A Simple Proof of Functional Itô's Lemma for Semimartingales with an Application
2013
The Ito formula was extended recently by Dupire (2009) to functionals of paths of continuous semimartingales, and by Cont and Fournie (2010a) to functionals of paths of RCLL semimartingales. In contrast to the traditional formula that applies to functions of the current value of a process, these extensions apply to functionals of the history of a process. By modifying Dupire’s setup we develop new proofs for both the continuous case and the more general RCLL case that are much simpler. We also examine an application to optimal control.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
7
References
12
Citations
NaN
KQI