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An Ordered Probit Analysis of Transaction Stock PricesJerry A. HausmanMassachusetts Institute of Technology (MIT) - Department of Economics; National Bureau of Economic Research (NBER) Andrew W. LoMassachusetts Institute of Technology (MIT) - Sloan School of Management; Massachusetts Institute of Technology (MIT) - Computer Science and Artificial Intelligence Laboratory (CSAIL); National Bureau of Economic Research (NBER) A. Craig MackinlayUniversity of Pennsylvania - Finance Department; National Bureau of Economic Research (NBER) October 1991 NBER Working Paper No. w3888 Abstract: We estimate the conditional distribution of trade-to-trade price changes using ordered probit, a statistical model for discrete random variables. Such an approach takes into account the fact that transaction price changes occur in discrete increments, typically eighths of a dollar, and occur at irregularly spaced time intervals. Unlike existing continuous-time/discrete-state models of discrete transaction prices, ordered probit can capture the effects of other economic variables on price changes, such as volume, past price changes, and the time between trades. Using 1988 transactions data for over 100 randomly chosen U.S. stocks, we estimate the ordered probit model via maximum likelihood and use the parameter estimates to measure several transaction-related quantities, such as the price impact of trades of a given size, the tendency towards price reversals from one transaction to the next, and the empirical significance of price discreteness.
Number of Pages in PDF File: 74 working papers seriesDate posted: December 27, 2006Suggested CitationContact Information
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