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Order Flow, Transaction Clock, and Normality of Asset Returns

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Author Info

  • Thierry Ané

    (University Paris Dauphine,)

  • Hélyette Geman

    (ESSEC Graduate Business School and the University Paris Dauphine)

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    Abstract

    The goal of this paper is to show that normality of asset returns can be recovered through a stochastic time change. Clark (1973) addressed this issue by representing the price process as a subordinated process with volume as the lognormally distributed subordinator. We extend Clark's results and find the following: (i) stochastic time changes are mathematically much less constraining than subordinators; (ii) the cumulative number of trades is a better stochastic clock than the volume for generating virtually perfect normality in returns; (iii) this clock can be modeled nonparametrically, allowing both the time-change and price processes to take the form of jump diffusions. Copyright The American Finance Association 2000.

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    Bibliographic Info

    Article provided by American Finance Association in its journal The Journal of Finance.

    Volume (Year): 55 (2000)
    Issue (Month): 5 (October)
    Pages: 2259-2284

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    Handle: RePEc:bla:jfinan:v:55:y:2000:i:5:p:2259-2284

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    Cited by:
    1. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold, 2002. "Parametric and Nonparametric Volatility Measurement," Center for Financial Institutions Working Papers 02-27, Wharton School Center for Financial Institutions, University of Pennsylvania.
    2. Torben G. Andersen & Tim Bollerslev & Per Frederiksen & Morten Ørregaard Nielsen, 2008. "Continuous-Time Models, Realized Volatilities, and Testable Distributional Implications for Daily Stock Returns," Working Papers 1173, Queen's University, Department of Economics.
    3. Roel C.A. Oomen, 2004. "Statistical Models for High Frequency Security Prices," Econometric Society 2004 North American Winter Meetings 77, Econometric Society.
    4. A. Christian Silva & Ju-Yi J. Yen, 2008. "Stochastic resonance and the trade arrival rate of stocks," Papers 0807.0925, arXiv.org.
    5. Anthony Murphy & Marwan Izzeldin, 2005. "Order Flow, Transaction Clock, and Normality of Asset Returns: A Comment on Ané and Geman (2000)," Finance 0512005, EconWPA.
    6. Fiorani, Filo, 2004. "Option Pricing Under the Variance Gamma Process," MPRA Paper 15395, University Library of Munich, Germany.
    7. Chan, Choon Chat & Fong, Wai Mun, 2006. "Realized volatility and transactions," Journal of Banking & Finance, Elsevier, vol. 30(7), pages 2063-2085, July.
    8. Qian, Hang, 2011. "Bayesian Portfolio Selection in a Markov Switching Gaussian Mixture Model," MPRA Paper 35561, University Library of Munich, Germany.
    9. Aki-Hiro Sato & Takaki Hayashi & Janusz A. Ho{\l}yst, 2012. "Comprehensive Analysis of Market Conditions in the Foreign Exchange Market: Fluctuation Scaling and Variance-Covariance Matrix," Papers 1204.0426, arXiv.org.
    10. Corsi, Fulvio & Fusari, Nicola & La Vecchia, Davide, 2013. "Realizing smiles: Options pricing with realized volatility," Journal of Financial Economics, Elsevier, vol. 107(2), pages 284-304.
    11. Aki-Hiro Sato & Takaki Hayashi & Janusz Hołyst, 2012. "Comprehensive analysis of market conditions in the foreign exchange market," Journal of Economic Interaction and Coordination, Springer, vol. 7(2), pages 167-179, October.
    12. Renault, Eric & Werker, Bas J.M., 2011. "Causality effects in return volatility measures with random times," Journal of Econometrics, Elsevier, vol. 160(1), pages 272-279, January.
    13. Seemann, Lars & McCauley, Joseph L. & Gunaratne, Gemunu H., 2011. "Intraday volatility and scaling in high frequency foreign exchange markets," International Review of Financial Analysis, Elsevier, vol. 20(3), pages 121-126, June.
    14. Dingan Feng & Peter X.-K. Song & Tony S. Wirjanto, 2008. "Time-Deformation Modeling Of Stock Returns Directed By Duration Processes," Working Papers 08010, University of Waterloo, Department of Economics.
    15. Chatrath, Arjun & Christie-David, Rohan A. & Lee, Kiseop & Moore, William T., 2009. "Competitive inventory management in Treasury markets," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 800-809, May.

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