Stock mechanics: a general theory and method of energy conservation with applications on DJIA
arXiv:physics/0512127 · doi:10.1142/S0129183106009138
Abstract
A new method, based on the original theory of conservation of sum of kinetic and potential energy defined for prices is proposed and applied on Dow Jones Industrials Average (DJIA). The general trends averaged over months or years gave a roughly conserved total energy, with three different potential energies, i.e. positive definite quadratic, negative definite quadratic and linear potential energy for exponential rises (and falls), sinusoidal oscillations and parabolic trajectories, respectively. Corresponding expressions for force (impact) are also given. Keywords:
14 pages, 3 figures, scehudled for IJMPC 17/ issue 6
References in corpus (6)
- Statistical properties of stock order books: empirical results and models
- Oscillatory Finite-Time Singularities in Finance, Population and Rupture
- Renormalization Group Analysis of the 2000-2002 anti-bubble in the US S&P 500 index: Explanation of the hierarchy of 5 crashes and Prediction
- Log-periodic self-similarity: an emerging financial law?
- Theory of self-similar oscillatory finite-time singularities in Finance, Population and Rupture
- Stock mechanics: predicting recession in S&P500, DJIA, and NASDAQ