This paper presents a continuous-time model of exchange rates relying not only on macroeconomic factors but also having a market microstructure component. The driving macroeconomic factor is the interest rate differential, while the market microstructure element is described by the expectations...

Part I The Fundamentals of Derivative Security Pricing -- 1 The Stock Option Problem -- 2 Stochastic Processes for Asset Price Modelling -- 3 An Initial Attempt at Pricing an Option -- 4 The Stochastic Differential Equation -- 5 Manipulating Stochastic Differential Equations and Stochastic...

The "quant crisis" of 2007 and subsequent unfolding of the global financial crisis highlighted the importance of the "crowded-trade" problem (not being able to know how many others are taking the same position). To investigate the crowded trading, we present a model in which informed and...

How does a market digest order imbalance? We show that when market participants learn about the level of adverse selection (the risk of trading against better-informed counterparties) from order flow, a large order imbalance can be destabilizing, causing sharp price movements and evaporation of...

We reconsider the derivation of the traditional capital asset pricing model (CAPM) in the discrete time setting for a portfolio of one riskless asset and many risky assets. In contrast to the standard setting, it is assumed that agents are heterogeneous in their conditional means and covariances...

This paper is a contribution to the literature on the explanatory power and calibration of heterogeneous asset pricing models. We set out a new stochastic market-fraction asset pricing model of fundamentalists and trend followers under a market maker. Our model explains key features of financial...