In 2009, Avellaneda and Lipkin (A&L) proposed a dynamic model for hard-to-borrow stocks, in which the stock price and the buy-in rate, an additional factor introduced by them, are full coupled. In order to obtain a semi-explicit pricing formula for European call options, A&L had to make an...

We provide a closed-form solution to an optimal investment and consumption problem for a constant absolute risk aversion (CARA) agent, who faces execution costs when trading correlated risky assets with return predictability. The optimal investment strategy indicates that the agent should trade...

In this paper, we provide a closed-form solution to an optimal portfolio execution problem with stochastic price impact and stochastic net demand pressure. Specifically, each trade of an investor has temporary and permanent price impacts, both of which are driven by a continuous-time Markov...

In an incomplete market model where convex trading constraints are imposed upon the underlying assets, it is no longer possible to obtain unique arbitrage-free prices for derivatives using standard replication arguments. Most existing derivative pricing approaches involve the selection of a...

This paper investigates the strategic interaction of information acquisition and noise trading patterns, as well as its significant implications in market equilibrium outcomes. We consider a market where the strategic trader can dynamically acquire costly information about an asset's payoff via...

This paper investigates the strategic interaction of information acquisition and noise trading patterns, as well as its significant implications in market equilibrium outcomes. We consider a market where the strategic trader can dynamically acquire costly information about an asset's payoff via...

This work studies the long-range dependence of retail trading in the stock market. Strong evidence is found for the presence of long memory in retail trading activity, and this finding is robust to the choice of retail trade identification criteria and statistical estimators for the memory...

This paper investigates the strategic interaction of information acquisition, information-based dynamic trading, and noise trading patterns, as well as its significant implications on market equilibrium outcomes. We consider a market where the strategic trader can dynamically acquire costly...

This paper addresses the joint calibration problem of SPX options and VIX options or futures. We show that the problem can be formulated as a semimartingale optimal transport problem under a finite number of discrete constraints, in the spirit of [arXiv:1906.06478]. We introduce a PDE...

In this paper, we introduce and develop the theory of semimartingale optimal transport in a path dependent setting. Instead of the classical constraints on marginal distributions, we consider a general framework of path dependent constraints. Duality results are established, representing the...