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Measuring stock market resiliency with Discrete Fourier Transform for high frequency data

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  • Olbrys, Joanna
  • Mursztyn, Michal
Abstract
In this paper, we investigate market resiliency as one of the stock market liquidity dimensions. A new methodology for stock resiliency measurement based on Discrete Fourier Transform (DFT) for high-frequency intraday data is introduced. The known disadvantage of DFT is signal leakage. Therefore, the modified formula for resiliency proxy that decreases the signal leakage impact by filtering is utilized. Three alternative window functions are employed: (1) the Hamming window, (2) the Kaiser window, and (3) the SR785 Flat-Top window. Furthermore, there is provided statistical analysis of the results, including its significance and some additional properties. The findings of empirical experiments for real-data from the Warsaw Stock Exchange reveal that the results rather turn out to be robust to the choice of the window filter. Thus, the DFT approach might be considered an auspicious resiliency proxy with an intuitive base.

Suggested Citation

  • Olbrys, Joanna & Mursztyn, Michal, 2019. "Measuring stock market resiliency with Discrete Fourier Transform for high frequency data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 248-256.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:248-256
    DOI: 10.1016/j.physa.2018.09.028
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    1. Olbrys, Joanna & Mursztyn, Michal, 2019. "Estimation of intraday stock market resiliency: Short-Time Fourier Transform approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Tang, Chun & Liu, Xiaoxing & Zhou, Donghai, 2022. "Financial market resilience and financial development: A global perspective," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 80(C).
    3. Isao Yagi & Yuji Masuda & Takanobu Mizuta, 2020. "Analysis of the Impact of High-Frequency Trading on Artificial Market Liquidity," Papers 2010.13038, arXiv.org.

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