Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/65336 
Year of Publication: 
2002
Series/Report no.: 
SFB 373 Discussion Paper No. 2002,73
Publisher: 
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes, Berlin
Abstract: 
Credit contagion refers to the propagation of economic distress from one firm or sovereign government to another. In this paper we model credit contagion phenomena and study the fluctuation of aggregate credit losses on large portfolios of financial positions. The joint dynamics of firms' credit ratings is modeled by a voter process, which is well-known in the theory of interacting particle systems. We clarify the structure of the equilibrium joint rating distribution using ergodic decomposition. We analyze the quantiles of the portfolio loss distribution and in particular their relation to the degree of model risk. After a proper re-scaling taking care of the heavy tails induced by the contagion dynamics, we provide a normal approximation of both the equilibrium rating distribution and the portfolio loss distribution.
Subjects: 
credit contagion
portfolio losses
voter model
Choquet theory
ergodic decomposition
re-scaling
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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