Artikel

Time-consistent investment and consumption strategies under a general discount function

In the present paper, we investigate the Merton portfolio management problem in the context of non-exponential discounting, a context that gives rise to time-inconsistency of the decision-maker. We consider equilibrium policies within the class of open-loop controls that are characterized, in our context, by means of a variational method which leads to a stochastic system that consists of a flow of forward-backward stochastic differential equations and an equilibrium condition. An explicit representation of the equilibrium policies is provided for the special cases of power, logarithmic and exponential utility functions.

Sprache
Englisch

Erschienen in
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 14 ; Year: 2021 ; Issue: 2 ; Pages: 1-27 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
equilibrium strategies
investment-consumption problem
Merton portfolio problem
non-exponential discounting
stochastic maximum principle
stochastic optimization
time inconsistency

Ereignis
Geistige Schöpfung
(wer)
Alia, Ishak
Chighoub, Farid
Khelfallah, Nabil
Vives, Josep
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2021

DOI
doi:10.3390/jrfm14020086
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Artikel

Beteiligte

  • Alia, Ishak
  • Chighoub, Farid
  • Khelfallah, Nabil
  • Vives, Josep
  • MDPI

Entstanden

  • 2021

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