A DISCRETE–TIME APPROACH TO ARBITRAGE-FREE PRICING OF CREDIT DERIVATIVES

Sanjiv Ranjan Das and Rangarajan K. Sundaram
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Sanjiv Ranjan Das: Department of Finance, Leavey School of Business, Santa Clara University, Santa Clara, CA 95053-0388, USA
Rangarajan K. Sundaram: New York University, Stern School of Business, New York, NY 10012, USA

Chapter 4 in Quantitative Analysis in Financial Markets:Collected Papers of the New York University Mathematical Finance Seminar(Volume III), 2002, pp 86-109 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThis paper develops a framework for modelling risky debt and valuing credit derivatives that is flexible and simple to implement, and that is, to the maximum extent possible, based on observables. Our approach is based on expanding the Heath–Jarrow–Morton term-structure model to allow for defaultable debt. Rather than follow the procedure of implying out the behavior of spreads from assumptions concerning the default process, we work directly with the evolution of spreads. The risk-neutral drifts in the resulting model possess a recursive representation that facilitates implementation and makes it possible to handle path-dependence and early exercise features without difficulty. The framework permits embedding a variety of specifications for default; we present an empirical example of a default structure which provides promising calibration results.

Keywords: Quantitative Analysis; Financial Markets (search for similar items in EconPapers)
Date: 2002
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