We propose a dynamical theory of market liquidity that predicts that the average supply/demand profile is V-shaped and {\it vanishes} around the current price. This result is generic, and only relies on mild assumptions about the order flow and on the fact that prices are (to a first...

We present a general method to detect and extract from a finite time sample statistically meaningful correlations between input and output variables of large dimensionality. Our central result is derived from the theory of free random matrices, and gives an explicit expression for the interval...

We present extensive evidence that "Risk Premium" is strongly correlated with tail-risk skewness, but very little with volatility. We introduce a new, intuitive definition of skewness, and elicit a linear relationship between the Sharpe ratio of various risk premium strategies (Equity,...