IDEAS home Printed from https://ideas.repec.org/a/kap/rqfnac/v46y2016i4d10.1007_s11156-014-0483-z.html
   My bibliography  Save this article

Credit line takedown and endogenous bank capital

Author

Listed:
  • Bryan Stanhouse

    (University of Oklahoma)

  • Duane Stock

    (University of Oklahoma)

Abstract

This paper investigates the implications of the uncertain timing and usage of loan commitments for the optimal level of bank capital. We use trended Brownian motion to proxy the stochastic takedown of credit lines. Relying on “time to first passage” mathematics, we derive a probability density function for the time to depletion of the bank credit line as well as the likelihood for the time to exhausting the sources of liquidity that fund the loan takedown. Armed with these analytical results, we solve for the optimal level of bank capital within a simultaneous equation framework in order to capture the interrelationships of the endogenous variables. The optimality conditions produce a system of integral differential equations which refuse to yield reduced form solutions and provide no immediate intuition. Therefore, the maximizing values of the bank’s decision variables were simulated over a host of realistic scenarios. We document the comparative static behavior of the bank’s decision variables when equity is unencumbered by capital requirements and, also, examine the impact of the same parametric changes on bank behavior when equity is a fixed proportion of lending. Further simulations produce the expected time to liquidity depletion under different capital requirement schemes.

Suggested Citation

  • Bryan Stanhouse & Duane Stock, 2016. "Credit line takedown and endogenous bank capital," Review of Quantitative Finance and Accounting, Springer, vol. 46(4), pages 691-723, May.
    • Handle: RePEc:kap:rqfnac:v:46:y:2016:i:4:d:10.1007_s11156-014-0483-z
    DOI: 10.1007/s11156-014-0483-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11156-014-0483-z
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11156-014-0483-z?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Evan Gatev & Til Schuermann & Philip E. Strahan, 2009. "Managing Bank Liquidity Risk: How Deposit-Loan Synergies Vary with Market Conditions," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 995-1020, March.
    2. Darius Palia & Robert Porter, 2004. "The Impact of Capital Requirements and Managerial Compensation on Bank Charter Value," Review of Quantitative Finance and Accounting, Springer, vol. 23(3), pages 191-206, November.
    3. Douglas W. Diamond & Raghuram G. Rajan, 2005. "Liquidity Shortages and Banking Crises," Journal of Finance, American Finance Association, vol. 60(2), pages 615-647, April.
    4. Anil K. Kashyap & Raghuram Rajan & Jeremy C. Stein, 2002. "Banks as Liquidity Providers: An Explanation for the Coexistence of Lending and Deposit‐taking," Journal of Finance, American Finance Association, vol. 57(1), pages 33-73, February.
    5. Kopecky, Kenneth J. & VanHoose, David, 2004. "A model of the monetary sector with and without binding capital requirements," Journal of Banking & Finance, Elsevier, vol. 28(3), pages 633-646, March.
    6. Jeremy C. Stein, 1998. "An Adverse-Selection Model of Bank Asset and Liability Management with Implications for the Transmission of Monetary Policy," RAND Journal of Economics, The RAND Corporation, vol. 29(3), pages 466-486, Autumn.
    7. Asquith, Paul & Mullins, David Jr., 1986. "Equity issues and offering dilution," Journal of Financial Economics, Elsevier, vol. 15(1-2), pages 61-89.
    8. Evan Gatev & Philip E. Strahan, 2006. "Banks' Advantage in Hedging Liquidity Risk: Theory and Evidence from the Commercial Paper Market," Journal of Finance, American Finance Association, vol. 61(2), pages 867-892, April.
    9. Deshmukh, Sudhakar D & Greenbaum, Stuart I & Kanatas, George, 1982. "Bank Forward Lending in Alternative Funding Environments," Journal of Finance, American Finance Association, vol. 37(4), pages 925-940, September.
    10. Amir Sufi, 2009. "Bank Lines of Credit in Corporate Finance: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1057-1088, March.
    11. Amir Sufi, 2009. "Bank Lines of Credit in Corporate Finance: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1057-1088.
    12. Gao, Xiaohui & Ritter, Jay R., 2010. "The marketing of seasoned equity offerings," Journal of Financial Economics, Elsevier, vol. 97(1), pages 33-52, July.
    13. James R. Barth & Daniel M. Gropper & John S. Jahera, 1998. "A Multi-Country Analysis of Bank Capital and Earnings," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 123-155.
    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. Sameh Jouida, 2019. "Bank capital structure, capital requirements and SRISK across bank ownership types and financial crisis: panel VAR approach," Review of Quantitative Finance and Accounting, Springer, vol. 53(1), pages 295-325, July.
    2. Michael B. Imerman, 2020. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 55(4), pages 1371-1406, November.
    3. Michael B. Imerman, 0. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 0, pages 1-36.

