IDEAS home Printed from https://ideas.repec.org/a/zbw/ifweej/201410.html
   My bibliography  Save this article

Evolutionary model of the bank size distribution

Author

Listed:
  • Kaldasch, Joachim

Abstract

An evolutionary model of the bank size distribution is presented based on the exchange and creation of deposit money. In agreement with empirical results the derived size distribution is lognormal with a power law tail. The theory is based on the idea that the size distribution is the result of the competition between banks for permanent deposit money. The exchange of deposits causes a preferential growth of banks with a fitness that is determined by the competitive advantage to attract permanent deposits. While growth rate fluctuations are responsible for the lognormal part of the size distribution, treating the mean growth rate of banks as small, large banks benefit from economies of scale generating the Pareto tail.

Suggested Citation

  • Kaldasch, Joachim, 2014. "Evolutionary model of the bank size distribution," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-16.
    • Handle: RePEc:zbw:ifweej:201410
    DOI: 10.5018/economics-ejournal.ja.2014-10
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.5018/economics-ejournal.ja.2014-10
    Download Restriction: no
    File URL: https://www.econstor.eu/bitstream/10419/93135/1/779993993.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.5018/economics-ejournal.ja.2014-10?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Enrique Benito, 2008. "Size, growth and bank dynamics," Working Papers 0801, Banco de España.
    2. Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management.
    3. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    4. Berger, Allen N. & Demsetz, Rebecca S. & Strahan, Philip E., 1999. "The consolidation of the financial services industry: Causes, consequences, and implications for the future," Journal of Banking & Finance, Elsevier, vol. 23(2-4), pages 135-194, February.
    5. Kaldasch, Joachim, 2012. "Evolutionary model of the growth and size of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3751-3769.
    6. Tschoegl, Adrian E, 1983. "Size, Growth, and Transnationality among the World's Largest Banks," The Journal of Business, University of Chicago Press, vol. 56(2), pages 187-201, April.
    7. Rhoades, Stephen A & Yeats, Alexander J, 1974. "Growth, Consolidation and Mergers in Banking," Journal of Finance, American Finance Association, vol. 29(5), pages 1397-1405, December.
    8. Alex Saichev & Yannick Malevergne & Didier Sornette, 2010. "Theory of Zipf's Law and Beyond," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-02946-2, December.
    9. Goddard, John & Molyneux, Phil & Wilson, John O S, 2004. "Dynamics of Growth and Profitability in Banking," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1069-1090, December.
    10. Berger, Allen N. & Hunter, William C. & Timme, Stephen G., 1993. "The efficiency of financial institutions: A review and preview of research past, present and future," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 221-249, April.
    11. Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
    12. Huberto M. Ennis, 2001. "On the size distribution of banks," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 1-25.
    13. Yeats, Alexander J & Irons, Edward D & Rhoades, Stephen A, 1975. "An Analysis of New Bank Growth," The Journal of Business, University of Chicago Press, vol. 48(2), pages 199-203, April.
    14. Goddard, John A. & McKillop, Donal G. & Wilson, John O. S., 2002. "The growth of US credit unions," Journal of Banking & Finance, Elsevier, vol. 26(12), pages 2327-2356.
    15. J. O. S. Wilson & J. M. Williams, 2000. "The size and growth of banks: evidence from four European countries," Applied Economics, Taylor & Francis Journals, vol. 32(9), pages 1101-1109.
    16. Peter Richmond & Sorin Solomon, 2000. "Power Laws are Boltzmann Laws in Disguise," Papers cond-mat/0010222, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. He, Jianmin & Sui, Xin & Li, Shouwei, 2016. "An endogenous model of the credit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 1-14.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Enrique Benito, 2008. "Size, growth and bank dynamics," Working Papers 0801, Banco de España.
