On the Two-Times Differentiability of the Value Functions in the Problem of Optimal Investment in Incomplete Markets

We study the two-times differentiability of the value functions of the primal and dual optimization problems that appear in the setting of expected utility maximization in incomplete markets. We also study the differentiability of the solutions to these problems with respect to their initial values....

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:The Annals of Applied Probability. - Institute of Mathematical Statistics. - 16(2006), 3, Seite 1352-1384
1. Verfasser: Kramkov, Dmitry (VerfasserIn)
Weitere Verfasser: Sîrbu, Mihai
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2006
Zugriff auf das übergeordnete Werk:The Annals of Applied Probability
Schlagworte:Utility maximization Incomplete markets Legendre transformation Duality theory Risk aversion Risk tolerance Mathematics Economics Business Philosophy