Systemic Risk in Financial Systems in Consideration of Bankruptcy Liquidation Expenses

Abstract

一个金融系统的系统风险是由于系统中各机构间的相互债务关联而导致的层叠违约所引起的。本文通过引入破产清算费用来扩展Eisenberg and Noe (2001)提出的有关系统风险的经典模型，讨论了扩展模型下清算向量的存在性和唯一性。在经典模型的清算过程中，整个金融系统的净值没有损耗，但在扩展模型下，一旦有一家机构破产，系统的净值就会有所损耗，并且损耗的多少与层叠违约的程度相关。 Systemic risk of a financial system arises from cascading defaults due to liability linkages among institutions. The main work in the paper builds on the modeling paradigm of Eisenberg and Noe (2001), extending it by introducing bankruptcy liquidation expenses. Comparing with the classical model, we discuss the existence and uniqueness of clearing payment vector under the extended model. In classical model, the whole financial system net worth has no loss throughout the clearing process. While, in the extended model proposed by the paper, there must be certain loss once some firm is insolvent and the loss is correlated to the magnitude of cascading defaults.