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Cognitive Systems with Interactive Sensors (COGIS'09), PARIS : France (2009)
Systematic risk analysis: first steps towards a new definition of beta
Michel Fliess 1, 2, Cédric Join 2, 3
(2009)

We suggest a new model-free definition of the beta coefficient, which plays an important rôle in systematic risk management. This setting, which is based on the existence of trends for financial time series via nonstandard analysis (Fliess M., Join C.: A mathematical proof of the existence of trends in financial time series, Proc. Int. Conf. Systems Theory: Modelling, Analysis and Control, Fes, 2009, online: http://hal.inria.fr/inria-00352834/en/) leads to convincing computer experiments which are easily implementable.
1:  Laboratoire d'informatique de l'école polytechnique (LIX)
CNRS : UMR7161 – Polytechnique - X
2:  ALIEN (INRIA Saclay - Ile de France/Inria Lille - Nord Europe)
INRIA – Polytechnique - X – Ecole Centrale de Lille – CNRS : UMR8146
3:  Centre de recherche en automatique de Nancy (CRAN)
CNRS : UMR7039 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL)
Quantitative Finance/Computational Finance

Quantitative Finance/Portfolio Management

Quantitative Finance/Risk Management

Mathematics/Probability

Mathematics/Statistics

Statistics/Statistics Theory

Mathematics/Logic

Computer Science/Computational Engineering, Finance, and Science

Computer Science/Modeling and Simulation

Computer Science/Automatic Control Engineering

Computer Science/Signal and Image Processing

Engineering Sciences/Signal and Image processing
Quantitative finance – risk analysis – beta – alpha – trends – technical analysis – estimation techniques – forecasting – abrupt changes – nonstandard analysis.
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