We derive two risk adjusted performance measures for investors with risk averse preferences. Maximizing these measures is equivalent to maximizing the expected utility of an investor. The first measure, X(eff), is derivedassuming a constant risk aversion while the second measure, R(eff),is based...

In this paper we present both a new formulation of the HARCH process and a study of the forecasting accuracy of ARCH-type models for predicting short-term volatility. Using high frequency data, the market volatility is expressed in terms of partial volatilities which are formally exponential...

We perform a tail index estimation of financial asset returns in two markets: the foreign exchange market and the interbank market of cash interest rates. Thanks to the high-frequency of the data, we obtain good estimates of the tail indices and we are able to analyze their stability with time...

In this paper we present both a new formulation of the HARCH process and a study of the forecasting accuracy of ARCH-type models for predicting short-term volatility. Using high frequency data, the market volatility is expressed in terms of partial volatilities which are formally exponential...

The heterogeneous market states that the diversity of actors causes different behaviors of volatilities of different time resolutions. A lagged correlation study reveals that statistical volatility defined over a coarse time grid significantly predicts volatility defined over a fine grid. This...

The foreign exchange (FX) market is worldwide, but the dealers differ in their geographical locations (time zones), working hours, time horizons, home currencies, access to information, transaction costs, and other institutional constraints The variety of time horizons is large: from intra-day...

In this paper, we show that intra-daily foreign exchange rate returns exhibit even stronger nonlinearities than daily or weekly returns. These nonlinearities result from the intra-daily seasonality and the presence of market participants with different time-horizons. Moreover, we present some...

In this paper, we show that the use of an alternative time scale can eliminate the inefficiencies in the estimation of a GARCH model caused by intra-daily seasonal patterns. Even so, however, the temporal aggregation properties of the GARCH model do not hold at the intra-daily frequencies,...

This study is based on an exceptionally large and automatically filtered data set containing most of the quoted prices on Reuters over 7 years. We employ semi-parametric extremal analysis. A bias reduction is attained by bootstrapping on resamples. The empirical results demonstrate the existence...

This paper presents stylized facts concerning the spot intra-daily foreign exchange markets. It first describes intra-daily data and proposes a set of definitions for the quantities of interest. Empirical regularities of the foreign exchange intra-daily data are then grouped under three major...