The Stochastic Discount Factor: Extending the Volatility Bound and a New Approach to Portfolio Selection with Higher-Order Moments Staff Working Paper 2005-2 Fousseni Chabi-Yo, René Garcia, Eric Renault The authors extend the well-known Hansen and Jagannathan (HJ) volatility bound. HJ characterize the lower bound on the volatility of any admissible stochastic discount factor (SDF) that prices correctly a set of primitive asset returns. Content Type(s): Staff research, Staff working papers Research Topic(s): Financial markets, Market structure and pricing JEL Code(s): C, C6, C61, G, G1, G11, G12