Stock returns are described as nonlinear, heteroscedastic and leptokurtic. Forecasting of
stock returns is difficult because of the above mentioned three characteristics. A great deal
of effort has been devoted to developing systems for predicting stock returns in the capital
markets. Limited success has been achieved. It is believed that the main reason for this
is that the structural relationship between an asset price and its determinants changes
over time. However, using linear models Chen et al. (1986), Campbell (1987), Fama and
French (1988, 1989), Whitelaw (1994) find that stock returns are predictable by publicly
available information such as time series data on financial economic variables. Their
findings go against the efficient market hypothesis and random walk model, which
advocate for the unpredictability of asset returns. More importantly, Hinich and Patterson
(1985), Abhyankar et al. (1997) have indicated the presence of structural nonlinear
dynamics. Pesaran and Timmermann (1994) find significant nonlinear effects in quarterly
and monthly regression of excess stock returns on economic variables and some
non-linear terms such as the lagged values of the square of returns.
Artificial Neural Network (ANN), a nonlinear and non-parametric model, has some
advantages over other linear and nonlinear models which make it attractive in modelingand forecasting of stock returns. First, neural network has flexible nonlinear function
mapping capability which can approximate any continuous measurable function with
arbitrarily desired accuracy (Hornik et al., 1989; and Cybenko, 1989), whereas most of the
commonly used non-linear time series models do not have this property. Second, being
a nonparametric and data-driven model, neural network imposes few prior assumptions
on the underlying process from which data are generated. |