The paper undertakes a non-parametric analysis of the very high frequency movements in stock market volatility using very finely sampled data on the Samp;P VIX index compiled by the CBOE. The data suggest that stock market volatility is best described as a pure jump process without a continuous...

We develop a portfolio risk model that uses high-frequency data to forecast the loss surface, which is the set of loss distributions at future time horizons. Our model uses a fully automated, semi-parametric fitting procedure that has its basis in extreme value statistics. We take account of...

Time reversal invariance can be sumarised as follows: no difference can be measured if a sequence of events is run forward or backward in time. Because price time series are dominated by a randomness that hides possible structures and orders, the existence of time reversal invariance requires...

Motivated by the implications from a stylized self-contained general equilibrium model incorporating the effects of time-varying economic uncertainty, we show that the difference between implied and realized variation, or the variance risk premium, is able to explain a non-trivial fraction of...

This study develops the Regime Dependent Generalized Auto Regressive Conditional Heteroskedasticity (RD-GARCH) model and applies it to a daily index of returns on U.S. equities covering the period 1926 to 2000. The RD-GARCH model is different from previous models from the ARCH family in that it...

This paper identifies Multifractal Models of Asset Returns (MMARs) for each of the eight nodal term structure series of monthly Japanese Treasury rates and, after proper synthesis, simulates those MMARs. All nodal rate series are found to be slightly anti-persistent, with the exception of the...

The paper documents the specification and estimation of an econometric model of the Brazilian stock market (Bovespa) using a GARCH(1,1) model. We used quarterly data for an estimation period spanning from January 1995 to December 2003. The empirical results show that GDP growth, exchange-rate...

Some recent specifications for GARCH error processes explicitly assume a conditional variance that is generated by a mixture of normal components, albeit with some parameter restrictions. This paper analyses the general normal mixture GARCH(1,1) model which can capture time-variation in both...

We present a generalization of the two sample t-test for the equality of means to the case where the sample values have unequal weights. This is a natural situation in financial risk modelling where some samples are considered more reliable than others in predicting a common mean. We describe...

In this paper we propose a model selection strategy for a univariate periodic autoregressive time series which involves tests for one or more unit roots and for parameter restrictions corresponding to seasonal unit roots and multiple unit roots at the zero frequency. Examples of models that are...