Martingales, nonlinearity, and chaos
โ Scribed by William A. Barnett; Apostolos Serletis
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 163 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0165-1889
No coin nor oath required. For personal study only.
โฆ Synopsis
In this article we provide a review of the literature with respect to the e$cient markets hypothesis and chaos. In doing so, we contrast the martingale behavior of asset prices to nonlinear chaotic dynamics, discuss some recent techniques used in distinguishing between probabilistic and deterministic behavior in asset prices, and report some evidence. Moreover, we look at the controversies that have arisen about the available tests and results, and raise the issue of whether dynamical systems theory is practical in "nance.
๐ SIMILAR VOLUMES
This article presents a discussion of certain aspects of the interrelationship between the chaotic response of some deterministic nonlinear dynamic system and the stochastic response of the corresponding system obtained by introducing a stochastic perturbation in the form of additive Gaussian white
A detailed analysis is undertaken to explore the stability and bifurcation pattern of the nonlinear Bloch equation known to govern the dynamics of an ensemble of spins, controlling the basic process of nuclear magnetic resonance. After the initial analysis of the parameter space and stability region