A Copula Approach to Default Correlation and the Pricing of Basket Default Swap

A Copula Approach to Default Correlation and the Pricing of Basket Default Swap
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违约相关性的 Copula 方法和一篮子违约掉期的定价

DOI:
10.1080/01966324.2010.10737776
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发表时间:
2010-01
影响因子:
--
通讯作者:
Chen Housheng
Chen Housheng
中科院分区:
--
文献类型:
--
作者:
Li Ping;Chen Housheng

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摘要近年来,快速发展的信用衍生品市场产生了许多复杂的信用衍生品,如交易非常活跃的多名称信用衍生品,其定价比单名信用衍生品更复杂。本文首先考虑离散信用利差的实际情况,构造了风险率函数,并利用Copula刻画了违约相关性,得到了联合违约分布;然后用Gauss、Gumbel和Clayton三个Copula函数模拟了债务人的相关违约时间,对一篮子违约互换进行了定价,并对不同Kendall tau下的违约时间进行了敏感性分析。
SYNOPTIC ABSTRACT In recent years, rapidly growing credit derivative market produces many complex credit derivatives, such as multi-name credit derivatives whose trade is very active and the pricing of which is more complicated than single-name credit derivatives. In this paper, we first construct the hazard rate function considering the practice of discrete credit spread, and derive the joint default distribution by applying copulas to characterize the default correlation; then we use three copula functions, Gaussian, Gumbel and Clayton, to simulate the correlated time to default of obligors, and price a basket default swap and make sensitive analysis under different Kendall tau.
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