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Financial time series and neural networks in a minority game context

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Book cover Mathematical and Statistical Methods for Actuarial Sciences and Finance

Abstract

In this paper we consider financial time series from U.S. Fixed Income Market, S&P500, DJ Eurostoxx 50, Dow Jones, Mibtel and Nikkei 225. It is well known that financial time series reveal some anomalies regarding the Efficient Market Hypothesis and some scaling behaviour, such as fat tails and clustered volatility, is evident. This suggests that financial time series can be considered as “pseudo”-random. For this kind of time series the prediction power of neural networks has been shown to be appreciable [10]. At first, we consider the financial time series from the Minority Game point of view and then we apply a neural network with learning algorithm in order to analyse its prediction power. We prove that the Fixed Income Market shows many differences from other markets in terms of predictability as a measure of market efficiency.

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References

  1. Arthur, W.B.: Inductive reasoning and bounded rationality. Am. Econ. Rev. 84, 406–411 (1994)

    Google Scholar 

  2. Bachelier, L.: Theorie de la speculation. Paris (1900). Reprinted by MIT Press, Cambridge (1964)

    Google Scholar 

  3. Bernaschi, M., Grilli, L., Vergni, D.: Statistical analysis of fixed income market. Phys. A Stat. Mech. Appl. 308, 381–390 (2002)

    Article  MATH  Google Scholar 

  4. Cavagna A.: Irrelevance of memory in the minority game. Phys. Rev. E, 59:R3783 (1999)

    Google Scholar 

  5. Challet, D.: Inter-pattern speculation: beyond minority, majority and $-games. cond-mat/05021405 (2005)

    Google Scholar 

  6. Challet, D., Chessa, A., Marsili, M., Zhang, Y.-C.: From Minority Games to real markets. cond-mat/0011042 (2000)

    Google Scholar 

  7. Coolen, A.C.C.: Generating funcional analysis of Minority Games with real market histories. cond-mat/0410335 (2004)

    Google Scholar 

  8. Hart, M., Jefferies, P., Johnson, N.F., Hui, P.M.: Crowd-anticrowd model of the Minority Game. cond-mat/00034860 (2000)

    Google Scholar 

  9. Grilli, L.: Long-term fixed income market structure. Phys. A Stat. Mech. Appl. 332, 441–447 (2004)

    Article  Google Scholar 

  10. Grilli, L., Sfrecola, A.: A Neural Networks approach to Minority Game. Neural Comput. Appl. 18, 109–113 (2009)

    Article  Google Scholar 

  11. Kinzel, W., Kanter, I.: Dynamics of interacting neural networks. J. Phys. A. 33, L141–L147 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  12. Metzler, R., Kinzel, W., Kanter, I. Interacting neural networks. Phys. Rev. E. 62, 2555 (2000)

    Article  Google Scholar 

  13. Simon, H.: Models of Bounded Rationality. MIT Press, Cambridge (1997)

    Google Scholar 

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Grilli, L., Russo, M.A., Sfrecola, A. (2010). Financial time series and neural networks in a minority game context. In: Corazza, M., Pizzi, C. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. Springer, Milano. https://doi.org/10.1007/978-88-470-1481-7_16

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