State-of-the-art stochastic volatility models generate a "volatility smirk" that explains why out-of-the-money index puts have high prices relative to the Black-Scholes benchmark. These models also adequately explain how the volatility smirk moves up and down in response to changes in risk....

This paper examines the ability of beta and size to explain cross-sectional variation in average returns in twelve European countries. We find that average stock returns are positively related to beta and negatively related to firm size. The beta premium is in part due to the fact that high beta...

State-of-the-art stochastic volatility models generate a "volatility smirk" that explains why out-of-the-money index puts have high prices relative to the Black-Scholes benchmark. These models also adequately explain how the volatility smirk moves up and down in response to changes in risk....

This paper develops an axiomatic framework for option valuation when option payoffs ar not spanned by spot and bond prices. This framework extends the parametric 'risk neutral valuation' results of rubinstein (1976) and brennan (1979) to general distributions. The valuation relationship...

"Point shaving is the practice by favored teams of attempting to win by less than the point spread to yield profits for gamblers who bet on the underdog. Consistent with point shaving, strong favorites are anomalously likely to win by less than the spread. To distinguish between innocent and...

We develop a GARCH option model with a new pricing kernel allowing for a variance premium. While the pricing kernel is monotonic in the stock return and in variance, its projection onto the stock return is nonmonotonic. A negative variance premium makes it U shaped. We present new semiparametric...

This paper shows how one can obtain a continuous-time preference-free option pricing model with a path-dependent volatility as the limit of a discrete-time GARCH model. In particular, the continuous-time model is the limit of a discrete-time GARCH model of Heston and Nandi (1997) that allows...