Please use this identifier to cite or link to this item:
Härdle, Wolfgang
Yatchew, Adonis
Year of Publication: 
Series/Report no.: 
Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 2002,16
The economic theory of option pricing imposes constraints on the structure of call functions and state price densities (SPDs). Except in a few polar cases, it does not prescribe functional forms. This paper proposes a nonparametric estimator of option pricing models which incorporates various restrictions within a single least squares procedure thus permitting investigation of a wide variety of model specifications and constraints. Among these we consider monotonicity and convexity of the call function and integration to one of the state price density. The procedure easily accommodates heteroskedasticity of the residuals. Static and dynamic properties can be tested using both asymptotic and bootstrap methods. Our monte carlo simulations suggest that bootstrap confidence intervals are far superior to aymptotic ones particularly when estimating derivatives of the call function. We apply the techniques to option pricing data on the DAX.
option pricing
state price density estimation
nonparametric least squares
bootstrap inference
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

Files in This Item:
788.54 kB

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.