Asset price dynamics with heterogeneous groups

Abstract

A system of ordinary differential equations is used to study the price dynamics of an asset under various conditions. One of these involves the introduction of new information that is interpreted differently by two groups. Another studies the price change due to a change in the number of shares. The steady state is examined under these conditions to determine the changes in the price due to these phenomena. Numerical studies are also performed to understand the transition between the regimes. The differential equations naturally incorporate the effects due to the finiteness of assets (rather than assuming unbounded arbitrage) in addition to investment strategies that are based on either price momentum (trend) or valuation considerations. The numerical studies are compared with closed-end funds that issue additional shares, and offers insight into the strategies of investors. (c) 2006 Elsevier B.V. All rights reserved.