As in the case with perfect foresight, under conditions of uncertainty investors respond to changes in the assets' relative returns. An increase in the expected return of one asset here typically (if both assets are not perfectly correlated) induces a shift, but not a plunge toward that asset....

This paper considers the mean-reverting portfolio (MRP) design problem arising from statistical arbitrage (a.k.a. pairs trading) in the financial markets. It aims at designing a portfolio of underlying assets by optimizing the mean reversion strength of the portfolio, while taking into...

We study production planning integrated with risk hedging by considering shortfall as the risk measure. In addition to the one-time production quantity decision, there is a real-time hedging strategy throughout the horizon; and the goal is to minimize the gap between a pre-specified target and...