order belief", on asset price volatility. The paper shows that heterogeneous expectations induce higher order beliefs and … that heterogeneous expectation asset pricing models thoretically generate more volatility than rational expectation models … results shows that a model with higher order beliefs generates a level of volatility in line with the price volatility …

new explanation of the smile pattern of implied volatility related to the lack of market liquidity. Finally we present …

constant volatility. In this paper, we examine the best performing parametric models against nonparametric alternatives. In … particular, we study the stochastic volatility (SV) and stochastic volatility randomjump (SVJ) models as parametric benchmarks …

volatility across di.erent time scales. We call this property asymmetric vertical dependence. It is asymmetric in the sense that … a low volatility state (regime) at a long time horizon is most likely followed by low volatility states at shorter time … horizons. On the other hand, a high volatility state at long time horizons does not necessarily imply a high volatility state …