IDEAS home Printed from https://ideas.repec.org/p/fip/fedpwp/14-13.html
   My bibliography  Save this paper

Capital requirements in a quantitative model of banking industry dynamics

Author

Listed:
  • Dean Corbae
  • Pablo D'Erasmo

Abstract

We develop a model of banking industry dynamics to study the quantitative impact of capital requirements on bank risk taking, commercial bank failure, and market structure. We propose a market structure where big, dominant banks interact with small, competitive fringe banks. Banks accumulate securities like Treasury bills and undertake short-term borrowing when there are cash flow shortfalls. A nontrivial size distribution of banks arises out of endogenous entry and exit, as well as banks? buffer stocks of securities. We test the model using business cycle properties and the bank lending channel across banks of different sizes studied by Kashyap and Stein (2000). We find that a rise in capital requirements from 4% to 6% leads to a substantial reduction in exit rates of small banks and a more concentrated industry. Aggregate loan supply falls and interest rates rise by 50 basis points. The lower exit rate causes the tax/output rate necessary to fund deposit insurance to drop in half. Higher interest rates, however, induce higher loan delinquencies as well as a lower level of intermediated output.

Suggested Citation

  • Dean Corbae & Pablo D'Erasmo, 2014. "Capital requirements in a quantitative model of banking industry dynamics," Working Papers 14-13, Federal Reserve Bank of Philadelphia.
  • Handle: RePEc:fip:fedpwp:14-13
    Note: SUPERSEDED BY WP 21-24
    as

