A Mathematical Model for Asset Pricing

Abstract

Asset price dynamics is studied by using a system of ordinary differential equations which is derived by utilizing a new excess demand function introduced by Caginalp (2005) [4] for a market involving more information on demand and supply for a stock rather than their values at a particular price. Derivation is based on the finiteness of assets (rather than assuming unbounded arbitrage) in addition to investment strategies that are based on not only price momentum (trend) but also valuation considerations. For this new model and the older models which were extracted using the classical excess demand function by Caginalp and Balenovich (1994, 1999) [2,3], time evolutions of asset price are compared through numerical simulations. (C) 2011 Elsevier Inc. All rights reserved.