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Mathematics and Financial Economics

, Volume 13, Issue 4, pp 617–636 | Cite as

Impact of contingent payments on systemic risk in financial networks

  • Tathagata Banerjee
  • Zachary FeinsteinEmail author
Article

Abstract

In this paper we study the implications of contingent payments on the clearing wealth in a network model of financial contagion. We consider an extension of the Eisenberg–Noe financial contagion model in which the nominal interbank obligations depend on the wealth of the firms in the network. We first consider the problem in a static framework and develop conditions for existence and uniqueness of solutions as long as no firm is speculating on the failure of other firms. In order to achieve existence and uniqueness under more general conditions, we introduce a dynamic framework. We demonstrate how this dynamic framework can be applied to problems that were ill-defined in the static framework.

Keywords

Systemic risk Financial contagion Insurance Credit default swaps 

Mathematics Subject Classification

C62 G22 

Notes

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electrical and Systems EngineeringWashington University in St. LouisSt. LouisUSA

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