Abstract
Recent research has shown that stocks in financial markets, and indeed the markets themselves, can interact in complex ways. I describe an idealized phenomenological model which is based on real observed market characteristics and treats a financial market as a complex adaptive system. It is an integral part of this model that a stock cannot be considered singly but is part of a dynamically evolving environment. In this article I concentrate on describing and motivating the model’s basic physical assumptions in some detail. I compare behaviour with real empirical market characteristics and show some new empirical results which indicate that the FTSE100 shares are compatible with on-off intermittency.
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References
Bouchaud J.P., Potters M. (1998) Theorie des Risques Financieres, Alea-Saclay, Eyrolles.
Bonanno G., Vandewalle N., Mantegna R.N. (2000) Taxonomy of Stock Market Indices, cond-mat/0001268.
Mantegna R.N. (1998) Hierarchical Structure in Financial Markets, cond-mat/9802256.
Lillo F., Mantegna R.N. (2000) Symmetry alteration of ensemble return distribution in crash and rally days of financial markets, cond-mat/0002438. Empirical properties of the variety of a financial portfolio and the single-index model condmat/0009401. Variety and Volatility in Financial Markets cond-mat/0006065.
Drozdz S., Grummer F., Ruf F., Speth J. (1999) Dynamics of competition between collectivity and noise in the stock market, cond-mat/9911168.
Mantegna R.N., Stanley H.E. (1995) Nature 376 46–49.
Laloux L., Cizeau P., Bouchaud J.P., Potters M. (1999) Noise Dressing of Financial Correlation Matrices Phys.Rev.Lett. 83, 1467–1470.
Plerou V., Gopikrishnan P., Rosenow B., Amaral L.A.N., Stanley H.E. (1999) Universal and Nonuniversal properties of Cross Correlations in Financial Time Series, Phys.Rev.Lett. 83 1471.
Gopikrishnan P., Rosenow B., Plerou V., Stanley H.E. (2000) Identifying Business Sectors from Stock Price Fluctuations, cond-mat/0011145.
Plerou V., Gopikrishnan P., Amaral L.A.N., Meyer M., Stanley H.E. (1999) Scaling of the Distribution of price fluctuations of individual companies, condmat/9907161.
Gopikrishnan P., Plerou V., Amaral L.A.N., Meyer M., Stanley H.E. (1999) Scaling of the Distribution of fluctuations of financial market indices, cond-mat/9905305.
Liu Y., Gopikrishnan P., Cizeau P., Meyer M., Peng C-K., Stanley H.E. (1999), Statistical Properties of the volatility of price fluctuations, Phys.Rev.E 60 1390.
Muzy F., Sornette D., Delour J., Arneodo A. (2000) Multifractal returns and Hierarchical Portfolio Theory, cond-mat/0008069.
Plummer T. (1989) Forecasting Financial Markets, Kogan Page, London Ltd.
Johansen A., Sornette D. (2000) The Nasdaq crash of April 2000: Yet another example of log-periodicity in a speculative bubble ending in a crash. European Physical Journal B 17, 319–328.
Ponzi A., and Aizawa Y. (2000) Self-organized criticality and partial synchronization in an evolving network. Chaos, Solitons and Fractals 11, 1077–1086.
Ponzi A., and Aizawa Y. (2000) Evolutionary Financial Market Models. Physica A, 287, 507–523.
Ponzi A., and Aizawa Y. (2000) Criticality and Punctuated Equilibrium in a spin system model of a financial market. Chaos, Solitons and Fractals 11, 1739–1746. A. Ponzi. (2000) The Volatility in a Multi-Share Financial Market Model. European Physical Journal B. Ponzi A., and Aizawa Y. (2000) Market Rollercoasters and Truncated Levy Distribution in a Competing Share Financial Market Model. Submitted.
Ponzi A., and Aizawa Y. (1999) The Values Distribution in a Competing Shares Financial Market Model. Proceedings of Third Tohwa University Conference on Statistical Physics, cond-mat/9911428.
Platt N., Hammel S.M., Heagy J.F. (1994) Effects of Additive Noise on On-Off Intermittency. Phys.Rev.Lett. 72, 3498.
Nakao H., (1998) Asymptotic Power-law of moments in random multiplicative process with weak additive noise. Physical Review E 58, 1591.
Palmer R.G., Arthur W.B., Holland J.H., LeBaron B. (1994) Artificial economic life: a simple model of a stockmarket Physica D 75, 264–274.
Challet D, Zhang Y-C. (1998) Physica A 256 514–532.
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Ponzi, A. (2002). A Speculative Financial Market Model. In: Takayasu, H. (eds) Empirical Science of Financial Fluctuations. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66993-7_15
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DOI: https://doi.org/10.1007/978-4-431-66993-7_15
Publisher Name: Springer, Tokyo
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