I examine the effects of Nasdaq's introduction of an anonymous trading facility called SIZE. I compare SIZE to competing ECNs in terms of liquidity and market impact. Despite rapid growth, SIZE has not yet attained a significant market share and rarely influences short-run price evolution. I...

This paper examines a variety of methods for extracting implied probability distributions from option prices and the underlying. The paper first explores non-parametric procedures for reconstructing densities directly from options market data. I then consider local volatility functions, both...