Two distinct and non-redundant understandings of volatility, as deviation from consistency, exist for a time-series: (1) exhibiting high standard deviation and, closer to the dictionary definition of the term, (2) appearing highly irregular and unpredictable. We find that Bitcoin is a prime...

Volatility modelling is a key issue for the finance industry from an academic and practitioner perspective. This is understandable given the importance that volatility plays in risk management and the development of accurate risk measures in a univariate or multivariate framework. To illustrate,...

We use bivariate ARCH specifications to model the conditional mean and stock price volatilityfor 56 takeover bids from January 1985 and July 1994. Using daily data from one year prior to thetakeover announcement until the conclusion of the bid, we allow for two-way interaction in bothmoments...

Measuring and modeling financial volatility is the key to derivative pricing, asset allocation and risk management.The recent availability of high-frequency data allows for refined methods in this field.In particular, more precise measures for the daily or lower frequency volatility can be...