• Medientyp: Bericht; E-Book
  • Titel: Optional decomposition and lagrange multipliers
  • Beteiligte: Föllmer, Hans [VerfasserIn]; Kabanov, Jurij M. [VerfasserIn]
  • Erschienen: Berlin: Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes, 1997
  • Sprache: Englisch
  • Schlagwörter: semimartingale ; optional decomposition ; G12 ; equivalent martingale measure ; Lagrange multiplier ; G10 ; Hellinger process
  • Entstehung:
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  • Beschreibung: Let Q be the set of equivalent martingale measures for a given process S, and let X be a process which is a local supermartingale with respect to any measure in Q. The optional decomposition theorem for X states that there exists a predictable integrand ф such that the difference X−ф•S is a decreasing process. In this paper we give a new proof which uses techniques from stochastic calculus rather than functional analysis, and which removes any boundedness assumption.
  • Zugangsstatus: Freier Zugang