Effectiveness of Measures of Performance During Speculative Bubbles
Statistical Finance
2009-11-13 v1 Data Analysis, Statistics and Probability
Physics and Society
Abstract
Statistical analysis of financial data most focused on testing the validity of Brownian motion (Bm). Analysis performed on several time series have shown deviation from the Bm hypothesis, that is at the base of the evaluation of many financial derivatives. We inquiry in the behavior of measures of performance based on maximum drawdown movements (MDD), testing their stability when the underlying process deviates from the Bm hypothesis. In particular we consider the fractional Brownian motion (fBm), and fluctuations estimated empirically on raw market data. The case study of the rising part of speculative bubbles is reported.
Keywords
Cite
@article{arxiv.0709.2423,
title = {Effectiveness of Measures of Performance During Speculative Bubbles},
author = {Filippo Petroni and Giulia Rotundo},
journal= {arXiv preprint arXiv:0709.2423},
year = {2009}
}