We perform a large simulation study to examine the extent to which various generalized autoregressive conditional heteroskedasticity (GARCH) models capture extreme events in stock market returns. We estimate Hill's tail indexes for individual S&P 500 stock market returns ranging from 1995-2014...

We argue against the view that it is mostly the peaks of the empirical densities of stock returns (and of other risky returns as well) that set such data aside from ‘normal’ variables. We show that peaks depend on sample size and on the way returns are standardized, and that for given data...

This paper presents some properties and limitations of the Tukey's g and h family of distributions. It develops the density function when the parameters g and h are not constant, which is a major breakthrough considering the recurrence of this in the applications of the behaviour of...

Sudden jumps in the stock market have a significant impact on consumers’ wealth. A market crash, in particular, can devastate lives and destabilize the entire economy. Therefore, it would be desirable if consumers, policy makers, and financial intermediaries could better anticipate such...