Numerical solution of the time fractional Black-Scholes equation using B-spline technique.

Autor: Akram, Tayyaba, Abbas, Muhammad, Ismail, Ahmad Izani, Sabri, Shamsul Rijal Muhammad, Noor, Norlida Mohd
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Zdroj: AIP Conference Proceedings; 2021, Vol. 2423 Issue 1, p1-7, 7p
Abstrakt: Financial theory can incorporate fractional differential equation, which provides new concepts and methods for theoret- ical analysis and practical implementations. In this research, a numerical method to solve time fractional Black-Scholes European option pricing model is developed and applied using extended cubic B-spline and Caputo fractional derivative. The numerical and graphical results shows that the option prices from the proposed technique agree well with the analytical solution. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index