Correlated Time-Changed Lévy Processes

47 Pages Posted: 18 Aug 2018 Last revised: 11 Jan 2020

Date Written: August 6, 2018


Carr and Wu (2004), henceforth CW, developed a framework that encompasses almost all of the continuous-time models proposed in the option pricing literature. Their main result hinges on the stopping time property of the time changes, but all of the models CW proposed for the time changes do not satisfy this assumption. In this paper, when the time changes are adapted, but not necessarily stopping times, we provide analogous results to CW. We show that our approach can be applied to all models in CW.

Keywords: Jumps, Time Changes, Business Time

JEL Classification: G10, G12, G13

Suggested Citation

Fallahgoul, Hasan A and Nam, Kihun, Correlated Time-Changed Lévy Processes (August 6, 2018). Available at SSRN: or

Hasan A Fallahgoul (Contact Author)

Monash University ( email )

Clayton Campus
Victoria, 3800


Kihun Nam

Monash University ( email )

23 Innovation Walk
Wellington Road
Clayton, Victoria 3800

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