NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Nonparametric Pricing of Interest Rate Derivative Securities

Yacine Ait-Sahalia

NBER Working Paper No. 5345
Issued in November 1995
NBER Program(s):   AP

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.

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Document Object Identifier (DOI): 10.3386/w5345

Published: Econometrica, May 1996, vol.64, no.3, pp.527-560. citation courtesy of

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