# Uncovering the Internal Structure of the Indian Financial Market: Cross-correlation behavior in the NSE

## Author Info

• Sitabhra Sinha
• Raj Kumar Pan

## Abstract

The cross-correlations between price fluctuations of 201 frequently traded stocks in the National Stock Exchange (NSE) of India are analyzed in this paper. We use daily closing prices for the period 1996-2006, which coincides with the period of rapid transformation of the market following liberalization. The eigenvalue distribution of the cross-correlation matrix, $\mathbf{C}$, of NSE is found to be similar to that of developed markets, such as the New York Stock Exchange (NYSE): the majority of eigenvalues fall within the bounds expected for a random matrix constructed from mutually uncorrelated time series. Of the few largest eigenvalues that deviate from the bulk, the largest is identified with market-wide movements. The intermediate eigenvalues that occur between the largest and the bulk have been associated in NYSE with specific business sectors with strong intra-group interactions. However, in the Indian market, these deviating eigenvalues are comparatively very few and lie much closer to the bulk. We propose that this is because of the relative lack of distinct sector identity in the market, with the movement of stocks dominantly influenced by the overall market trend. This is shown by explicit construction of the interaction network in the market, first by generating the minimum spanning tree from the unfiltered correlation matrix, and later, using an improved method of generating the graph after filtering out the market mode and random effects from the data. Both methods show, compared to developed markets, the relative absence of clusters of co-moving stocks that belong to the same business sector. This is consistent with the general belief that emerging markets tend to be more correlated than developed markets.

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File URL: http://arxiv.org/pdf/0704.2115

## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 0704.2115.

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Publication status: Published in Econophysics of Markets and Business Networks, (Springer, Milan, 2007) p. 3-19
Handle: RePEc:arx:papers:0704.2115

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Web page: http://arxiv.org/

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## References

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1. Sitabhra Sinha & Raj Kumar Pan, 2006. "The Power (Law) of Indian Markets: Analysing NSE and BSE trading statistics," Science & Finance (CFM) working paper archive physics/0605247, Science & Finance, Capital Fund Management.
2. Goetzmann, William N. & Rouwenhorst, K. Geert (ed.), 2005. "The Origins of Value: The Financial Innovations that Created Modern Capital Markets," OUP Catalogue, Oxford University Press, number 9780195175714.
3. Dong-Hee Kim & Hawoong Jeong, 2005. "Systematic analysis of group identification in stock markets," Science & Finance (CFM) working paper archive physics/0503076, Science & Finance, Capital Fund Management, revised Oct 2005.
4. R. Mantegna, 1999. "Hierarchical structure in financial markets," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 11(1), pages 193-197, September.
5. Laurent Laloux & Pierre Cizeau & Jean-Philippe Bouchaud & Marc Potters, 1998. "Noise dressing of financial correlation matrices," Science & Finance (CFM) working paper archive 500051, Science & Finance, Capital Fund Management.
6. Wilcox, Diane & Gebbie, Tim, 2004. "On the analysis of cross-correlations in South African market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 294-298.
7. V. Kulkarni & N. Deo, 2005. "Volatility of an Indian stock market : A random matrix approach," Science & Finance (CFM) working paper archive physics/0512169, Science & Finance, Capital Fund Management.
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## Citations

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Cited by:
1. Leonidas Sandoval Junior, 2011. "Cluster formation and evolution in networks of financial market indices," Science & Finance (CFM) working paper archive 1111.5069, Science & Finance, Capital Fund Management.
2. Leonidas Sandoval Junior, 2011. "A Map of the Brazilian Stock Market," Science & Finance (CFM) working paper archive 1107.4146, Science & Finance, Capital Fund Management, revised Mar 2013.
3. Sandoval, Leonidas, 2012. "Pruning a minimum spanning tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2678-2711.
4. Sandoval, Leonidas & Franca, Italo De Paula, 2012. "Correlation of financial markets in times of crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 187-208.
5. Leonidas Sandoval Junior & Italo De Paula Franca, 2011. "Correlation of financial markets in times of crisis," Science & Finance (CFM) working paper archive 1102.1339, Science & Finance, Capital Fund Management, revised Mar 2011.
6. Leonidas Sandoval Junior, 2012. "Survivability and centrality measures for networks of financial market indices," Science & Finance (CFM) working paper archive 1201.4490, Science & Finance, Capital Fund Management.
7. Leonidas Sandoval Junior, 2011. "Pruning a Minimum Spanning Tree," Science & Finance (CFM) working paper archive 1109.0642, Science & Finance, Capital Fund Management.
8. Sitabhra Sinha & Uday Kovur, 2013. "Uncovering the network structure of the world currency market: Cross-correlations in the fluctuations of daily exchange rates," Science & Finance (CFM) working paper archive 1305.0239, Science & Finance, Capital Fund Management.
9. Sandoval, Leonidas Junior, 2013. "To lag or not to lag? How to compare indices of stock markets that operate at different times," Insper Working Papers wpe_319, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
10. Leonidas Sandoval Junior, 2012. "To lag or not to lag? How to compare indices of stock markets that operate at different times," Science & Finance (CFM) working paper archive 1201.4586, Science & Finance, Capital Fund Management, revised Jul 2013.
11. Leonidas Sandoval Junior, 2013. "Structure and causality relations in a global network of financial companies," Science & Finance (CFM) working paper archive 1310.5388, Science & Finance, Capital Fund Management.
12. Sandoval, Leonidas Junior, 2013. "Structure and causality relations in a global network of financial companies," Insper Working Papers wpe_324, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.

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