Author
Listed:
- SALIM LAHMIRI
(Department of Supply Chain and Business, Technology Management, John Molson School of Business, Concordia University, Montreal, Canada2Chaire Innovation et Économie Numérique, ESCA École de Management, Casablanca, Morocco)
- AHMET SENSOY
(Faculty of Business Administration, Bilkent University, Ankara, Turkey4Adnan Kassar School of Business, Lebanese American University, Beirut, Lebanon)
- ERDINC AKYILDIRIM
(School of Management, University of Bradford, Bradford, United Kingdom, Department of Management, Bogazici University, Istanbul, Turkey)
- STELIOS BEKIROS
(FEMA, University of Malta, MSD 2080 Msida, Malta, LSE Health, London School of Economics and Political Science (LSE), London WC2A2AE, UK)
Abstract
The price and return time series are two distinct features of any financial asset. Hence, examining the evolution of multiscale characteristics of price and returns sequential data in time domain would be helpful in gaining a better understanding of the dynamical evolution mechanism of the financial asset as a complex system. In fact, this is important to understand their respective dynamics and to design their appropriate predictive models. The main purpose of the current work is to investigate the multiscale fractals of price and return high frequency data in Turkish stock market. In this regard, the wavelet leaders computational method is applied to each high frequency data to reveal its multi-fractal behavior. In particular, the method is applied to a large set of Turkish stocks and statistical results are performed to check for (i) presence of multi-fractals in price and return series and (ii) differences between prices and returns in terms of multi-fractals. Our statistical results show strong evidence that high frequency price and return data exhibit multi-fractal dynamics. In addition, they show evidence of distinct fractal characteristics on different scales between price and return series. Furthermore, our statistical results show evidence of differences in local fluctuation characteristics of price and return time series. Therefore, differences in local characteristics are useful to build specific predictive models for each type of data for better modeling and prediction to generate profits. Besides, we found evidence that both long-range correlations and fat-tail distributions contribute to the multifractality in Turkish stocks. This finding can be attributed to the major role played by international investors in increasing the volatility of Turkish stocks.
Suggested Citation
Salim Lahmiri & Ahmet Sensoy & Erdinc Akyildirim & Stelios Bekiros, 2024.
"Statistical Analysis By Wavelet Leaders Reveals Differences In Multi-Fractal Characteristics Of Stock Price And Return Series In Turkish High Frequency Data,"
FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-10.
Handle:
RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500026
DOI: 10.1142/S0218348X24500026
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