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Volatility in the Italian Stock Market: an Empirical Study

Author

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  • Marco Raberto

    (Universita` di Genova, Italy)

  • Enrico Scalas

    (Universita` del Piemonte Orientale, Italy)

  • Gianaurelio Cuniberti

    (Max-Planck-Institut fuer Physik komplexer Systeme, Germany)

  • Massimo Riani

    (Universita` di Genova, Italy)

Abstract

We study the volatility of the MIB30-stock-index high-frequency data from November 28, 1994 through September 15, 1995. Our aim is to empirically characterize the volatility random walk in the framework of continuous-time finance. To this end, we compute the index volatility by means of the log-return standard deviation. We choose an hourly time window in order to investigate intraday properties of volatility. A periodic component is found for the hourly time window, in agreement with previous observations. Fluctuations are studied by means of detrended fluctuation analysis, and we detect long-range correlations. Volatility values are log-stable distributed. We discuss the implications of these results for stochastic volatility modelling.

Suggested Citation

  • Marco Raberto & Enrico Scalas & Gianaurelio Cuniberti & Massimo Riani, 1999. "Volatility in the Italian Stock Market: an Empirical Study," Papers cond-mat/9903221, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/9903221
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    Cited by:

    1. Lemmens, D. & Liang, L.Z.J. & Tempere, J. & De Schepper, A., 2010. "Pricing bounds for discrete arithmetic Asian options under Lévy models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5193-5207.
    2. Cincotti, Silvano & M. Focardi, Sergio & Marchesi, Michele & Raberto, Marco, 2003. "Who wins? Study of long-run trader survival in an artificial stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 227-233.
    3. Choi, Sun-Yong, 2020. "Industry volatility and economic uncertainty due to the COVID-19 pandemic: Evidence from wavelet coherence analysis," Finance Research Letters, Elsevier, vol. 37(C).
    4. Raberto, Marco & Teglio, Andrea & Cincotti, Silvano, 2006. "A general equilibrium model of a production economy with asset markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 75-80.
    5. Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2004. "Anomalous waiting times in high-frequency financial data," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 695-702.
    6. Zhuang, Xin-tian & Huang, Xiao-yuan & Sha, Yan-li, 2004. "Research on the fractal structure in the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 293-305.

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