Formal theoretical proofs show modeling of stock returns on `everywhere differentiable' continuums always is inappropriate to modeling of rational expectations equilibriums (REE). Simultaneously, modeling of stock returns in discrete time always is robust to modeling of each of REE, or...

A basket is a set of instruments that are held together because its statistical profile delivers a desired goal, such as hedging or trading, which cannot be achieved through the individual constituents or even subsets of them. Multiple procedures have been proposed to compute hedging and trading...

Recently Andersen and Bondarenko posted a paper on SSRN with the title “VPIN and the Flash Crash” which is essentially a comment on our earlier work on the measure of order toxicity, VPIN. Andersen and Bondarenko dispute our empirical findings and argue that VPIN essentially doesn't work. We...

Because the Sharpe ratio only takes into account the first two moments, it wrongly “translates” skewness and excess kurtosis into standard deviation.As a result: It deflates the skill measured on “well-behaved” investments (positive skewness, negative excess kurtosis). It inflates the...

Multiple empirical studies have shown that Order Flow Imbalance has predictive power over the trading range.The PIN Theory (Easley et al. [1996]) reveals the Microstructure mechanism by which:– Market Makers adjust their trading range to avoid being adversely selected by Informed Traders.–...

Every structure has natural frequencies. Minor shocks in these frequencies can bring down any structure, e.g. a bridge. An Investment Universe also has natural frequencies, characterized by its eigenvectors. A concentration of risks in the direction of any such eigenvector exposes a portfolio to...

This paper reconsiders the predictions of the standard option pricing models in the context of incomplete markets. We relax the completeness assumption of the Black-Scholes (1973) model and as an immediate consequence we can no longer construct a replicating portfolio to price the option....

The problem of capital allocation to a set of strategies could be partially avoided or at least greatly simplified with an appropriate strategy approval decision process. This paper proposes such a procedure.We begin by splitting the capital allocation problem into two sequential stages:...

We divide hedging methods between single-period and multi-period. After reviewing some well-known hedging algorithms, two new procedures are introduced, called Dickey-Fuller Optimal (DFO), Mini-Max Subset Correlation (MMSC). The former is a multi-period, cointegration-based hedging method that...

Understanding the microstructure of the financial market requires the processing of a vast amount of data related to individual trades, and sometimes even multiple levels of quotes. Analyzing such a large volume of data requires tremendous computing power that is not easily available to...