Arbeitspapier

Optional decompositions under constraints

Motivated by a hedging problem in mathematical finance, El Karoui and Quenez [7] and Kramkov [14] have developed optional versions of the Doob-Meyer decomposition which hold simultaneously for all equivalent martingale measures. We investigate the general structure of such optional decompositions, both in additive and in multiplicative form, and under constraints corresponding to di_erent classes of equivalent measures. As an application, we extend results of Karatzas and Cvitanic [3] on hedging problems with constrained portfolios.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 1997,31

Classification
Wirtschaft

Event
Geistige Schöpfung
(who)
Föllmer, Hans
Kramkov, D. O.
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
1997

Handle
URN
urn:nbn:de:kobv:11-10064163
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Föllmer, Hans
  • Kramkov, D. O.
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Time of origin

  • 1997

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