[Vortraege] Nachtrag Vortragsankündigungen der komm. Woche (KW33)
Danijela Radosavljevic
Danijela.Radosavljevic at univie.ac.at
Fri Aug 13 14:16:22 CEST 2010
Sehr geehrte Fakultätsmitglieder,
anbei ein Nachtrag der Vortragsankündigungen für die nächste Woche.
Dienstag, 17. August 2010, von 16:00 Uhr – 17:00 Uhr, Seminarraum D 103,
UZA 4
Finanzmathematik
Vortrag
Richard Vierthauer (Christian-Albrechts-Universität zu Kiel):
"Exponential Utility Maximization and the Minimal Entropy Martingale
Measure in Affine Stochastic Volatility Models"
Abstract:
We show that the minimal entropy martingale measure (MEMM) exists if the
dynamics of multivariate assets belongs to a class of affine stochastic
volatility models characterized by their affine structure and an
additional structure condition. In this framework we solve the
corresponding exponential utility maximization problem. As an
application this leads to explicit formulas in some stochastic
volatility models allowing for multivariate volatilities. Since the
knowledge of the MEMM is a key ingredient for asymptotic exponential
utility-based pricing and hedging, we use our results in order to
compute first-order approximations of utility-indifference prices and
utility-based hedging strategies in affine stochastic volatility models.
We illustrate our results with a numerical example in the superposition
model of Barndorff-Nielsen & Shephard.
Mit freundlichen Grüßen
Danijela Radosavljevic
Sekretariat
Institut für Mathematik
Universität Wien
Nordbergstr. 15, UZA 4
Tel: 43 1 4277 50629
Fax: 43 1 4277 9506
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