Informatics and Applications

2023, Volume 17, Issue 1, pp 11-17

AN AXIOMATIC VIEWPOINT ON THE ROGERS-VERAART AND SUZUKI-ELSINGER MODELS OF SYSTEMIC RISK

  • Yu. M. Kabanov
  • A. P. Sidorenko

Abstract

The authors study a model of clearing in an interbank network with crossholdings and default charges. Following the Eisenberg-Noe approach, the authors define the model via a set of natural financial regulations including those related to eventual default charges and derive a finite family of fixpoint problems. These problems are parameterized by vectors of binary variables. The model combines features of the Ararat-Meimanjanov, Rogers-Veraart, and Suzuki-Elsinger networks. The authors develop methods of computing the maximal and minimal clearing pairs using the mixed integer-linear programming and a Gaussian elimination algorithm.

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