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Financial markets' deterministic aspects modeled by a low-dimensional equation.

Giuseppe Orlando1, Michele Bufalo2, Ruedi Stoop3

  • 1Department of Economics and Finance, University of Bari, 70124, Bari, Italy. giuseppe.orlando@uniba.it.

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This summary is machine-generated.

Financial markets exhibit alternating calm and turmoil. A low-dimensional deterministic model effectively describes this behavior, rivaling stochastic approaches and offering deeper insights into market drivers.

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Area of Science:

  • Empirical finance
  • Market dynamics
  • Financial econometrics

Background:

  • Financial markets exhibit complex dynamics, alternating between periods of stability and turmoil.
  • Existing models often employ stochastic approaches to capture market volatility.
  • The dimensionality and underlying mechanisms of financial market behavior remain areas of active research.

Purpose of the Study:

  • To investigate whether financial market data can be described by a low-dimensional deterministic model.
  • To compare the performance of deterministic models against established stochastic models.
  • To explore the potential for deterministic models to reveal fundamental market driving mechanisms.

Main Methods:

  • Analysis of empirical finance market data, including the Financial Stress Index.
  • Inclusion of diverse financial instruments (swaps, equities) across different markets (emerging, developed) and maturities (short, long).
  • Comparison of a low-dimensional deterministic model with leading stochastic models.

Main Results:

  • A deterministic model demonstrates performance comparable to top-tier stochastic models.
  • The deterministic approach may provide enhanced understanding of the core mechanisms governing financial markets.
  • Observed market alternations between calm and turmoil can be effectively characterized.

Conclusions:

  • Low-dimensional deterministic models offer a viable and potentially insightful alternative to stochastic models for financial market analysis.
  • These models can capture the complex, alternating dynamics observed in financial markets.
  • Further research into deterministic models could unlock deeper insights into financial market behavior.