Noise and Financial Stylized Facts: A Stick Balancing Approach

Area of Science:

• Neuroscience and Financial Economics
• Complex Systems Analysis
• Stochastic Dynamics

Background:

• The human nervous system and financial markets exhibit complex dynamics.
• Equilibrium maintenance in both systems is a key area of study.
• Analogies between biological and financial systems offer novel research avenues.

Purpose of the Study:

• To investigate the beneficial role of noise in biological and financial systems.
• To compare the equilibrium mechanisms of the human nervous system and financial markets.
• To explore the potential of noise to explain stylized facts in financial markets.

Main Methods:

• Numerical simulations of the human stick-balancing phenomenon.
• Introduction of controlled noise into the simulation.
• Calibration of control parameters to match observed data.
• Analysis of intermittent changes in angular velocity.

Main Results:

• Simulations demonstrated that introducing a small amount of noise and proper parameter calibration can reproduce key stylized facts of financial price returns.
• Intermittent changes in the angular velocity of the stick were observed.
• The study found a similitude between financial market price equilibrium and the human nervous system's balancing ability.

Conclusions:

• Noise can play a beneficial role in maintaining equilibrium in complex systems like the human brain and financial markets.
• The stick-balancing model with noise provides a potential framework for understanding financial market dynamics.
• These findings support the concept of a "planetary nervous system" in the financial context.