Complexity in financial asset returns: Evidence from the compass rose

Area of Science:

• Quantitative Finance
• Financial Market Analysis
• Time Series Analysis

Background:

• The compass rose pattern in financial data has been suggested as an indicator of nonlinear or chaotic data generating processes.
• Understanding the influence of noise on financial time series is crucial for accurate market analysis.
• Previous research has explored potential links between this pattern and underlying market dynamics.

Purpose of the Study:

• To investigate the temporal dynamics of the compass rose pattern in financial time series.
• To determine the relationship between the compass rose pattern, noise, and nonlinearity in financial markets.
• To assess whether the compass rose pattern is a reliable indicator of nonlinear structures.

Main Methods:

• Analysis of denoised returns for gold, the Great British Pound/US dollar exchange rate, and the S&P 500 index from 1996 to 2015.
• Examination of the compass rose pattern across four equivalent subperiods.
• Assessment of nonlinearity in financial time series data.

Main Results:

• The compass rose pattern was observed to change over the analyzed subperiods (1996-2015).
• Evidence of nonlinearity was present in all time periods, irrespective of the compass rose pattern's visibility.
• The study found that noise appears to mask the true underlying dynamics of asset returns.

Conclusions:

• The compass rose pattern is unlikely to solely result from an underlying nonlinear structure.
• The presence of noise in financial time series can obscure the actual market dynamics.
• Noise significantly impacts the manifestation and interpretation of patterns like the compass rose in financial data.