Martin Larsson

  1. Default and Systemic Risk in Equilibrium.

    Authors: Agostino Capponi, Martin Larsson
    Subjects: Pricing of Securities
    Abstract

    We develop a finite horizon continuous time market model, where risk averse
    investors maximize utility from terminal wealth by dynamically investing in a
    risk-free money market account, a stock written on a default-free dividend
    process, and a defaultable bond, whose prices are determined via equilibrium.
    We analyze financial contagion arising endogenously between the stock and the
    defaultable bond via the interplay between equilibrium behavior of investors,
    risk preferences and cyclicality properties of the default intensity.

  2. Credit contagion and risk management with multiple non-ordered defaults.

    Authors: Younes Kchia, Martin Larsson
    Subjects: Risk Management
    Abstract

    The classical reduced-form and filtration expansion framework in credit risk
    is extended to the case of multiple, non-ordered defaults, assuming that
    conditional densities of the default times exist. Intensities and pricing
    formulas are derived, revealing how information driven default contagion arises
    in these models. We then analyze the impact of ordering the default times
    before expanding the filtration.

  3. Linking progressive and initial filtration expansions.

    Authors: Philip Protter, Younes Kchia, Martin Larsson
    Subjects: Probability
    Abstract

    In this paper we study progressive ?ltration expansions with random times. We
    show how semimartingale decompositions in the expanded ?ltration can be
    obtained using a natural link between progressive and initial expansions. The
    link is, on an intuitive level, that the two coincide after the random time. We
    make this idea precise and use it to establish known and new results in the
    case of expansion with a single random time. The methods are then extended to
    the multiple time case, without any restrictions on the ordering of the
    individual times.

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