The European Physical Journal B

, Volume 38, Issue 2, pp 363–371 | Cite as

Networks of equities in financial markets

  • G. Bonanno
  • G. Caldarelli
  • F. Lillo
  • S. Micciché
  • N. Vandewalle
  • R. N. Mantegna
Article

Abstract.

We review the recent approach of correlation based networks of financial equities. We investigate portfolio of stocks at different time horizons, financial indices and volatility time series and we show that meaningful economic information can be extracted from noise dressed correlation matrices. We show that the method can be used to falsify widespread market models by directly comparing the topological properties of networks of real and artificial markets.

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References

  1. 1.
    D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)ADSCrossRefGoogle Scholar
  2. 2.
    A.L. Barabási, R. Albert, Science 286, 509 (1999)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    P. Erd\” os, A. Rényi, Bull. Inst. Int. Stat. 38, 343 (1961)Google Scholar
  4. 4.
    R. Albert, H. Jeong, A.L. Barabási Nature 401, 130 (1999)CrossRefGoogle Scholar
  5. 5.
    G. Caldarelli, R. Marchetti, L. Pietronero, Europhys. Lett. 52, 386 (2000)ADSCrossRefGoogle Scholar
  6. 6.
    R. Pastor-Satorras, A. Vazquez, A. Vespignani, Phys. Rev. Lett. 87, 258701 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    M.E.J. Newman, D.J. Watts, S.H. Strogatz, Proc. Natl. Acad. Sci. USA 99, 2566 (2002)ADSCrossRefGoogle Scholar
  8. 8.
    R.N. Mantegna, Eur. Phys. J. B 11, 193 (1999)ADSCrossRefGoogle Scholar
  9. 9.
    N. Vandewalle, F. Brisbois, X. Tordoir, Quantitative Finance 1, 372 (2001)MathSciNetCrossRefGoogle Scholar
  10. 10.
    H. Markowitz, Portfolio Selection: Efficient Diversification of Investment (J. Wiley, New York, 1959)Google Scholar
  11. 11.
    E.J. Elton, M.J. Gruber, Modern Portfolio Theory and Investment Analysis (J. Wiley and Sons, New York, 1995)Google Scholar
  12. 12.
    J.Y. Campbell, A.W. Lo, A.C. MacKinlay, The Econometrics of Financial Markets (Princeton University Press, Princeton, 1997)Google Scholar
  13. 13.
    E.J. Elton, M.J. Gruber, J. Business 44, 432 (1971)CrossRefGoogle Scholar
  14. 14.
    L. Laloux, P. Cizeau, J.-P. Bouchaud, M. Potters, Phys. Rev. Lett. 83, 1468 (1999)ADSCrossRefGoogle Scholar
  15. 15.
    V. Plerou, P. Gopikrishnan, B. Rosenow, L.A.N. Amaral, H.E. Stanley, Phys. Rev. Lett. 83, 1471 (1999)ADSCrossRefGoogle Scholar
  16. 16.
    D.B. Panton, V. Parker Lessig, O.M. Joy, J. Financial and Quantitative Analysis 11, 415 (1976)CrossRefGoogle Scholar
  17. 17.
    L. Kullmann, J. Kertesz, R.N. Mantegna, Physica A 287, 412 (2000)ADSCrossRefGoogle Scholar
  18. 18.
    M. Bernaschi, L. Grilli, L. Marangio, S. Succi, D. Vergni, cond-mat/0003025Google Scholar
  19. 19.
    L. Giada, M. Marsili, Phys. Rev. E 63, 061101 (2001)ADSCrossRefGoogle Scholar
  20. 20.
    M. Marsili, Quantitative Finance 2, 297 (2002)CrossRefGoogle Scholar
  21. 21.
    G. Bonanno, F. Lillo, R.N. Mantegna, Quantitative Finance 1, 96 (2001)CrossRefGoogle Scholar
