Equity index implied volatility functions are known to be excessively skewed in comparison with implied volatility at … index implied volatility from simulating the 30 dimensional return system of all DAX constituents. Option prices are …-dependence coupled with asymmetric correlation response to negative news is essential to explain the index implied volatility skew …

index returns. The proposed models capture key stylized facts of such returns, namely heavy tails, asymmetry, volatility … asymmetric. Volatility is modeled parametrically. The new model is applied to the daily returns of the S\&P 500, FTSE 100, and … EUROSTOXX 50 indices and is compared to GARCH, Stochastic Volatility, and other Bayesian semi-parametric models …

This working paper presents the general theory of the higher order "skew lognormal cascade distribution" as a … is studied in details, which incorporates the fat tails into the volatility (aka the volatility of volatility). We show … market index, and the market entropy of the stock market. Such study in the context of stochastic portfolio theory reveals …

forecasting of daily and lower frequency volatility and return distributions. Most procedures for modeling and forecasting … ARCH or stochastic volatility models, which often perform poorly at intraday frequencies. Use of realized volatility … and forecasting. Building on the theory of continuous-time arbitrage-free price processes and the theory of quadratic …

This article explores the role of the realized return distribution in the formation of the observed implied volatility … distribution in the formation of the implied volatility smile …

We exploit direct model-free measures of daily equity return volatility and correlation obtained from high …, solidify and extend existing characterizations of stock return volatility and correlation. We find that the unconditional … portfolio diversification when the market is most volatile. Our findings are broadly consistent with a latent volatility fact or …