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Optimal Return in a Model of Bank Small-business Financing

Author

Listed:
  • Oana Peia

    (ESSEC Business School and THEMA (UMR 8184) - ESSEC Business School - THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

  • Radu Vranceanu

    (ESSEC Business School and THEMA (UMR 8184) - ESSEC Business School - THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

Abstract
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.

Suggested Citation

  • Oana Peia & Radu Vranceanu, 2014. "Optimal Return in a Model of Bank Small-business Financing," Working Papers hal-00952641, HAL.
    • Handle: RePEc:hal:wpaper:hal-00952641
    Note: View the original document on HAL open archive server: https://essec.hal.science/hal-00952641
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    References listed on IDEAS

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    More about this item

    Keywords

    Bank finance; small business; global games; switching equilibrium; optimal return rium; optimal return;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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