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Densely Entangled Financial Systems

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  • Bhaskar DasGupta
  • Lakshmi Kaligounder

Abstract

In [1] Zawadoski introduces a banking network model in which the asset and counter-party risks are treated separately and the banks hedge their assets risks by appropriate OTC contracts. In his model, each bank has only two counter-party neighbors, a bank fails due to the counter-party risk only if at least one of its two neighbors default, and such a counter-party risk is a low probability event. Informally, the author shows that the banks will hedge their asset risks by appropriate OTC contracts, and, though it may be socially optimal to insure against counter-party risk, in equilibrium banks will {\em not} choose to insure this low probability event. In this paper, we consider the above model for more general network topologies, namely when each node has exactly 2r counter-party neighbors for some integer r>0. We extend the analysis of [1] to show that as the number of counter-party neighbors increase the probability of counter-party risk also increases, and in particular the socially optimal solution becomes privately sustainable when each bank hedges its risk to at least n/2 banks, where n is the number of banks in the network, i.e., when 2r is at least n/2, banks not only hedge their asset risk but also hedge its counter-party risk.

Suggested Citation

  • Bhaskar DasGupta & Lakshmi Kaligounder, 2014. "Densely Entangled Financial Systems," Papers 1402.5208, arXiv.org.
  • Handle: RePEc:arx:papers:1402.5208
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    References listed on IDEAS

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    1. Ricardo J. Caballero & Alp Simsek, 2009. "Complexity and Financial Panics," NBER Working Papers 14997, National Bureau of Economic Research, Inc.
    2. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    3. Xavier Freixas & Bruno Parigi & Jean-Charles Rochet, 2000. "Systemic risk, interbank relations, and liquidity provision by the central bank," Proceedings, Federal Reserve Bank of Cleveland, pages 611-640.
    4. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    5. Rene M. Stulz, 2010. "Credit Default Swaps and the Credit Crisis," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 73-92, Winter.
    6. Ana Babus, 2016. "The formation of financial networks," RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 239-272, May.
    7. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, pages 2033-2060.
    8. Adam Zawadowski, 2013. "Entangled Financial Systems," Review of Financial Studies, Society for Financial Studies, vol. 26(5), pages 1291-1323.
    9. F.R. Liedorp & L. Medema & M. Koetter & R.H. Koning & I. van Lelyveld, 2010. "Peer monitoring or contagion? Interbank market exposure and bank risk," DNB Working Papers 248, Netherlands Central Bank, Research Department.
    10. Arora, Navneet & Gandhi, Priyank & Longstaff, Francis A., 2012. "Counterparty credit risk and the credit default swap market," Journal of Financial Economics, Elsevier, vol. 103(2), pages 280-293.
    11. Stulz, Rene, 2010. "Credit default Swaps and the Credit Crisis," Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 157-175.
    12. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, pages 14-23.
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