Work

The Martingale Representation Theorem and Clark-Ocone formula

Year: 2013
Type: preprint
Abstract: In this paper we explore the fundamentals of the Martingale Representation Theorem (MRT) and a closely related result, the Clark-Ocone formula. We also investigate how far these theorems can be taken, notably beyond the regular Sobolev spaces, through changes of measures and enlargement of filtrations. We look at Brownian motion (B.M.) driven continuous martingales as well as Jump and Levy process-driven martingales.
Language: English
Subfield: Finance
Open Access status: green
OpenAlex ID: W1569936060
Cites: 6
Cited by:
Related to: 10