Should an investor unwind his portfolio in the face of changing economic conditions? We study an investor's optimal trading strategy with finite horizon and transaction costs in an economy that switches stochastically between two market conditions. We fully characterize the investor's time...

This paper is concerned with the optimality of a trend following trading rule. The idea is to catch a bull market at its early stage, ride the trend, and liquidate the position at the first evidence of the subsequent bear market. We characterize the bull and bear phases of the markets...

We remove the technical assumption $\gamma>0$ imposed by Dai et. al. who consider the optimal investment and consumption decision of a CRRA investor facing proportional transaction costs and finite time horizon. As a by-product, we obtain an estimate on the optimal consumption

We aim to determine an optimal stock selling time to minimize the expectation of the square error between the selling price and the global maximum price over a given period. Assuming that stock price follows the geometric Brownian motion, we formulate the problem as an optimal stopping time...

The large amount of leverage used by institutional investors and retail investors, corporations and households, is frequently cited as a major contributor of the current financial crisis. Recent events highlight the importance of leverage management, and the painful decision to de-leverage,...