We study the problem of investing in securities in order to maximize the after-tax rate of return. We consider a single stock modeled as geometric Brownian motion along with the objective of maximizing the long-run growth rate of after-tax wealth. We show that it is optimal not only to cut short...

The idea of using stochastic control methods for theoretical studies of portfolio management has long been standard, with maximum expected utility criteria commonly being used. But in recent years a new kind of criterion, the risk sensitive criterion, has emerged from the control theory...