In this thesis we propose a risk management methodology to high-dimensional financial portfolios. Instead of estimating the joint density of the portfolios in a high-dimensional space, we are encouraged by using the independent component analysis (ICA) to decompose the dependent risk factors to...

Levy processes have gained great success in pricing single asset options. In this thesis, we introduce a methodology enabling us to extend the single asset pricing technique based on Levyprocesses to multiasset cases.In our method, we assume the log-return of each asset as a linear sum of...

This study aims to investigate whether the phenomena found by Shnoll et al. when applying histogrampattern analysis techniques to stochastic processes from chemistry and physics are also present infinancial time series, particularly exchange rate and index data. The phenomena are related to...

VAR models are increasingly being used in the analysis of relationships between financial markets. In such models, there are circumstances that require zero entries in the coefficient matrices. Such circumstances can be particularly relevant in the context of emerging markets given their...

We study model selection strategies based on penalized empirical loss minimization. We point out a tight relationship between error estimation and data-based complexity penalization: any good error estimate may be converted into a data-based penalty function and the performance of the estimate...

Purpose – The purpose of this paper is to perform a comparative study of prediction performances of an artificial neutral network (ANN) model against a linear prediction model like a linear discriminant analysis (LDA) with regards to forecasting corporate credit ratings from financial...

Tech Report

The huge popularity of Hidden Markov models in pattern recognition is due to the ability to 'learn' model parameters from an observation sequence through Baum-Welch and other re-estimation procedures. In the case of HMM parameter estimation from an ensemble of observation sequences, rather than...