Ying Jiao

  1. Credit derivatives pricing with default density term structure modelled by L\'evy random fields.

    Authors: Ying Jiao, Lijun Bo, Xuewei Yang
    Subjects: Pricing of Securities
    Abstract

    We model the term structure of the forward default intensity and the default
    density by using L\'evy random fields, which allow us to consider the credit
    derivatives with an after-default recovery payment. As applications, we study
    the pricing of a defaultable bond and represent the pricing kernel as the
    unique solution of a parabolic integro-differential equation. Finally, we
    illustrate by numerical examples the impact of the contagious jump risks on the
    defaultable bond price in our model.

  2. Information Asymmetry in Pricing of Credit Derivatives.

    Authors: Ying Jiao, Caroline Hillairet
    Subjects: Pricing of Securities
    Abstract

    We study the pricing of credit derivatives with asymmetric information. The
    managers have complete information on the value process of the firm and on the
    default threshold, while the investors on the market have only partial
    observations, especially about the default threshold. Different information
    structures are distinguished using the framework of enlargement of filtrations.
    We specify risk neutral probabilities and we evaluate default sensitive
    contingent claims in these cases.

  3. Multiple defaults and contagion risks.

    Authors: Ying Jiao
    Subjects: Portfolio Management
    Abstract

    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.

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