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A lending scheme for a system of interconnected banks with probabilistic constraints of failure

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  • Francesco Cordoni
  • Luca Di Persio
  • Luca Prezioso

Abstract

We derive a closed form solution for an optimal control problem related to an interbank lending schemes subject to terminal probability constraints on the failure of banks which are interconnected through a financial network. The derived solution applies to a real banks network by obtaining a general solution when the aforementioned probability constraints are assumed for all the banks. We also present a direct method to compute the systemic relevance parameter for each bank within the network.

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  • Francesco Cordoni & Luca Di Persio & Luca Prezioso, 2019. "A lending scheme for a system of interconnected banks with probabilistic constraints of failure," Papers 1903.06042, arXiv.org, revised Oct 2019.
    • Handle: RePEc:arx:papers:1903.06042
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    References listed on IDEAS

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    1. Docherty, Peter & Wang, Gehong, 2010. "Using synthetic data to evaluate the impact of RTGS on systemic risk in the Australian payments system," Journal of Financial Stability, Elsevier, vol. 6(2), pages 103-117, June.
    2. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    3. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Pham, Huyên, 2010. "Stochastic control under progressive enlargement of filtrations and applications to multiple defaults risk management," Stochastic Processes and their Applications, Elsevier, vol. 120(9), pages 1795-1820, August.
    6. Francesco Cordoni & Luca Di Persio, 2016. "A BSDE with Delayed Generator Approach to Pricing under Counterparty Risk and Collateralization," International Journal of Stochastic Analysis, Hindawi, vol. 2016, pages 1-11, August.
    7. L. C. G. Rogers & L. A. M. Veraart, 2013. "Failure and Rescue in an Interbank Network," Management Science, INFORMS, vol. 59(4), pages 882-898, April.
    8. Alexander Lipton, 2016. "Modern Monetary Circuit Theory, Stability Of Interconnected Banking Network, And Balance Sheet Optimization For Individual Banks," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 1-57, September.
    9. Bruno Bouchard & Ngoc-Minh Dang, 2013. "Generalized stochastic target problems for pricing and partial hedging under loss constraints—application in optimal book liquidation," Finance and Stochastics, Springer, vol. 17(1), pages 31-72, January.
    10. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
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    Cited by:

    1. Francesco Giuseppe Cordoni & Luca Di Persio & Yilun Jiang, 2020. "A Bank Salvage Model by Impulse Stochastic Controls," Risks, MDPI, vol. 8(2), pages 1-31, June.

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