Nonparametric pricing of interest rate derivative securities

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)527-560
Number of pages34
JournalEconometrica
Volume64
Issue number3
DOIs
StatePublished - May 1996

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics

Keywords

  • Discrete-time sampling
  • Estimation of stochastic differential equations
  • Nonparametric kernel estimation
  • Option pricing
  • Term structure of interest rates

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