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.

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Year of publication:	2010-01
Authors:	Cont, Rama ; Bentata, Amel
Institutions:	arXiv.org

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Extent:	application/pdf
Series:	Papers.
Type of publication:	Book / Working Paper
Language:	English
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008568582