In this paper, we
introduce a novel algorithm, based on the wavelet transform, to measure stock
market development. This
algorithm is applied to the return series of fourteen worldwide market indices
from 1996 to 2005. We find that a comparison of the return series in terms of
the quantity of fractional Gaussian noise (fGn), for different values of Hurst
exponent (H), facilitates the classification of stock markets according
to their degree of development. We also observe that the simple classification
of stock markets into “emerging” or “developing” and “mature” or “developed” is
no longer sufficient. However, stock markets can be grouped into three categories that we named emerging, intermediate and mature.
Cite this paper
A. Sharkasi, H. Ruskin, M. Crane, J. Matos and S. Gama, "A Wavelet-Based Method to Measure Stock Market Development," Open Journal of Statistics
, Vol. 4 No. 1, 2014, pp. 89-96. doi: 10.4236/ojs.2014.41009
 A. Demirgüc-Kunt and R. Levine, “Stock Market Development and Financial Intermediaries,” The World Bank, Policy Research Working Paper No. 1462, 1995.
 T. Di Matteo, T. Aste and M. M. Dacorogna, “Scaling Behaviours in Differently Developed Markets,” Physica A, Vol. 324, 2003, pp. 183-188. http://dx.doi.org/10.1016/S0378-4371(02)01996-9
 T. Di Matteo, T. Aste and M. M. Dacorogna, “Long-Term Memories of Developed and Emerging Markets: Using the Scaling Analysis to Characterise Their Stage of Development,” Journal of Banking and Finance, Vol. 29, No. 4, 2005, pp. 827-851.http://dx.doi.org/10.1016/j.jbankfin.2004.08.004
 A. Sharkasi, H. J. Ruskin, M. Crane and J. A. M. Matos, “The Reaction of Stock Markets to Crashes and Events: A Comparison Study between Emerging and Mature Markets Using Wavelet Transforms,” Physica A, Vol. 368, No. 2, 2008, pp. 39103915.
 J. A. M. Matos, S. M. Gama, A. Sharkasi, H. J. Ruskin and M. Crane, “Time and Scale Hurst Exponent Analysis for Financial Markets,” Physica A, Vol. 387, No. 15, 2008, pp. 3910-3915. http://dx.doi.org/10.1016/j.physa.2008.01.060
 R. Fuss, “The Financial Characteristics between Emerging and Developed Equity Markets,” Proceedings of Policy Modelling International Conference, Brussels, July 2002.
 S. Patel and A. Sarkar, “Stock Market Crises in Developed and Emerging Stock Markets,” Federal Reserve Bank of New York, Research Paper No. 9809, 1998.
 R. Salomons and H. Grootveld, “The Equity Risk Premium: Emerging versus Developed Markets,” University Groningen SOM Working Paper No. 02E45, 2002.
 P. D. Wooldridge, D. Domanski and A. Cobau, “Changing Links between Mature and Emerging Financial Markets,” BIS Quarterly Review, 2002, pp. 45-54.
 R. Coelho, S. Hutzler, P. Repetowicz and P. Richmond, “Sector Analysis for a FTSE Portfolio of Stocks,” Physica A, Vol. 373, 2006, pp. 615-626. http://dx.doi.org/10.1016/j.physa.2006.02.050