%0 Journal Article %T Viscosity Solutions and American Option Pricing in a Stochastic Volatility Model of the Ornstein-Uhlenbeck Type %A Alexandre F. Roch %J Mathematics %D 2008 %I arXiv %X In this paper, we study the valuation of American type derivatives in the stochastic volatility model of Barndorff-Nielsen and Shephard (2001). We characterize the value of such derivatives as the unique viscosity solution of an integral-partial differential equation when the payoff function satisfies a Lipschitz condition. %U http://arxiv.org/abs/0812.2444v1