentration ratio. We derive analytical relations between these concentration indices and investigate the elasticity of these indices to changes in [alpha] and in the sample size N. We show different regimes under which each index can be used most appropriately. Our results are highly relevant for policymakers who rely on such concentration measures to derive public policy recommendations in banking.

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Bibliographic Info

Article provided by Elsevier in its journal Finance Research Letters.

Volume (Year): 5 (2008)
Issue (Month): 1 (March)
Pages: 59-67

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Handle: RePEc:eee:finlet:v:5:y:2008:i:1:p:59-67

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Web page: http://www.elsevier.com/locate/frl

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References

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  1. Ramsden, J.J. & Kiss-Haypál, Gy., 2000. "Company size distribution in different countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 220-227.
  2. Frederic S. Mishkin, 1999. "Financial Consolidation: Dangers and Opportunities," NBER Working Papers 6655, National Bureau of Economic Research, Inc.
  3. Beck, T.H.L. & Demirgüç-Kunt, A. & Levine, R., 2006. "Bank concentration, competition, and crises: First results," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3125498, Tilburg University.
  4. J.A. Bikker & K. Haaf, 2000. "Competition, concentration and their relationship: an empirical analysis of the banking industry," Research Series Supervision (discontinued) 30, Netherlands Central Bank, Directorate Supervision.
  5. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
  6. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
  7. Barth, James R. & Caprio, Gerard Jr. & Levine, Ross, 2004. "Bank regulation and supervision: what works best?," Journal of Financial Intermediation, Elsevier, vol. 13(2), pages 205-248, April.
  8. Nicola Cetorelli, 1999. "Competitive analysis in banking: appraisal of the methodologies," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q I, pages 2-15.
  9. Naldi, M., 2003. "Concentration indices and Zipf's law," Economics Letters, Elsevier, vol. 78(3), pages 329-334, March.
  10. Claessens, Stijn & Demirguc-Kunt, Asl[iota] & Huizinga, Harry, 2001. "How does foreign entry affect domestic banking markets?," Journal of Banking & Finance, Elsevier, vol. 25(5), pages 891-911, May.
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Citations

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Cited by:
  1. Leonardo S. Alencar, 2011. "Revisiting Bank Pricing Policies in Brazil: evidence from loan and deposit markets," Working Papers Series 235, Central Bank of Brazil, Research Department.
  2. Guidara, Alaa & Lai, Van Son & Soumaré, Issouf & Tchana, Fulbert Tchana, 2013. "Banks’ capital buffer, risk and performance in the Canadian banking system: Impact of business cycles and regulatory changes," Journal of Banking & Finance, Elsevier, vol. 37(9), pages 3373-3387.
  3. Berger, Allen N. & Klapper, Leora F. & Turk-Ariss, Rima, 2008. "Bank competition and financial stability," Policy Research Working Paper Series 4696, The World Bank.
  4. Tomson Ogwang, 2011. "Power laws in top wealth distributions: evidence from Canada," Empirical Economics, Springer, vol. 41(2), pages 473-486, October.
  5. Marieke Huysentruyt & Eva Lefevere & Carlo Menon, 2010. "Bank location and financial liberalization reforms: evidence from microgeographic data," LSE Research Online Documents on Economics 33551, London School of Economics and Political Science, LSE Library.
  6. Nguyen, My & Skully, Michael & Perera, Shrimal, 2012. "Bank market power and revenue diversification: Evidence from selected ASEAN countries," Journal of Asian Economics, Elsevier, vol. 23(6), pages 688-700.
  7. Martin CIHAK, 2007. "Systemic Loss: A Measure of Financial Stability (in English)," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 57(1-2), pages 5-26, March.

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