Neural network model selection for financial time series prediction

Can neural network model selection by guided by statistical procedures such as hypothesis tests, information criteria and cross-validation? Recently, Anders and Korn proposed five neural network model specification strategies based on different statistical procedures. In this paper, we use and adapt the Anders–Korn framework to find appropriate neural network models for financial time series prediction. The most important new issue in this context is the specification of the dynamic structure of the models, i.e. the selection of the lagged values of the input time series. A linear model is built with full dynamic structure, then its possible nonlinear extensions are tested using a statistical procedure inspired by the Anders–Korn approach. Promising results are obtained with an application to predict the monthly time series of mortgage loans purchased in The Netherlands.