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...

Markets often experience liquidity deteriorations during financial crisis and improvements during reforms in trading rules. To explain these phenomena, we present a price formation model in which market makers are subject to ambiguity. When the market maker is sufficiently ambiguity averse, the...

This paper discusses the efficient market hypothesis and behavioral finance under a general framework using the literature of decision theories and information sciences. The focus is centered on the broad de nition of subjective rationality, the imprecision, and reliability of information. The...

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...

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...