We investigate the problem of dynamic optimal capital growth of diversified investment. A general framework that the trader maximize the expected log utility of long-term growth rate of initial wealth was developed. We show that the trader's fortune will exceed any fixed bound when the fraction...

In this paper, risk metrics in capital growth and drawdown as a financial risk measure were considered. Moreover, we developed a dynamic portfolio management model with constraints on the maximal drawdown. Exact optimization algorithms run into difficulties in this framework and this motivates...

We investigate the problem of dynamic optimal capital growth of a portfolio. A general framework that one strives to maximize the expected logarithm utility of long term growth rate was developed. Exact optimization algorithms run into difficulties in this framework and this motivates the...