    2. Goddard, John A. & McKillop, Donal G. & Wilson, John O. S., 2002. "The growth of US credit unions," Journal of Banking & Finance, Elsevier, vol. 26(12), pages 2327-2356.
    3. Mamun, Abdullah, 2023. "Understanding growth and its policy implications for Canadian credit unions," International Review of Economics & Finance, Elsevier, vol. 86(C), pages 652-665.
    4. Liñares-Zegarra, José & Wilson, John O.S., 2018. "The size and growth of microfinance institutions," The British Accounting Review, Elsevier, vol. 50(2), pages 199-213.
    5. Canarella, Giorgio & Miller, Stephen M., 2018. "The determinants of growth in the U.S. information and communication technology (ICT) industry: A firm-level analysis," Economic Modelling, Elsevier, vol. 70(C), pages 259-271.
    6. Ann-Marie Ward & Donal G. McKillop, 2005. "The Law of Proportionate Effect: The Growth of the UK Credit Union Movement at National and Regional Level," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 32(9-10), pages 1827-1859.
    7. Arranz Sombría, M. Rosa & Miralles-Quirós, José Luis & Daza-Izquierdo, Julio, 2017. "Interrelación entre el crecimiento y la rentabilidad de la banca comercial en España/Interrelation between Growth and Profitability in Spanish Commercial Banks," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 35, pages 611-628, Agosto.
    8. Ann‐Marie Ward & Donal G. McKillop, 2005. "The Law of Proportionate Effect: The Growth of the UK Credit Union Movement at National and Regional Level," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 32(9‐10), pages 1827-1859, November.
    9. Peik Granlund, 2004. "Economic evaluation of bank exit regimes in US, EU and Japanese financial centres," Finance 0405002, University Library of Munich, Germany.
    10. Wilson, John O.S. & Casu, Barbara & Girardone, Claudia & Molyneux, Philip, 2010. "Emerging themes in banking: Recent literature and directions for future research," The British Accounting Review, Elsevier, vol. 42(3), pages 153-169.
    11. Hubert P. Janicki & Edward Simpson Prescott, 2006. "Changes in the size distribution of U.S. banks: 1960-2005," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 92(Fall), pages 291-316.
    12. Smerlak, Matteo, 2016. "Thermodynamics of inequalities: From precariousness to economic stratification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 40-50.
    13. Daphne Hameeteman & Bert Scholtens, 2000. "Size, Growth, and Variance among the World's Largest Non-merged Banks," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 7(3), pages 313-323.
    14. G. Willis, 2004. "Laser Welfare: First Steps in Econodynamic Engineering," Papers cond-mat/0408227, arXiv.org.
    15. Willis, Geoff, 2011. "Why money trickles up – wealth & income distributions," MPRA Paper 30851, University Library of Munich, Germany.
    16. Granlund, Peik, 2003. "Economic evaluation of bank exit regimes in US, EU and Japanese financial centres," Bank of Finland Research Discussion Papers 5/2003, Bank of Finland.
    17. repec:zbw:bofrdp:2003_005 is not listed on IDEAS
    18. Kontsevoy, Denis, 2013. "Empirical analysis of Russian commercial banks growth dynamics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 29(1), pages 67-81.
    19. Davide Fiaschi & Imre Kondor & Matteo Marsili & Valerio Volpati, 2014. "The Interrupted Power Law and the Size of Shadow Banking," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-8, April.
    20. Rafael Wildauer & Stuart Leitch & Jakob Kapeller, 2021. "A European Wealth Tax for a Fair and Green Recovery," ICAE Working Papers 129, Johannes Kepler University, Institute for Comprehensive Analysis of the Economy.
    21. Maria de Mar Miralles-Quiros & José Luis Millares-Quiros & Julio Daza-Izquierdo, 2017. "Gibrat’s law test on Brazilian commercial banks," Contaduría y Administración, Accounting and Management, vol. 62(5), pages 29-30, Diciembre.

    More about this item

    Keywords

    Evolutionary economics; bank size; money; competition; Gibrat's law;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Kaleckian

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:ifweej:201410. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/iwkiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.