Master semester project: 2008-2009 ==== Stochastic Volatility Models ==== \\ **Description:**\\ The purpose of the project is to study the theory behind the Black & Scholes formula and various volatility models, with a practical application to option pricing. \\ **Prerequisites:**\\ The student should have a prior knowledge of stochastic calculus.\\ \\ **References:** D. Lamberton, B. Lapeyre, "Introduction au calcul stochastique applique a la finance", Ellipses, 1997.\\ S. A. Hesten, "A Closed-Fom Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options", The Review of Financial Studies, Vol . 6, No 2, 1993.\\ E. Derman, I. Kani, "Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility", International Journal of Theoretical and Applied Finance (IJTAF), Vol. 1, No 1, January 1998, pp. 61 - 110.\\ **Supervisor:** Olivier Lévêque (LTHI) * Email: olivier.leveque#epfl.ch * Office: INR-132 * tel: 38112\\ \\ [[en:projects:mastersemester:msp|back to master semester projects]]