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Horvath, Philip A.; Roos, Kelly R.; Sinha, Amit
Physica A, 03/2016, Letnik: 445Journal Article
We build on the developments in the application of statistical mechanics, notably the identity of the spin degree of freedom in the Ising model, to explain asset price dynamics in financial markets with a representative agent. Specifically, we consider the value of an individual spin to represent the proportional holdings in various assets. We use partial moment arguments to identify asymmetric reactions to information and develop an extension of a plunging and dumping model. This unique identification of the spin is a relaxation of the conventional discrete state limitation on an Ising spin to accommodate a new archetype in Ising model-finance applications wherein spin states may take on continuous values, and may evolve in time continuously, or discretely, depending on the values of the partial moments. •Continuous spin Ising model.•Identification of fractional asset holding as spin degree of freedom.•Partial moments produce continuously or discretely varying spins.•Partial moments determined by Hamiltonian.
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