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Financial markets as adaptative systems

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  • Marc Potters

    (Science & Finance, Capital Fund Management)

  • Rama Cont

    (Science & Finance, Capital Fund Management)

  • Jean-Philippe Bouchaud

    (Science & Finance, Capital Fund Management
    CEA Saclay;)

Abstract

We show, by studying in detail the market prices of options on liquid markets, that the market has empirically corrected the simple, but inadequate Black-Scholes formula to account for two important statistical features of asset fluctuations: `fat tails' and correlations in the scale of fluctuations. These aspects, although not included in the pricing models, are very precisely reflected in the price fixed by the market as a whole. Financial markets thus behave as rather efficient adaptive systems.

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Bibliographic Info

Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 500037.

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Date of creation: Sep 1996
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Publication status: Published in Europhysics Letters 41, 239 (1998)
Handle: RePEc:sfi:sfiwpa:500037

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References

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  1. Rama Cont & Marc Potters & Jean-Philippe Bouchaud, 1997. "Scaling in stock market data: stable laws and beyond," Science & Finance (CFM) working paper archive 9705087, Science & Finance, Capital Fund Management.
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Cited by:
  1. S. M. Duarte Queiros, 2005. "On non-Gaussianity and dependence in financial time series: a nonextensive approach," Quantitative Finance, Taylor & Francis Journals, vol. 5(5), pages 475-487.
  2. Eric Benhamou, 2002. "Option pricing with Levy Process," Finance 0212006, EconWPA.
  3. Lisa Borland & Jean-Philippe Bouchaud & Jean-Francois Muzy & Gilles Zumbach, 2005. "The Dynamics of Financial Markets -- Mandelbrot's multifractal cascades, and beyond," Science & Finance (CFM) working paper archive 500061, Science & Finance, Capital Fund Management.
  4. Birke, Melanie & Pilz, Kay F., 2007. "Nonparametric option pricing with no-arbitrage constraints," Technical Reports 2007,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  5. Yuji Yamada & James Primbs, 2004. "Properties of Multinomial Lattices with Cumulants for Option Pricing and Hedging," Asia-Pacific Financial Markets, Springer, vol. 11(3), pages 335-365, September.
  6. Eric Benhamou & Alexandre Duguet, 2000. "A 2 Dimensional Pde For Discrete Asian Options," Computing in Economics and Finance 2000 33, Society for Computational Economics.
  7. Rama Cont, 1997. "Scaling and correlation in financial data," Papers cond-mat/9705075, arXiv.org, revised May 1997.
  8. Rama CONT, 1998. "Beyond implied volatility: extracting information from option prices," Finance 9804002, EconWPA.

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