We investigate the distribution of high-frequency price changes, conditional on trading volume and duration between trades, on four stocks traded on the New York Stock Exchange. The conditional probabilities are estimated nonparametrically using local polynomial regression methods. We find substantial skewness in the distribution of price changes, with the direction of skewness dependent on the sign of trade. We also find that the probability of larger price changes increases with volume, but only for trades that occur with longer durations. The distribution of price changes vary with duration primarily when volume is high.
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References
Cai Z 2002 Regression quantiles for time series. Econom Theory 18:169-192
Chen SX 2000 Probability density function estimation using gamma kernels. Ann Inst Stat Math 52:471-480
Diamond DW, Verrecchia RE 1987 Constraints on short-selling and asset price adjustment to private information. J Financ Econ 18:277-311
Dufour A, Engle RF 2000 Time and the price impact of a trade. J Finance 55(6):2467-2498
Easley D, O’Hara M 1992 Time and the process of security price adjustment. J Finance 47 (2):577-605
Easley D, Kiefer NM, O’Hara M 1997 The information content of the trading process. J Empir Finance 4:159-186
Engle RF 2000 The econometrics of ultra-high frequency data. Econometrica 68(1):1-22
Engle RF, Gonzalez-Rivera G 1991 Semiparametric ARCH models. J Bus Econ Stat 9:345-360
Engle RF, Russell JR 1998 Autoregressive conditional duration: a new model for irregularly spaced transaction data. Econometrica 66(5):1127-1162
Fan J, Gijbels I (1996) Local polynomial modelling and its application, monographs on statistics and applied probability 66, Chapman & Hall/CRC
Fan J, Yao Q (2003), Nonlinear time series: nonparametric and parametric methods, Springer
Gallant AR, Hsieh DA, Tauchen G (1991) On fitting a recalcitrant series: the Pound/Dollar exchange rate, 1974-83. In: Barnett WA, Powell J, Tauchen G (eds) Nonparametric and semiparametric methods in econometrics and statistics: proceedings of the fifth international symposium in economic theory and econometrics, Cambridge University Press
Gallant AR, Rossi PE, Tauchen G 1992 Stock prices and volume. Rev Financ Stud 5(2):199--242
Grammig J, Wellner M 2002 Modeling the interdependence of volatility and inter-transaction duration processes. J Econom 106:369-400
Hall P, Presnell B, Intentionally Biased Bootstrap Methods. J R Stat Soc B 61:143-158
Hall P, Wolff RCL, Yao Q 1999 Methods for estimating a conditional distribution function. J Am Stat Assoc 94(445)154-163
Jones CM, Kaul G, Lipson ML 1994 Transactions, volume, and volatility. Rev Financ Stud 7 (4):631-651
Lee CMC, Ready MJ 1991 Inferring trade direction from intraday data. J Finance 46(2)733-746
Renault E, Werker BJM (2004) Stochastic Volatility Models with Transaction Time Risk, manuscript, Universite de Montreal and Tilburg University
Russell JR, Engle RF (2004) A Discrete-state continuous-time model of financial transactions prices: the ACM-ACD Model, forthcoming in J Bus Econo Stat
Tay AS, Ting C, Tse Y, Warachka M (2004) Transaction-data analysis of marked durations and their implication for market microstructure, Singapore Management University SESS Work-ing Paper
Vergote O (2005) How to match trades and quotes for NYSE stocks? Center for economic studies discussion paper, K.U.Leuven, DPS 05.10
Wand MP, Jones MC (1995) Kernel smoothing, Monographs on statistics and applied probability 60, Chapman & Hall/CRC
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Tay, A.S., Ting, C. (2008). Intraday stock prices, volume, and duration: a nonparametric conditional density analysis. In: Bauwens, L., Pohlmeier, W., Veredas, D. (eds) High Frequency Financial Econometrics. Studies in Empirical Economics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-1992-2_11
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DOI: https://doi.org/10.1007/978-3-7908-1992-2_11
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