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Financial Networks, Cross Holdings, and Limited Liability

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Abstract

I discuss a network of banks which are linked with each other by financial obligations and cross holdings. Given an initial endowment the value of the obligations and the equity values of the banks are determined endogenously in a way consistent with the priority of debt and the limited liability of equity. Even though neither equity values nor debt values are necessarily unique the value of debt and equity holdings of outside investors is uniquely determined. An algorithm to calculate debt and equity values is developed.

Suggested Citation

  • Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
  • Handle: RePEc:onb:oenbwp:156
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    File URL: https://www.oenb.at/dam/jcr:b2f1721c-7af9-4646-9568-d93faec67bac/wp156_tcm16-138413.pdf
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    Cited by:

    1. Christoph Siebenbrunner, 2017. "Clearing algorithms and network centrality," Papers 1706.00284, arXiv.org.
    2. Tathagata Banerjee & Alex Bernstein & Zachary Feinstein, 2018. "Dynamic Clearing and Contagion in Financial Networks," Papers 1801.02091, arXiv.org.
    3. H Peyton Young & Mark Paddrik & Sriram Rajan, 2017. "Contagion in Derivatives Markets," Economics Series Working Papers 839, University of Oxford, Department of Economics.
    4. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised Aug 2017.
    5. Sabine Karl & Tom Fischer, 2013. "Cross-Ownership as a Structural Explanation for Over- and Underestimation of Default Probability," Papers 1301.6069, arXiv.org.
    6. Levy-Carciente, Sary & Kenett, Dror Y. & Avakian, Adam & Stanley, H. Eugene & Havlin, Shlomo, 2015. "Dynamical macroprudential stress testing using network theory," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 164-181.
    7. E. Kromer & L. Overbeck & K. Zilch, 2016. "Systemic risk measures on general measurable spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 323-357, October.

    More about this item

    Keywords

    Financial Network; Credit Risk; Systemic Risk.;

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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