Two Approaches for a Dividend Maximization Problem under an Ornstein-Uhlenbeck Interest Rate

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Externe Organisationseinheiten

  • Technische Universität Wien
  • Universität Graz

Abstract

We investigate a dividend maximization problem under stochastic interest rates with Ornstein-Uhlenbeck dynamics. This setup also takes negative rates into account. First a deterministic time is considered, where an explicit separating curve α(t) can be found to determine the optimal strategy at time t. In a second setting, we introduce a strategy-independent stopping time. The properties and behavior of these optimal control problems in both settings are analyzed in an analytical HJB-driven approach, and we also use backward stochastic differential equations.

Details

OriginalspracheEnglisch
Aufsatznummer2257
Seitenumfang20
FachzeitschriftMathematics
Jahrgang9.2021
Ausgabenummer18
DOIs
StatusVeröffentlicht - 14 Sept. 2021