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Pricing and hedging of credit derivatives via the innovations approach to nonlinear filtering

机译:通过非线性滤波的创新方法对信用衍生产品进行定价和对冲

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摘要

In this paper, we propose a new, information-based approach for modelling the dynamic evolution of a portfolio of credit risky securities. In our setup, market prices of traded credit derivatives are given by the solution of a nonlinear filtering problem. The innovations approach to nonlinear filtering is used to solve this problem and to derive the dynamics of market prices. Moreover, the practical application of the model is discussed: we analyse calibration, the pricing of exotic credit derivatives and the computation of risk-minimizing hedging strategies. The paper closes with a few numerical case studies.
机译:在本文中,我们提出了一种基于信息的新方法来对信用风险证券投资组合的动态演变进行建模。在我们的设置中,交易信用衍生产品的市场价格由非线性过滤问题的解决方案给出。非线性滤波的创新方法用于解决此问题并导出市场价格动态。此外,还讨论了该模型的实际应用:我们分析了标定,外来信用衍生产品的定价以及风险最小化对冲策略的计算。本文以一些数字案例研究结束。

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