We are concerned with numerical solutions for the continuous-time portfolio selection with proportional transaction costs which is described as a singular stochastic control problem. The associated value function is governed by a variational inequality with gradient constraints. We propose a...

We propose a tractable model of dynamic investment, spinoffs, financing, and risk management for a multi-division firm facing costly external finance. Our main results are: (1) within-firm resource allocation is based not only on the divisions’ productivity—as in “winner picking”...

Many business opportunities feature second-mover advantages as there are often positive spillovers and externalities from early entrants to followers. We develop a tractable stochastic duopoly entry game with a second-mover advantage. We show that firms engage in a war-of-attrition game with the...

Many business opportunities feature second-mover advantages as there are often positive spillovers and externalities from early entrants to followers. We develop a tractable stochastic duopoly entry game with a second-mover advantage. We show that firms engage in a war-of-attrition game with the...

We develop a model where a realization-utility investor (Barberis and Xiong, 2009, 2012; Ingersoll and Jin, 2013) optimally targets her liquid-illiquid wealth ratio at a constant w∗. By saving in the risk-free asset (w∗ 0), she makes smaller bets in the illiquid asset and realizes gains/losses...