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An introduction to statistical finance

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  • Jean-Philippe Bouchaud

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

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    Abstract

    We summarize recent research in a rapid growing field, that of statistical finance, also called `econophysics'. There are three main themes in this activity: (i) empirical studies and the discovery of interesting universal features in the statistical texture of financial time series, (ii) the use of these empirical results to devise better models of risk and derivative pricing, of direct interest for the financial industry, and (iii) the study of `agent-based models' in order to unveil the basic mechanisms that are responsible for the statistical `anomalies' observed in financial time series. We give a brief overview of some of the results in these three directions.

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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 313238.

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    Date of creation: Jan 2002
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    Publication status: Published in Physica A 313 (1-2) (2002) pp. 238-251
    Handle: RePEc:sfi:sfiwpa:313238

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    1. J. Doyne Farmer, 2002. "Market force, ecology and evolution," Industrial and Corporate Change, Oxford University Press, vol. 11(5), pages 895-953, November.
    2. Giulia Iori, 2000. "A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions," Finance 0004007, EconWPA.
    3. J. -P. Bouchaud & N. Sagna & R. Cont & N. El-Karoui & M. Potters, 1997. "Phenomenology of the Interest Rate Curve," Papers cond-mat/9712164, arXiv.org.
    4. Vasiliki Plerou & Parameswaran Gopikrishnan & Xavier Gabaix & H. Eugene Stanley, 2001. "Quantifying Stock Price Response to Demand Fluctuations," Papers cond-mat/0106657, arXiv.org.
    5. Jean-Philippe Bouchaud & Andrew Matacz & Marc Potters, 2001. "The leverage effect in financial markets: retarded volatility and market panic," Science & Finance (CFM) working paper archive 0101120, Science & Finance, Capital Fund Management.
    6. Farhat Selmi & Jean-Philippe Bouchaud, 2000. "Hedging large risks reduces the transaction costs," Science & Finance (CFM) working paper archive 500033, Science & Finance, Capital Fund Management.
    7. A. Corcos & J-P Eckmann & A. Malaspinas & Y. Malevergne & D. Sornette, 2002. "Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 264-281.
    8. Pierre Cizeau & Marc Potters & Jean-Philippe Bouchaud, 2000. "Correlation structure of extreme stock returns," Science & Finance (CFM) working paper archive 0006034, Science & Finance, Capital Fund Management.
    9. P. Cizeau & M. Potters & J-P. Bouchaud, 2001. "Correlation structure of extreme stock returns," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 217-222.
    10. J. Doyne Farmer, 1999. "Physicists Attempt to Scale the Ivory Towers of Finance," Working Papers 99-10-073, Santa Fe Institute.
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    Cited by:
    1. Jan Hanousek & Evzen Kocenda & Jan Novotny, 2011. "The Identification of Price Jumps," CERGE-EI Working Papers wp434, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
    2. Lin, William & Sun, David & Tsai, Shih-Chuan, 2010. "Searching out of Trading Noise: A Study of Intraday Transactions Cost," MPRA Paper 28937, University Library of Munich, Germany, revised 14 Jan 2011.
    3. Amir Safari & Detlef Seese, 2010. "Behavior of realized volatility and correlation in exchange markets," International Econometric Review (IER), Econometric Research Association, vol. 2(2), pages 73-96, September.
    4. Kostanjcar, Zvonko & Jeren, Branko & Juretic, Zeljan, 2012. "Impact of uncertainty in expected return estimation on stock price volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5563-5571.
    5. Christophe Schinckus, 2011. "What can econophysics contribute to financial economics?," International Review of Economics, Springer, vol. 58(2), pages 147-163, June.
    6. Bucsa, G. & Jovanovic, F. & Schinckus, C., 2011. "A unified model for price return distributions used in econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3435-3443.
    7. Ferreira, Paulo & Dionisio, Andreia, 2008. "The Entropic Analysis Of Electoral Results: The Case Of European Countries," MPRA Paper 9234, University Library of Munich, Germany.
    8. Fang, Wen & Wang, Jun, 2013. "Fluctuation behaviors of financial time series by a stochastic Ising system on a Sierpinski carpet lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4055-4063.
    9. Hokky Situngkir & Yohanes Surya, 2004. "Stylized Statistical Facts of Indonesian Financial Data: Empirical Study of Several Stock Indexes in Indonesia," Papers cond-mat/0403465, arXiv.org.
    10. Boldea Bogdan Ion & Boldea Costin-Radu & Stanculescu Mircea, 2009. "An Adaptative Evolutionary Model Of Financial Investors," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 4(1), pages 897-901, May.
    11. Lin, William & Tsai, Shih-Chuan & Sun, David, 2009. "What Causes Herding:Information Cascade or Search Cost ?," MPRA Paper 20217, University Library of Munich, Germany, revised 23 Jan 2010.
    12. Oliveira dos Santos Soares, Ricardo & Martinez, Alexandre Souto, 2006. "The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 823-829.
    13. Lee, Sangwook & Kim, Min Jae & Lee, Sun Young & Kim, Soo Yong & Ban, Joon Hwa, 2013. "The effect of the subprime crisis on the credit risk in global scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2060-2071.
    14. Bernardo Spagnolo & Davide Valenti, 2008. "Volatility Effects on the Escape Time in Financial Market Models," Papers 0810.1625, arXiv.org.
    15. D’Amico, Guglielmo & Janssen, Jacques & Manca, Raimondo, 2009. "European and American options: The semi-Markov case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3181-3194.
    16. Schinckus, Christophe, 2009. "Economic uncertainty and econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4415-4423.
    17. Jan Novotný & Jan Hanousek & Evžen Kočenda, 2013. "Price Jump Indicators: Stock Market Empirics During the Crisis," William Davidson Institute Working Papers Series wp1050, William Davidson Institute at the University of Michigan.
    18. Xiao, Di & Wang, Jun, 2012. "Modeling stock price dynamics by continuum percolation system and relevant complex systems analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4827-4838.

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