Volatility clustering and scaling for financial time series due to attractor bubbling
arXiv:cond-mat/0210044 · doi:10.1103/PhysRevLett.89.158701
Abstract
A microscopic model of financial markets is considered, consisting of many interacting agents (spins) with global coupling and discrete-time thermal bath dynamics, similar to random Ising systems. The interactions between agents change randomly in time. In the thermodynamic limit the obtained time series of price returns show chaotic bursts resulting from the emergence of attractor bubbling or on-off intermittency, resembling the empirical financial time series with volatility clustering. For a proper choice of the model parameters the probability distributions of returns exhibit power-law tails with scaling exponents close to the empirical ones.
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References in corpus (21)
- Noise Dressing of Financial Correlation Matrices
- Universal and non-universal properties of cross-correlations in financial time series
- Scaling of the distribution of fluctuations of financial market indices
- The statistical properties of the volatility of price fluctuations
- Herd behavior and aggregate fluctuations in financial markets
- A Langevin Approach to Stock Market Fluctuations and Crashes
- Power Laws are Logarithmic Boltzmann Laws
- Universal features in the growth dynamics of complex organizations
- Transmission of Information and Herd Behavior: an Application to Financial Markets
- Power Law Scaling for a System of Interacting Units with Complex Internal Structure
- Expectation bubbles in a spin model of markets: Intermittency from frustration across scales
- Speculative bubbles and crashes in stock market: an interacting-agent model of speculative activity
- Phase transitions in social impact models of opinion formation
- A generalized spin model of financial markets
- Spontaneous Scaling Emergence in Generic Stochastic Systems
- Asymptotic power law of moments in a random multiplicative process with weak additive noise
- On the localization of random heteropolymers at the interface between two selective solvents
- Stock Market Speculation: Spontaneous Symmetry Breaking of Economic Valuation
- Universal Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing
- Time-reversal asymmetry in Cont-Bouchaud stock market model
- Discretized Diffusion Processes
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