Hidden interactions in financial markets

Significance The importance of understanding the structure of financial markets has been progressively coming to a head in public discourse. With the rise and prevalence of big datasets, it is a crucial time for academics to study the interdependency outside conventional analysis. Thus, the methodology proposed in this paper does not only allow distinction between positive and negative interdependence, but additionally identifies a yet unexplored form of interaction we coin as “dark causality.” We benchmark this method on asset pairs and on a network of sovereign credit default swaps, where the dominant form of interaction is that of dark causality. Our results are relevant to finance practitioners who, by virtue of their profession, tend to engage on a regular basis with retail investors. The hidden nature of causality is a puzzling, yet critical notion for effective decision-making. Financial markets are characterized by fluctuating interdependencies which seldom give rise to emergent phenomena such as bubbles or crashes. In this paper, we propose a method based on symbolic dynamics, which probes beneath the surface of abstract causality and unveils the nature of causal interactions. Our method allows distinction between positive and negative interdependencies as well as a hybrid form that we refer to as “dark causality.” We propose an algorithm which is validated by models of a priori defined causal interaction. Then, we test our method on asset pairs and on a network of sovereign credit default swaps (CDS). Our findings suggest that dark causality dominates the sovereign CDS network, indicating interdependencies which require caution from an investor’s perspective.

[1]  Martin Scheicher,et al.  The Network Structure of the CDS Market and its Determinants , 2013, SSRN Electronic Journal.

[2]  R. R. Prechter Unconscious Herding Behavior as the Psychological Basis of Financial Market Trends and Patterns , 2001 .

[3]  S. A. Khonsary Guyton and Hall: Textbook of Medical Physiology , 2017, Surgical Neurology International.

[4]  V. Plerou,et al.  A theory of power-law distributions in financial market fluctuations , 2003, Nature.

[5]  D. Rand,et al.  Dynamical Systems and Turbulence, Warwick 1980 , 1981 .

[6]  E. Jacquier,et al.  Optimal Portfolios in Good Times and Bad , 1999 .

[7]  Zhi Da,et al.  In Search of Attention , 2009 .

[8]  William N. Goetzmann,et al.  Pairs Trading: Performance of a Relative Value Arbitrage Rule , 1998 .

[9]  C. Granger Investigating causal relations by econometric models and cross-spectral methods , 1969 .

[10]  Boris Hennig,et al.  The Four Causes , 2009 .

[11]  W. Arthur Positive feedbacks in the economy , 1990 .

[12]  G. Sugihara,et al.  Generalized Theorems for Nonlinear State Space Reconstruction , 2011, PloS one.

[13]  G. Yule Why do we Sometimes get Nonsense-Correlations between Time-Series?--A Study in Sampling and the Nature of Time-Series , 1926 .

[14]  V. Acharya,et al.  The Financial Crisis of 2007‐2009: Causes and Remedies , 2009 .

[15]  C. Granger Investigating Causal Relations by Econometric Models and Cross-Spectral Methods , 1969 .

[16]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[17]  David M Post,et al.  Local adaptation in transgenerational responses to predators , 2016, Proceedings of the Royal Society B: Biological Sciences.

[18]  Johan van de Koppel,et al.  Reconciling complexity with stability in naturally assembling food webs , 2007, Nature.

[19]  Prasanna Gai,et al.  Contagion in financial networks , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[20]  John E. Hall,et al.  Guyton and Hall Textbook of Medical Physiology , 2015 .

[21]  Simon H. Kwan Firm-specific information and the correlation between individual stocks and bonds , 1996 .

[22]  B. Crespi,et al.  Vicious circles: positive feedback in major evolutionary and ecological transitions. , 2004, Trends in ecology & evolution.

[23]  Schreiber,et al.  Measuring information transfer , 2000, Physical review letters.

[24]  Plato,et al.  The Collected Dialogues of Plato , 2019 .

[25]  K. Pearson VII. Note on regression and inheritance in the case of two parents , 1895, Proceedings of the Royal Society of London.

[26]  H Eugene Stanley,et al.  Complex dynamics of our economic life on different scales: insights from search engine query data , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[27]  Symbolic dynamics , 2008, Scholarpedia.

[28]  Yalin Gündüz,et al.  Impacts of the Financial Crisis on Eurozone Sovereign CDS Spreads , 2014 .

[29]  Panos M. Pardalos,et al.  Statistical analysis of financial networks , 2005, Comput. Stat. Data Anal..

[30]  F. Takens Detecting strange attractors in turbulence , 1981 .

[31]  Dominique Perrin,et al.  Symbolic dynamics , 2010, Handbook of Automata Theory.

[32]  George Sugihara,et al.  Detecting Causality in Complex Ecosystems , 2012, Science.

[33]  J. Pearl Causality: Models, Reasoning and Inference , 2000 .

[34]  G. Hunanyan,et al.  Portfolio Selection , 2019, Finanzwirtschaft, Banken und Bankmanagement I Finance, Banks and Bank Management.

[35]  George Sugihara,et al.  Tracking and forecasting ecosystem interactions in real time , 2016, Proceedings of the Royal Society B: Biological Sciences.

[36]  H. Stanley,et al.  Switching processes in financial markets , 2011, Proceedings of the National Academy of Sciences.