关于双曲衰减的违约相关模型及CDS定价

Model for Dependent Default With Hyperbolic Attenuation Effect and the Valuation of CDS

引进一个双曲类型的衰减函数来表示一方违约对另一方违约强度的影响.若交易双方为竞争对手(合作公司),当一方的违约时,另一方的违约强度将减小(增大).随着时间的推移,这种影响将逐渐减小,直至为零.在这个模型下,通过测度变换,可以得到两公司违约时间的联合分布及各自的边际分布,从而可以对违约互换进行定价.

A hyperbolic attenuation function was introduced to reflect the effect of one firm＇s default to its partner. If the two finns are competitors （copartners）, the default intensity of one finn will decrease （increase） abruptly when the other finn defaults. As time goes on, the impact will decrease gradually until extinction. In this model, the joint distribution and marginal distributions of default times are derived by employing the change of measure, so the fair swap premium of a CDS can be valued.