A discrete-time approach to arbitrage-free pricing of credit derivatives

• 成果类型: Article
• 署名作者: Das, SR; Sundaram, RK
• 署名单位: Harvard University; National Bureau of Economic Research; New York University
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.46.1.46.15124
• 发表日期: 2000
• 页码: 46-62
• 关键词: credit risk; derivatives; no-arbitage

摘要

This 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.