Il giorno Martedì 2 Dicembre 2014, alle ore 14:30
presso la sede di Prometeia (sala grande, primo piano)
via G.Marconi 43, Bologna
Tiziano VARGIOLU
(Università di Padova)
terrà un seminario dal titolo
"Utility indifference pricing and hedging for structured contracts in
energy markets"
Abstract
In this paper we focus on pricing of structured products in energy markets
using utility indifference pricing approach. In particular, we compute the
buyer's price of such derivatives for an agent investing in the forward
market, whose preferences are described by an exponential utility
function. Such a price is characterized in terms of continuous viscosity
solutions of suitable non-linear PDEs. This provides an effective way to
compute both an optimal exercise strategy for the structured product and a
portfolio strategy to partially hedge the financial position. In the
complete market case, the financial hedge turns out to be perfect and the
PDE reduces to particular cases already treated in the literature.
Moreover, in a model with two assets and constant correlation, we obtain a
representation of the price as the value function of an auxiliary simpler
optimization problem under a risk neutral probability, that can be viewed
as a perturbation of the minimal entropy martingale measure. Finally,
numerical results are provided.