We introduce a numerical method to solve stochastic optimal control problems, which are linear in the control. We facilitate the idea of solving two-point boundary value problems with spline functions in order to solve the resulting dynamic programming equation. We then show how to effectively...

We solve a multi-period portfolio optimization problem using D-Wave Systems' quantum annealer. We derive a formulation of the problem, discuss several possible integer encoding schemes, and present numerical examples that show high success rates. The formulation incorporates transaction costs...

A financial portfolio typically pays dividend based on its value. We show that there is a unique portfolio that pays the maximum dividend rate while remaining solvent, under appropriate assumptions. We also give a characterization of both the portfolio and the optimal dividend rate