Modeling stock return distributions with a quantum harmonic oscillator

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We propose a quantum harmonic oscillator as a model for the market force which draws a stock return from short-run fluctuations to the long-run equilibrium. The stochastic equation governing our model is transformed into a Schrodinger equation, the solution of which features "quantized" eigenfunctions. Consequently, stock returns follow a mixed. distribution, which describes Gaussian and non-Gaussian features. Analyzing the Financial Times Stock Exchange (FTSE) All Share Index, we demonstrate that our model outperforms traditional stochastic process models, e.g., the geometric Brownian motion and the Heston model, with smaller fitting errors and better goodness-of-fit statistics. In addition, making use of analogy, we provide an economic rationale of the physics concepts such as the eigenstate, eigenenergy, and angular frequency, which sheds light on the relationship between finance and econophysics literature. Copyright (C) EPLA, 2018
Publisher
IOP PUBLISHING LTD
Issue Date
2017-11
Language
English
Article Type
Article
Citation

Europhysics Letters, v.120, no.3

ISSN
0295-5075
DOI
10.1209/0295-5075/120/38003
URI
http://hdl.handle.net/10203/240250
Appears in Collection
RIMS Journal Papers
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