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Extreme Risk and Fractal Regularity in Finance

As the Great Financial Crisis reminds us, extreme movements in the level and volatility of asset prices are key features of financial markets. These phenomena are difficult to quantify using traditional models that specify extreme risk as a rare event. Multifractal analysis, whose use in finance has...

On the Continuous Limit of GARCH

GARCH processes constitute the major area of time series variance analysis, hence the limit of these processes is of considerable interest for continuous time volatility modelling. The continuous time limit of the GARCH(1,1) model is fundamental for limits of other GARCH processes, yet it has been t...

Automated Trading with Genetic-Algorithm Neural-Network Risk Cybernetics: An Application on FX Markets

Recent years have witnessed the advancement of automated algorithmic trading systems as institutional solutions in the form of autobots, black box or expert advisors. However, little research has been done in this area with sufficient evidence to show the efficiency of these systems. This paper buil...

Time-Localized Wavelet Multiple Regression and Correlation: Eurozone Stock Markets Across Scales and Time

This paper extends wavelet methodology to handle comovement dynamics of multivariate time series via moving weighted regression on wavelet coefficients. The concept of wavelet local multiple correlation is used to produce one single set of multiscale correlations along time, in contrast with the lar...

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