One of the major points of contention in studying and modeling financial returns is whether or not the variance of the returns is finite or infinite (sometimes referred to as the Bachelier-Samuelson Gaussian world versus the Mandelbrot stable world). A different formulation of the question asks...

Financial Risk Forecasting is a complete introduction to practical quantitative risk management, with a focus on market risk. Derived from the authors teaching notes and years spent training practitioners in risk management techniques, it brings together the three key disciplines of finance,...

We analyze the cross-sectional differences in the tail risk of equity returns and identify the drivers of tail risk. We provide two statistical procedures to test the hypothesis of cross-sectional downside tail shape homogeneity. An empirical study of 230 US non-financial firms shows that...

This paper investigates how the downside tail risk of stock returns is differentiated cross-sectionally. Stock returns follow heavy-tailed distributions with downside tail risk determined by the tail shape and scale. If safety-first investors are concerned with sufficiently large downside...