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Discovering stock dynamics through multidimensional volatility phases

Author

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  • Hsieh Fushing
  • Shu-Chun Chen
  • Chii-Ruey Hwang

Abstract

To investigate stock dynamics, we consider volatility as a temporal aggregation of semi-extreme events defined on three dimensions: return, volume and trading number. Onset and offset phases of volatility are computed by means of the hierarchical factor segmentation (HFS) algorithm based on high-frequency data. Through these computed volatility phases we search for dynamic patterns by resolving two questions: Is a return's volatility closely associated with significant price changes?, and can we derive an early prediction of the sign of the price change at the offset? Can volatility phases reveal which dimension—return, volume or trading number—is the driving force behind the others? Some computed new features of stock dynamics are counter-intuitive. Almost all significant price changes are marked by volatility within the three dimensions. We develop a data-driven potential-based model to make early predictions of the sign of significant price differences at the end of a volatile period. This model recognizes that when a stock's dynamic enters a volatility state, it typically settles into a subtle imbalance of oscillations between positive and negative returns, and leads to a significant price difference at the offset of volatility. We develop a new statistical analysis to show that a return's volatility onset is more likely to fall behind the onsets of volume and trading number, while the latter two dimensions are very well-correlated with each other. By incorporating this result with behavioral evidence extracted from scatterplots of the logarithm of volume versus the trading number, we postulate that stock dynamics are chiefly driven by a large group of participants, whose collective large-volume trading action is potentially responsible for stimulating volatility in both return and trading number.

Suggested Citation

  • Hsieh Fushing & Shu-Chun Chen & Chii-Ruey Hwang, 2012. "Discovering stock dynamics through multidimensional volatility phases," Quantitative Finance, Taylor & Francis Journals, vol. 12(2), pages 213-230, September.
    • Handle: RePEc:taf:quantf:v:12:y:2012:i:2:p:213-230
    DOI: 10.1080/14697681003743040
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    References listed on IDEAS

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    1. Gilles Zumbach, 2004. "How trading activity scales with company size in the FTSE 100," Quantitative Finance, Taylor & Francis Journals, vol. 4(4), pages 441-456.
    2. Tauchen, George E & Pitts, Mark, 1983. "The Price Variability-Volume Relationship on Speculative Markets," Econometrica, Econometric Society, vol. 51(2), pages 485-505, March.
    3. Gilles Zumbach, 2004. "How the trading activity scales with the company sizes in the FTSE 100," Papers cond-mat/0407769, arXiv.org.
    4. Karpoff, Jonathan M., 1987. "The Relation between Price Changes and Trading Volume: A Survey," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(1), pages 109-126, March.
    5. Welch, Ivo, 1992. "Sequential Sales, Learning, and Cascades," Journal of Finance, American Finance Association, vol. 47(2), pages 695-732, June.
    6. Oomen, Roel C.A., 2006. "Properties of Realized Variance Under Alternative Sampling Schemes," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 219-237, April.
    7. Lamoureux, Christopher G & Lastrapes, William D, 1990. "Heteroskedasticity in Stock Return Data: Volume versus GARCH Effects," Journal of Finance, American Finance Association, vol. 45(1), pages 221-229, March.
    8. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    9. Lamoureux, Christopher G & Lastrapes, William D, 1994. "Endogenous Trading Volume and Momentum in Stock-Return Volatility," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 253-260, April.
    10. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    11. Jim Griffin & Roel Oomen, 2008. "Sampling Returns for Realized Variance Calculations: Tick Time or Transaction Time?," Econometric Reviews, Taylor & Francis Journals, vol. 27(1-3), pages 230-253.
    12. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1992. "Stock Prices and Volume," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 199-242.
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    Cited by:

    1. Shu-Chun Chen & Hsieh Fushing & Chii-Ruey Hwang, 2013. "Discovering focal regions of slightly-aggregated sparse signals," Computational Statistics, Springer, vol. 28(5), pages 2295-2308, October.
    2. Chaudhuri, Kausik & Sen, Rituparna & Tan, Zheng, 2018. "Testing extreme dependence in financial time series," Economic Modelling, Elsevier, vol. 73(C), pages 378-394.
    3. Chang, Lo-Bin & Geman, Stuart, 2013. "Empirical scaling laws and the aggregation of non-stationary data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5046-5052.
    4. Xiaodong Wang & Fushing Hsieh, 2021. "Unraveling S&P500 stock volatility and networks -- An encoding-and-decoding approach," Papers 2101.09395, arXiv.org, revised Oct 2021.
    5. Zeenat Jamal Ansari & Seema Gupta & Meena Bhatia, 2024. "Mapping the Conceptual and Intellectual Structure of the Investor’s Financial Behaviour: A Bibliometric Analysis," South Asian Journal of Business and Management Cases, , vol. 13(2), pages 228-258, August.
    6. Hsieh Fushing & Shu-Chun Chen & Chii-Ruey Hwang, 2014. "Single Stock Dynamics on High-Frequency Data: From a Compressed Coding Perspective," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-12, February.

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