In this paper, we consider the optimal investment problem for an insurer who has n dependent lines of business. The surplus process of the insurer is described by a n-dimensional compound Poisson risk process. Moreover, the insurer is allowed to invest in a risk-free asset and a risky asset whose price process follows the constant elasticity of variance (CEV) model. The investment objective is ...

A dynamic model of investment process for a technology innovator in a market environment is designed. The ”light” dynamics of the active innovator is described by the system of exponential trajectories in which one can quickly change growth parameters. It is assumed that the innovator operates in the inert market environment which can be presented by ”heavy” exponential trajectories. The growth...