On the Computational Complexity of Measuring Global Stability of Banking Networks
Threats on the stability of a financial system may severely affect the functioning of the entire economy, and thus considerable emphasis is placed on the analyzing the cause and effect of such threats. The financial crisis in the current and past decade has shown that one important cause of instability in global markets is the so-called financial contagion, namely the spreading of instabilities or failures of individual components of the network to other, perhaps healthier, components. This leads to a natural question of whether the regulatory authorities could have predicted and perhaps mitigated the current economic crisis by effective computations of some stability measure of the banking networks. Motivated by such observations, we consider the problem of defining and evaluating stabilities of both homogeneous and heterogeneous banking networks against propagation of synchronous idiosyncratic shocks given to a subset of banks. We formalize the homogeneous banking network model of Nier et al. and its corresponding heterogeneous version, formalize the synchronous shock propagation procedures, define two appropriate stability measures and investigate the computational complexities of evaluating these measures for various network topologies and parameters of interest. Our results and proofs also shed some light on the properties of topologies and parameters of the network that may lead to higher or lower stabilities.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Freixas, Xavier & Parigi, Bruno & Rochet, Jean-Charles, 1999.
"Systemic Risk, Interbank Relations and Liquidity Provision by the Central Bank,"
CEPR Discussion Papers
2325, C.E.P.R. Discussion Papers.
- Xavier Freixas & Bruno M. 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.
- Freixas, Xavier & Parigi, Bruno M & Rochet, Jean-Charles, 2000. "Systemic Risk, Interbank Relations, and Liquidity Provision by the Central Bank," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 611-38, August.
- X. Freixas & B. Parigi & J-C. Rochet, 2000. "Systemic Risk, Interbank Relations and Liquidity Provision by theCentral Bank," DNB Staff Reports (discontinued) 47, Netherlands Central Bank.
- Xavier Freixas & Bruno Parigi & Jean Charles Rochet, 1998. "Systemic risk, interbank relations and liquidity provision by the Central Bank," Economics Working Papers 440, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 1999.
- Franklin Allen & Douglas Gale, 2000.
Journal of Political Economy,
University of Chicago Press, vol. 108(1), pages 1-33, February.
- Roger Lagunoff & Stacey L. Schreft, 1998.
"A Model of Financial Fragility,"
Game Theory and Information
9803001, EconWPA, revised 30 Apr 1998.
- Basab Dasgupta, 2004.
"Capital Accumulation in the Presence of Informal Credit Contracts: Does the Incentive Mechanism Work Better than Credit Rationing Under Asymmetric Information?,"
2004-32, University of Connecticut, Department of Economics.
- basab dasgupta, 2005. "Capital Accumulation in the Presence of Informal Credit Contract: Does Incentive Mechanism Work Better than Credit Rationing Under Asymmetric Information?," Computing in Economics and Finance 2005 366, Society for Computational Economics.
- Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007.
"Network models and financial stability,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 31(6), pages 2033-2060, June.
- Castiglionesi, F. & Navarro, N., 2007. "Optimal Fragile Financial Networks," Discussion Paper 2007-100, Tilburg University, Center for Economic Research.
- Douglas M. Gale & Shachar Kariv, 2007. "Financial Networks," American Economic Review, American Economic Association, vol. 97(2), pages 99-103, May.
- Diamond, Douglas W & Dybvig, Philip H, 1983.
"Bank Runs, Deposit Insurance, and Liquidity,"
Journal of Political Economy,
University of Chicago Press, vol. 91(3), pages 401-19, June.
- Yaron Leitner, 2005. "Financial Networks: Contagion, Commitment, and Private Sector Bailouts," Journal of Finance, American Finance Association, vol. 60(6), pages 2925-2953, December.
- Krishnamurthy, Arvind, 2000. "Comment on Systemic Risk, Interbank Relations, and Liquidity Provision by the Central Bank," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 639-40, August.
- 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.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:1110.3546. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.