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Stats › Intraday and market microstructure › Marking the close

About one per cent of closing prices are manipulated and roughly one episode in 250 is prosecuted

QuantityFigureBasis
Estimated prevalence, specification one1.14% of stock daysDetection model applied out of sample
Estimated prevalence, specification two1.08% of stock daysSame
Prosecuted manipulation0.004% of stock daysHand collected cases
Unprosecuted episodes per prosecuted oneAbout 308 to 326The authors' own arithmetic
Model discriminationAUROC 0.902, 95% interval 0.870 to 0.934Out of sample

Built from 184 manipulated stock days drawn from eight independent legal cases across 31 stocks and four exchanges, against a comparison sample of 1,249,748 stock days. Cases were collected for conduct between 1997 and 2009 and the prosecuted cases used run from 1998 to 2005.

A detection model fitted on prosecuted cases and applied to 1.25 million stock days estimates that 1.08 to 1.14 per cent of closing prices are manipulated. Prosecuted cases account for 0.004 per cent of stock days.

1.08% to 1.14%Estimated share of stock days with a manipulated close
0.004%Share of stock days with a prosecuted case
About 0.4%Implied share of manipulation that is prosecuted
AUROC 0.902Out of sample discrimination of the detection model

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