We develop a High Frequency (HF) trading strategy where the HF trader uses her superior speed to process information and to post limit sell and buy orders. By introducing a multi-factor mutually-exciting process we allow for feedback effects in market buy and sell orders and the shape of the...

We propose a class of execution algorithms that consists of a strategic layer and a speculative layer. The strategic layer is an optimal trading schedule that encodes the trader's objective, her tolerance to risk, and the impact of her own trades in the market. The schedule of the strategic...

This paper offers a model for financial market crashes without the two basic hypotheses - the assets are perfectly divisible, and their trading takes place continuously in time. We show that financial market crashes stem endogenously from an inherent characteristic of financial markets rather...

A new acceptable price approach to stochastic endpoint determination at given horizon accounting for the marginal investor beliefs and behaviour was proposed. Two-sided filtration with FBSDE defined stochastic dynamics was formulated for acceptable asset price under the risk-neutral probability...

We discover that letting agents pairwise sequentially exchange at "wrong" prices has a robust effect on prices at convergence. If the initial relative price for a good is cheaper than the equilibrium walrasian price due to initial endowments, the initial excess demand effect pushes resource...

This paper studies the dynamic behavior of asset prices using a chartist - fundamentalist model with two speculative markets. To this effect, we employ a differential system with delays similar to Dibeh (2007) to describe the price dynamics and we assume that the two markets are coupled via...

Order flow in equity markets is remarkably persistent in the sense that order signs (to buy or sell) are positively autocorrelated out to time lags of tens of thousands of orders, corresponding to many days. Two possible explanations are herding, corresponding to positive correlation in the...

We introduce a heterogeneous agent asset pricing model in continuous-time to show that trend chasing, switching and herding all contribute to market volatility in price and return and volatility clustering, but their impact are different. On the one hand, the fluctuations of market price and...

I study the effect of heterogeneous beliefs about asset prices on the long-term behavior of financial markets. Starting from the ideas of Abreu and Brunnermeier (2003), a two-dimensional system of differential equations is developed. The first dynamic variable is the asset price growth rate. The...

Within a financial market where a risk-free bond and a long-lived risky asset are exchanged by investors with heterogeneous trading rules, we assume that the investors most exposed to the risky asset are subject to joint liquidation needs. The latter encompass a risk whenever the market impact...