Effectiveness of Measures of Performance During Speculative Bubbles

Details Effectiveness of Measures of Performance During Speculative Bubbles Effectiveness of Measures of Performance During Speculative Bubbles

2007-09-15

arxiv.org/abs/0709.2423v1

Economy

Quantitative Finance

Statistical Finance

Scientific paper

10.1016/j.physa.2008.02.070

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.

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