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Estimation Bias Induced by Discrete Security Prices

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Author Info
 Ball, Clifford A
Abstract

Commonly, equilibrium security prices are modeled by continuous state stochastic processes while observed prices are rounded i nto discrete units. This paper models the rounding mechanism and exam ines the probabilistic structure of the resultant rounded process. Th e author provides accurate and simple estimates of the inflation in e stimated variance and kurtosis induced by ignoring rounding. In parti cular, the maximum likelihood estimate of security price volatility, using rounded prices, is developed and a simulation analysis is perfo rmed to examine the small sample properties of this estimator. For ma ny practical applications, a simple correction for rounding becomes a vailable. Copyright 1988 by American Finance Association.

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

Volume (Year): 43 (1988)
Issue (Month): 4 (September)
Pages: 841-65
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Handle: RePEc:bla:jfinan:v:43:y:1988:i:4:p:841-65

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  1. Jerry A. Hausman & Andrew W. Lo & A. Craig MacKinlay, 1991. "An Ordered Probit Analysis of Transaction Stock Prices," NBER Working Papers 3888, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Fernandez, C. & Steel, M.F.J., 1997. "On the dangers of modelling through continuous distributions : a Bayesian perspective," Discussion Paper 5, Tilburg University, Center for Economic Research. [Downloadable!]
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  3. Frank Gerhard & Dieter Hess & Winfried Pohlmeier, 1999. "What a Difference a Day Makes: On the Common Market Microstructure of Trading Days," Finance 9904006, EconWPA. [Downloadable!]
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  4. 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. [Downloadable!]
  5. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2007. "An Inflated Multivariate Integer Count Hurdle Model: An Application to Bid and Ask Quote Dynamics," CoFE Discussion Paper 07-04, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  6. 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. [Downloadable!]
  7. 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. [Downloadable!]
  8. Jeremy Large, 2007. "Estimating Quadratic Variation When Quoted Prices Change by a Constant Increment," Economics Series Working Papers 340, University of Oxford, Department of Economics. [Downloadable!]
  9. Jeremy Large, 2005. "Estimating quadratic variation when quoted prices jump by a constant increment," Economics Papers 2005-W05, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
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  10. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2006. "A Multivariate Integer Count Hurdle Model: Theory and Application to Exchange Rate Dynamics," CoFE Discussion Paper 06-06, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  11. Frank Gerhard & Nikolaus Hautsch, 1999. "Volatility Estimation on the Basis of Price Intensities," CoFE Discussion Paper 99-19, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
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