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Optimal Return in a Model of Bank Small-business Financing

This paper develops a simple model showing how banks can increase the access to finance of small, risky firms by mitigating coordination problems among investors. If investors observe a biased signal about the true implementation cost of real sector projects, the model can be solved for a switching equilibrium in the classical global games approach. We show that the socially optimal interest rate that maximizes the probability of success of the firm is higher than the risk-free rate. Yet if banks maximize investors' expected return, they would choose an interest higher than the socially optimal one. This gives rise to a form of credit rationing, which stems from the funding constraints of the banks.

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File URL: http://hal-essec.archives-ouvertes.fr/docs/00/95/26/41/PDF/WP1403.pdf
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Paper provided by ESSEC Research Center, ESSEC Business School in its series ESSEC Working Papers with number WP1403.

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Length: 23 pages
Date of creation: Feb 2014
Date of revision:
Handle: RePEc:ebg:essewp:dr-14003
Contact details of provider: Postal: ESSEC Research Center, BP 105, 95021 Cergy, France
Web page: http://www.essec.edu/
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  1. Rajkamal Iyer & José-Luis Peydró & Samuel da-Rocha-Lopes & Antoinette Schoar, 2014. "Interbank Liquidity Crunch and the Firm Credit Crunch: Evidence from the 2007--2009 Crisis," Review of Financial Studies, Society for Financial Studies, vol. 27(1), pages 347-372, January.
  2. Stephen Morris & Hyun Song Shin, 1999. "Coordination Risk and the Price of Debt," Cowles Foundation Discussion Papers 1241, Cowles Foundation for Research in Economics, Yale University.
  3. Carlsson, H. & van Damme, E.E.C., 1993. "Global games and equilibrium selection," Other publications TiSEM 49a54f00-dcec-4fc1-9488-4, Tilburg University, School of Economics and Management.
  4. Stephen Morris & Hyun Song Shin, 2001. "Rethinking Multiple Equilibria in Macroeconomic Modeling," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 139-182 National Bureau of Economic Research, Inc.
  5. Berger, Allen N. & Black, Lamont K., 2011. "Bank size, lending technologies, and small business finance," Journal of Banking & Finance, Elsevier, vol. 35(3), pages 724-735, March.
  6. Petersen, Mitchell A & Rajan, Raghuram G, 1994. " The Benefits of Lending Relationships: Evidence from Small Business Data," Journal of Finance, American Finance Association, vol. 49(1), pages 3-37, March.
  7. Sumit Agarwal, 2010. "Distance and Private Information in Lending," Review of Financial Studies, Society for Financial Studies, vol. 23(7), pages 2757-2788, July.
  8. Morris, Stephen & Shin, Hyun Song, 1997. "Unique Equilibrium in a Model of Self-fulfilling Currency Attacks," CEPR Discussion Papers 1687, C.E.P.R. Discussion Papers.
  9. Rochet, Jean-Charles & Vives, Xavier, 2004. "Coordination Failures and the Lender of Last Resort : Was Bagehot Right After All?," IDEI Working Papers 294, Institut d'Économie Industrielle (IDEI), Toulouse.
  10. Allen N. Berger & Gregory F. Udell, 2001. "Small business credit availability and relationship lending: the importance of bank organizational structure," Finance and Economics Discussion Series 2001-36, Board of Governors of the Federal Reserve System (U.S.).
  11. Allen N. Berger & Klaus Schaeck, 2011. "Small and Medium‐Sized Enterprises, Bank Relationship Strength, and the Use of Venture Capital," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 461-490, 03.
  12. Agur, Itai, 2013. "Wholesale bank funding, capital requirements and credit rationing," Journal of Financial Stability, Elsevier, vol. 9(1), pages 38-45.
  13. Mitchell A. Petersen & Raghuram G. Rajan, 1994. "The Effect of Credit Market Competition on Lending Relationships," NBER Working Papers 4921, National Bureau of Economic Research, Inc.
  14. Greenbaum, Stuart I. & Kanatas, George & Venezia, Itzhak, 1989. "Equilibrium loan pricing under the bank-client relationship," Journal of Banking & Finance, Elsevier, vol. 13(2), pages 221-235, May.
  15. Degryse, Hans & Van Cayseele, Patrick, 2000. "Relationship Lending within a Bank-Based System: Evidence from European Small Business Data," Journal of Financial Intermediation, Elsevier, vol. 9(1), pages 90-109, January.
  16. Bartoli, Francesca & Ferri, Giovanni & Murro, Pierluigi & Rotondi, Zeno, 2013. "SME financing and the choice of lending technology in Italy: Complementarity or substitutability?," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5476-5485.
  17. Berger, Allen N. & Udell, Gregory F., 2006. "A more complete conceptual framework for SME finance," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 2945-2966, November.
  18. Rajan, Raghuram G, 1992. " Insiders and Outsiders: The Choice between Informed and Arm's-Length Debt," Journal of Finance, American Finance Association, vol. 47(4), pages 1367-400, September.
  19. Boot, Arnoud W. A., 2000. "Relationship Banking: What Do We Know?," Journal of Financial Intermediation, Elsevier, vol. 9(1), pages 7-25, January.
  20. Asim Ijaz Khwaja & Atif Mian, 2008. "Tracing the Impact of Bank Liquidity Shocks: Evidence from an Emerging Market," American Economic Review, American Economic Association, vol. 98(4), pages 1413-42, September.
  21. Harhoff, Dietmar & Korting, Timm, 1998. "Lending relationships in Germany - Empirical evidence from survey data," Journal of Banking & Finance, Elsevier, vol. 22(10-11), pages 1317-1353, October.
  22. Daniel Paravisini, 2008. "Local Bank Financial Constraints and Firm Access to External Finance," Journal of Finance, American Finance Association, vol. 63(5), pages 2161-2193, October.
  23. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-23.
  24. Agur, Itai, 2012. "Credit rationing when banks are funding constrained," The North American Journal of Economics and Finance, Elsevier, vol. 23(2), pages 220-227.
  25. Cole, Rebel A., 1998. "The importance of relationships to the availability of credit," Journal of Banking & Finance, Elsevier, vol. 22(6-8), pages 959-977, August.
  26. Berger, Allen N & Udell, Gregory F, 1995. "Relationship Lending and Lines of Credit in Small Firm Finance," The Journal of Business, University of Chicago Press, vol. 68(3), pages 351-81, July.
  27. Jonathan Scott, 2004. "Small Business and the Value of Community Financial Institutions," Journal of Financial Services Research, Springer, vol. 25(2), pages 207-230, April.
  28. Stiglitz, Joseph E & Weiss, Andrew, 1981. "Credit Rationing in Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 71(3), pages 393-410, June.
  29. Boot, Arnoud W A & Thakor, Anjan V, 1994. "Moral Hazard and Secured Lending in an Infinitely Repeated Credit Market Game," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 899-920, November.
  30. Beck, Thorsten & Demirguc-Kunt, Asli, 2006. "Small and medium-size enterprises: Access to finance as a growth constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 2931-2943, November.
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