IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/122102.html

Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks

Author

Listed:
  • Guerrazzi, Marco

Abstract

In this note, I evaluate the private and the social welfare gains that in the Diamond-Dybvig model of bank runs characterize the switch from a decentralized to a centralized equilibrium that may hold even in an atomistic environment with banking intermediation. Specifically, relying on logarithmic preferences, I show that such a social welfare gain is an increasing function of the discount rate of more patient agents. Moreover, I show that for each level of the discount rate of patient agents, there is an optimal value of the proportion of these agents in the economy that maximizes the social welfare gain.

Suggested Citation

  • Guerrazzi, Marco, 2024. "Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks," MPRA Paper 122102, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:122102
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/122102/1/MPRA_paper_122102.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bengt Holmstrom & Jean Tirole, 1998. "Private and Public Supply of Liquidity," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 1-40, February.
    2. Gu, Chao & Monnet, Cyril & Nosal, Ed & Wright, Randall, 2023. "Diamond–Dybvig and beyond: On the instability of banking," European Economic Review, Elsevier, vol. 154(C).
    3. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    4. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    5. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
    6. Lloyd-Smith, Patrick & Adamowicz, Wiktor & Entem, Alicia & Fenichel, Eli P. & Rouhi Rad, Mani, 2021. "The decade after tomorrow: Estimation of discount rates from realistic temporal decisions over long time horizons," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 158-174.
    7. Rajan, Raghuram G. & Zingales, Luigi, 2003. "The great reversals: the politics of financial development in the twentieth century," Journal of Financial Economics, Elsevier, vol. 69(1), pages 5-50, July.
    8. Mark Gertler & Nobuhiro Kiyotaki, 2015. "Banking, Liquidity, and Bank Runs in an Infinite Horizon Economy," American Economic Review, American Economic Association, vol. 105(7), pages 2011-2043, July.
    9. Douglas W. Diamond & Raghuram G. Rajan, 2001. "Liquidity Risk, Liquidity Creation, and Financial Fragility: A Theory of Banking," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 287-327, April.
    Full references (including those not matched with items on IDEAS)

    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. Mattana, Elena & Panetti, Ettore, 2014. "A dynamic quantitative macroeconomic model of bank runs," LIDAM Discussion Papers CORE 2014068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Pardo-Figueroa, Renzo, 2026. "State-dependent assessment of the deposit–credit channel in Latin America," Emerging Markets Review, Elsevier, vol. 73(C).
    3. Bordo, M.D. & Meissner, C.M., 2016. "Fiscal and Financial Crises," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 355-412, Elsevier.
    4. Goldstein, Itay & Razin, Assaf, 2015. "Three Branches of Theories of Financial Crises," Foundations and Trends(R) in Finance, now publishers, vol. 10(2), pages 113-180, 30.
    5. Michiel Bijlsma & Wouter Elsenburg & Michiel van Leuvensteijn, 2010. "Four Futures for Finance; A scenario study," CPB Document 211.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    6. Chatterji, Shurojit & Ghosal, Sayantan, 2010. "Liquidity, moral hazard and bank crises," CAGE Online Working Paper Series 27, Competitive Advantage in the Global Economy (CAGE).
    7. Berger, Allen N. & Boot, Arnoud W.A., 2024. "Financial intermediation services and competition analyses: Review and paths forward for improvement," Journal of Financial Intermediation, Elsevier, vol. 57(C).
    8. Altermatt, Lukas & van Buggenum, Hugo & Voellmy, Lukas, 2024. "Systemic bank runs without aggregate risk: How a misallocation of liquidity may trigger a solvency crisis," Journal of Financial Economics, Elsevier, vol. 161(C).
    9. James J. McAndrews & William Roberds, 1999. "Payment intermediation and the origins of banking," Staff Reports 85, Federal Reserve Bank of New York.
    10. Abbassi, Puriya & Iyer, Rajkamal & Peydró, José-Luis & Tous, Francesc R., 2016. "Securities trading by banks and credit supply: Micro-evidence from the crisis," Journal of Financial Economics, Elsevier, vol. 121(3), pages 569-594.
    11. Ansgar Walther, 2016. "Jointly Optimal Regulation of Bank Capital and Liquidity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(2-3), pages 415-448, March.
    12. Berger, Allen N. & Sedunov, John, 2017. "Bank liquidity creation and real economic output," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 1-19.
    13. Ryo Kato & Takayuki Tsuruga, 2022. "Pecuniary externalities, bank overleverage, and macroeconomic fragility," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 554-577, December.
    14. Jungu Yang, 2018. "The Banks' Swansong: Banking and the Financial Markets under Asymmetric Information," Working Papers 2018-16, Economic Research Institute, Bank of Korea.
    15. DeAngelo, Harry & Stulz, René M., 2015. "Liquid-claim production, risk management, and bank capital structure: Why high leverage is optimal for banks," Journal of Financial Economics, Elsevier, vol. 116(2), pages 219-236.
    16. Martin Hellwig, 2005. "Market Discipline, Information Processing, and Corporate Governance," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2005_19, Max Planck Institute for Behavioral Economics.
    17. DeAngelo, Harry, 2021. "Corporate financial policy: What really matters?," Journal of Corporate Finance, Elsevier, vol. 68(C).
    18. Kreamer, Jonathan, 2022. "Financial intermediation and the supply of liquidity," Journal of Financial Stability, Elsevier, vol. 61(C).
    19. von Thadden, Ernst-Ludwig, 1999. "Liquidity creation through banks and markets: Multiple insurance and limited market access," European Economic Review, Elsevier, vol. 43(4-6), pages 991-1006, April.
    20. Pablo Federico, 2012. "Developing an Index of Liquidity-Risk Exposure: An Application to Latin American and Caribbean Banking Systems," Research Department Publications 4811, Inter-American Development Bank, Research Department.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • E02 - Macroeconomics and Monetary Economics - - General - - - Institutions and the Macroeconomy
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:122102. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.