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Optimal Investment Strategy to Minimize Occupation Time
Optimal Investment Strategy Minimize Occupation Time
2010/12/20
We find the optimal investment strategy to minimize the expected time that an individual's wealth stays below zero, the so-called {\it occupation time}. The individual consumes at a constant rate and...
Transformation methods for evaluating approximations to the optimal exercise boundary for linear and nonlinear Black-Scholes equations
Transformation methods evaluating approximations optimal exercise boundary linear nonlinear Black-Scholes equations
2010/12/17
The purpose of this survey chapter is to present a transformation technique that can be used in analysis and numerical computation of the early exercise boundary for an American style of vanilla opti...
Optimal solution of investment problems via linear parabolic equations generated by Kalman filter
Optimal solution investment problems via linear parabolic equations generated Kalman filter
2010/12/17
We consider optimal investment problems for a diffusion market model with non-observable random drifts that evolve as an Ito's process. Admissible strategies do not use direct observations of the mar...
Limit of the Solutions for the Finite Horizon Problems as the Optimal Solution to the Infinite Horizon Optimization Problems
Limit Solutions Finite Horizon Problems Optimal Solution Infinite Horizon Optimization Problems
2010/12/17
We aim to generalize the results of Cai and Nitta (2007) by allowing both the utility and production function to depend on time. We also consider an additional intertemporal optimality criterion. We ...
Constructing the Optimal Solutions to the Undiscounted Continuous-Time Infinite Horizon Optimization Problems
Constructing Optimal Solutions Undiscounted Continuous-Time Infinite Horizon Optimization Problems
2010/12/17
We aim to construct the optimal solutions to the undiscounted continuous-time infinite horizon optimization problems, the objective functionals of which may be unbounded. We identify the condition un...