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Apparent multifractality in financial time series

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Author Info
Jean-Philippe Bouchaud (Science & Finance, Capital Fund Management)
Marc Potters
Martin Meyer (Science & Finance, Capital Fund Management)
Abstract

We present a exactly soluble model for financial time series that mimics the long range volatility correlations known to be present in financial data. Although our model is `monofractal' by construction, it shows apparent multiscaling as a result of a slow crossover phenomenon on finite time scales. Our results suggest that it might be hard to distinguish apparent and true multifractal behavior in financial data. Our model also leads to a new family of stable laws for sums of correlated random variables.

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Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 9906347.

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Date of creation: Jun 1999
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Publication status: published in European Physical Journal B, vol. 13, pp. 595-599 (2000)
Handle: RePEc:sfi:sfiwpa:9906347

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Find related papers by JEL classification:
G1 - Financial Economics - - General Financial Markets
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies

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  1. J. Doyne Farmer, 1999. "Physicists Attempt to Scale the Ivory Towers of Finance," Working Papers 99-10-073, Santa Fe Institute.
  2. Lisa Borland & Jean-Philippe Bouchaud & Jean-Francois Muzy & Gilles Zumbach, 2005. "The Dynamics of Financial Markets -- Mandelbrot's multifractal cascades, and beyond," Science & Finance (CFM) working paper archive 500061, Science & Finance, Capital Fund Management. [Downloadable!]
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