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Forward equations for option prices in semimartingale models

We derive a forward partial integro-differential equation for prices of call options in a model where the dynamics of the underlying asset under the pricing measure is described by a -possibly discontinuous- semimartingale. A uniqueness theorem is given for the solutions of this equation. This result generalizes Dupire's forward equation to a large class of non-Markovian models with jumps.
Year of publication:
2010-01
Authors: Cont, Rama ; Bentata, Amel
Institutions: arXiv.org
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Language: English
Source:
Persistent link: https://www.econbiz.de/10008568582
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