We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski's path integral model, more precisely we choose a different action, which can be tuned to different time scales. The result is a model with a very small number of parameters that provides very good fits of some stock prices and indices fluctuations.

A model for stocks dynamics based on a non-Gaussian path integral

Paolinelli, Giovanni;Arioli, Gianni
2019-01-01

Abstract

We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski's path integral model, more precisely we choose a different action, which can be tuned to different time scales. The result is a model with a very small number of parameters that provides very good fits of some stock prices and indices fluctuations.
2019
Fat tails; Financial markets; Gauge theory; Non-Gaussian dynamics; Path integral; Quantum-finance; Statistics and Probability; Condensed Matter Physics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1070465
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