We introduce a novel description of the dynamics of the order book of financial markets as that of an effective colloidal Brownian particle embedded in fluid particles. The analysis of a comprehensive market data enables us to identify all motions of the fluid particles. Correlations between the...

This short review presents a selected history of the mutual fertilization between physics and economics, from Isaac Newton and Adam Smith to the present. The fundamentally different perspectives embraced in theories developed in financial economics compared with physics are dissected with the...

For a large financial market (which is a sequence of usual, “small” financial markets), we introduce and study a concept of no asymptotic arbitrage (of the first kind) which is invariant under discounting. We give two dual characterisations of this property in terms of (1) martingale-like...

We study general undiscounted asset price processes, which are only assumed to be non- negative, adapted and RCLL (but not a priori semimartingales). Traders are allowed to use simple (piecewise constant) strategies. We prove that under a discounting-invariant condition of absence of arbitrage,...

In general multi-asset models of financial markets, the classic no-arbitrage concepts NFLVR and NUPBR have the serious shortcoming that they depend crucially on the way prices are discounted. To avoid this economically unnatural behaviour, we introduce a new way of defining “absence of...

We develop the concept of “dragon-kings” corresponding to meaningful outliers, which are found to coexist with power laws in the distributions of event sizes under a broad range of conditions in a large variety of systems. These dragon-kings reveal the existence of mechanisms of...

We construct risk-neutral return probability distributions from S&P 500 options data over the decade 2003 to 2013, separable into pre-crisis, crisis and post-crisis regimes. The pre-crisis period is characterized by increasing realized and, especially, option-implied returns. This translates...

Sentiment analysis is applied to the Federal Reserve's documents relating to the Federal Open Market Committee (FOMC). A new method of rating the sentiment of texts is developed through the creation of a 100 000 word sentiment dictionary, and is used to estimate the sentiment of the Beige Book...

This paper establishes a new empirical fact: mutual funds' flow-performance sensitivity is a hump-shaped function of aggregate risk-factor realizations. Explanations based on extant theories can only explain a fraction of the pattern. We thus develop a new parsimonious model. It assumes Bayesian...

Following the 2008 financial crisis, regulation mandates the clearing of the CDS market through Central Clearing Counter-parties (CCPs). Large CCPs are now designated as 'Global Systemically Important Institutions' (GSIIs), whose unlikely-but-plausible failure threatens global financial market...