Do financial markets properly reflect leverage? Unlike Gomes and Schmid (2010) who examine this question with a …

volatility over the next month, but with decreasing realized volatility. These predictability patterns are consistent with …

This paper compares several statistical models for monthly stock return volatility. The focus is on U.S. data from 1834 … volatility that are inconsistent with stationary models for conditional heteroskedasticity, We show the importance of … of stock volatility, even over the 1834-1925 period …

We develop and implement a new method for maximum likelihood estimation in closed-form of stochastic volatility models … unobservable volatility state, to an approximate likelihood procedure where the volatility state is replaced by the implied … volatility of a short dated at-the-money option. We find that the approximation results in a negligible loss of accuracy. We …

This paper extends the class of stochastic volatility diffusions for asset returns to encompass Poisson jumps of time … as well as stochastic volatility with a pronounced negative relationship between return and volatility innovations. We …

findings have implications for market-wide volatility - the model-implied correlations alone can explain 44% of the cross …-section of aggregate volatility. The results are robust to controlling for a number of alternative factors put forth by the …