Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/40277 
Authors: 
Year of Publication: 
2000
Series/Report no.: 
Research Notes No. 00-6
Publisher: 
Deutsche Bank Research, Frankfurt a. M.
Abstract: 
Neural networks (NN) and fuzzy logic systems (FLS) are used successfully for financial forecasting, credit rating and portfolio management. In search for more sophisticated modeling techniques a mixture of NN and FLS has proved to be worth consideration. We propose the novel constructive approach by which a neuro fuzzy network is built up with the help of a constrained optimizer. The mathematical motivation for such hybrid networks is presented, using the Kolmogorov theory of metric entropy. As an application of the proposed approach we build a neuro fuzzy network model which is able to explain the prices of call options written on the S&P 500 stock index. While option pricing theory typically requires a highly complex statistical model to capture the empirical pricing mechanism, our results indicate that this algorithm leads to more parsimonious functional specificationes which have a superior out-of-sample performance.
Subjects: 
neural networks
fuzzy logic systems
entropy
option pricing
Document Type: 
Working Paper

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