TITLE:
Black-Scholes Model under G-Lévy Process
AUTHORS:
Yifei Xin, Hong Zheng
KEYWORDS:
G-Lévy Process, G-Itô Formula, Integro-PDE
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.12,
December
29,
2021
ABSTRACT: In this paper, we study the option price theory of stochastic differential equations under G-Lévy process. By using G-Itô formula and G-expectation property, we give the proof of Black-Scholes equations (Integro-PDE) under G-Lévy process. Finally, we give the simulation of G-Lévy process and the explicit solution of Black-Scholes under G-Lévy process.