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...