Heavy tails and volatility clusters are both stylized facts of financial returns that destabilize markets. The former … diversification, and how an acknowledgment of volatility clustering can enhance the quality of risk models. The analysis is carried … risk historically received more attention, especially in financial regulation, our analysis shows that volatility clusters …

degree of volatility risk in stock and index returns, where we characterize volatility risk by the extent to which … forecasting errors in realized volatility are substantive. Even though returns standardized by ex post quadratic variation … distribution of returns. Explicitly modeling this volatility risk is fundamental. We propose a dually asymmetric realized …