Contagion Risk in the Interbank Market: A Probabilistic Approach to Cope with Incomplete Structural Information
Mattia Montagna and
Thomas Lux
No 8, FinMaP-Working Papers from Collaborative EU Project FinMaP - Financial Distortions and Macroeconomic Performance: Expectations, Constraints and Interaction of Agents
Abstract:
Banks have become increasingly interconnected via interbank credit and other forms of liabilities. As a consequence of the increased interconnectedness, the failure of one node in the interbank network might constitute a threat to the survival of large parts of the entire system. How important this effect of "too-big-too-fail" and "too-interconnected-too-fail" is, depends on the exact topology of the network on which the supervisory authorities have typically very incomplete knowledge. We propose a probabilistic model to combine some important known quantities (like the size of the banks) with a realistic stochastic representation of the remaining structural elements. Our approach allows us to evaluate relevant measures for the contagion after default of one unit (i.e. number of expected subsequent defaults, or their probabilities). For some quantities we are able to derive closed form solutions, others can be obtained via computational mean-field approximations.
Keywords: contagion; interbank market; network models (search for similar items in EconPapers)
JEL-codes: D83 D85 G21 (search for similar items in EconPapers)
Date: 2014
New Economics Papers: this item is included in nep-ban and nep-ict
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Citations: View citations in EconPapers (8)
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:fmpwps:8
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