## AbstractDiscrete time infinite horizon growth optimal investment in stock markets with transaction costs is considered. The stock processes are modelled by homogeneous Markov processes. Assuming that the distribution of the market process is known, we show two recursive investment strategies such that, in the long run, the growth rate on trajectories (in "liminf" sense) is greater than or equal to the growth rate of any other investment strategy with probability 1.
[Edit] |