    Download full text from publisher

    File URL: https://www.philadelphiafed.org/-/media/frbp/assets/working-papers/2014/wp14-13.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stein, Jeremy C, 1988. "Takeover Threats and Managerial Myopia," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 61-80, February.
    2. Hughes, Joseph P. & Mester, Loretta J. & Moon, Choon-Geol, 2001. "Are scale economies in banking elusive or illusive?: Evidence obtained by incorporating capital structure and risk-taking into models of bank production," Journal of Banking & Finance, Elsevier, vol. 25(12), pages 2169-2208, December.
    3. Christopher A. Hennessy & Toni M. Whited, 2007. "How Costly Is External Financing? Evidence from a Structural Estimation," Journal of Finance, American Finance Association, vol. 62(4), pages 1705-1745, August.
    4. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    5. Allen N. Berger & Timothy H. Hannan, 1998. "The Efficiency Cost Of Market Power In The Banking Industry: A Test Of The "Quiet Life" And Related Hypotheses," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 454-465, August.
    6. 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.
    7. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    8. Estrella, Arturo, 2004. "The cyclical behavior of optimal bank capital," Journal of Banking & Finance, Elsevier, vol. 28(6), pages 1469-1498, June.
    9. Rafael Repullo & Javier Suarez, 2013. "The Procyclical Effects of Bank Capital Regulation," The Review of Financial Studies, Society for Financial Studies, vol. 26(2), pages 452-490.
    10. Liangliang Jiang & Ross Levine & Chen Lin, 2023. "Does Competition Affect Bank Risk?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 55(5), pages 1043-1076, August.
    11. Laurent Clerc & Alexis Derviz & Caterina Mendicino & Stephane Moyen & Kalin Nikolov & Livio Stracca & Javier Suarez & Alexandros P. Vardoulakis, 2015. "Capital Regulation in a Macroeconomic Model with Three Layers of Default," International Journal of Central Banking, International Journal of Central Banking, vol. 11(3), pages 9-63, June.
    12. Ariel Pakes & Paul McGuire, 1994. "Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model," RAND Journal of Economics, The RAND Corporation, vol. 25(4), pages 555-589, Winter.
    13. Dean Corbae & Pablo D'Erasmo, 2015. "Foreign Competition and Banking Industry Dynamics," 2015 Meeting Papers 1205, Society for Economic Dynamics.
    14. Dean Corbae & Pablo D’Erasmo, 2015. "Foreign Competition and Banking Industry Dynamics: An Application to Mexico," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 63(4), pages 830-867, November.
    15. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    16. Franklin Allen & Douglas Gale, 2004. "Competition and financial stability," Proceedings, Federal Reserve Bank of Cleveland, pages 453-486.
    17. Di Nicolo, G. & Gamba, A. & Lucchetta, M., 2011. "Capital Regulation, Liquidity Requirements and Taxation in a Dynamic Model of Banking," Other publications TiSEM 58ac9f00-92d7-497b-a76f-e, Tilburg University, School of Economics and Management.
    18. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    19. Javier Bianchi & Saki Bigio, 2022. "Banks, Liquidity Management, and Monetary Policy," Econometrica, Econometric Society, vol. 90(1), pages 391-454, January.
    20. Minnick, Kristina & Rosenthal, Leonard, 2014. "Stealth compensation: Do CEOs increase their pay by influencing dividend policy?," Journal of Corporate Finance, Elsevier, vol. 25(C), pages 435-454.
    21. Mark Egan & Ali Hortaçsu & Gregor Matvos, 2017. "Deposit Competition and Financial Fragility: Evidence from the US Banking Sector," American Economic Review, American Economic Association, vol. 107(1), pages 169-216, January.
    22. Aliaga-Díaz, Roger & Olivero, María Pía, 2012. "Do Bank Capital Requirements Amplify Business Cycles? Bridging The Gap Between Theory And Empirics," Macroeconomic Dynamics, Cambridge University Press, vol. 16(3), pages 358-395, June.
    23. Gabriel Jiménez & Steven Ongena & José‐Luis Peydró & Jesús Saurina, 2014. "Hazardous Times for Monetary Policy: What Do Twenty‐Three Million Bank Loans Say About the Effects of Monetary Policy on Credit Risk‐Taking?," Econometrica, Econometric Society, vol. 82(2), pages 463-505, March.
    24. Acharya, Viral V. & Thakor, Anjan V., 2016. "The dark side of liquidity creation: Leverage and systemic risk," Journal of Financial Intermediation, Elsevier, vol. 28(C), pages 4-21.
    25. Francis X. Diebold & Kamil Yilmaz, 2009. "Measuring Financial Asset Return and Volatility Spillovers, with Application to Global Equity Markets," Economic Journal, Royal Economic Society, vol. 119(534), pages 158-171, January.
    26. John H. Boyd & Gianni De Nicoló, 2005. "The Theory of Bank Risk Taking and Competition Revisited," Journal of Finance, American Finance Association, vol. 60(3), pages 1329-1343, June.
    27. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    28. David Martinez-Miera & Rafael Repullo, 2010. "Does Competition Reduce the Risk of Bank Failure?," Review of Financial Studies, Society for Financial Studies, vol. 23(10), pages 3638-3664, October.
    29. R. David Mclean & Mengxin Zhao, 2014. "The Business Cycle, Investor Sentiment, and Costly External Finance," Journal of Finance, American Finance Association, vol. 69(3), pages 1377-1409, June.
    30. Victor Aguirregabiria & Robert Clark & Hui Wang, 2016. "Diversification of geographic risk in retail bank networks: evidence from bank expansion after the Riegle-Neal Act," RAND Journal of Economics, RAND Corporation, vol. 47(3), pages 529-572, August.
    31. Van den Heuvel, Skander J., 2008. "The welfare cost of bank capital requirements," Journal of Monetary Economics, Elsevier, vol. 55(2), pages 298-320, March.
    32. Simona Cociuba & Malik Shukayev & Alexander Ueberfeldt, 2011. "Do Low Interest Rates Sow the Seeds of Financial Crises?," Staff Working Papers 11-31, Bank of Canada.
    33. Douglas Gale & Onur Özgür, 2005. "Are Bank Capital Ratios too High or too Low? Incomplete Markets and Optimal Capital Structure," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 690-700, 04/05.
    34. Juliane M. Begenau, 2015. "Capital Requirements, Risk Choice, and Liquidity Provision in a Business Cycle Model," Harvard Business School Working Papers 15-072, Harvard Business School, revised Sep 2016.
