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

Julia Eisenberg, Stefan Kremsner, Alexander Steinicke

Research output: Contribution to journalArticleResearchpeer-review


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.

Original languageEnglish
Article number2257
Number of pages20
Issue number18
Publication statusPublished - 14 Sept 2021

Bibliographical note

Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.


  • Stochastic Interest Rates
  • Optimal Control

Cite this