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Bank monitoring incentives under moral hazard and adverse selection

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  • Nicolás Hernández Santibáñez

    (DIM - Departamento de Ingeniera Matematica [Santiago], CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

  • Dylan Possamaï

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

  • Chao Zhou

    (NUS - National University of Singapore)

Abstract

In this paper, we extend the optimal securitization model of Pagès [41] and Possamaï and Pagès [42] between an investor and a bank to a setting allowing both moral hazard and adverse selection. Following the recent approach to these problems of Cvitanić, Wan and Yang [12], we characterize explicitly and rigorously the so-called credible set of the continuation and temptation values of the bank, and obtain the value function of the investor as well as the optimal contracts through a recursive system of first-order variational inequalities with gradient constraints. We provide a detailed discussion of the properties of the optimal menu of contracts.

Suggested Citation

  • Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2020. "Bank monitoring incentives under moral hazard and adverse selection," Post-Print hal-01435460, HAL.
    • Handle: RePEc:hal:journl:hal-01435460
    DOI: 10.1007/s10957-019-01621-9
    Note: View the original document on HAL open archive server: https://hal.science/hal-01435460
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    References listed on IDEAS

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    2. Daniel E. Rigobon & Ronnie Sircar, 2022. "Formation of Optimal Interbank Lending Networks under Liquidity Shocks," Papers 2211.12404, arXiv.org.

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