摘要翻译:
我们研究了多重缺省值,其中全球市场信息被建模为过滤的逐步扩大。在随机度量框架下,通过建立放大过滤和参考无缺过滤之间的关系,给出了一个通用的定价公式。在每个默认情况下,该公式可以解释为随机测度的Radon-Nikodym导数。研究了多违约情形下的传染风险,其中考虑了传染风险模型中的最优投资问题,并证明了最优化可以通过无违约过滤的递归方式实现。
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英文标题:
《Multiple defaults and contagion risks》
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作者:
Ying Jiao (PMA)
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最新提交年份:
2009
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Portfolio Management 项目组合管理
分类描述:Security selection and optimization, capital allocation, investment strategies and performance measurement
证券选择与优化、资本配置、投资策略与绩效评价
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一级分类:Mathematics 数学
二级分类:Probability 概率
分类描述:Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用:例如中心极限定理,大偏差,随机微分方程,统计力学模型,排队论
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英文摘要:
We study multiple defaults where the global market information is modelled as progressive enlargement of filtrations. We shall provide a general pricing formula by establishing a relationship between the enlarged filtration and the reference default-free filtration in the random measure framework. On each default scenario, the formula can be interpreted as a Radon-Nikodym derivative of random measures. The contagion risks are studied in the multi-defaults setting where we consider the optimal investment problem in a contagion risk model and show that the optimization can be effectuated in a recursive manner with respect to the default-free filtration.
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PDF链接:
https://arxiv.org/pdf/0912.3132


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