Motivated by an optimal investment problem under time horizon uncertainty and when default may occur, we study a general structure for an incomplete semimartingale model extending the classical terminal wealth utility maximization problem. This modelling leads to the formulation of a wealth-path...

We consider a financial market with costs as in Kabanov and Last (1999). Given a utility function defined on ${\mathbb R}$, we analyze the problem of maximizing the expected utility of the liquidation value of terminal wealth diminished by some random claim. We prove that, under the Reasonable...

We study the dual formulation of the utility maximization problem in incomplete markets when the utility function is finitely valued on the whole real line. We extend the existing results in this literature in two directions. First, we allow for nonsmooth utility functions, so as to include the...

This paper undertakes the issue of portfolio insurance from the perspective of a risk-averse agent requiring his financial wealth to grow at a floored rate in excess of an equity benchmark. The suggested solution is a generalization of the CPPI approach within a two-equity asset framework. The...

Schwartz and Hayward offer an alternative analysis of air pollution levels, trends, and prospects in metropolitan areas across the United States.

Claims that air pollution will increase are not only false, but the exact opposite of what will actually happen.