    35. Bassett, William F. & Chosak, Mary Beth & Driscoll, John C. & Zakrajšek, Egon, 2014. "Changes in bank lending standards and the macroeconomy," Journal of Monetary Economics, Elsevier, vol. 62(C), pages 23-40.
    36. Jeremy C. Stein & Anil K. Kashyap, 2000. "What Do a Million Observations on Banks Say about the Transmission of Monetary Policy?," American Economic Review, American Economic Association, vol. 90(3), pages 407-428, June.
    37. João Granja & Gregor Matvos & Amit Seru, 2017. "Selling Failed Banks," Journal of Finance, American Finance Association, vol. 72(4), pages 1723-1784, August.
    38. Bar Ifrach & Gabriel Y. Weintraub, 2017. "A Framework for Dynamic Oligopoly in Concentrated Industries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(3), pages 1106-1150.
    39. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & José-Víctor Ríos-Rull, 2007. "A Quantitative Theory of Unsecured Consumer Credit with Risk of Default," Econometrica, Econometric Society, vol. 75(6), pages 1525-1589, November.
    40. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    41. den Haan, Wouter J. & Sumner, Steven W. & Yamashiro, Guy M., 2007. "Bank loan portfolios and the monetary transmission mechanism," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 904-924, April.
    42. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    43. Haibin Zhu, 2008. "Capital Regulation and Banks' Financial Decisions," International Journal of Central Banking, International Journal of Central Banking, vol. 4(1), pages 165-211, March.
    44. Gautam Gowrisankaran & Thomas J. Holmes, 2004. "Mergers and the Evolution of Industry Concentration: Results from the Dominant-Firm Model," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 561-582, Autumn.
    45. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    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. Dean Corbae & Pablo D'Erasmo, 2021. "Capital Buffers in a Quantitative Model of Banking Industry Dynamics," Econometrica, Econometric Society, vol. 89(6), pages 2975-3023, November.
    2. Dean Corbae & Pablo D'Erasmo, 2021. "Capital Buffers in a Quantitative Model of Banking Industry Dynamics," Working Papers 21-24, Federal Reserve Bank of Philadelphia.
    3. Corbae, Dean & D’Erasmo, Pablo, 2020. "Rising bank concentration," Journal of Economic Dynamics and Control, Elsevier, vol. 115(C).
    4. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    5. Ogawa, Toshiaki, 2022. "Welfare implications of bank capital requirements under dynamic default decisions," Journal of Economic Dynamics and Control, Elsevier, vol. 138(C).
    6. Di Nicolo, G. & Gamba, A. & Lucchetta, M., 2011. "Capital Regulation, Liquidity Requirements and Taxation in a Dynamic Model of Banking," Discussion Paper 2011-090, Tilburg University, Center for Economic Research.
    7. Robin Dottling, 2018. "Bank Capital Regulation in a Zero Interest Environment," Tinbergen Institute Discussion Papers 18-016/IV, Tinbergen Institute, revised 11 Oct 2019.
    8. Kok, Christoffer & Gross, Marco & Żochowski, Dawid, 2016. "The impact of bank capital on economic activity - evidence from a mixed-cross-section GVAR model," Working Paper Series 1888, European Central Bank.
    9. Toshiaki Ogawa, 2020. "Welfare Implications of Bank Capital Requirements under Dynamic Default Decisions," IMES Discussion Paper Series 20-E-03, Institute for Monetary and Economic Studies, Bank of Japan.
    10. Jochen Mankart & Alexander Michaelides & Spyros Pagratis, 2020. "Bank capital buffers in a dynamic model," Financial Management, Financial Management Association International, vol. 49(2), pages 473-502, June.
    11. Kyle F. Herkenhoff & Gajendran Raveendranathan, 2019. "Who Bears the Welfare Costs of Monopoly? The Case of the Credit Card Industry," Working Papers 2019-071, Human Capital and Economic Opportunity Working Group.
    12. Dean Corbae & Pablo D’Erasmo, 2015. "Foreign Competition and Banking Industry Dynamics: An Application to Mexico," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 63(4), pages 830-867, November.
    13. Martin Berka & Christian Zimmermann, 2018. "The Basel Accord and Financial Intermediation: The Impact of Policy," Review, Federal Reserve Bank of St. Louis, vol. 100(2), pages 171-200.
    14. Beck, T.H.L., 2011. "The Role of Finance in Economic Development : Benefits, Risks, and Politics," Discussion Paper 2011-141, Tilburg University, Center for Economic Research.
    15. Matthieu Darracq Paries, 2018. "Financial frictions and monetary policy conduct," Erudite Ph.D Dissertations, Erudite, number ph18-01 edited by Ferhat Mihoubi, December.
    16. Jermann, Urban & Xiang, Haotian, 2023. "Dynamic banking with non-maturing deposits," Journal of Economic Theory, Elsevier, vol. 209(C).
    17. Feld, Lars P. & Schmidt, Christoph M. & Schnabel, Isabel & Truger, Achim & Wieland, Volker, 2019. "Den Strukturwandel meistern. Jahresgutachten 2019/20 [Dealing with Structural Change. Annual Report 2019/20]," Annual Economic Reports / Jahresgutachten, German Council of Economic Experts / Sachverständigenrat zur Begutachtung der gesamtwirtschaftlichen Entwicklung, volume 127, number 201920.
    18. BARRA, Cristian & ZOTTI, Roberto, 2017. "Bank Performance, Financial Stability and Market Competition: do Cooperative and Non-Cooperative Banks Behave Differently?," CELPE Discussion Papers 143, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    19. Toshiaki Ogawa, 2020. "Liquidity Management of Heterogeneous Banks during the Great Recession," IMES Discussion Paper Series 20-E-05, Institute for Monetary and Economic Studies, Bank of Japan.
    20. González, Luis Otero & Razia, Alaa & Búa, Milagros Vivel & Sestayo, Rubén Lado, 2017. "Competition, concentration and risk taking in Banking sector of MENA countries," Research in International Business and Finance, Elsevier, vol. 42(C), pages 591-604.

    More about this item

    Keywords

    Banking; Capital requirements; Risk; Commercial bank failure; Market structure;
    All these keywords.

    JEL classification:

    • 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
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    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:fip:fedpwp:14-13. 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: Beth Paul (email available below). General contact details of provider: https://edirc.repec.org/data/frbphus.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.