This paper will introduce Variance-Gamma Model and the differences and the similarities between it and the traditional Black-Scholes Model.Then it will focus on Monte Carlo and Quasi-Monte Carlo methods and introduce three ways to generate VG process.To combine these three ways respectively with MC and QMC methods,we can generate assets' price process and price the derivative such as Arithmetic Asian call option and European call option here.At last,we will compare these pricing methods and study the advantages and disadvantages of QMC method on MC method. |