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- Title
Lie symmetry, exact solutions and conservation laws of bi-fractional Black–Scholes equation derived by the fractional G-Brownian motion.
- Authors
Yu, Jicheng; Feng, Yuqiang; Wang, Xianjia
- Abstract
The Black–Scholes equation is an important analytical tool for option pricing in finance. This paper discusses the Lie symmetry analysis of bi-fractional Black–Scholes equation derived by the fractional G-Brownian motion. Then some exact solutions are obtained and the figures of which are presented to illustrate the characteristics with different values of the parameters. In addition, the new conservation theorem and the generalization of the Noether operators are developed to construct the conservation laws for bi-fractional Black–Scholes equation.
- Subjects
CONSERVATION laws (Physics); BROWNIAN motion; SYMMETRY; OPTIONS (Finance); EQUATIONS; NOETHER'S theorem
- Publication
International Journal of Financial Engineering, 2024, Vol 11, Issue 1, p1
- ISSN
2424-7863
- Publication type
Article
- DOI
10.1142/S2424786323500378