Mean‐Variance Hedging for Stochastic Volatility Models

Biagini, Francesca ; Guasoni, Paolo und Pratelli, Maurizio (2000): Mean‐Variance Hedging for Stochastic Volatility Models. In: Mathematical Finance, Bd. 10, Nr. 2: S. 109-123

Abstract

In this paper we discuss the tractability of stochastic volatility models for pricing and hedging options with the mean-variance hedging approach. We characterize the variance-optimal measure as the solution of an equation between Doléans exponentials; explicit examples include both models where volatility solves a diffusion equation and models where it follows a jump process. We further discuss the closedness of the space of strategies.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0960-1627
• Sprache: Englisch