In this paper we propose a Lagrange multiplier test for volatility interactions among markets or assets. The null hypothesis is the Constant Conditional Correlation GARCH model in which volatility of an asset is described only through lagged squared innovations and volatility of its own. The...

In this article, we derive a set of necessary and sufficient conditions for positivity of the vector conditional variance equation in multivariate GARCH models with explicit modelling of conditional correlation. These models include the constant conditional correlation GARCH model of Bollerslev...

In this paper we propose a Lagrange multiplier test for volatility interactions among markets or assets. The null hypothesis is the Constant Conditional Correlation GARCH model in which volatility of an asset is described only through lagged squared innovations and volatility of its own. The...

In this article, we derive a set of necessary and sufficient conditions for positivity of the vector conditional variance equation in multivariate GARCH models with explicit modelling of conditional correlation. These models include the constant conditional correlation GARCH model of Bollerslev...

Weather derivatives are financial instrument that allow to hedge weather risk that is the financial gain or loss due to variability in climatic conditions. The market originated in 1998 when the US power community realised that the high volatility of revenues due to weather variability could be...

Hitherto, index volatility has been modelled using the history of index returns but not the returns histories of the stocks that define the index. Theoretical models that relate volatility to the quantity of information are extended to a multi-asset setting and it is deduced that stock returns...

In this paper we present compelling evidence from a detailed analysis of historical prepayment data to demonstrate that a mortgage cohort remembers the level of the previous mortgage rate troughs experienced by the cohort. This is a general property, observed ubiquitously, that inescapably leads...

When the log-price process incorporates a jump component, realised variance will no longer estimate the integrated variance since its probability limit will be determined by the continuous and jump components. Instead realised bipower variation, tripower variation and quadpower variation are...

The asymptotic theories used to estimate the integrated variance using realised variance or multipower variation suggest that returns should be sampled at the highest possible frequency. This leads to a bias problem due to market microstructure effects that can completely invalidate the theory....

When high-frequency data is available, in the context of a stochastic volatility model, realised absolute variation can estimate integrated spot volatility. A central limit theory enables us to do filtering and smoothing using model-based and model-free approaches in order to improve the...