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Sequential Defaulting in Financial Networks

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  • P'al Andr'as Papp
  • Roger Wattenhofer

Abstract

We consider financial networks, where banks are connected by contracts such as debts or credit default swaps. We study the clearing problem in these systems: we want to know which banks end up in a default, and what portion of their liabilities can these defaulting banks fulfill. We analyze these networks in a sequential model where banks announce their default one at a time, and the system evolves in a step-by-step manner. We first consider the reversible model of these systems, where banks may return from a default. We show that the stabilization time in this model can heavily depend on the ordering of announcements. However, we also show that there are systems where for any choice of ordering, the process lasts for an exponential number of steps before an eventual stabilization. We also show that finding the ordering with the smallest (or largest) number of banks ending up in default is an NP-hard problem. Furthermore, we prove that defaulting early can be an advantageous strategy for banks in some cases, and in general, finding the best time for a default announcement is NP-hard. Finally, we discuss how changing some properties of this setting affects the stabilization time of the process, and then use these techniques to devise a monotone model of the systems, which ensures that every network stabilizes eventually.

Suggested Citation

  • P'al Andr'as Papp & Roger Wattenhofer, 2020. "Sequential Defaulting in Financial Networks," Papers 2011.10485, arXiv.org.
  • Handle: RePEc:arx:papers:2011.10485
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    References listed on IDEAS

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    1. Marco Bardoscia & Stefano Battiston & Fabio Caccioli & Guido Caldarelli, 2016. "Pathways towards instability in financial networks," Papers 1602.05883, arXiv.org, revised Feb 2017.
    2. Stefania Vitali & James B Glattfelder & Stefano Battiston, 2011. "The Network of Global Corporate Control," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-6, October.
    3. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
    4. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    5. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    6. Loon, Yee Cheng & Zhong, Zhaodong Ken, 2014. "The impact of central clearing on counterparty risk, liquidity, and trading: Evidence from the credit default swap market," Journal of Financial Economics, Elsevier, vol. 112(1), pages 91-115.
    7. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    8. P'al Andr'as Papp & Roger Wattenhofer, 2020. "Network-Aware Strategies in Financial Systems," Papers 2002.07566, arXiv.org.
    9. 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.
    10. Matt V. Leduc & Sebastian Poledna & Stefan Thurner, 2016. "Systemic Risk Management in Financial Networks with Credit Default Swaps," Papers 1601.02156, arXiv.org, revised Oct 2017.
    11. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Using Market Information for Banking System Risk Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    12. P'al Andr'as Papp & Roger Wattenhofer, 2020. "Default Ambiguity: Finding the Best Solution to the Clearing Problem," Papers 2002.07741, arXiv.org, revised Oct 2021.
    13. Marco Bardoscia & Stefano Battiston & Fabio Caccioli & Guido Caldarelli, 2017. "Pathways towards instability in financial networks," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
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