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Credit Risk by Tomasz R. Bielecki,Marek Rutkowski
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    Description of Credit Risk

    The main objective of Credit Risk: Modeling, Valuation and Hedging is to present a comprehensive survey of the past developments in the area of credit risk research, as well as to put forth the most recent advancements in this field. An important aspect of this text is that it attempts to bridge the gap between the mathematical theory of credit risk and the financial practice, which serves as the motivation for the mathematical modeling studied in the book. Mathematical developments are presented in a thorough manner and cover the structural (value-of-the-firm) and the reduced (intensity-based) approaches to credit risk modeling, applied both to single and to multiple defaults. In particular, the book offers a detailed study of various arbitrage-free models of defaultable term structures with several rating grades.

    Contents of Credit Risk

    PART I: Structural Approach

    1. Introduction to Credit Risk
    2. Corporate Debt
    3. First-Passage-Time Models

    PART II: Hazard Processes

    4. Hazard Function of a Random Time
    5. Hazard Process of a Random Time
    6. Martingale Hazard Process
    7. Case of Several Random Times

    PART III: Reduced-Form Modeling

    8. Intensity-Based Valuation of Defaultable Claims
    9. Conditionally Independent Defaults
    10. Dependent Defaults
    11. Markov Chains
    12. Markovian Models of Credit Migrations
    13. Heath-Jarrow-Morton Type Models
    14. Defaultable Market Rates
    15. Modeling of Market Rates

    A Guide to References
    References
    Basic Notation
    Subject Index


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