  22. 22.
    G. Bonanno, G. Caldarelli, F. Lillo, R.N. Mantegna, Phys. Rev. E 68, 046130 (2003)ADSCrossRefGoogle Scholar
  23. 23.
    G. Bonanno, N Vandewalle, R.N. Mantegna, Phys. Rev. E 62, R7615 (2000)Google Scholar
  24. 24.
    S. Micciché, G. Bonanno, F. Lillo, R.N. Mantegna, Physica A 324, 66 (2003)ADSMathSciNetCrossRefGoogle Scholar
  25. 25.
    R. Rammal, G. Toulouse, M.A. Virasoro, Rev. Mod. Phys. 58, 765 (1986)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    K.V. Mardia, J.T. Kent, J.M. Bibby, Multivariate Analysis (Academic Press, San Diego, CA, 1979)Google Scholar
  27. 27.
    J.C. Gower, Biometrika 53, 325 (1966)MathSciNetCrossRefGoogle Scholar
  28. 28.
    D.B. West, Introduction to Graph Theory (Prentice-Hall, Englewood Cliffs NJ, 1996)Google Scholar
  29. 29.
    R.N. Mantegna, H.E. Stanley, An Introduction to Econophysics: Correlations and Complexity in Finance (Cambridge Univ. Press, Cambridge UK, 2000)Google Scholar
  30. 30.
    M. Mézard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987)Google Scholar
  31. 31.
    T.W. Epps, J. Am. Statistical Association 74, 291 (1979)Google Scholar
  32. 32.
    A.W. Lo, A.C. MacKinlay, J. Econometrics 45, 181 (1990)MathSciNetCrossRefGoogle Scholar
  33. 33.
    K.G. Becker, J.E. Finnerty, M. Gupta, J. Finance XLV, 1297 (1990)Google Scholar
  34. 34.
    W.-L. Lin, R.F. Engle, T. Ito, Rev. Financial Studies 7, 507 (1994)CrossRefGoogle Scholar
  35. 35.
    P. Embrechts, A. McNeil, D. Straumann, in Risk Management: Value at Risk and Beyond, edited by M.A.H. Dempster (Cambridge University Press, Cambridge, 2002), pp. 176-223Google Scholar
  36. 36.
    L. Kullmann, J. Kertesz, K. Kaski, Phys. Rev. E 66, 026125 (2002)ADSCrossRefGoogle Scholar
  37. 37.
    J.-P. Onnela, A. Chakraborti, K. Kaski, J. Kertesz, Eur. Phys. J. B 30, 285 (2002)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    J.-P. Onnela, A. Chakraborti, K. Kaski, J. Kertesz, Physica A 324, 247 (2003)ADSMathSciNetCrossRefGoogle Scholar
  39. 39.
    J.-P. Onnela, A. Chakraborti, K. Kaski, J. Kertesz, A. Kanto, Physica Scripta T 106, 48 (2003)ADSCrossRefGoogle Scholar
  40. 40.
    J.-P. Onnela, A. Chakraborti, K. Kaski, J. Kertesz, A. Kanto, Phys. Rev. E 68, 056110 (2003)ADSCrossRefGoogle Scholar
  41. 41.
    I. Marsh, private communicationGoogle Scholar
  42. 42.
    M.A. Miceli, G. Susinno, Risk 16, (11) S11 (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • G. Bonanno
    • 1
    • 2
  • G. Caldarelli
    • 1
  • F. Lillo
    • 2
    • 3
  • S. Micciché
    • 2
    • 3
  • N. Vandewalle
    • 4
  • R. N. Mantegna
    • 2
    • 3
  1. 1.Istituto Nazionale per la Fisica della MateriaUnitá di Roma, Roma “La Sapienza”RomaItaly
  2. 2.Dipartimento di Fisica e Tecnologie RelativeUniversitá di PalermoPalermoItaly
  3. 3.Istituto Nazionale per la Fisica della MateriaUnitá di PalermoPalermoItaly
  4. 4.GRASP, Institut de Physique B5Université de LiégeLiégeBelgium

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