    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. Felipe Restrepo & Lina Cardona‐Sosa & Philip E. Strahan, 2019. "Funding Liquidity without Banks: Evidence from a Shock to the Cost of Very Short‐Term Debt," Journal of Finance, American Finance Association, vol. 74(6), pages 2875-2914, December.
    2. Acharya, Viral & Almeida, Heitor & Ippolito, Filippo & Perez, Ander, 2014. "Credit lines as monitored liquidity insurance: Theory and evidence," Journal of Financial Economics, Elsevier, vol. 112(3), pages 287-319.
    3. Viral V. Acharya & Heitor Almeida & Murillo Campello, 2013. "Aggregate Risk and the Choice between Cash and Lines of Credit," Journal of Finance, American Finance Association, vol. 68(5), pages 2059-2116, October.
    4. Wei, Bin & Yue, Vivian Z., 2020. "Liquidity backstops and dynamic debt runs," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    5. Vitaly M. Bord & João A.C. Santos, 2014. "Banks' Liquidity and the Cost of Liquidity to Corporations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(s1), pages 13-45, February.
    6. Acharya, Viral & Almeida, Heitor & Ippolito, Filippo & Perez, Ander, 2014. "Bank lines of credit as contingent liquidity: A study of covenant violations and their implications," Working Paper Series 1702, European Central Bank.
    7. Heitor Almeida & Murillo Campello & Igor Cunha & Michael S. Weisbach, 2014. "Corporate Liquidity Management: A Conceptual Framework and Survey," Annual Review of Financial Economics, Annual Reviews, vol. 6(1), pages 135-162, December.
    8. Martin Strieborny & Madina Kukenova, 2016. "Investment in Relationship-Specific Assets: Does Finance Matter?," Review of Finance, European Finance Association, vol. 20(4), pages 1487-1515.
    9. Viral V. Acharya & Heitor Almeida & Filippo Ippolito & Ander Perez‐Orive, 2021. "Credit Lines and the Liquidity Insurance Channel," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(5), pages 901-938, August.
    10. Chavaz, Matthieu & Elliott, David, 2020. "Separating retail and investment banking: evidence from the UK," Bank of England working papers 892, Bank of England, revised 18 Feb 2021.
    11. Chodorow-Reich, Gabriel & Darmouni, Olivier & Luck, Stephan & Plosser, Matthew, 2022. "Bank liquidity provision across the firm size distribution," Journal of Financial Economics, Elsevier, vol. 144(3), pages 908-932.
    12. Viral V. Acharya & Nada Mora, 2011. "Are banks passive liquidity backstops? deposit rates and flows during the 2007-2009 crisis," Research Working Paper RWP 11-06, Federal Reserve Bank of Kansas City.
    13. Chen, Hsiao-Jung & Lin, Kuan-Ting, 2016. "How do banks make the trade-offs among risks? The role of corporate governance," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 39-69.
    14. Bouwman, Christa H. S., 2013. "Liquidity: How Banks Create It and How It Should Be Regulated," Working Papers 13-32, University of Pennsylvania, Wharton School, Weiss Center.
    15. Yusuf Yildirim & Anirban Sanyal, 2023. "Financial Stress and Effect on Real Economy: Turkish Experience," Politická ekonomie, Prague University of Economics and Business, vol. 2023(1), pages 46-67.
    16. Darrell Duffie & Cooperman Harry & Stephan Luck & Zachry Wang & Yilin Yang, 2022. "Bank Funding Risk, Reference Rates, and Credit Supply," Staff Reports 1042, Federal Reserve Bank of New York.
    17. Gianmarco Bet & Francesco Dainelli & Eugenio Fabrizi, 2023. "The financial health of a company and the risk of its default: Back to the future," Papers 2302.10140, arXiv.org.
    18. Mitchell Berlin, 2012. "Banks and markets: substitutes, complements, or both?," Business Review, Federal Reserve Bank of Philadelphia, issue Q2, pages 1-10.
    19. Murillo Campello & Heitor Almeida, 2010. "Aggregate Risk and the Choice Between Cash and Lines of Credit," 2010 Meeting Papers 1287, Society for Economic Dynamics.
    20. Imbierowicz, Björn & Rauch, Christian, 2014. "The relationship between liquidity risk and credit risk in banks," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 242-256.

    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:kap:rqfnac:v:46:y:2016:i:4:d:10.1007_s11156-014-0483-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://springer.com .

    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.