Based on a classical financial market model different model variants known from the literature are discussed and analyzed, each focussing on modeling financial markets as a nonlinear dynamic system by introducing the formation of (heterogeneous) beliefs about future asset prices into the model...

This paper presents and compares several time-series models for returns of broadbased stock indices. These models nest a nonlinear asymmetric GARCH (NGARCH) model as a special case. Some of these models are empirically motivated ad-hoc specifications others are derived from a representative...

In this article, the authors introduce a regime-dependent nonlinear model to explain the nonlinear return and risk characteristics of hedge funds. The explanatory power of their regime-dependent nonlinear model is substantially higher than the explanatory power of simple linear regression...