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The Action Principle in Market Mechanics

Jack Manhire 

Texas A-M University School of Law (TAMU), 1515 Commerce Street, Fort Worth, TX 76102, United States

Abstract

This paper explores the possibility that asset prices, especially those traded in large volume on public exchanges, might comply with specific physical laws of motion and probability. The paper first examines the basic dynamics of asset price displacement and finds one can model this dynamic as a harmonic oscillator at very local 'slices' of elapsed time. Based on this finding, the paper theorizes that price displacements are constrained, meaning they have extreme values beyond which they cannot go when measured over a large number of sequential periods. By assuming price displacements are also subject to the principle of stationary action, the paper explores a method for measuring specific probabilities of future price displacements based on prior historical data. Testing this theory with two prevalent stock indices suggests it can make accurate forecasts as to constraints on extreme price movements during market 'crashes' and probabilities of specific price displacements at other times.

 

Auxiliary resources (full texts, presentations, posters, etc.)
  1. FULLTEXT: The Action Principle in Market Mechanics, PDF document, version 1.5, 0.2MB
  2. CV: Note about author(s): Jack Manhire, PDF document, version 1.3, 0.1MB
 

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Presentation: Oral at Econophysics Colloquium 2017, Symposium A, by Jack Manhire
See On-line Journal of Econophysics Colloquium 2017

Submitted: 2017-02-16 18:21
Revised:   2017-06-21 05:27