Forward equations for option prices in semimartingale models
arXiv:1001.1380 · doi:10.1007/s00780-015-0265-z
Abstract
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.
Proof shortened+ reference added. Final revision before publication