On Stochastic Optimization Problems and an Application in Finance

 
 
Springer Spektrum (Verlag)
  • erschienen am 19. März 2019
 
  • Buch
  • |
  • Softcover
  • |
  • IX, 106 Seiten
978-3-658-25690-6 (ISBN)
 
Josef Anton Strini analyzes a special stochastic optimal control problem. The problem under study arose from a dynamic cash management model in finance, where decisions about the dividend and financing policies of a firm have to be made. Additionally, using the dynamic programming approach, he extends the present discourse by the formal derivation of the Hamilton-Jacobi-Bellman equation and by examining the verification step carefully. Finally, the treatment is completed by solving the problem numerically.
1st ed. 2019
  • Englisch
  • Wiesbaden
  • |
  • Deutschland
Springer Fachmedien Wiesbaden GmbH
  • Für Beruf und Forschung
  • 4 farbige Tabellen, 1 s/w Abbildung
  • |
  • 4 farbige Abbildungen, 4 farbige Tabellen, Bibliographie
  • Höhe: 210 mm
  • |
  • Breite: 148 mm
  • |
  • Dicke: 6 mm
  • 162 gr
978-3-658-25690-6 (9783658256906)
10.1007/978-3-658-25691-3
weitere Ausgaben werden ermittelt
Josef Anton Strini wrote his master's thesis under the supervision of Prof. Dr. Stefan Thonhauser at the Institute of Statistics at Graz University of Technology, Austria.

Optimal Control of Markov Processes.- A Singular Stochastic Control Problem.- Dynamic Programming Approach and Consequences.

Josef Anton Strini analyzes a special stochastic optimal control problem. The problem under study arose from a dynamic cash management model in finance, where decisions about the dividend and financing policies of a firm have to be made. Additionally, using the dynamic programming approach, he extends the present discourse by the formal derivation of the Hamilton-Jacobi-Bellman equation and by examining the verification step carefully. Finally, the treatment is completed by solving the problem numerically.
Contents

- Optimal Control of Markov Processes

- A Singular Stochastic Control Problem

- Dynamic Programming Approach and Consequences

Target Groups

- Researchers and students in the fields of mathematics, probability theory and applied mathematics in financial and actuarial industry

- Mathematicians from the financial and actuarial industry

The Author
Josef Anton Strini wrote his master's thesis under the supervision of Prof. Dr. Stefan Thonhauser at the Institute of Statistics at Graz University of Technology, Austria.

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