We study the problem of finding the minimal initial capital needed in order to hedge without risk a barrier option when the vector of proportions of wealth invested in each risky asset is constraint to lie in a closed convex domain. In the context of a Brownian diffusion model, we provide a PDE...

This paper sets out an analytical framework for optimal asset allocation of sovereign wealth, based on the theory of contingent claims analysis applied to the sovereigns economic balance sheet. A country solves an asset-liability management problem involving its sources of income and its...

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...

In this paper, we investigate the relative importance of drivers to pension funds’ asset allocation choices. We specifically test if the contrast between regulatory approaches of public and private Defined Benefits (DB) pension funds in the US, Canada and the Netherlands have an impact on the...

We consider a multivariate financial market with proportional transaction costs as in Kabanov (1999). We study the problem of contingent claim pricing via utility maximization as in Hodges and Neuberger (1989). Using an exponential utility function, we derive a closed form characterization for...

This work shows how long-term investors can benefit from adding volatility as an asset class to their portfolio. Two types of "structural" exposure – long implied volatility and long volatility risk premium – are now simple to implement. Implied volatility exposure can be used to...

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...

Adding volatility exposure to an equity portfolio offers interesting opportunities for long-term investors. This article discusses the advantages of adding a long volatility strategy for a protection to a global European equity portfolio and to specific equity portfolios based in "core" or...

The diversifying power of inflation-linked (IL) bonds relative to traditional asset classes has changed significantly. In this paper, we study the dynamics of conditional volatilities and correlations for three asset classes, IL bonds, nominal bonds, and equities, in the USA and Europe. Using a...