Display Abstract

Title Global bifurcations in a non-invertible model of asset pricing

Name Thorsten Huels
Country Germany
Email huels@math.uni-bielefeld.de
Co-Author(s) Volker Boehm
Submit Time 2014-02-26 09:04:04
Session
Special Session 30: Discrete dynamics and applications
Contents
We introduce a canonical form for a standard model of asset pricing. The resulting (non-invertible) two-dimensional dynamical system depends on two parameters only, a rate of geometric decay and a mean reversion parameter. We detect parameter regimes for which homoclinic and heteroclinic orbits exist and illustrate corresponding intersections of stable and unstable sets. Finally, autocorrelations of prices and returns before and after these global bifurcations are discussed.