- 15The specific rule for exclusion is the following (see Brownlees and Gallo (2006), p.2237): (~pj - yi~(k)~) > 3s~(k) + -y, where yi~(k) is the 6-trimmed mean price, and s~(k) is the standard deviation in the neighbourhood of k observations. A granularity parameter-y is added to deal with the cases where there is no price variability in the neighbourhood. Of all trades in our sample, 0.08% were affected by this filter. Brownlees and Gallo suggest that k should be chosen in accordance with the trading activity in the stock. They choose k = 60 for their sample, which corresponds to a trading intensity of 270*k per day. We use this factor (270) to calculate k for each day for each stock, setting 10 as a minimum value for k. For days with less than k observations, all observations are used. The granularity coefficient should be chosen as a multiple of the minimum price variation (MPV). Brownlees and Gallo choose = 0.02, which is a multiple of 2 of decimal (MPV) used in their sample.
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