2020
DOI: 10.1016/j.jeconom.2020.01.021
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Statistical inferences for price staleness

Abstract: Asset transaction prices sampled at high frequency are much staler than one might expect in the sense that they frequently lack new updates showing zero returns. In this paper, we propose a theoretical framework for formalizing this phenomenon. It hinges on the existence of a latent continuous-time stochastic process p t valued in the open interval (0, 1), which represents at any point in time the probability of the occurrence of a zero return. Using a standard infill asymptotic design, we develop an inferenti… Show more

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Cited by 16 publications
(4 citation statements)
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References 29 publications
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“…We take the following model of an observed price and : where and are two independent Brownian motions with a length of , ; a price of ; and . stands for the case when price is not updated due to price staleness (see [ 20 , 43 ]). Prices are rounded to two digits; thus, the tick size is .…”
Section: Resultsmentioning
confidence: 99%
“…We take the following model of an observed price and : where and are two independent Brownian motions with a length of , ; a price of ; and . stands for the case when price is not updated due to price staleness (see [ 20 , 43 ]). Prices are rounded to two digits; thus, the tick size is .…”
Section: Resultsmentioning
confidence: 99%
“…While the i.i.d. case is natural to provide intuitions, it is highly unrealistic in practice (Kolokolov, Livieri, and Pirino, 2020;Bandi, Kolokolov, Pirino, and Renò, 2020). Below we propose a correction to multipower estimators which is designed to work for a more realistic specification of Bernoulli variables presented by Assumption 1.…”
Section: Bias Of Power Variationmentioning
confidence: 99%
“…where W 1 and W 2 are two independent Brownian motions with the length of 2N , N = 10 5 , price P 0 = 100, and ν = 10 −4 . B = 1 stands for the case when price is not updated due to price staleness (see [13,36]). Prices are rounded to two digits, thus the tick size is d = 0.01.…”
Section: Simulationsmentioning
confidence: 99%