By considering the failure of normal distribution and continuous assumption in financial modeling,this paper attempts to apply the Exponential Variance Gamma (EVG) model into the pricing framework of permanent convertible bonds with call clause.Following framework of Gapeev & Kühn(2005),we obtain an explicit solution to the bond price and optimal stopping strategies,which shows that the new pricing framework is quite different from the continuous model and even the Jump Diffusion model.Compared with the numerical calculation,the closed form results price convertible bonds quickly and accurately.