In this paper we apply statistical inference techniques to build neural net
work models which are able to explain the prices of call options written on
the German stock index DAX. By testing for the explanatory power of severa
l variables serving as network inputs, some insight into the pricing proces
s of the option market is obtained. The results indicate that statistical s
pecification strategies lead to parsimonious networks which have a superior
out-of-sample performance when compared to the Black/Scholes model. We fur
ther Validate our results by providing plausible hedge parameters. (C) 1998
John Wiley & Sons, Ltd.