We propose a structural model of a financial institution that can invest in both liquid and illiquid assets. The goal of this firm is to maximize the profit of its shareholders, while satisfying some capital requirement and liquidity constraint. Using stochastic control techniques, we derive the...

We propose a pairs trading model that incorporates a time-varying volatility of the Constant Elasticity of Variance type. Our approach is based on stochastic control techniques; given a fixed time horizon and a portfolio of two cointegrated assets, we define the trading strategies as the...

Following a companion paper where we proposed a model of a financial institution that can invest in both liquid and illiquid assets and whose goal is to maximize the profit of its shareholders, while satisfying some capital and liquidity requirements, we now incorporate correlations between the...

Competition glider flying is a game of stochastic optimization, in which mathematics and quantitative strategies have historically played an important role. We address the problem of uncertain future atmospheric conditions by constructing a nonlinear Hamilton-Jacobi-Bellman equation for the...