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From quantum mechanics to finance: Microfoundations for jumps, spikes and high volatility phases in diffusion price processes

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arxiv 1609.05286 v2 pith:TSKU3RHU submitted 2016-09-17 q-fin.TR econ.GNq-fin.EC

classification q-fin.TRecon.GNq-fin.EC
keywords priceagentbehaviordynamicsjumpshighmechanicsmicrofoundations
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We present an agent behavior based microscopic model that induces jumps, spikes and high volatility phases in the price process of a traded asset. We transfer dynamics of thermally activated jumps of an unexcited/ excited two state system discussed in the context of quantum mechanics to agent socio-economic behavior and provide microfoundations. After we link the endogenous agent behavior to price dynamics we establish the circumstances under which the dynamics converge to an It\^o-diffusion price processes in the large market limit.

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