On measuring concentration in banking systems
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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- S. Mishkin, Frederic, 1999.
"Financial consolidation: Dangers and opportunities,"
Journal of Banking & Finance,
Elsevier, vol. 23(2-4), pages 675-691, February.
- Frederic S. Mishkin, 1999. "Financial Consolidation: Dangers and Opportunities," NBER Working Papers 6655, National Bureau of Economic Research, Inc.
- Nicola Cetorelli, 1999. "Competitive analysis in banking: appraisal of the methodologies," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q I, pages 2-15.
- 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.
- Barth, James R. & Caprio Jr., Gerard & Levine, Ross, 2001. "Bank regulation and supervision : what works best?," Policy Research Working Paper Series 2725, The World Bank.
- James R. Barth & Gerard Caprio, Jr. & Ross Levine, 2002. "Bank Regulation and Supervision: What Works Best?," NBER Working Papers 9323, National Bureau of Economic Research, Inc.
- 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.
- Bikker, Jacob A. & Haaf, Katharina, 2002. "Competition, concentration and their relationship: An empirical analysis of the banking industry," Journal of Banking & Finance, Elsevier, vol. 26(11), pages 2191-2214, November.
- 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.
- J.A. Bikker & K. Haaf, 2001. "Competition, Concentration and their Relationship: an EmpiricalAnalysis of the Banking Industry," DNB Staff Reports (discontinued) 68, Netherlands Central Bank.
- Naldi, M., 2003. "Concentration indices and Zipf's law," Economics Letters, Elsevier, vol. 78(3), pages 329-334, March.
- Beck, Thorsten & Demirguc-Kunt, Asli & Levine, Ross, 2006. "Bank concentration, competition, and crises: First results," Journal of Banking & Finance, Elsevier, vol. 30(5), pages 1581-1603, May.
- 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.
- Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
- 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.
- Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May. Full references (including those not matched with items on IDEAS)