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Asset price dynamics in a “bull and bear market”

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  • Jungeilges, Jochen
  • Maklakova, Elena
  • Perevalova, Tatyana

Abstract

We generalize an existing asset market model with heterogenous agents. In particular, we consider the case in which no-trade and low-trade intervals of chartists and fundamentalists respectively are not congruent. Thus we model chartist and fundamentalists who respond to asset prices in agent-specific neighborhoods around the fundamental value with different trade intensities. The resulting asset price dynamics is generated by a one-dimensional 5-piece linear map with discontinuities. Our analysis of this map focusses on coexisting price equilibria. Conditions for their existence and stability are determined analytically. By visualizing the results we allow for a basic bifurcation analysis in a 4-dimensional parameter space. According to our findings the extent of the disparity between the no-trade and low-intervals effects the existence of equilibria but not their stability.

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  • Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
    • Handle: RePEc:eee:streco:v:56:y:2021:i:c:p:117-128
    DOI: 10.1016/j.strueco.2020.08.001
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    1. Gardini, Laura & Radi, Davide & Schmitt, Noemi & Sushko, Iryna & Westerhoff, Frank, 2023. "A 2D piecewise-linear discontinuous map arising in stock market modeling: Two overlapping period-adding bifurcation structures," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Jochen Jungeilges & Elena Maklakova & Tatyana Perevalova, 2022. "Stochastic sensitivity of bull and bear states," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 165-190, January.
    3. Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental and pessimistic traders: a piecewise-linear maps approach," Department of Economics 0186, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".

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