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Abstract
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A system of ordinary differential equations is used to study the price dynamics of an asset under various conditions. In collaboration with H. Merdan, we study the introduction of new information that is interpreted differently by two groups. We also examine the price change due to an increase in the number of shares. The steady state is calculated as a function of the relative assets of the respective groups. Numerical studies are also performed to understand the transition between different steady state regimes. The differential equations naturally incorporate the effects of finiteness of assets (rather than assuming unbounded arbitrage) in addition to price momentum (or trend) and valuation. |
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