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Order Flow, Transaction Clock, and Normality of Asset Returns

Thierry Ané and Hélyette Geman

Journal of Finance, 2000, vol. 55, issue 5, 2259-2284

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.

Date: 2000
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Citations: View citations in EconPapers (74)

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https://doi.org/10.1111/0022-1082.00286

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