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  • 标题:Multi-Name Extension to the Credit Grades and an Efficient Monte Carlo Method
  • 本地全文:下载
  • 作者:Hideyuki Takada
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2014
  • 卷号:04
  • 期号:03
  • 页码:188-206
  • DOI:10.4236/jmf.2014.43017
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we present a multi-name incomplete information structural model which possess the contagion mechanism and its efficient Monte Carlo algorithm based on Interacting Particle System. Along with the Credit Grades, which is industrially used single-name credit model, we suppose that investors can observe firm values and defaults but are not informed of the threshold level at which a firm is deemed to default. Additionally, in order to model the possibility of crisis normalization, we introduce the concept of memory period after default. During the memory period after a default, public investors remember when the previous default occurred and directly reflect that information for updating their belief. When the memory period after a default finish, investors forget about that default and shift their interest to recent defaults if exist. One of the variance reduction techniques, relying upon Interacting Particle System, is combined with the standard Monte Carlo method to address the rare but critical events represented by the tail of loss distribution of portfolio.
  • 关键词:Credit Risk; Default Contagion; Monte Carlo Method; Interacting Particle System
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