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A multiscale view on inverse statistics and gain/loss asymmetry in financial time series

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  • Johannes Vitalis Siven
  • Jeffrey Todd Lins
  • Jonas Lundbek Hansen

Abstract

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The same is not observed for the index constituents, the individual stocks. We use the discrete wavelet transform to illustrate that this is a long rather than short time scale phenomenon -- if enough low frequency content of the price process is removed, the asymmetry disappears. We also propose a new model, which explain the asymmetry by prolonged, correlated down movements of individual stocks.

Suggested Citation

  • Johannes Vitalis Siven & Jeffrey Todd Lins & Jonas Lundbek Hansen, 2008. "A multiscale view on inverse statistics and gain/loss asymmetry in financial time series," Papers 0811.3122, arXiv.org.
    • Handle: RePEc:arx:papers:0811.3122
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    References listed on IDEAS

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    1. Raul Donangelo & Mogens H. Jensen & Ingve Simonsen & Kim Sneppen, 2006. "Synchronization Model for Stock Market Asymmetry," Papers physics/0604137, arXiv.org, revised Aug 2006.
    2. A. Johansen & I. Simonsen & M. H. Jensen, 2005. "Inverse Statistics for Stocks and Markets," Papers physics/0511091, arXiv.org.
    3. Ingve Simonsen & Mogens H. Jensen & Anders Johansen, 2002. "Optimal Investment Horizons," Papers cond-mat/0202352, arXiv.org.
    4. Gençay, Ramazan & Dacorogna, Michel & Muller, Ulrich A. & Pictet, Olivier & Olsen, Richard, 2001. "An Introduction to High-Frequency Finance," Elsevier Monographs, Elsevier, edition 1, number 9780122796715.
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    Cited by:

    1. Johannes Vitalis Siven & Jeffrey Todd Lins, 2009. "Temporal structure and gain/loss asymmetry for real and artificial stock indices," Papers 0907.0554, arXiv.org.
    2. Andrea Giuseppe Di Iura & Giulia Terenzi, 2021. "A Bayesian analysis of gain-loss asymmetry," Papers 2104.06044, arXiv.org.

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