Skip to main content
Log in

Inefficiency in Latin-American market indices

  • Interdisciplinary Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

We explore the deviations from efficiency in the returns and volatility returns of Latin-American market indices. Two different approaches are considered. The dynamics of the Hurst exponent is obtained via a wavelet rolling sample approach, quantifying the degree of long memory exhibited by the stock market indices under analysis. On the other hand, the Tsallis q entropic index is measured in order to take into account the deviations from the Gaussian hypothesis. Different dynamic rankings of inefficieny are obtained, each of them contemplates a different source of inefficiency. Comparing with the results obtained for a developed country (US), we confirm a similar degree of long-range dependence for our emerging markets. Moreover, we show that the inefficiency in the Latin-American countries comes principally from the non-Gaussian form of the probability distributions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • M. Bęben, A. Orłowski, Eur. Phys. J. B 20, 527 (2001)

    Article  ADS  Google Scholar 

  • T. Di Matteo, T. Aste, M.M. Dacorogna, Physica A 324, 183 (2003)

    Article  MATH  ADS  Google Scholar 

  • T. Di Matteo, T. Aste, M.M. Dacorogna, J. Bank. Fin. 29, 827 (2005)

    Article  Google Scholar 

  • P. Grau-Carles, Physica A 287, 396 (2000)

    Article  ADS  Google Scholar 

  • T. Lux, Appl. Econom. Lett. 3, 701 (1996)

    Article  Google Scholar 

  • B.K. Ray, R.S. Tsay, J. Bus. Econ. Stat. 18, 254 (2000)

    Article  Google Scholar 

  • P. Sibbertsen, Empirical Econ. 29, 477 (2004)

    Article  Google Scholar 

  • D.O. Cajueiro, B.M. Tabak, Physica A 336, 521 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • D.O. Cajueiro, B.M. Tabak, Physica A 346, 577 (2005)

    Article  ADS  Google Scholar 

  • D.O. Cajueiro, B.M. Tabak, Solitons & Fractals 22, 349 (2004)

    Article  MATH  Google Scholar 

  • D.O. Cajueiro, B.M. Tabak, Chaos, Solitons & Fractals 23, 671 (2005)

    Article  MATH  Google Scholar 

  • B. Tóth, J. Kertész, Physica A 360, 505 (2006)

    Article  ADS  Google Scholar 

  • H.F. Coronel-Brizio, A.R. Hernández-Montoya, R. Huerta-Quintanilla, M. Rodríguez-Achach, Physica A 380, 391 (2007)

    Article  ADS  Google Scholar 

  • B.M. Tabak, D.O. Cajueiro, Physica A 367, 319 (2006)

    Article  ADS  Google Scholar 

  • I. Daubechies, Ten lectures on wavelets, SIAM, Philadelphia, 1992

  • S. Mallat, A wavelet tour of signal processing, 2nd edn. (Academic Press, 1999)

  • P. Abry, P. Flandrin, M.S. Taqqu, D. Veitch, Wavelets for the analysis, estimation, and synthesis of scaling data, in: Self-similar Network Traffic and Performance Evaluation, edited by K. Park, W. Willinger (Wiley, 2000), pp. 39–87

  • P. Abry, D. Veitch, IEEE Trans. Inform. Theory 44, 2 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  • L. Zunino, D.G. Pérez, M. Garavaglia, O.A. Rosso, Fractals 12, 223 (2004)

    Article  MATH  Google Scholar 

  • L. Zunino, D.G. Pérez, M. Garavaglia, O.A. Rosso, Physica A 364, 79 (2006)

    Article  ADS  Google Scholar 

  • http://www.cubinlab.ee.mu.oz.au/~darryl/secondorder_code.html

  • R.L. Costa, G.L. Vasconcelos, Physica A 329, 231 (2003)

    Article  MATH  ADS  Google Scholar 

  • A. Carbone, G. Castelli, H.E. Stanley, Physica A 344, 267 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • R.F. Peltier, J. Lévy-Véhel, Multifractional Brownian motion: definition and preliminary results, Research Report RR-2645, INRIA (1995)

  • S.V. Muniandy, S.C. Lim, R. Murugan, Physica A 301, 407 (2001)

    Article  MATH  ADS  Google Scholar 

  • J.-F. Coeurjolly, Statistical inference for fractional and multifractional Brownian motions, Ph.D. thesis, Laboratoire de Modélisation et Calcul – Institut d'Informatique el Mathématiques Appliquées de Grenoble, 2000

  • D. Veitch, M.S. Taqqu, P. Abry, Sign. Process. 80, 1971 (2000)

    Article  MATH  Google Scholar 

  • E. Bayraktar, H. Vincent Poor, K. Ronnie Sircar, Int. J. Theor. Appl. Finance 7, 615 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  • G. Papanicolaou, K. Sølna, Wavelet based estimation of local Kolmogorov turbulence, Long-Range Dependence: Theory and Applications, edited by P. Doukhan, G. Oppenheim, M.S. Taqqu (Birkhäuser, 2003), pp. 473–505

  • C. Tsallis, S.V.F. Levy, A.M.C. Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996)

  • Z. Ding, C. Granger, R. Engle, J. Empir. Fin. 1, 83 (1993)

    Article  Google Scholar 

  • M. Davidian, R.J. Carroll, J. Am. Stat. Association 82, 1079 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  • K.P. Lim, Physica A 376, 445 (2007)

    Article  ADS  Google Scholar 

  • D.O. Cajueiro, B.M. Tabak, Chaos, Solitons & Fractals, in press

  • Y. Ashkenazy, P.C. Ivanov, S. Havlin, C.-K. Peng, A.L. Goldberger, H.E. Stanley, Phys. Rev. Lett. 86, 1900 (2001)

    Article  ADS  Google Scholar 

  • T. Kalisky, Y. Ashkenazy, S. Havlin, Phys. Rev. E 72, 011913 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • C.A. Bonilla, R. Romero-Meza, M.J. Hinich, Appl. Econ. Lett. 13, 195 (2006)

    Article  Google Scholar 

  • M. Raberto, E. Scalas, G. Cuniberti, M. Riani, Physica A 269, 148 (1999)

    Article  Google Scholar 

  • C. Morana, Appl. Finan. Econ. Lett. 2, 361 (2006)

    Article  Google Scholar 

  • R.T. Baillie, Y.-W. Han, R.J. Myers, J. Song, J. Futures Mark. 27, 643 (2007)

    Article  Google Scholar 

  • B.B. Mandelbrot, J.W. Van Ness, SIAM Rev. 4, 422 (1968)

    Article  MathSciNet  Google Scholar 

  • P. Flandrin, IEEE Trans. Inform. Theory IT-35, 197 (1989)

    Google Scholar 

  • J. Beran, Statistics for long-memory processes, in: Monographs on Statistics and Applied Probability (Chapman & Hall, 1994), Vol. 61

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. Zunino.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zunino, L., Tabak, B., Pérez, D. et al. Inefficiency in Latin-American market indices. Eur. Phys. J. B 60, 111–121 (2007). https://doi.org/10.1140/epjb/e2007-00316-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2007-00316-y

PACS.

Navigation