Modeling of contagious downgrades and its application to multi-downgrade protection

抄録

In this paper, we use a multivariate affine jump process to model the downgrade intensities for several categories of business sector in credit portfolios. Since multivariate affine jump structure enables us to consider self-exciting effects as well as mutually exciting effects, the model can explain the downgrade clusters observed in the Japanese market. Also, we propose a new credit derivative named multi-downgrade protection (MDP) as an application of our model and discuss its fair pricing.

収録刊行物

  • JSIAM Letters

    JSIAM Letters 2 (0), 65-68, 2010

    一般社団法人 日本応用数理学会

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