Arbeitspapier

Additional logarithmic utility of an insider

In this paper, we consider a security market in which two investors on different information levels maximize their expected logarithmic utility from terminal wealth. While the ordinary investor's portfolio decisions are based on a public information flow, the insider possesses from the beginning extra information about the outcome of some random variable G, e.g., the future price of a stock. We solve the two optimization problems explicitly and rewrite the insider's additional expected logarithmic utility in terms of a relative entropy. This allows us to provide simple conditions on G for the finiteness of this additional utility and to show that it is basically given by the entropy of G.

Sprache
Englisch

Erschienen in
Series: SFB 373 Discussion Paper ; No. 1998,25

Klassifikation
Wirtschaft
Thema
insider trading
entropy
utility maximization
initial enlargement of filtrations
relative entropy

Ereignis
Geistige Schöpfung
(wer)
Amendinger, Jürgen
Imkeller, Peter
Schweizer, Martin
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(wo)
Berlin
(wann)
1998

Handle
URN
urn:nbn:de:kobv:11-10056711
Letzte Aktualisierung
10.03.2025, 11:43 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

  • Arbeitspapier

Beteiligte

  • Amendinger, Jürgen
  • Imkeller, Peter
  • Schweizer, Martin
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Entstanden

  • 1998

Ähnliche Objekte (12)