Nonparametric pricing of interest rate derivative securities

• 成果类型: Article
• 署名作者: Ait-Sahalia, Y
• 署名单位: National Bureau of Economic Research
• 刊物名称: ECONOMETRICA
• ISSN/ISSBN: 0012-9682
• DOI: 10.2307/2171860
• 发表日期: 1996
• 页码: 527-560
• 关键词: term structure; asset prices; models; INGERSOLL; COX

摘要

We propose a nonparametric estimation procedure for continuous-time stochastic models. Because prices of derivative securities depend crucially on the form of the instantaneous volatility of the underlying process, we leave the volatility function unrestricted and estimate it nonparametrically. Only discrete data are used but the estimation procedure still does not rely on replacing the continuous-time model by some discrete approximation. Instead the drift and volatility functions are forced to match the densities of the process. We estimate the stochastic differential equation followed by the short-term interest rate and compute nonparametric prices for bonds and bond options.