In this thesis we deal with different topics in financial mathematics, that are all related to market imperfections and to the fundamental technique of utility maximization. The work consists of three parts. In the first one, which is based on two papers, we consider the problem of optimal...

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...

In this paper we deal with a utility maximization problem at finite horizon on a continuous-time market with conical (and time varying) constraints (particularly suited to model a currency market with proportional transaction costs). In particular, we extend the results in Campi and Owen (2011)...

This paper sets out a new analytical framework for optimal asset allocation of sovereign wealth, based on the theory of contingent claim ana lysis (CCA) applied to the sovereign’s economic balance sheet. A country solves an asset-l iability management (ALM) problem between its sources of...

This paper addresses management of sovereign wealth from the perspective of the theory of contingent claims. Starting with the sovereign's balance sheet, we frame sovereign fund management as an asset-liability management (ALM) problem, covering all public entities and taking explicit account of...