Transform analysis and asset pricing for affine jump-diffusions

• 成果类型: Article
• 署名作者: Duffie, D; Pan, J; Singleton, K
• 署名单位: Stanford University; Massachusetts Institute of Technology (MIT)
• 刊物名称: ECONOMETRICA
• ISSN/ISSBN: 0012-9682
• DOI: 10.1111/1468-0262.00164
• 发表日期: 2000
• 页码: 1343-1376
• 关键词: term structure; stochastic volatility; options; bond

摘要

In the setting of affine jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensity-based models of default, as well as a wide range of option-pricing applications. An illustrative example examines the implications of stochastic volatility and jumps for option valuation. This example highlights the impact on option 'smirks' of the joint distribution of jumps in volatility and jumps in the underlying asset price, through both jump amplitude as well as jump timing.