Title
Simplicial Persistence of Financial Markets: Filtering, Generative Processes and Structural Risk
Abstract
We introduce simplicial persistence, a measure of time evolution of motifs in networks obtained from correlation filtering. We observe long memory in the evolution of structures, with a two power law decay regimes in the number of persistent simplicial complexes. Null models of the underlying time series are tested to investigate properties of the generative process and its evolutional constraints. Networks are generated with both a topological embedding network filtering technique called TMFG and by thresholding, showing that the TMFG method identifies high order structures throughout the market sample, where thresholding methods fail. The decay exponents of these long memory processes are used to characterise financial markets based on their efficiency and liquidity. We find that more liquid markets tend to have a slower persistence decay. This appears to be in contrast with the common understanding that efficient markets are more random. We argue that they are indeed less predictable for what concerns the dynamics of each single variable but they are more predictable for what concerns the collective evolution of the variables. This could imply higher fragility to systemic shocks.
Year
DOI
Venue
2022
10.3390/e24101482
ENTROPY
Keywords
DocType
Volume
network theory, topological filtering, network motif, motif persistence, long memory, complex systems, time series analysis, financial networks
Journal
24
Issue
ISSN
Citations 
10
1099-4300
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jeremy Turiel100.34
Paolo Barucca201.01
Tomaso Aste35711.62