We study an optimal multiple stopping problem driven by a spectrally negative Levy process. The stopping times are separated by constant refraction times, and the discount rate can be positive or negative. The computation involves a distribution of the Levy process at a constant horizon and...

The share of market making conducted by high-frequency trading (HFT) firms has been rising steadily. A distinguishing feature of HFTs is that they trade intraday, ending the day flat. To shed light on the economics of HFTs, and in a departure from existing market-making theories, we model an HFT...

We investigate a game of singular control and strategic exit in a model of competitive market share control. In the model, each player can make irreversible investments to increase his market share which is modeled as a diffusion process. In addition, each player has an option to exit the market...

The U.S. Treasury market is highly intermediated by nonbank principal trading firms (PTFs). Limited capital forces PTFs to end the trading day roughly flat. We construct a continuous time market making model to analyze the trade-off faced by a profit-maximizing firm with overnight inventory...

The U.S. Treasury market is highly intermediated by non-bank principal trading firms (PTFs). Limited capital forces PTFs to end the trading day nearly flat. We construct a continuous time market making model to analyze the trade-off faced by a profit maximizing firm with overnight inventory...

We model the execution of large uninformed sell orders in the presence of strategic competitive market makers. We solve for the unique symmetric equilibrium of the model in closed-form. Our equilibrium findings provide a rationale for the empirically observed patterns of (i) short orders...

This paper studies the stochastic modeling of market drawdown events and the fair valuation of insurance contracts based on drawdowns. We model the asset drawdown process as the current relative distance from the historical maximum of the asset value. We first consider a vanilla insurance...

This paper develops a new framework for the design of collateral requirements in a centrally cleared market. Clearing members post collateral - initial margins and default funds - to increase their pledgeable income, thereby credibly committing to risk management. We show that initial margins...

This book provides a systematic study on the optimal timing of trades in markets with mean-reverting price dynamics. We present a financial engineering approach that distills the core mathematical questions from different trading problems, and also incorporates the practical aspects of trading,...