Soh, Celestin Wafo2019-02-202019-02-201997https://hdl.handle.net/10539/26443A Lie group assisted method is used to solve explicitly an arbitrary initial value problem for the Black-Scholes equation, This equation plays a crucial role in the mathematics of finance. It was first solved by its inventors for a special initial data. Our solution generalises the well-known Black-Scholes formula.enLie groups.Cauchy problem.Differential equations, Partial.Mathematical models.Business mathematics.Thesis