Numerical Solution of Pricing of European Put Option with Stochastic Volatility


Mathematics, D.A.V.P.G College,Dehradun


In this paper, European option pricing with stochastic volatility forecasted by well known GARCH model is discussed in context of Indian financial market. The data of Reliance Ltd. stockprice from 3/01/2000 to 30/03/2009 is used and resulting partial differential equation is solved byCrank-Nicolson finite difference method for various interest rates and maturity in time. Thesensitivity measures “Greeks” are also determined to validate the model. It is observed that the valueof European put option increases with maturity time and decreases with interest rate.