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arXiv 1706.06285q-fin.RM
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显式违约传染模型及其在信用衍生品定价中的应用

An Explicit Default Contagion Model and Its Application to Credit Derivatives Pricing

Dianfa Chen, Jun Deng, Jianfen Feng, Bin Zou

摘要:

本文提出了一个新的信用违约模型,该模型考虑了宏观经济信息和传染效应对债务人违约的影响。我们使用一个集值马尔可夫链来模拟违约过程,这是一组中所有违约债务人的集合。我们得到的违约过程的分析特征,并使用它们来推导出定价公式的明确形式的合成抵押债务证券(CDO)。此外,我们使用市场数据来校准模型,并对CDO的份额利差进行了数值研究。我们发现的证据支持,系统性违约风险加上违约传染可能有总的违约风险的主要组成部分。

英文摘要:

We propose a novel credit default model that takes into account the impact of macroeconomic information and contagion effect on the defaults of obligors. We use a set-valued Markov chain to model the default process, which is the set of all defaulted obligors in the group. We obtain analytic characterizations for the default process, and use them to derive pricing formulas in explicit forms for synthetic collateralized debt obligations (CDOs). Furthermore, we use market data to calibrate the model and conduct numerical studies on the tranche spreads of CDOs. We find evidence to support that systematic default risk coupled with default contagion could have the leading component of the total default risk.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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