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Estimating the Volatility of Discrete Stock Prices

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  • Cho, David Chinhyung
  • Frees, Edward W
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    Abstract

    This paper introduces an estimator of stock price volatility which eliminates, at least asymptotically , the biases that are caused by the discreteness of observed stock pr ices. Assuming that the observed stock prices are continuously monito red, an estimator is constructed using the notion of how quickly the price changes rather than how much the price changes. It is shown tha t this estimator has desirable asymptotic properties, including consi stency and normality. Also, through a simulation study, the authors s how that it outperforms natural estimators for low and middle priced stocks. Further, the simulation study demonstrates that the proposed estimator is robust to certain misspecifications in measuring the tim e between price changes. Copyright 1988 by American Finance Association.

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    Bibliographic Info

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

    Volume (Year): 43 (1988)
    Issue (Month): 2 (June)
    Pages: 451-66

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    Handle: RePEc:bla:jfinan:v:43:y:1988:i:2:p:451-66

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    Cited by:
    1. Nikolaus Hautsch & Winfried Pohlmeier, 2001. "Econometric Analysis of Financial Transaction Data: Pitfalls and Opportunities," CoFE Discussion Paper 01-05, Center of Finance and Econometrics, University of Konstanz.
    2. Andrew W. Lo & A. Craig MacKinlay & June Zhang, . "Econometric Models of Limit-Order Executions," Rodney L. White Center for Financial Research Working Papers 12-99, Wharton School Rodney L. White Center for Financial Research.
    3. Hellström, Jörgen & Simonsen, Ola, 2006. "Does the Open Limit Order Book Reveal Information About Short-run Stock Price Movements?," UmeÃ¥ Economic Studies 687, Umeå University, Department of Economics.
    4. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June.
    5. Gerhard, Frank & Hautsch, Nikolaus, 2002. "Volatility estimation on the basis of price intensities," Journal of Empirical Finance, Elsevier, vol. 9(1), pages 57-89, January.
    6. Bertrand B. Maillet & Jean-Philippe R. Médecin, 2010. "Extreme Volatilities, Financial Crises and L-moment Estimations of Tail-indexes," Working Papers 2010_10, Department of Economics, University of Venice "Ca' Foscari".
    7. Weaver, Robert D & Natcher, William C, 2000. "Commodity Price Volatility under New Market Orientations," MPRA Paper 9862, University Library of Munich, Germany.
    8. Winfried Pohlmeier & Roman Liesenfeld, 2003. "A Dynamic Integer Count Data Model for Financial Transaction Prices," CoFE Discussion Paper 03-03, Center of Finance and Econometrics, University of Konstanz.
    9. Vuorenmaa, Tommi A., 2008. "Decimalization, Realized Volatility, and Market Microstructure Noise," MPRA Paper 8692, University Library of Munich, Germany.
    10. Antonios Antoniou & Constantinos E. Vorlow, 2004. "Price Clustering and Discreteness: Is there Chaos behind the Noise?," Papers cond-mat/0407471, arXiv.org.
    11. Dubofsky, David, 1997. "Limit orders and ex-dividend day return distributions," Journal of Empirical Finance, Elsevier, vol. 4(1), pages 47-65, January.
    12. Pandey, Ajay, . "Modeling and Forecasting Volatility in Indian Capital Markets," IIMA Working Papers WP2003-08-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    13. Lau, Sie Ting & McInish, Thomas H., 1995. "Reducing tick size on the Stock Exchange of Singapore," Pacific-Basin Finance Journal, Elsevier, vol. 3(4), pages 485-496, December.

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