Skip to main content
Log in

Financial correlations at ultra-high frequency: theoretical models and empirical estimation

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

Abstract.

A detailed analysis of correlation between stock returns at high frequency is compared with simple models of random walks. We focus in particular on the dependence of correlations on time scales – the so-called Epps effect. This provides a characterization of stochastic models of stock price returns which is appropriate at very high frequency.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.P. Bouchaud, M. Potters, Theory of financial risk and derivative pricing: from statistical physics to risk management (Cambridge University Press, Cambridge, 2003)

  2. E.J. Elton, M.J. Gruber, Modern Portfolio theory and investment analysis (J. Wiley & Sons, New York, 1995)

  3. T.W. Epps, J. Am. Stat. Assoc. 74, 291 (1979)

    Article  Google Scholar 

  4. G. Bonanno, F. Lillo, R.N. Mantegna, Quant. Financ. 1, 1 (2001)

    Article  Google Scholar 

  5. A. Zebedee, J. Econ. Bus. 61, 279 (2009)

    Article  Google Scholar 

  6. M. Lundin, M. Dacorogna, U. Müller, Financial Markets Tick by Tick (Wiley & Sons, New York, 1999), p. 91

  7. J. Muthuswamy, S. Sarkar, A. Low, E. Terry, J. Future Mark. 21, 127 (2001)

    Article  Google Scholar 

  8. S. Pafka, I. Kondor, G. Nagy, J. Bank. Financ. 31, 1545 (2007)

    Article  Google Scholar 

  9. C. Borghesi, M. Marsili, S. Micciché, Phys. Rev. E 76, 026104 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  10. M.C. Munnix, R. Schafer, T. Guhr, Physica A 389, 767 (2010)

    Article  ADS  Google Scholar 

  11. M.C. Munnix, R. Schafer, T. Guhr, Physica A 389, 4828 (2010)

    Article  ADS  Google Scholar 

  12. R. Renò, Int. J. Theor. Appl. Finance 6, 87 (2003)

    Article  MATH  Google Scholar 

  13. J. Large, Technical Report, Oxford-Man Institute, University of Oxford, 2007

  14. M. Scholes, J. Williams, J. Financ. Econ. 5, 309 (1977)

    Article  Google Scholar 

  15. A. Lo, C. MacKinlay, J. Econom. 45, 181 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  16. B. Tóth, J. Kertész, Quant. Financ. 9, 793 (2009)

    Article  MATH  Google Scholar 

  17. B. Tóth, J. Kertész, Physica A 388, 1696 (2009)

    Article  ADS  Google Scholar 

  18. O.E. Bandorff-Nielsen, P.R. Hansen, A. Lunde, N. Shephard, Technical Report, University of Oxford, 2009

  19. L. Zhang, J. Econom. 160, 33 (2011)

    Article  Google Scholar 

  20. A. Lo, A.C. MacKinlay, Rev. Financ. Stud. 3, 175 (1990)

    Article  Google Scholar 

  21. L. Kullmann, J. Kertész, K. Kaski, Phys. Rev. E 66, 026125 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. B. Tóth, J. Kertész, Proc. SPIE 6601, 66010J (2007)

    Article  Google Scholar 

  24. M.M. Dacorogna, R. Gençay, U. Müller, R.B. Olsen, O.V. Pictet, An Introduction to High-Frequency Finance (Academic Press, San Diego, 2001)

  25. P. Malliavin, M.E. Mancino, Finance and Stochastics 4, 49 (2002)

    Article  MathSciNet  Google Scholar 

  26. T. Hayashi, N. Yoshida, Bernoulli 11, 359379 (2005)

    Article  MathSciNet  Google Scholar 

  27. J.E. Griffin, R.A. Oomen, J. Econom. 160, 58 (2011)

    Article  MathSciNet  Google Scholar 

  28. M. Potters, J.P. Bouchaud, L. Laloux, Acta Phys. Pol. B 36, 2767 (2005)

    ADS  MathSciNet  Google Scholar 

  29. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series (Wiley, New York, 1949)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mastromatteo, I., Marsili, M. & Zoi, P. Financial correlations at ultra-high frequency: theoretical models and empirical estimation. Eur. Phys. J. B 80, 243–253 (2011). https://doi.org/10.1140/epjb/e2011-10865-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2011-10865-y

Keywords

Navigation