Research PaperNo Access

Regularities in stock markets

Abhin Kakkad

Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar 382007, Gujarat, India

E-mail Address: abhinkakkad@gmail.com

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Harsh Vasoya

Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar 382007, Gujarat, India

E-mail Address: harshvasoya008@gmail.com

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Arnab K. Ray

Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar 382007, Gujarat, India

E-mail Address: arnab_kumar@daiict.ac.in

Corresponding author.

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https://doi.org/10.1142/S0129183120501454Cited by:2 (Source: Crossref)

Abstract

From the stock markets of six countries with high GDP, we study the stock indices, S&P 500 (NYSE, USA), SSE Composite (SSE, China), Nikkei (TSE, Japan), DAX (FSE, Germany), FTSE 100 (LSE, Britain) and NIFTY (NSE, India). The daily mean growth of the stock values is exponential. The daily price fluctuations about the mean growth are Gaussian, but with a nonzero asymptotic convergence. The growth of the monthly average of stock values is statistically self-similar to their daily growth. The monthly fluctuations of the price follow a Wiener process, with a decline of the volatility. The mean growth of the daily volume of trade is exponential. These observations are globally applicable and underline regularities across global stock markets.

Keywords:

PACS: 89.65.Gh, 05.40.Jc, 05.40.Fb, 05.45.Tp

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References

1. L. Bachelier, Ph.D. thesis, school University of Paris (1900). Google Scholar
2. R. N. Mantegna and H. E. Stanley, An Introduction to Econophysics (Cambridge University Press, address Cambridge, 2000). Google Scholar
3. S. Sinha, A. Chatterjee, A. Chakraborti and B. K. Chakrabarti, Econophysics (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2011). Google Scholar
4. R. K. Pan and S. Sinha, Phys. A 387, 2055 (2008). Crossref, Web of Science, ADS, Google Scholar
5. S&P 500 (NYSE), https://in.investing.com/indices/us-spx-500. Google Scholar
6. SSE Composite (SSE), https://in.investing.com/indices/shanghai-composite. Google Scholar
7. Nikkei (TSE), https://in.investing.com/indices/japan-ni225. Google Scholar
8. DAX (FSE), https://in.investing.com/indices/xetra-dax-price. Google Scholar
9. FTSE (LSE), https://in.investing.com/indices/uk-100. Google Scholar
10. NIFTY (NSE), https://in.investing.com/indices/s-p-cnx-nifty-historical-data. Google Scholar
11. P. Gopikrishnan, V. Plerou, L. A. N. Amaral, M. Meyer and H. E. Stanley, Phys. Rev. E 60, 5305 (1999). Crossref, Web of Science, ADS, Google Scholar
12. V. Plerou, P. Gopikrishnan, L. A. N. Amaral, M. Meyer and H. E. Stanley, Phys. Rev. E 60, 6519 (1999). Crossref, Web of Science, ADS, Google Scholar
13. J. C. Hull, Options, Futures and Other Derivatives (Pearson Prentice Hall, New Delhi, year, 2006). Google Scholar
14. R. N. Mantegna and H. E. Stanley, Nature 376, 46 (1995). Crossref, Web of Science, ADS, Google Scholar
15. P. Gopikrishnan, M. Meyer, L. A. N. Amaral and H. E. Stanley, Eur. Phys. J. B 3, 139 (1998). Crossref, Web of Science, ADS, Google Scholar
16. R. Nair, G. Nagarjuna and A. K. Ray, J. Phys.: Conf. Ser. 365, 012058 (2012). Crossref, Google Scholar
17. R. Nair, G. Nagarjuna and A. K. Ray, Compl. Syst. 23, 71 (2014). Crossref, ADS, Google Scholar
18. K. Matia, M. Pal, H. Salunkay and H. E. Stanley, Europhys. Lett. 66, 909 (2004). Crossref, ADS, Google Scholar
19. S. Sinha and R. K. Pan, in Econophysics of Stock and Other Markets, eds. A. Chatterjee and B. K. Chakrabarti (Springer, Milan, 2006). Google Scholar
20. R. K. Pan and S. Sinha, Phys. Rev. E 76, 046116 (2007). Crossref, Web of Science, ADS, Google Scholar
21. S. M. D. Queirós, Europhys. Lett. 71, 339 (2005). Crossref, ADS, Google Scholar
22. S. M. D. Queirós, Chaos, Solitons Fractals 88, 24 (2016). Crossref, Web of Science, ADS, Google Scholar